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Master's Theses Graduate College
4-1984
A Geophysical Investigation of a Possible Astrobleme in Southwestern Michigan
Suhas L. Ghatge
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Recommended Citation Ghatge, Suhas L., "A Geophysical Investigation of a Possible Astrobleme in Southwestern Michigan" (1984). Master's Theses. 1498. https://scholarworks.wmich.edu/masters_theses/1498
This Masters Thesis-Open Access is brought to you for free and open access by the Graduate College at ScholarWorks at WMU. It has been accepted for inclusion in Master's Theses by an authorized administrator of ScholarWorks at WMU. For more information, please contact [email protected]. A GEOPHYSICAL INVESTIGATION OF A POSSIBLE ASTROBLEME IN SOUTHWESTERN MICHIGAN
by
Suhas L. Ghatge
A Thesis Submitted to the Faculty of The Graduate College in Partial Fulfillment of the requirements for the Degree of Master of Science Department of Geology
Western Michigan University Kalamazoo, Michigan April 1984
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. A GEOPHYSICAL INVESTIGATION OF A POSSIBLE ASTROBLEME IN SOUTHWESTERN MICHIGAN
Suhas L. Ghatge, M.S.
Western Michigan U n iv ers ity , 1984
A circular pattern to the oil production in Calvin Township,
Cass County, Michigan, absence o f about 1200 fe e t of Ordovician sediments
and uplift indicated by a deep drill hole in the center of the productive
area and absence o f anomalies on the regional g ra vity and magnetic maps
led to detailed gravity and magnetic surveys over this structure to
delineate it and provide information regarding its genesis.
The Bouguer g ra v ity and magnetic anomaly maps show no anomaly
associated w ith the s tru ctu re. The 28-m ile wavelength second harmonic
residual gravity and magnetic maps show linear features in the area.
Two dimensional gravity modeling of the NNW-SSE trending linear feature
over the area of circular production is interpreted as upthrusting
involving the basement rocks. The NNW-SSE trending Jefferson fie ld
appears to be truncated by NE-SW trending faults.
The lack of a circular gravity anomaly and the lack of direct
geologic evidence in support of the impact origin leaves the question
of genesis open.
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. ACKNOWLEDGEMENTS
This p roject would not have been possible without the funds from
the Western Michigan University Graduate College Research Grants and the
support of Dr. William Sauck who organized and developed many of the
ideas in this investigation. I would like to thank him for his help.
I would also like to thank Dr. Straw, Dr. Grace and Dr. Harrison for
ideas, recommendations and inform ation. I am also thankful to Mr.
Florencio Mata of Hosking Geophysical for suggesting this problem and
Mr. Ron DeHaas o f Michigan Petroleum Geologists Inc. and Mr. Robert
Mannes of Mannes Oil Corp. for providing some geologic and geophysical
inform ation. Special thanks are extended to Mr. Douglas Daniels of
the Michigan Department of Natural Resources fo r providing time fo r
discussions and for making available geological information on the area.
Thanks are also extended to the Department of Geology, Albion College,
fo r providing th e ir Magnetometer and to the Computer Center a t Western
Michigan U niversity fo r the computer time.
Last, but not the least, I would like to express my deepest
appreciation and thanks to my wife Gauri who helped me in my data
collection and during the process of writing this report. Her care
and patience were important and vital during all aspects of the survey.
Suhas L. Ghatge
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GHATGE, SUHAS LAXMAN
A GEOPHYSICAL INVESTIGATION OF A POSSIBLE ASTROBLEME IN SOUTHWESTERN MICHIGAN
WESTERN MICHIGAN UNIVERSITY M.S. 1984
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Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE OF CONTENTS
ACKNOWLEDGEMENTS ...... i i
LIST OF FIGURES...... v
LIST OF PLATES...... vi
Chapter
I . INTRODUCTION ...... 1
Objective ...... 1
Location ...... 7
Physiography ...... 7
Approach ...... 7
I I . GEOLOGY...... 9
Regional Geology ...... 9
Local G eo lo g y ...... 15
I I I . GRAVITY AND MAGNETIC SURVEYS OVER ASTROBLEMES ...... 17
IV. FIELD METHODS...... 27
Gravity Survey ...... 27
Magnetic Survey ...... 28
V. DATA REDUCTION AND PLOTTING...... 30
Gravity Data Reduction ...... 30
Magnetic Data Reduction ...... 31
Data P lo t t in g ...... 32
i i i
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Chapter
VI. INTERPRETATION...... 33
Data A nalysis ...... 33
Map Interpretation ...... 34
Gravity Modeling ...... 39
V II. CONCLUSION...... 44
APPENDICES
A. GRAVITY MODELING PROGRAM ...... 47
B. GRAVITY DATA...... 67
BIBLIOGRAPHY ...... 71
iV
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. LIST OF FIGURES
Figure Page
1. Location Map of the Survey Area ...... 2
2. Oil Field Location Map of Calvin Township, Cass County, Michigan ...... 3
3. Bouguer G ravity Anomaly Map of the Southern Peninsula of Michigan ...... 5
4. Total Magnetic Intensity Map of the Southern Peninsula of Michigan ...... 6
5. Structure in the Vicinity of the Michigan B asin ...... 10
6 . Strati graphic Succession in M ichigan ...... 11
7. Basement Surface Configuration Map of the Southern Peninsula of Michigan ...... 13
8 . Interpreted Regional Basement Lithology, Southern Peninsula o f Michigan ...... 14
9. A. Bouguer Anomaly Map, Gosses B lu ff, A u s tra lia ...... 18
B. Residual Anomaly Map, Gosses B lu ff, A u s tra lia ...... 18
10. A. Total Magnetic Intensity Anomalies, Ries, Germany .... 20
B. Residual Gravity Field, Ries, Germany ...... 20
11. Bouguer Anomaly Map, Flynn Creek C rater, Tennessee ...... 24
12. Total Intensity Magnetic Anomaly Map, Flynn Creek C rater, Tennessee ...... 25
13. Borehole Section Across the Structure in Calvin Twp ...... 4]
14. Residual Gravity Profile A-A' and 2-D Gravity Upthrust Model Profile ...... 43
v
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. LIST OF PLATES
Plate
I. Bouguer Gravity Anomaly Map, South-central Cass County, Michigan
II. Total Magnetic Intensity Anomaly Map of South-central Cass Co., Michigan
III. F irs t Harmonic Residual Gravity Map, Wavelength = 16 Miles; South-central Cass Co., Michigan
IV. F irs t Harmonic Residual Gravity Map, Wavelength = 28 Miles; South-central Cass Co., Michigan
V. Second Harmonic Residual Gravity Map, Wavelength = 28 Miles; South-central Cass Co., Michigan
VI. Second Harmonic Trend Surface G ravity Map, Wavelength = 28 Miles; South-central Cass Co., Michigan
VII. F irs t Harmonic Residual G ravity Map, Wavelength = 42 Miles; South-central Cass Co., Michigan
VIII. Residual Magnetic Map; South-central Cass Co., Michigan
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER I
INTRODUCTION
Objective
The discovery of oil in the Traverse limestone of Middle Devonian
age in the Calvin Township, Cass County o f Michigan (F ig . 1 ), led to
the development of the Calvin-28 oil field located in sections 27, 28,
29, 32, 33 and 34, T14W,R7S of Cass County, Michigan. The production was
found to be in a circular pattern with a diameter 1.5 miles which led to
the drilling of deep holes in the center and on the edge of the circular
producing area (Fig. 2). In the deep hole at the center o f the produc
tion (Hawkes-Adams 1-28) there is an indication from the well logs of
the absence of about 1200 feet of Ordovician sediments as a result of
uplift and erosion during Late Ordovician time. Lawson 1-28, the deep
hole on the edge of the production, is 0.75 miles northeast of the
Hawkes-Adams 1-28. The Lawson 1-28 cut a t lea s t two thrust fa u lts that
duplicate portions of the Trenton and Black River Formations. The
Utica Shale was not encountered and the dips are very disoriented
below the faults as indicated by dipmeter log. The Hawkes-Adams 1-28
deep te s t did not encounter the sequence from the Upper Munising
Formation to the Utica Shale (DeHaas, personal communication, 1983).
DeHaas suggested that the Eau Claire was uplifted over 1400 feet
probably due to a large thrust fault. He described the structure as
1
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 2
CASS
Lagrange Penn
Jefferson Calvin
Ontwa Mason
Figure 1. Location map of the survey area.
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. -9 - o '/«. PEW . M l l i Heiass • n t ± 1 1 >
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3 A ©2 I © 6© 1 m an n er Low son Low ski TOTIMg Totimo 7s I4w o o S S l 21 o ©1 4 - * 2 0 I Orach c7i Orach * o Hawks M A H N ^ Bnvdtr Havka HAU.WELL Lawsdn MANNES MANNES FAVETT^ -# -# # ] 2 VIN 1 *
02 o v © 1 # C C AL mannes Hawks Adams MANNES MANNES BOWSCf Adams Horns Bowers FAVETTE FAtCTTC 6«tfh i GEO 1 ° ' rf © * r 1- 3o 6© 4 ©
Smith ^ Rraaar AdQoa wotta GEO.Tt^ Bowars C C O .T^ r r t 4 4 © re E I V o © FATE FATE * © CO LAK FAtET a , Smith Smilh /S m ith I ^ smith 0 0 19 2 “I ... 2 . 0 J UNI J R ally CAST Sartfc fAtETTJ ^ S S I (from Oil § Gas News.) CP Rally EAST A © ® 2 ‘ © e Oordon EAST fATETTC Me M Me e OMNI Wood © © - I f . " MANNES h Bouto^cw MANNES C arlisle HABRIS wood HAAftlS 4 - NATIVE E. m annes ° Wood 4 Figure 2. Oil Field location map of Calvin twp., Cass Co., Michigan, 50 50 t* V 19 0 * o (SANMCI McKes K ontiefh Gifrbt OMNI CM. NAT. ^Carlisle V Al P 1 OMNI
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. being similar to cryptoexplosive structures in midcontinental United
States. The Kentland structure in Indiana (Gutschick, 1971), the
Versailles structure (Black, 1964), Jeptha Knob (Seeger, 1966) in
Kentucky, the Glasford structure in Illin o is (Buschbach and Ryan, 1963)
and the Serpent Mound structure in Ohio (Bucher, 1963) are some mid
continent features that have been referred to as cryptoexplosive struc
tures. The Lawson 1-28 has an Ordovician section which according to
DeHaas (personal communication, 1983) is s im ila r to that exposed a t the
Kentland structure in Indiana and the Glasford structure, Illinois,
which have been considered to be possible astroblernes.
Seismic surveys have been conducted in Cass County, but the confi
dential nature of these investigations has resulted in a paucity of
published information on the applicability of seismic methods to
delineate the location and structure of the production. Florencio
Mata (personal communication, 1982) described the structure responsible
for the production as being probably due to the presence of a possible
astrobleme o f Upper Ordovician age which could account fo r the absence
of about 1200 fe e t o f Lower Ordovician sediments and the central u p lif t
of the subsequent sediments. Seismic sections across the area were
described by him as being similar to those across structures in the
Williston Basin that have been considered to be astroblernes (Sawatzky,
1975).
The above information and the absence o f anomalies in the area
on the Regional Bouguer Gravity Anomay and Total Magnetic In te n s ity
Anomaly Maps of the Southern Peninsula of Michigan (Figures 3 and 4)
prepared by Hinze and M erritt (1969) and Hinze et al_., (1971) gave the
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 5
■»- /4it.rs Contour Int. • lmi'lliga
Figure 3. Bouguer Gravity Anomaly Map of the Southern Peninsula of Michigan (from Hinze et al.,1971)
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 6 MU*S ONTARIO *0 iwaBa|l 2 TOTAL MAONCttC IN flN JIfT MAP !•«•««• !•«•««• n tltftl H >MWH Oia*J SOUTHERN P IM H 3 U L A OP MICHIGAN Peninsula of Michigan(from Hinze et al.,1971).
wl m « m l l l Wm f t m
I** Figure 4. Total Magnetic Intensity Map of the Southern Reproduced with permission ofthe copyright owner. Further reproduction prohibited without permission. 7
necessary impetus for conducting detailed gravity and magnetic investi
gations in the area.
Location
The area under investigation includes portions of the Penn, Calvin,
P orter, Jefferson, Mason and Ontwa Townships in Cass County o f South
western Michigan (Fig. 1). The study area is about 12 miles by 14 miles,
and lie s between la titu d e 41° 451N and 41° 561N and longitude 85° 49'W
and 86 ° 6 'W. It is covered by portions of the Vandalia and Cassopolis
quadrangles, 15-minute series, Michigan-Indiana (USGS Maps).
Physiography
The area has numerous lakes and swamps w ith r e lie f mainly due to
the uneven disposition of the glacial material forming a rolling sur
face, smooth rounded slopes, knobs and ridges of sand and gravel. This
is characteristic of topography in glaciated areas. The elevation
ranges from 700 fe e t to 1100 fe e t. The northwestern part o f the area
is relatively flat and under agricultural cultivation.
Approach
The gravity observations in the field were carried out using the
Worden Prospector gravimeter and the field data was corrected with
la titu d e and elevation factors to determine the Bouguer g ravity
anomalies. Sea-level was assumed as the datum, the density used as
2.67 gm/cc and the formula used as the In tern atio n al Gravity Formula
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. of 1930. The Bouguer g ra v ity anomalies were analyzed using Double
Fourier Series to remove the regional and obtain residual gravity values.
The Bouguer g ra vity values from 178 stations were analyzed fo r residual
values.
Magnetic field observations were taken at 159 stations using two
Geometries Proton Precession Magnetometers (Model G816). One magneto
meter was used as the mobile field unit while the other was used as the
stationary base station unit to correct the field data for the diurnal
variations to obtain total magnetic field intensities. Pipelines, well
casings, fences and other ferromagnetics were avoided as much as
possible.
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER I I
GEOLOGY
Regional Geology
The Michigan Basin is located in the midwestern portion of the
large North American craton. The structural basin is surrounded by
major geologic features which define the basin framework (Cohee and
Landes, 1958). The Precambrian rocks of the Lake Superior Syncline
form the northern boundary o f the basin. The Wisconsin Arch forms the
western boundary, the Kankakee Arch in Indiana and the Findlay Arch in
northwestern Ohio form the southern boundary and the Algonquin Axis,
probably fa u lt co ntrolled (F ish er, 1969), forms the Eastern boundary
of the basin (Fig. 5).
The sedimentary rocks of the basin dip in a northeasterly direction
toward the center of the structural basin at a rate of 25 to 60 feet per
mile (Ells, 1969). The Paleozoic rocks in southwestern Michigan
(F ig . 6 ) comprise of a th ick sequence which includes Cambrian sand
stone sequence, a carbonate, sand and evaporite sequence o f Lower
Ordovician to Middle Devonian age, an Upper Devonian-Mississipian
sequence of sandstone, carbonate, anhydrite and shale.
The dominant trend in major folds and faults in the Michigan Basin
is NW-SE (Newcombe, 1933; P irtle, 1932). This NW-SE trend direction
was confirmed by the regional gravity and magnetic data of Hinze and
9
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. MAJOR STRUCTURAL TRENDS SOUTHERN PENINSULA ANO VICINITY
ANTICLINE SYNCLINE
FAULT GRENVILLE FRONT
LAKE SUPERIOR SCALE w 20 20 AO MILES
N / /! ‘ yS. T»'.0 • ■7'
CHATHAM SAG
INDIANA
INDIANA-OHld PLATFORM
Figure 5..v— Structure in the Vicinity of the Michigan Basin. (from Ells, 1969)
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 11
STRATIGRAPHIC SUCCESSION IN MICHIGAN
PALEOZOIC THROUGH IECZST nHSTOONt NOMlNOAnjRI IRA SYSTEM SERIES STAGE AKIMf MKMUAN M9MTMMT Of COWUVATSO*) IwOwllIlW ill RWlM W * A.Hm M Op——» 8 QUATERNARY HmroCTHi O r WA o I» m I w « 8 »«e*eClww EIIIKUaEACE NOMENCLATURE OUTCROP NOMENC1ATURE lOOtJTMIICIlAmC •OCK-JT*AT*0AAfHtC f o r m a t io n m e m b e r g r o u p
SERIES GROUP f o r m a t io n OOMNAHT imooct INFORMAL TERMS
ITIAnCAWHC W nO N MOUUA IBM)
ew otu n o M e w ti
PPtAHOEVdNfgR
zsm «s™
crxan im* u n o n n v a
IASSiuahdi IASS BLAMM
EXPLANATION
U~hMP^ rfiRTT H*aJK CAlAJtACT M l
»«H«M
•svoAa
ruMCUom EUM CXJ Q«^
IT. OUMXJJI u n v jttu x
Figure 6. Stratigraphic succession in Michigan.
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. and Merritt (1969). A basement control has been suggested for the
faults and folds in the basin (Cohee & Landes, 1958; Hinze, 1963;
Hinze & M erritt, 1969).
Based on the 19 poorly d is trib u te d basement d r ill holes and depths
interpreted from a total magnetic intensity map, Hinze and Merritt
(1969) depicted the basement surface configuration (F ig . 7 ). The Pre-
cambrian basement surface was depicted by Hinze and M e rritt (1969) as
a uniform and oval depression, with a maximum depth of 15,000 feet below
sea level near the center of Bay County. Figure 8 depicts the inter
preted regional basement lith o lo g y in the southern peninsula of
Michigan (Kellogg, 1971). The few existing drillholes penetrated
granite, granite gneiss, granite regolith, mafic gneiss and some
metasediments. The mid-Michigan anomaly on the g ravity anomaly map
(Fig. 3) prepared by Hinze et aj_. (1971) is probably due to mafic
rocks. The anomaly has also been in terp reted as having its source
in a Keweenawan paleorift zone expressed locally as a basalt trough,
and generally as a disturbance of the deep crustal layers by intrusion
and upwarp (Hinze & M erritt, 1969). Hinze et a_L (1971) suggested
th a t the broad negative g ra vity anomaly associated with the basin
re fle c ts the lower density o f the sedimentary rocks in comparison to
the underlying basement rocks and th a t the g ra v ity anomalies derived
from bedrock topography and sedimentary structures such as reefs and
fracture zones have short wavelengths and positive and negative ampli
tudes of less than 1 mi 11igaT and commonly less than 0.5 m illigals.
The magnetic anomalies are primarily the effect of gross basin
co nfiguration, basement topography and intrabasement lith o lo g ic
variations (Hinze et al., 1971).
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 8 6 *0 0 ' 8 5 *0 0 ' 8 4 °0 0 ' 83 *00'
4 3*3 0 3 0 0 0 ABASEMENT DRILL HOLE • BASEMENT MAGNETIC DEPTH ©BASEMENT MAGNETIC DEPTH WHICH EXCEEDS CONTOUR VALUE BY 10% OR MORE "=ioooo;
•/
+ 4 4 * 0 0
' - I 5 0 0 0 * '-i400opL+— -1 3 0 0 0 - ^ooo'I^-n&oo - 10000-
8 0 0 0 + 9 0 0 0 * -7 0 0 0
V •
- 4 0 0 0
8 5 * 0 0 ’ 0 10 20 SCALE 0 0 * 0 Datum Sea Level Contour Interval 1000 feet
Figure 7. Basement surface configuration map of the Southern Peninsula of Michigan (from -.Hinze § Merritt, 1969)
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. MAFIC V0LCANIC3 BASEMENT PROVINCE MAP MAFIC EX THUS IVES SCALE ANO IN - metavolcanics , metasediments TnUSIVES 20 MILES AND GNEISSES 3 0 3
+ 4 3 *0 0
4 8 * 00* +
EXTRU- SIVES, / METASEDIMENTS MAFIC IN - METAVOLCANICS TRUSIVES, AND GNEISSES NEISSES/ AND / META- / EOIMENTS + 4 4 *0 0
4 4 * 0 0 * +
METAVOLCANICS
MAFIC GNEISSESy ^
MAFIC INTRUSIVES, | GNEISSES ANO GRANULITE
4 3 * 0 0 ' + MAr C GRANITE, FELSIC AND INTRUSIVES MAFIC GNEISSES, EX A N D E X T R U TRUSIVES AND GIVES AND ETASEDIMENTS \ MAFIC a J s n e is s e s
+ 4 2 *0 0
42 * 0 0 * +
+ 8 2 *3 0 86*30 8 3 *3 0 8 4 *3 0 8 3 *3 0 ' PREDOMINANT E23 PENOKEAN (I.8-I.88.Y.) Q KEWEENAWAN(I.03-I.I3BY.) STRUCTURAL TREND r r q CENTRAL (1.2 —1,3 BY) S ORENVILLE ( 0 .8 - I . I B.Y.)
Figure 8. — Basement Province Map of the Southern Peninsula of Michigan, (from Kellogg, 1971)
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Local Geology
The area under investigation is a portion of the southwestern
flank of the Michigan basin. The Paleozoic sequence overlying the Pre-
cambrian basement consists of the Mt. Simon Sandstone, the Eau Claire,
the Dresbach, the Franconian and Trempealeau Formations of Cambrian age
the Praire du Chien Group, St. Peter Sandstone, Black River Group,
Trenton Group and Cincinnatian Series of Ordovician age; the Cataract
Group and Clinton Formation, Niagaran Series, Salina Series and Bass
Island Groups of Silurian age; Sylvania Sandstone, Detroit River Group,
Dundee Limestone, Traverse Limestone and Traverse Formation of Devonian
age and the bedrock subcropping under the glacial d r ift is the Antrim
Shale or the Ellsworth Shale of early Mississippian age (Fig. 6). The
regional dips in the area range from 19 feet per mile for the Traverse
Formation to 48 feet per mile for the Niagaran Series in a 14.5 mile
long section from section 35 of Jefferson Township to section 26 of
Volinia Township of Cass County, Michigan (Doug Daniels, personal
communication, 1983). The Utica Shale, Trenton, Black River,
Praire du Chien, Upper Trempealeau and Upper Munising formations were
not encountered in the Hawkes-Adams 1-28 in section 28 of the Calvin
Township. Rocks of the Cincinnatian Series directly overlay the
Cambrian Trempealeau Formation. The entire sequence appears to
have been uplifted. The Lawson 1-28 in section 28 of the Calvin
Township encountered two thrust faults and the Black River Formation
has been duplicated due to this faulting. The Utica Shale is missing.
The dips below the faults, indicated by dipmeter log, are highly irreg
ular ranging from 10 to 70 degrees towards the east and northeast with
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. fracturing and fragmentation (DeHaas, personal communication, 1983).
The Gordon Smith 1-20 deep well in section 20, Calvin Township, encoun
tered an unusually thick Glenwood-St. Peter Sandstone sequence and the
Trempealeau-Praire du Chien sequence appears to be missing (DeHaas,
personal communication, 1983). The Jefferson fie ld which is to the
west of the Calvin Field in Jefferson Township has a NNW-SSE trend to
the production which is probably fau lt controlled. Newcombe (1933)
and Hinze and M erritt (1969) have noted this trend direction in the
Michigan Basin. Other deep wells in the area show a normal sequence
of Paleozoic sediments in the area with dips toward the Basin depocenter
in Midland County.
The Precambrian basement in the area is probably granite gneiss
and metasediments (Fig. 8 ) as determined from deep holes and magnetic
and gravity maps (Kellogg, 1971). Depth determinations carried out by
Kellogg (1971) on the basis of magnetic data show that the average depth
to basement in Cass County ranges from 3495 feet to 3740 feet below
mean sea-level. He determined the depths from the straight slope
methods and Peters' half slope method. The nearest basement d r i l l
hole is in section 10, Berrien County, and i t encountered the Pre
cambrian metasediments at a depth of 3800 feet below sea-level. The
basement configuration map (Fig. 7) shows the generalized depth of the
basement for the region.
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER I I I
GRAVITY AND MAGNETIC SURVEYS OVER ASTROBLEMES
The term astrobleme, from the Greek roots meaning 'star wound',
refers to ancient scars le f t in the earth's crust by meteorites
(Dietz, 1968). McCall (1977, 1979), French and Short (1968), Silver
and Schultz (1982) and Middlehurst and Kuiper (1963) have edited and
commented on various publications concerning possible Astroblemes or
cryptoexplosion structures in the world. McCall (1977, 1979) has
classified cryptoexplosive structures-astroblernes on the basis of
evidence or proof of their genesis. McCall (1979) has cited unique
indicators of impact explosions: shatter cones, the high pressure
polymorphs of silica, coesite and stishovite, shock lamellations,
diaplectic glasses, impactites and impact melts and breccias.
A number of these astroblemes have been geophysically investigated.
The results of the gravity and magnetic studies of some of these crypto
explosion structures-astrobiernes are described below. These structures
are of class IV A of McCall (1979) where these structures are either
deeply eroded or buried or complex and do not display an immediately
apparent physiographic form of meteorite craters. All are possible
meteorite impact-explosion structures and display some form of shock
metamorphism or brecciation.
The Bouguer gravity map of the Gosses Bluff impact structure
(Fig. 9A) in Australia shows low values. The residual gravity map
(Fig. 9B) indicates a residual gravity low, circular and centered on
17
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. oo aV ,3 ,3 r . i (b) a n w B nrtd Baoar ♦ Ban (from (from Milton et al.,1972) (a) lit fll I f b)Residual Anomaly map, Gosses Bluff, Australia. /// \ Figure 9. Figure 9. aJBouguer Anomalymap, Gosses Bluff, Australia. Z 3 *M
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 19
the Bluff. The fir s t regional aeromagnetic survey showed no anomaly
for Gosses Bluff. A la te r survey, however, showed a local anomaly of
-75 gammas and a detailed ground magnetic survey at the base of the
south wall of the B luff reveal two anomalies (Milton et aj_., 1972).
The Bouguer anomaly map around Lake Lappajarvi Basin in Finland
indicates a negative anomaly of 5 to 10 mi H i gals over the basin which
is 10 to 17 miles diameter. The presence of shock-induced deformations,
transformations and fusion indicate that this feature is due to meteoric
impact sometime between Precambrian and Pleistocene times (Engelhardt,
1972), probably late Cretaceous age according to Grieve (1982).
The Ries structure, southern Germany, has a diameter of 24 k ilo
meters and with a centrosymmetrical residual negative gravity anomaly
that is thought to be due to fillin g of the crater by breccias and
Mesozoic sediments (Fig. 10A). The total intensity of geomagnetic
fie ld near Ries shows moderate negative anomalies due to the presence
of suevite in the sediments (Fib. 10B). The Ries structure has been
dated as upper Tortonian age (late Miocene) (Dennis, 1971).
The Steinheim Basin, Germany, has a diameter of 2.2 miles and
slight negative gravity anomaly that is due to the presence of sedi
ments, breccias and brecciated bedrock in the center part of the
feature. The magnetic fie ld shows a small positive anomaly 2 miles
south-southeast of the center. This structure has a central u p lift.
The topography, central u p lift with shatter cones and breccias indicate
an impact origin at about the same age as the Ries structure, that is,
late Miocene (Engelhardt, 1972).
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. ro o krts’l WO WOfl«rzOStK3W WO
•CH01MOCW •CH01MOCW O OCMNCCN “!o5~ ulQQ (b) Q|90 0190 Contour Contour interval:1 gamma, 10*24* II (from Dennis, Dennis, (from 1971).
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. The Popigay meteorite crater, U.S.S.R., shows negative gravita tional and magnetic anomalies caused by the lower density of shattered and re-fused rocks and their weak magnetization. The feature has a central uplift, explosion breccia, suevite, and shatter cones which indicate an impact origin during the Neogene (Miocene) age (Masaytis et al.., 1971). The negative gravity anomaly field in the Deep Bay Crater of Saskatchewan, Canada, with a diameter of 8.5 miles shows deformation of the rocks underlying waters of Deep Bay in the form of intense fracturing and fragmentation (Innes, 1964; Innes et aj_., 1964). The negative anomaly forms a circular pattern concentric with the feature with amplitude of gravity variation of about 20 mi 11igals near the center of the bay. The Aeromagnetic map of the Geological Survey of Canada shows small and uniform variation in intensity over the central portion of the crater not exceeding 190 gammas with uniform gradients no larger than 50 gammas as compared to the surroundings (Beals et a l., 1963). The date of formation of the crater is indicated at 100 + 50 M years (Grieve, 1982). Magnetic fie ld anomalies of low intensity in the 18-mile diameter Carswell structure in Canada are characteristic of impact craters due to blanketing effect of brecciated and highly shocked material under lying the crater floors. The greatest magnetic disturbance is in te r preted as an indication of central uplift. The gravity map shows a negative gravity anomaly and is described as due to a dolomite ring. The higher gravity anomalies in the center are due to the central u p lift of the uneroded impact breccia (Innes, 1964). Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 22 The Lake Wanapitei structure, Canada, probably formed in late Paleozoic or Mesozoic time and is described as showing a relatively uniform featureless magnetic fie ld . The Bouguer gravity anomaly map indicates a local, circular gravity depression of about 15 mi 11igals (Dence & Popelar, 1972). Grieve (1982) gave the age of the crater at 37 + 2 M years. The gravity interpretation in the Sudbury area, Canada, has failed to produce evidence in support of the meteorite impact hypothesis for the origin of the Sudbury structure because the features associated with this structure are not well preserved and i t cannot be properly studied. The residual gravity map shows a nearly circular anomaly over the Sudbury structure and the regional magnetic map shows an oval positive anomaly (Popelar, 1972). Gravity observations of the Brent Crater, Canada (Beals et a l., 1963; Millman et al_., 1960), and Holleford Crater of Precambrian age in Canada (Beals, 1960; Beals et al_., 19.63) indicate the presence of c ir cular negative gravity anomalies associated with both these craters. These anomalies have been interpreted as being due to sediments fillin g the craters and the presence of crushed and fragmented rock due to meteorite impact and explosion (Innes, 1961). The aeromagnetic survey over Brent Crater shows marked contrast between intensities observed within and outside the rim of the crater. An aeromagnetic survey over the Holleford crater shows uniform variation of contours indicating absence of an anomaly (Beals et al_., 1963). A gravity survey over the Nicholson Lake area of Canada shows a disturbance of the gravity field at Nicholson Lake. Removal of the Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 23 regional’ gave an approximately circular negative residual anomaly with a central low of 7.5 milligals (Dence et aJL » 1968). Gravity surveys over the Clearwater Lakes (Dence et al_., 1965) and West Hawk Lake crater (Dence et , 1968) in Canada indicate negative anomalies of the kind expected for craters underlain by large volumes of breccia and shattered rock. No closed gravity anomalies (Fig. 11) and no large magnetic anomalies (Fig. 12) are associated with the Flynn Creek Crater, Tennessee. I t was probably formed during the Devonian period and has a diameter of 2.2 miles with a large central h ill, highly deformed rim strata and a breccia lens within the crater (Roddy, 1968). The Wells Creek structure, Tennessee, was formed in Late Mississipian or Early Pennsylvanian age. I t has been described as showing regional gravity lows trending down both the east and the west sides of the structure and regional gravity highs bound the structure to the north and the south with a small central gravity high that is due to a central uplift of more than 2500 feet (Stearns et al_., 1968). The Versailles structure in Kentucky has a diameter of about 1 mile and gravity and magnetic surveys of i t show no anomalies. Apparently there are no anomalous densities or magnetizations associated with this structure indicating that basement rocks are not involved in the defor mation (Seeger, 1972). The gravity survey over the Kentland structure, Indiana, shows an encircling outer positive anomaly interpreted as a ring anticline with an inner negative anomaly due to a ring syncline and a central positive Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 24 40' Gainesboro 36* 20' 36* 20 ' Flynns Liclv o, - 2 km. 2 me 36* 10' 36* 10' 8 5 *4 5 ' 40 ' 8 5 * 3 5 ' Contour interval: 1 milligal. Figure 11. Bouguer Anomaly Map, Flynn Creek Crater, Tennessee(from Roddy, 1968). Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 25 65 *45 ' 4 0 ' 8 5 ° 3 5 ‘ 3 6 *2 0 ' oF lynns Lick y 200 200 3 mi 4 km. 4 0 ' Contour interval: 25 gammas. Figure 12. Total Intensity Magnetic Anomaly Map, Flynn Creek Crater, Tennessee. (from Roddy, 1968) Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 26 anomaly over the central u p lift, this is used to interpret basement u p lift of 2000 to 3000 feet and hence involvement of the basement rocks in the structure. Because there is no significant magnetic anomaly directly associated with the structure, it is interpreted as a basement u p lift rather than an igneous intrusion (Tudor, 1971). Shock meta- morphic structures and shatter cones have been observed at Kentland (Gutschick, 1971). Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER IV FIELD METHODS The Gravity Survey The Worden Prospector gravimeter capable of being read to the nearest .01 mi 11igal (1 mi 11igal = 0.001 cm/sec ) was used in this study. The gravimeter is capable of measuring variations as minute as one unit in 100,000,000 of the earth's total gravity field. Survey Procedure Gravity readings were taken along all available roads at approxi mately 1-mile intervals. Coverage was extended at the center of the area of interest by using gravity readings at 1/4-mile intervals. Accuracy of the gravimeter readings was maintained by taking repeated observations at each station until duplication was obtained within 0.2 scale divisions. The calibration constant of the Worden gravimeter of 0.09706 m illigal/division was used throughout the survey. Survey stations were established at selected benchmarks, spot elevations at road intersections or section boundaries. Station elevations were taken from USGS topographic maps (Cassopolis and Vandalia Quadrangles) and the local station elevations were interpolated from the topographic maps having 10-foot contour intervals. Interpolation error is estimated to be + 1 foot relative to the contour lines. However, USGS map . 27 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 28 specifications normally suggest that at least 90% of the elevations interpolated from the contour lines shall be correct within one-half the contour interval. The primary base station established by the Michigan State University is 4 miles due west of Cassapolis on the Pokagon Highway at the -intersection with Old Mills Road on the northern edge of the road. The observed gravity at this station is 980284.18 mi 11igals and the elevation is 920 feet. Magnetic Survey Instrumentation Two Geometries Proton Precession Magnetometers (Model G816) were used in this survey. The instrument is accurate within + 1 gamma over a range of 20,000 to 90,000 gammas and measures the total intensity of the earth's magnetic fie ld . One was used as a fie ld or mobile magneto meter and the other the base magnetometer. Usage was kept the same throughout the survey. Survey Procedure The general location of most magnetic stations coincide with the gravity stations. The magnetic stations were located so as to be free from magnetic effects of steel fences, pipelines, iron and steel struc tures, etc. Whenever a site free from extraneous magnetic fields was unavailable near a gravity station, another station was located. At each station three readings were taken at a separation of 5 feet with the third reading taken at a right angle offset or L pattern. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 29 This method was used to aid in the evaluation of magnetic effects of surface formations and to check for any surface disturbances. I f three readings did not check within 20 gammas, more readings were taken at 5-foot intervals until the desired consistency was obtained. In cases where the inconsistency persisted, the station was abandoned. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER V DATA REDUCTION AND PLOTTING Gravity Data Reduction Data reduction was performed us.ing a gravity reduction program to calculate the Bouguer gravity anomalies. Secondary base stations were established on Calvin Center Road at various road intersections by loops tying them with the primary base station. The gravimeter readings at each station were converted to observed gravity by fir s t correcting for instrumental d r ift from base station readings repeated every 2 hours. Then the difference between base station and fie ld station were multi plied by the meter constant (0.09706) and added to the base station observed gravity to obtain the station observed gravity. For latitude corrections, the station coordinates were taken from the topographic sheets. The margin of error in latitude was + 0.025 min. The theoretical gravity at sea-level at each station was deter mined from the International Gravity Formula of 1930 which is G = 978049 (1 + 0.0052884 SIN 2 ( is the sea-level gravity at latitude sates for the normal vertical gradient of gravity by applying a correc tion factor to the difference in elevation between the station and a reference datum, in this case the sea-level. The mass correction accounts for the gravity acceleration due to a mass of material between 30 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. sea-level and station elevation. The effect of the elevation of the station above sea-level is determined by calculating the free-air and Bouguer reductions. The free-air effect is 0.09406 milligals/foot. The Bouguer correction factor is 0.01277*Sigma m illigals/foot where Sigma is the mean density of the included rock mass. The Bouguer correction is applied in the opposite sense to fre e -a ir, that is , i t is subtracted when the station is above the datum plane and vice versa (Dobrin, 1976; Telford et , 1976). A density of 2.67 gm/cc was used in these corrections. The terrain*correction accounts for the deviation of topography from a horizontal surface. Terrain corrections were not calculated for this survey due to the gentle topography. The Bouguer gravity anomaly was calculated using the corrections given above. The equation (Dobrin, 1976) used in the calculations is: Bouguer gravity anomaly = observed gravity - theoretical sea-level gravity + free-air correction - Bouguer correction. Magnetic Data Reduction The magnetic data were corrected to take into account the daily variations of the earth's magnetic field. These variations or drift in magnetic fie ld called diurnal variations were obtained by taking repeated readings at the base station at 3-minute intervals. The base station was located at the public access site on the western bank of Paradise Lake in section 3 of Calvin Township of Cass County, Michigan. The station readings were corrected to an arbitrary base fie ld of 58,000 gammas. This was done by subtracting the total fie ld at the base Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 32 station from the base fie ld (58,000 gammas) and the result was added to the total field of the station. Data Plotting The Bouguer gravity anomalies and the total magnetic fie ld data were plotted on the California Computer Products (CALCOMP) 906 Drum Plotter, using the Fortran Computer Program MAPNUM.FOR written by Dr. William Sauck, Department of Geology, Western Michigan University. The plot shows the station location and gravity or magnetic value at that station. The data were then manually contoured and the Bouguer Anomaly Map (Plate I) and the Total Magnetic Intensity Map (Plate II) of south-central Cass County was produced. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER VI INTERPRETATION Data Analysis Gravity Data The Bouguer gravity anomalies were analyzed using the Double Fourier Series Analysis Fortran Program (James, 1966). This program computed the residual values for the gravity data by subtracting the computed values from the observed Bouguer anomalies. The computed gravity values were computed using Double Fourier series of the fir s t harmonic with wavelengths of 16, 28 and 42 miles. These values were used as they are equal or larger than the dimensions of the control area. Otherwise there is a repetition of trends outside the control area. James (1966) suggested that i f there was some periodicity on data the wavelength may be estimated and multiplied by successive integers and the program run using a variety of fundamental wavelengths choosing from them on the basis of the reduction in sum of squares due to removal of the trend. Residuals were also calculated with wavelength of 28 miles for the second harmonic. The second harmonic surface with 28 miles fundamental wave length was the best trend surface f i t (98.5%). The f ir s t harmonic surface with wavelength of 16 miles gave a trend surface f i t of about 88 % to the observed Bouguer surface. The fir s t harmonic surfaces with wavelengths of 28 and 42 miles gave fits of 95.8% and 96.7%, respectively, 33 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 34 to the observed Bouguer surface. The second harmonic gravity trend surface with 28-mile wavelength (Plate VI) has the best f i t to the Bouguer surface and hence probably best describes the regional for the area under investigation. The residual values were then plotted and contoured as mentioned earlier to give residual gravity maps with d iffe r ent wavelengths and harmonics (Plates I I I to V II). Magnetic Data The total magnetic intensity data were analyzed using the Double Fourier Series Analysis program like the gravity data using the second harmonics with fundamental wavelength of 28 miles. The residual values obtained were plotted using the CALCOMP plotter and hand contoured to produce the residual magnetic map (Plate V III). Map Interpretation A representation of geologic conditions may be provided by gravity and magnetic anomaly maps. These maps illu s tra te the difference between observed and theoretical values of a force fie ld caused by horizontal or lateral variations in physical properties of the underlying rock formations. The physical property is density in the case of the gravity maps, and magnetic susceptibility and remanent magnetism in the case of the magnetic maps. The sum of a ll departures from the horizontally homogeneous earth conditions gives the anomaly values. Hinze et a l. (.1971) suggested that short wavelengths and low amplitude anomalies in the Michigan Basin are caused by the density contrasts within the glacial d r ift and long wavelength anomalies of variable amplitude are Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. produced by regional facies changes within the sediments, deep crustal or upper mantle density contrasts, and variable thickness of crustal layers. Bedrock topography and sedimentary structures have short wave length and positive or negative amplitude gravity anomalies typically less than 1 mi H i gal. Relief of the basement surface produces gravity anomalies of varying wavelength and amplitude. Intra-basement lithologic variations produce the largest amplitude anomalies (Hinze et aj_., 1971). Magnetic anomalies produced by basement lithology are more pro nounced than in the case of gravity. Hinze ejt al_. (1971) suggested that the magnetic effect of basement topography is an order of magnitude less than the effect of basement lithology. According to these authors the major gravity and magnetic anomalies within the Michigan Basin are pro duced by variations in the intrabasement lithologies. The Bouguer gravity anomaly map for south-central Cass County (Plate I) shows mainly the gravity due to a regional source which has long wave length. This map, contoured at 1 mi 11igal intervals, does not show any local anomaly closures, probably because of the strong regional feature which dominates. The contours in this map are similar to the contours for the area on the Regional Bouguer Gravity Anomaly Map of the Southern Peninsula of Michigan (Fig. 3). The absence of closures on this map could possibly indicate the lack of involvement of the basement in the structure under investigation. However, the lower density of the Mt. Simon Sandstone may be opposing some of the basement effects. Because of the presence of a strong regional anomaly, various attempts were made to remove i t so that local residual anomalies could be studied. Residual values are the component of gravity having a local source and shorter Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 36 wavelength (Dobrin, 1976). The fir s t harmonic residual gravity map with wavelength of 16 miles (Plate I I I ) and 88 % fit shows a circular to subcircular negative anomaly surrounding a central positive. The central positive is located around section 31 of Calvin Township and has a magni tude of 2.2 m illigals. An annular gravity low surrounds this high and positive residuals occur to the north and the east. This is similar to anomalies expected over astroblemes but the regional from which the residual was obtained is a poor f i t to the data. Hence, this circular feature is an a rtifa c t of the processing, a result of trying to force- f i t a small wavelength to the regional. The eastern positive anomaly is also present on the other residual maps and coincides with a positive magnetic anomaly. Some of the higher negative or positive values along the edges may be due to edge effects. The f ir s t harmonic residual gravity anomaly maps (Plates IV & V II) with wavelengths of 28 and 42 miles appear to be similar in configuration. This is because the trend surface representing the regional are similar and the reduction of the sum of squares are very close. These residual maps and the second harmonic residual anomaly map with wavelength of 28 miles (Plate V) show four gravity highs and six gravity lows bounded by linear features. A linear negative anomaly in Ontwa Township may be due to an edge effect as this becomes a positive in the second harmonic residual gravity map using wavelength of 28 miles (Plate V). These positive and negative anomalies are generally separated by linear trending gradients. A linear feature appears to be trending N-S near the eastern edge of the central positive and negative gravity anomalies (Plates IV & V II). But this trend is NNW-SSE in the Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 37 second harmonic residual map with wavelength of 28 miles (Plate V) whose trend surface (Plate VI) probably best represents the regional gravity contours. Other linear features (discontinuities) trend NW-SE and NE-SW conforming with the general trend of anticlines and faults in the Michigan Basin (Newcombe, 1933; P irtle , 1932; and Hinze & Merritt, 1969). The Jefferson field in Jefferson Township has a NNW- SSE trend which is in close proximity to a linear trend in the residual gravity maps. This trend is pronounced in the 28-mile wavelength second harmonic residual map (Plate V). The Jefferson field appears to be truncated on the north and south by NE-SW trending linear features. In the center of the study area just north of the central positive there is a small linear feature trending E-W which appears to cause displace ment between the negative anomaly in the north and positive anomaly to the south of the feature. The high positive residual anomaly observed in the southeastern portion of the area represented by the fir s t harmonic residual gravity maps (Plates I I I , IV & V II) appears to have been shifted by about a mile to the west on the second harmonic residual map with wavelength of 28 miles (Plate V). The central positive gravity anomaly is not associated with the anomalous Hawkes-Adams deep test but is about 2 miles to the west of the well. There is a linear-trending feature over the Hawkes-Adams and Lawson deep tests which has a NNW-SSE trend, indicating a possible faulted area which might account for the uplifted sediments in the Hawkes-Adams deep test. The structural map on top of the traverse limestone in Calvin Township also suggests that the structural high Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 38 is 1 mile west of the Hawkes-Adams test. The Lawson deep test encoun tered two faults and steeply dipping beds below the faults. The total fie ld magnetic intensity map (Plate I I ) shows one high positive anomaly towards the southeastern corner of the map in sections 31 and 32 of north Porter Township. This anomaly is also observed on the regional magnetic map of the southern peninsula of Michigan (Fig. 4). This anomaly coincides with the gravity high observed in the residual gravity maps of the area (Plates I I I , IV, V & V II) , thus suggesting an intrabasement lithologic variation. No anomalous closures are observed over the area of known structural deformation. The variation in con tours is also smooth. NNW-SSE trending linear features are observed on the magnetic residual map (Plate V III) east and west of the area of interest coinciding with the trends in the same direction observed on the residual gravity map (Plate V). The linear features and anomalies are probably caused by a horst- graben type of structure in the area. The positive anomalies indicate the horsts and the negative anomalies the grabens which are bounded by faults trending NNW-SSE, NW-SE, E-W and NE-SW as indicated by the linear features on the residual gravity map (Plate V). Such horst and graben type of feature has been observed in astroblernes like the Wells Creek structure in Tennessee as described by Stearns et al_., (1968). The negative residual gravity anomaly in sections 19, 20, 29 and 30 in Calvin Township in the center of the map (Plate V) may be due to the abnormally thick Glenwood-St. Peter Sandstone which was encountered in the Gordon Smith 1-20 deep test. Two possible hypotheses to explain the cause of the u p lift and faulting are: Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 39 1. The u p lift may have been a result of either delayed isostatic adjustment or prompt rebound due to meteoric impact. Older faults may have been rejuvenated by the impact to produce the horst-graben feature and the general rectilin ear fault block pattern of the area; and 2. The area could have been a focal point of regional stress. The presence of parallel left lateral strike-slip faults causing shearing within the central block could have resulted in upthrusting as explained by Lees (1954) and Quennell (1957) for the faults and folds near the Dead Sea. Lowell (1972) experimented with Clay and produced strike-slip movement with a component of shortening across the fault zone. A zone of en-echelon fractures were formed at a small angle to displace ment but the material moving up out of the fault zone formed a welt bounded by thrusts on both sides and a series of en-echelon folds. Gravity Modeling The low density o f the Mt. Simon Sandstone overlying the Precambrian basement could be masking the uplifted denser Precambrian basement, and thus reducing the Bouguer gravity anomaly to the small values observed. Modeling was done in an attempt to determine the cause of the positive anomaly and the NNW-SSE trending linear feature on the residual gravity map (Plate V). Three-dimensional vertical cylinder and two-dimensional fault models were used to model the profile A-A' obtained from the second harmonic residual gravity values using wavelength of 28 miles (Plate V). The density values for the layers were obtained from the bulk density logs of the Hawkes-Adams and Lawson deep tests. The P'recam- brian basement was assumed to have a density of 2.7 gm/cc, the Eau Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 40 Claire a density of 2.55 gm/cc, the Mt. Simon a density of 2.45 gm/cc and the other overlying sediments were assigned a density of 2.67 gm/cc which is an average density for these sediments as per the logs. The modeling was started from the top of the Eau Claire as the significant lateral density variations were downward from this forma tion. Each formation was modeled separately and a composite anomaly was added to account for the total effect. The model gravity values were calculated by Fortran programs (Appendix A) using the formulas in Telford et al_., (1976). The vertical cylinder with diameter 2 miles model showed a negative gravity effect over the cylinder which was not the observed response. Different density contrasts were used to attempt a match but to no avail. Hence the vertical-cylinder model was discarded. The thicknesses and depths of the layers in the cylinder were taken from the well logs of the Hawkes-Adams 1-28 deep test and those of the Lawson 1-28 deep hole were used to represent the normal section (Fig. 13). The normal fault model showed a small positive anomaly with a steep negative slope which was again not the observed effect. The thrust-fault model was prepared after studying the geologic cross section of the deep holes between Hawkes-Adams 1-28, Lawson 1-28, the Gemberling 1-36 and Haldeman 1-31 in Calvin Township (Fig. 13). The depths to the top of each faulted layer were taken from the well logs. The model was prepared using fault plane dips of 30 degrees and 45 degrees towards the southwest. The models clearly showed steeply descending gravity values towards the east and'high gravity values to the west which was the observed effect. The 45 degree upthrust fault matches Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 1-31 1-31 E Haldeman ______B l . R v . Trenton G dinV-~-T Cinn. Utica Niag. "PDC.?_ - - 1-36 Gemberling 1 ------______ ~f -\ Pres. Pres. _ _ Franc. Eau Claire PDC PDC Tremp| B l . Rv|: Cinn. Cinn. “ Utica? — — Niag. ■ — — ■ 4-Mt. Simon 4-Mt. ^ C l i n t o n - * - + . I . Trent/j h 1 9 =T t ‘ v r r Hawkes- Hawkes- Lawson =*1 mile =*1 Adams 1-28 1-28 Mt. Mt. Simon Eau Eau Claite C^inn._ Tremp. Michigan. i = 1 r 0 •\> * r 1* _ - _ = 1 _____ Scale: Eon. 7 * 1m F n n PDC Utica Cinn. Cinn. | Trenton _B_lack_ Riv. _B_lack_ _ _ I _ _ _XianI __ _ N i a £ . 1-26 ' ' * Kaminski 2600' 2200 2400' 2000 1600' 1200 10001 800 ' 800 600 1 W 1 600 ■ ■ - 1800' - - 1400’ - ' w 2800' w r O CD Figure 13. Figure Borehole 13. Section across the structure in Calvin twp., Cass Co., cd CD S CD a c/> CD CD +-> iH •p n -C ■H m Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. more closely the residual gravity profile (Fig. 14). Hence the NNW-SSE trending linear feature may well be a thrust fault involving the base ment in the u p lift. The other linear features may also represent faults, either thrust or normal, causing a horst-graben type of structure in the area. There are apparently strike-slip cross faults truncating the horst-graben feature and thus lim iting them in their strike extent. The result is an assemblage of fau lt blocks which are roughly equi- dimensional prisms. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. J j C 2.45 2.45 g/cc 2.55 g/cc 2.55 2.67 2.67 g/cc densities Model + A ’ * * Model Profile ^ ^ Residual Profile ______------4 * Precambrian Mt. Mt. Simon Hawkes-Adams 1 GlcfTTH Precambrian Eau Eau Mt. Mt. Simon MSL 5280* -0.4 •H •H Figure 14. Figure 14. Residual Gravity Profile A-A1 and Gravity 2-D Upthrust Model Profile. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER VII CONCLUSIONS Due to the lack of core samples from the deeper parts of the section, there is a lack of direct geologic evidence such as shatter cones, brecciation, presence of coesite, e tc ., to support an impact origin for this feature. The interpretation of the genesis of the u p lift and the absence of Ordovician sediments is inconclusive from the gravity and magnetic surveys. Thrust faulting in the central u p lift and erosion of the sediments has been observed in most proven astro-' blernes or impact craters. The presence of shock metamorphism and brecciation have also been observed in a ll astroblemes. Astroblemes that have been investigated by gravity and magnetic methods have shown circular negative gravity anomalies with a central positive gravity anomaly i f a central u p lift is present. Magnetic anomalies are rarely associated with known astroblemes. Most astroblemes that have a c ir cular negative gravity anomaly are near-surface features or have not been deeply eroded. Structures like the Flynn Creek Crater in Tennessee do not have any gravity anomaly closures associated with the structure even at the level of 1 mi H i gal on the Bouguer gravity map like the structure studied in this project. As there was no significant circular Bouguer gravity anomaly associated with the Cass County structure, residual values were calculated. The circular-subcircular anomaly with a central positive anomaly observed on the fir s t harmonic residual gravity 44 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 45 map with wavelength of 16 miles may not represent the actual geology as the trend surface produced by this wavelength does not represent the regional. A NNW-SSE trending linear feature with a positive closure to its w es t was observed on the f ir s t harmonic residual gravity maps with wavelengths of 28 and 42 miles. I t can also be seen on the second har monic residual map with wavelength of 28 miles. The other linear features which bound the positive gravity anomaly trend E-W, NW-SE and NE-SW may also be faults. The NNW-SSE trending Jefferson fie ld appears to be trun cated by NE-SW trending strike-slip faults. A residual gravity positive is located in the southeast section of the area and which is coincident with a magnetic high which could be interpreted as being effects of variations in basement lithology. Two- and three-dimensional modeling was performed to try to match the residual profile across the NNW-SSE trending linear feature over the circular production area observed on the second harmonic residual map with wavelength of 28 miles. The thrust-fault, normal-fault and the vertical-cylinder models were used and the best f i t obtained was from the thrust-fault model which shows the steep slope northeast of a high positive similar to that of the gravity profile. The vertical-cylinder and normal-fault models did not match the residual profile. Hence the u p lift could be due to a thrust fau lt involving the Precambrian basement. The fau lt could have been active until the Late Ordovician and the up lifte d sediments could have been eventually eroded away. The Hawkes- Adams and Lawson deep tests in section 28 of Calvin Township could be on the flanks of the uplifted portion and the center of the uplifted portion is 1 mile to the west. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. The genesis of the u p lift s t ill remains a question, as there is no magnetic anomaly associated with the uplift. A central gravity posi tive, representing the central uplift, and linear trending features, representing faults, are present on the second harmonic residual gravity map with fundamental wavelength of 28 miles, probably forming horst- graben type of structures similar to structures in proven astroblemes. Another possible hypothesis to explain the u p lift and faulting is that parallel left-lateral strike-slip faults could cause shears within a central block to produce upthrusts. With the lack of conclusive geologic evidence in support of the impact theory, the structure should be called a crypto-explosion structure until more evidence is available. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. APPENDIX A GRAVITY MODELING PROGRAM PROGRAM GRMOD3 c ------C THIS PROGRAM (ON FILE GRMOD8. FORC2003C/20 030 3 ) CALLS A VARIETY OF C SUBROUTINES WRITTEN BY STUDENTS OF GL562 CLASS/ (WMU/ FALL/ C 1 9 8 3). THESE SUBROUTINES CALCULATE A GRAVITY PROFILE OVER VARIGUS C 2-0 AND 3 - D BODIES. THE PARAMETERS AND GRAVITY ARRAY ARE PASSED BAC- C TO THE MAIN PROGRAM/ WHERE THEY ARE DISPLAYED ON THE LINE PRINTER. C ALL LINEAR DIMENSIONS ARE IN FEET. DIP ANGLES ARE MEASURED CCW C ABOUT THE CENTER POINT ( 2 6 ) . C MAIN PROGRAM WRITTEN BY W.A. SAUCK FOR DEC1099/ OCT./ 1983. c ------REAL GRAV(51)/ TITLE(16)/LENG/XI( 20)/21 (20) COMMON F IG ( 5 1 /2 5 ) DATA DASH/VERT/ DOT/PL US/ BLANK/ AST/RATI 0 / '- '/ '! '/ '. '/ '+ '/ ' '/ + '*'/1 .666666667/ OPEN(UNIT = 6/ DEVICE='OSK'/ FILE='GRVMO0.0 AT', PROTECTION="155) 10 WRITE(5/1000) 1000 FORMAT(2X/'ENTER: 1 FOR SPHERE/'/1 5 X/' 5 FOR DIPPING SHEET/' + ///1QX/'2 FOR DIPPING ROD/'/10X/'6 FOR HORIZ. THIN SHEET/' + ///1QX/'3 FOR HORIZ. R0D/'/1lX/'7 FOR THICK PRISM/'/// + 10X/ '4 FOR THICK VERT. CYL./'5X/'8 FOR DIPPING FAULT.' + / / / 1 0 X / ' 9 TO TOGGLE TABULAR OUTPUT ON/OFF' / 5 X/ ' - 9 TO STOP') RSAD(5/11Q0/ERR=10) ITYPE 1100 FORMAT(I) IF(ITYPc.LE.C) GO TO 999 IF (IT Y P E .G T . 9) GO TO 10 IF(ITYPE.LT.9) GO TO 15 IF(ITAB) 12/12/13 12 IT A B= 1 GO TO 10 13 IT A8 = 0 GO TO 10 15 WRITEC5/1200) 1200 F0RMAT(2X/'ENTER UP TO 80 CHARACTERS OF TITLE') READ(5/13Q0) TITLE 1300 F0RMAT(16A5) c gNO OF MAIN PROGRAM INPUT. ERASE SUBSURFACE CROSS-SECTION. 30 DO 25 1=1/51 DO 25 J = 1 /25 25 FIG(I/J)=BLANK WRITE(6/1310) TITLE 1310 FORMAT('1'/2CX/16A5) GO TO(100/200/300/40C/500/600/700/800)/ITYPE 100 CALL SPHERE(DEPTH/RADIUS/DENS/DX/GRAV) 47 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 48 XINCH=DX*6. WRITE(6/1400) DEPTH/RAOIUS/DENS/XINCH 1 4 0 0 F0RM ATC5X/'DEPTH TO CENTER OF S P H E R E *'/ F 7 . 1 / ' / RAD IUS= ' / F 7 . 1 / + '/ DENSITY CONTRAST*'/F5.2/'/ SCALE:1"*'/F7.1/' FT.') C— NOTE USE OF TRUNCATION FOR CONVERSION TO INTEGER/' NEXT 3 LINES/ ETC. 110 IDEP=0.5 + DEPTH*RATIO/DX IRA0X=0.5 + RADIUS/DX IRADZ=0»5 + RATIO*RADIUS/DX IFCIDEP.GT.24) GO TO 120 I= 2 5 - ID E P FIGC26/I)=PLUS IFCRAOIUS.LT.DX) GO TO 900 J= 26-IR A D X FIG(J /I)=0ASH J =26+IR A 0X FIGCJ/I)=DASH I= I+ IR A D Z FIG(26/I)=VERT I=I~IRADZ*2 IFCI.LT.1) GO TO 900 FIG C 2 6 / I ) = VERT GO TO 900 120 FIGC26/1)=AST GO TO 900 200 CALL DIPRODCDEPTH/RADIUS/LENGTH/DIP/DENS/DX/GRAV) XINCH=0X*6. WRITEC6/1500)DEPTH/RADIUS/LENGTH/DIP/DENS/XINCH 1500 FORMATC5X/'DEPTH TO TOP OF ROD = ' / F7.1/'/ RADIUS='/F7.1/ + '/ LENGTH-*'/F7.1/'/ DI P= ' / F 6 .1 / ' / DENSITY CONTRAST*' + F5.2/'/ SCALE:1"='/F7.1/' FT.') 1X0=26 210 I0EP=0.5 + DEPTH*RATIO/DX IFCIDEP.GT.24) GO TO 240 DBOT=OEPTH+LENG*SINCCIP*0.01745329) IB0T=Q.5 + DBOT*RATIO/DX DO 220 I=IDEP/25 IS U B = I CALL DIAGCDIP/ IX/ FX/ ISUB) REM=FX~IX IFCREM.LE.0.25) GO TO 216 IFCREM.GE.0.75) GO TO 215 GO TO 220 215 IX=IX+1 216 II=IXO-IX IFCII.LT.1 .OR. II .GT. 51) GO TO 225 F IG C H /25-I) = AST 220 CONTINUE 225 GO TO 900 C------BODY BELOW 30TTCM OF FIGURE ------240 CALL DIAGC D IP / I X / FX/ IDEP) II=IX0-CFX+0.5) FIGCII/1)=AST GO TO 900 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 49 GO TC 900 300 CALL HORRODCDSPTH/RADIUS/LENG/Y/OENS/DX/GRAV) XINCH=DX*6. LENG=LENG*2. WRITEC6,1600)DEPTH,RADIUS,LENG/Y/CENS/XINCH 1 600 FORMATC5X,'DEPTH TO CENTER = ' , F 7. 1 , ' , RA 01US= ' / F7 .1 / + ' , L E N G T H = ',F 7 .1 ,'/ Y OF F S ET= ' / F7 . 1 , / , 5 X , + 'DENSITY CONTRAST=',F5.2,', SCALE:1"=',F7 .1, ' FT.') GO TO 110 c ------400 CALL VERCYL(DEPTH,RACIUS,LENG,OENS,OX,GRAV) DB=DEPTH+LENG XINCH=DX*6. WRITEC6,1700)DEPTH/RAOIUS,OB,CENS/XINCH 1700 FORMAT(5X/'OEPTH TO TOP= ' ,F7 .1/'/ RADIUS=',F7.1, + ', DEPTH TC BOTTOM*',F7.1///5X,'DENSITY CONTRAST= ',F5.2, + ', SCALE:1"=',F7.1,' FT.') I0EP=0.5 + DEPTH*RATIC/OX IRADX=0.5 +RAOIUS/OX 13OT = C . 5 + D3*RATI0/DX I= 2 5 -ID E P J=26-IRADX K =25-IB 0T L=26+IRADX IF ( IDE P.GT.24) GO TO 420 IF(K.LT.0)K=1 DO 410 M=K/I FIGCJ/M)=OASH 410 FIG(L/M)=OASH IFCK.EQ.1) GO TO 420 00 415 M = J,L FIG(M/I)=VERT 415 FIG(M,K)=VERT GO TO 900 420 00 422 M = J/ L 422 FIGCM/1)=AST GO TO 900 500 CALL CSHEETCCEPTH/THICIC/LENG/OIP/CENS/OX/GRAV) XINCH=DX*6. WRITE (6 /1 8 0 0 ) DEPTH,THICK,LENG/OIP,DENS,XINCH 1 800 FORMAT<5X,'DEPTH TO TCP= ' / F7.1 /'/ THICKNESS='/ + F 7 .1 / ' / LENGTH=' ,F7.1, '/ DIP= ' /F6.1 / ' / DENSITY CONTRASTS, + F 5 . 2/'/ SCALE:1" = '/ F7.1/' FT.') IDEP=0.5 + DEPTH*RATIO/DX CALL CIAGCOIP/IX/FX/ICEP) 1X0=26 + X GO TO 210 600 CALL HSHEETCDEPTH/THICK/LENG/CENS/DX/GRAV) XINCH = DX *6 . WRITE (6/1900) DEPTH,THICK/LENG/DENS/XINCH 1900 FORMAT(5X,'0EPTH TO CENTER= '/F7.1,', THICKNESS= ',F7.1, + '/ LENGTH='/F7.1,', DENSITY CONTRAST='/F5.2/ Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced c C o o o - C - C 02 OMT2,YU OTU I O FL GVO.OAT') GRVMOD. FILE ON IS OUTPUT FORMAT(2X,'YCUR 3002 05 OMT11 ,'I',6,'GA',//,51(10X/I3/F10.3,/)) ) / , 3 . 0 1 F / 3 I / X 0 1 ( 1 5 , / / , GRAV' ' 6X, , ' X, ' I 2 1 , / / FORMAT(1H1, 3 00 5 08 OMT2,ETR 1 O EUN O EU CX, 1 / / / ' MENU/ TO RETURN TO 1 FORMAT(2X,'ENTER: 3008 ------04 OMT 2F) FORMAT( 3004 ------03 OMT2,ETR PINL IIU AD AIU SAE AUS / ' VALUES SCALE MAXIMUM AND MINIMUM OPTIONAL FORMAT<2X,'ENTER 3003 01 OMT2/TE ETA 1 GA VLE AE HW BELOW',// W O L E B SHOWN ARE VALUES GRAV 14 CENTRAL FORMAT(2X/'THE 3001 10 OMT5,DPH O IH S0S=',F7.1,', DPH O ' TO DEPTH , ' , 1 . 7 S F S10 = , ' RIGHT TO FORMAT(5X,'DEPTH 2100 9 WRI 5, 2) 02 0 ,3 (5 E IT R W 999 2 WRI 53003) 0 0 (5/3 E IT R W 920 1 WRITEC5/3003) W 910 0 WRT(/01)( I, 1 ) = /32 9 1 (I), V A R G ) ( RITE(5/3001 W 900 0 CL FAULT(DEPTH1/DEPTH3/THICK/DIP/DENS/DX/GRAV) CALL 800 CONTINUE 725 ' O END') TO '3 + ' T CLUAE NTE POIE F AE T SAMEY OF P E, ' PROFILE , ANOTHER / , 1 CALCULATE 0 TOX, '2 + 'O PLOT. , ' ASS RP T FL ETR SCALE ENTIRE FILL TO GRAPH CAUSES T.') . O S L P E O YOUR R E WITH ,'Z X /,4 'RANGE / .' T O L + P 'FOR + 14F6.2,//, ENTER: 0 O OTNE 1 O TR OVER') START TO 1 CONTINUE, TO 0 : R E T N 'E , X ,2 / / , 2 . 6 F 4 1 + F7.1/'/ DNIY OTAT='/F5 CL: 1" = / ' 5CALE: / ' / 2 5. F / CONTRAST ' = DENSITY ') . T F ' / F7 1 . / ' / 1 . 7 + F + /LEFT $I0E=',F7.1/'/ TIKES'/F7.1///5X ='/ ' P= 1 0 ' X, 5 / / / 1 . 7 F / THICKNESS=' / ' / 1 . 7 F , ' = E 0 I $ T F E /'L + -- IDEP=DEPTH*RATIO/DX SD O RPTTV CLS O IG RM FUT FGR DRAWING ) 5 ,2 FIGURE 1 COMMON(5 FIG "FAULT" FROM DIAG TO CALLS REPETITIVE FOR USED URUIE TI(ET,ETATDPR I OXIW) X,ISW /O TIO ETDIA(DEPTH,VERT,AST,DIP,RA G SUBROUTINE S “1 RW HRZ IE RM AL T LF EG O FIGURE. OF EDGE LEFT TO EDGE. FAULT FROM RIGHT TO LINE FAULT HORIZ FROM DRAWS LINE 1 HORIZ DRAWS “ ISW +1 ISW ------END STOP NGC , ) 9 9 9 , 5 1 , 0 1 ( 0 T GO AD(/10 NGO (5/1100) D EA R TE( 3005) RV(I),I=1,1) ,51 1 = I , ) GRAV I , ( I ( ) 5 0 0 ,3 (6 E IT R W AL RP(RV51/GMIN/GMAX) 1 GRAPH(GRAV,5 CALL AL T A( , , , P, O, /-1) X ,D IO T A ,R IP T,D S T,A R E 4,V H T P E (C IA ETD G CALL F(TAB. O) O O 920 TO GO ) .O Q .E B A (IT IF O O 30 TOGO AD(/04ERR=0) GMIN/GMAX =900) R R (5/3004,E D EA R AL TIC PT / RTAS/ P/ I/ /+1) X TI0/D A /R IP ST/D T/A ER 2/V TH EP ETDIACC G CALL F(NO T1) O O 910 TO GO ) LT.1 NGO. ( IF AL A( VERT, DI RATI 0X,1) ,-1 X ,0 I0 T A ,R 900 IP ,D TO T GO S ,A T R E /V 3 H T P E (D IA D / T + E X G /D 1) I0 T CALL A /R P A(DEPTH1/VERT/AST/Cl GET01 CALL E D(5/1100/ER90 NGO ERR=900) / 0 0 1 1 READ / 5 ( 0EPTH4=0EPTH3+THICK DEPTH2=0EPTrt1+THICK RT< DEPTH1/DEPTH3/THICK,DIP/DENS,XINCH ) 0 0 1 2 , WRITE<6 XINCH=DX*6 . XINCH=DX*6 O O 900 TOGO ED EUT T B POTD N IE PRINTER. LINE ON PLOTTED BE TO RESULTS SEND RVE CLUAE POIE GV CAC T RESTART. TO CHANCE GIVE PROFILE) CALCULATED PREVIEW G( 1= T S ,1)=A (M IG F RN OTOA OTU TABLE. OUTPUT OPTIONAL PRINT ------ ------— - - — - ------ “ - - — 50 51 + SCALE:1,,= '/F7.1/' FT.') IDEP=0.5 + OEPTH*RATIO/OX IHTHIK=0.5 + THICK*RATIO/(2.*0X) ILEN=0.5 + LENG/DX IFdLEN.GT.25) ILEN=25 IX=26 + ILEN IFdDEP.GT.24) GO TO 620 IT=25-IDEP+IHTHIK IB=25-IDEP-IHTHIK DO 610 M = 2 6 ✓ IX FIG(M/IT)=VERT 610 FIG(M/IE)=VERT DO 615 M = I3 /IT IFdLEN.LT.25) FIG(IX,M)=DASH 615 FIG(26/M)=DASH GO TO 900 620 DO 630 M=26dX 630 FIG(M/1)=AST GO TO 900 700 CALL PRISM (DEPTH/-DEPTH2,WIDTH,DIP/DENS/DX/GRAV) XINCH=DX*6. WRITEC6,2000)0EPTH,DEPTH2,WIDTH,DIP,DSNS,XINCH 2000 FORMAT(5X, 'DEPTH TO TOP =' , F8.1 ,', DEPTH TO 30TT0M=', + F8.1/'/ WICTH=',F3.1,', DIP=',F6.1,/,5X,'DENSITY CONTRAST + , F 5 . 2/ ' , SCALE: 1 " = ' , F 8 . 1 , ' F T . ' ) IDEP=DEPTH*RATIO/DX I= 2 5 -ID E P IOEP2=DcPTH2*RATIO/DX IWIDE=WIDTH/OX IFCIDEP.GT.24) GO TO 720 CALL OIAG(DIP,IX,FX,IDSP) IX L = 26~ IX IF(IXL.LT.I) GO TO 711 IXR=IXL+IWIDE DO 710 M=IXL,IXR IFCM.LT.1 .OR. M .GT. 51) GO TO 710 FIG(M,I)=VERT 710 CONTINUE 711 IF ( I0 E P 2 .G T .2 4 ) GO TC 720 CALL DIAG(DIP,IX,FX,IDEP2) I= 2 5 -ID E ? 2 IX L = 2 6 -IX IXR=IXL+IWIOE DO 715 M = IX L,IXR IF (M.LT.1 .OR. M.GT.51) GO TO 715 FIGCM,I)=V5RT 715 CONTINUE GO TO 900 720 CALL OIAG(DIP,IX,FX,25.) IX L = 2 6 -IX IXR=IXL+IWIDE C------— 30TTCM EDGE CF DRAWING OR CROSS-SECTION ------DO 725 M = IX L ,IX R IF (M .LT. 1 .OR. M.GT.5DG0 TC 725 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced Z- TE ET T TE ETR F H SPHERE SPHERE THE THE OF OF CENTER RADIUS THE TO DEPTH THE A - Z - C C AIBE ITOAY * * * * DICTIONARY VARIABLE * * * O \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / c oooooooooo C ------0 DX=0. 50 5 DX=-25. 45 0 DX = . 5 2 40 0 AL AGCDI I FX/ ) 5 /2 X /F /IX IP D C G IA D CALL 40 30 FIG(Mr I)=VERT FIG(Mr 30 0 IC /I)=VERT FIGCM 10 0 O 0 = IX / M=1 30 DO 20 HS URUIE ACLTS H GAIY FET OF EFFECT GRAVITY THE CALCULATES SUBROUTINE THIS F 1 LOCATIONS 51 OF EST CNRS. H SBOTN ASMS TOTAL A ASSUMES SUBROUTINE THE ANO THE SPACING/ STATION CONTRAST. SPHERE/ DENSITY THE OF RADIUS OF SURFACE THE BENEATH BURIED BODY SPHERICAL A OF . 3 '8 FALL/ 562/ GEOL. NU DPH O H CNE O TE PEE THE MUST SPHERE/ USER THE THE OF AND CENTER ORIENTED THE USER TO DEPTH IS INPUT IT EARTH. THE RAPP DAVE AND WALTER JOEL AUTHORS: URUIE P RC//0/S G) S/ / 0 SPH ERECZ/A/ SUBROUTINE END RETURN IX IX = 0 RETURN IX IX = -2 5 RETURN IX IX = 2 5 RETURN 6* I / P*0. ) 2 3 5 4 7 1 .0 0 * IP D ( N A )/T P 45 E (ID TO T IX GO A =0 0 X L *F C) .6 . 0 = 2 X . D T L . P I D C F I FCDI GT. 0) O C 40 TC GO ) .0 8 7 .1 T .G IP D C IF URUIE AGCDI I DX/DEP) P E /ID X /D /IX IP D C G IA D SU3R0UTINE FCDI GT. DI LT. 0) O O 50 TO GO ) .0 5 .9 T .L IP .D D N A . 0 . 5 .8 T .G IP D C IF END RETURN ) /1 = IX A C IG SF T X=26-IX 6 2 = IX RETURN AL AGCDI I FX/DEP) P E /ID X /F /IX IP D C G IA D CALL RETURN F(SW. O) O O 2C TO GO ) .O T .L W (IS IF X=26-IX 6 2 = IX AO TO GO ) .2A T .G P E ID IFC =25-DEP E -ID 5 2 I= EUN I AD X IE A I AD ET (O DAIG FIGURE). DRAWING (FOR DEPTH AND DIP A GIVEN DX AND IX RETURNS 0 0 I /51 =IX M 10 00 QAIN 0A TLOD — TELFORD 2 . A/ A0 EQUATION — 52 53 c s - THE STATION SPACING c D - THE DENSITY CONTRAST c G - ARRAY CONTAINING THE CALCULATED STATION GRAVITY c DA 2 - DENSITY CONTRAST * RAD. OF SPHERE * * 3 / A CONSTANT c Z2 - OEPTH TO THE CENTER CF THE SPHERE SQUARED c X THE DISTANCE FROM THE POINT IMMEDIATELY ABOVE THE CEN c I / J ~ ARRAY INDICES C * * * * DECLARATIONS * * * * REAL Z/ A /X/O /G (51) /D A 3 /Z2/S INTEGER I/J c INPUT PARAMETERS 5 WRITEC5/100) 100 FORMAT( / / ' '/'W HAT IS OEPTH TO CENTER OF SPHERE------> ' / $ ) READ(5/101/ERR=5)Z 101 FORMAT CF) IF (Z.LT .1 .) GO TO 5 6 WRITE(5/110) 110 FORMAT?//' '/'W H A T IS THE RACIUS CF THE SPHERE------> ' / $ ) READ(5/101/ERR=6)A IF?A.LT.1.) GO TO 6 IF(Z.GE.A) GO TO 7 WRITEC5/115) 115 F0RMATC2X/'ERROR! RADIUS GREATER THAN DEPTH') GO TO 5 7 WRITEC5/120) 120 FORMAT?//' '/'WHAT IS THE STATION SPACING------> ' / 3 ) READ?5/101/ERR=7)S IF?S.LT.0.001) S=A/5. S WRITE?5/130) 130 FORMAT?//' '/'W HAT IS THE DENSITY CONTRAST------> ' / $ ) READ?5/101/ERR=S)0 C CALCULATION CF CONSTANTS DA 3=0* ? A ** 3 . ) Z2 = Z ** 2. J=26 X = 0. 0 C LOAD ARRAY G DO 1C I = 26/51 G ? I ) = 8.53E-3*?DA3/(Z2*??1.0+? Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 54 END C /\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/'w ' SUBROUTINE DIPROD Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 55 C XNUM1 TEMPORARY VARIABLE FOR EQUATION C XNUM2 C XDEN1 C XDEN2 C TERM1 " " " " C TERM2 C XTERM VALUE OF EQUATION AT 'X ' C CONST CONSTANT MULTIPLIER C C INTEGER I LOOP INDEX COUNTER C J STATION NUMBER COUNTER C C REAL G(51)/ALPHA/ALRAO/AREA/R/Z/SIGMA/L/X/DELX REAL XNUM1/XNUM2/XDEN1/XDEN2/TERM1/TERM2/XTERM/CONST INTEGER I / J C c ------C C READ IN DATA FROM OPERATOR C WRITE(5/50 0) 500 FORMAT(' '/////10X/'TYPE IN VALUES FOR THE FOLLOWING:'////) C 1 WRITEC5/510) 510 FORMAT(' '/'E N T E R :RCD DIPANGLE (ALPHA) IN DEGREES: ' / $ ) READ(5/700/ERR=1) ALPHA C CHECK FOR ANGLE BETWEEN 0 -1 3 0 DEG. IF ( ( ALPHA.LE.0 .0 ).OR.(ALPHA.GE.130))G0T01 C C 2 WRITE(5/520) 520 FORMAT(' '/'E N T E R :R 0 C RADIUS (R) INFEET: '/S ) READ(5/700/ERR=2)R C CHECK FOR NEGETIVE RADIUS IF ( R .L E .Q .O ) G0T02 C C 3 WRITE(5/530) 530 FORMAT(' ' / ' ENTER:DEPTH TO TCP OF ROD (Z) IN FEET: '/$) READ(5/700/5RR=3)Z C 4 WRITE(5/540) 540 FORMAT( ' ' / ' ENTER: DENSITY CONTRAST (SIGMA): '/ $ ) READ(5/700/ERR=4)SIGMA C 5 1 WRITE (5 /5 5 0 ) 550 FORMAT( ' '/'E N T E R ROD LENGTH (L) IN FEET: */S ) READ(5/700/ERR=5)L C CHECK FOR NEGATIVE ROD LENGTH IF(L.LE.O.O)GOT05 C C 6 WRITE(5/560) 560 FORMAT( ' ' / ' ENTER: STAT ION SPACING (DELX) IN FEET: '/ $ ) Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced C 100 c C c c c c C c c ooo non ooo o o o -ooo C 700 40 30 ★ it it it + CONTINUE G(I)=CONST*XTERM XTERM=TERM1-TERM2 CONTINUE TERM2=XNUM2/XDEN2 CONTINUE HC FR LH=0 VRIA ROD) (VERTICAL ALPHA=90 FORCHECK J = 6 -2 FAPAN.0) O3C TO O IF(ALPHA.NE.90.)G O 0 1=1/51 100 DO FCX. O. X=0.0001*CSLX .) .O Q .E X C IF EI : ACLTO C GAIY AA * * * DATA GRAVITY CF CALCULATION : BEGIN ROD CF AREA CR0SSECTI0NAL AREA/ COMPUTE 311964R**2 =3.141592654*R A E R A OPT ARD RDA VLE F NL ALPHA ANGLE CF VALUE RADIAN ALRAD, COMPUTE ALRAD=ALPHA*C.017453293 FORMAT(F) READ(5/700/ERR=6)DELX 5 . 0 * * ) 0 . 2 * * X + SI ALRAD)) 0+X**2. C*X* X * .C 2 + .0 2 * * X + .0 2 * )* ) D A R L (A IN /S Z + L ( ( = 2 N E 0 X NM=+* 0/TAN(ALRAD))+L*C0S(ALRAD) . 1 XNUM2=X+Z*( TERM1=XNUM1/XDEN1 Z*2. ( N( )* 0+2* Z/ ALRAO) O A R L (A N A /T *Z *X 2 + .0 ))**2 D A R L (A IN /(S .0 **2 (Z = 1 N E D X CONST=0.00203*SIGMA*AREA/X*SIN(ALRAO) L* ALRAD) TAN( )*G.5 )))**G D A R L (A N A /T Z )+ D A R L (A S 0 *C (L TAN(ALRAD)) / XNUM1=X+ 0 (1Z* . J=J J=J + 1 =LATJ* ELX T(J)*D X=FL0A G0T040 ELSE: HC FR EAIE TTO SPACING STATION NEGATIVE FORCHECK F L 0C) 0T06 )G .0.C .LE X L E D IFC EM X**2.0)**0.5 . 0 * * ) 0 . 2 * * X + 0 . 2 * * ) L + Z ( ( 5 / . 0 0 . * 1 = * TERM2 ) 0 . 2 Z ( * / * 0 . X * TERM 1 * = 2 +1 . 0 CONST=0.00203*SIGMA*AREA SEIL AE VRIA ROD) VERTICAL CASE: (SPECIAL 56 57 RETURN END c/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/w SUBROUTINE HCRROO ( Z / R/ L / Y / RHC/ DX/ G) C THE GRAVITY effEC T OF A BURIED HORIZONTAL ROC C FROM EQUATION 2 .4 2A / TELFORD ------C C WRITTEN BY J. PORTER AND MARK CALDWELL / OCT./ 1 983/ WMU C THIS SUBROUTINE WILL CALCULATE THE VERTICAL COMPONENT OF C GRAVITY OVER A BURIED HORIZONTAL ROD. THE ROD IS C ASSUMED TO BE PARALLEL TO THE Y-AXIS AND CENTEREO C UNDER THE X-AXIS AT A DEPTH Z. THE USER MAY SPECIFY C LENGTH/ RADIUS/ DENSITY CONTRAST ANO DEPTH OF BURIAL C OF THE ROD. BY INPUTTING SPECIFIED VALUES FOR X AND Y C IN FEET/ THE USER MAY GENERATE THE PREDICTED GRAVITY C EFFECT AT ANY POINT CN THE SURFACE. DISTANCES ARE IN C FEET AND G IS IN MGALS. C C *********vARIA 3LE DICTIONARY******************* C C K1=G*PI=CONSTANT=6.387 EXP -3 C R=RAOIUS OF ROD C RHO = DE NSIT Y CONTRAST C Z=DEPTH TO CENTER OF BURIED ROD C Y = HORIZONTAL DISTANCE (PARALLEL) FROM CENTER OF ROD C L = L ENGTH OF ROD C DX=STATION SPACING C C G=OUTPUT=VERTICAL COMPONENT OF GRAVITY ( MGAL) C c c *****************VARIA3LE DECLARATION************* C REAL R/RH0/Z/DX/Y/L/G(51)/K1/K2/K3/X INTEGER I/M EPS = 1 .0 E -4 C C ENTER THE PARAMETERS C 20 WRITE(5/200) 200 FORMAT(' '/ 'T Y P E A VALUE FOR Y / (Y=C 3 LEFT END OF ROD) > READ(5/900/5RR=20)Y 30 W R IT E (5/800) 800 FORMAT(' '/'T Y P E A VALUE FOR THE RADIUS OF THE ROO ------> */S ) REA0(5/900/ERR=30)R IF(R.LE.0.00001) GO TC 30 50 WRITEC5/300) 300 FORMATC '/'TYPE A VALUE FOR Z > '/S) READ(5/900/ERR=50)Z IF ( Z .L T .O ) GO TO 50 IF(Z.LT.R) GO TO 50 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced L LNT O CYLINDER OF LENGTH L: C SGA DNIY CONTRAST CYLINOER DENSITY BOTTOM' OF TO SIGMA: DEPTH ): 2 ( Z C C Z(): ET T CNE TP F CYLINOER OF TOP CENTER TO DEPTH Z: (1) C R HRZNA RDU O CYLINDER OF RADIUS HORIZONTAL R: DICTIONARY VARIABLE C C TE RVT EFC O A HC VRIA CLNE I THE IN . ZC2) CYLINDER AND AXIS. VERTICAL (1) COORDINATE Z THICK X A DEPTHS AN OF ALONG AT SU3STRATUM EFFECT 3 GRAVITY THE GIVES 13/198 SUBROUTINE OCT. C OUE THIS C4/ C FALL/33 ASSIGNMENT LAB C 562 GEOLOGY C C C SBRCIG H EFCS F I NI ET CYLINDERS VERT. E IT IN F IN 2 OF EFFECTS THE SUBTRACTING WIGGER STEVE ANO C KONNIE JAMES C C C ' / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / c ooo ooo 0 FORMAT ) F ( 900 0 F MT' /TYPE AVLE O TE AFLNT O TE '/: / ' > O O R THE OF HALF-LENGTH THE FOR A VALUE E P Y '/'T RMAT(' F0 600 0 FRA( '' VLE O TE EST CNRS ------> CONTRAST ) /S * DENSITY THE FOR VALUE A E P Y '/'T FORMAT(' 400 0 FRA( '' VLE O DX FOR VALUE A E P Y '/'T FORMAT(' 100 0 CONTINUE 10 0 WRITEC5/600) 80 O GNRT TE UPT N LOOP A IN OUTPUT THE GENERATENOW NII Z ONS N IO T IZA L ITIA IN 0 WRITEC5/400) 70 0 RTE 100) 0 0 /1 WRIT 5 E( 60 ( ( *0. > > .5 )**0 1 R + 2 L M /(Y L M (Y + URUIE ECL R/ SI DX/GRAV) / X /D A M IG /S /L /R Z VERCYL( SU3ROUTINE RETURN M-1 = M END “ ) 5 . 0 * * ) 1 R + 2 L P DX Y ( / + L P X Y ( ( = * ) 1 X R / ) ) 0 GCI) . 2 * G = * R CM) ( * 1 K ( C = ) G I ( O 0 1=26/51 10 DO 1 CX**2. 0) .0 2 * * Z + .0 2 * * X C = R1 M2 Y **2•0 L YM = YML2 P2 YPL*2.0 **2 L P Y = YPL2 P= + L + Y YPL= 0 = X M= - L - Y YML= 26 = M 1 . 387 RO Z * RHO * 7 8 63 0 .0 = K1 F .E. G O 8C GO ) TO S P .E L.LE IFC READ(5/900/ERR=3Q)L READ(5/900/ERR=70)RHC READ(5/900/ERR=6Q)DX F XL.P) X C(2.*Z)/25.) . 5 2 / ) Z * . 2 ( C = DX DX.LT.EPS) IFC ------SS QAIN 24A N 2. TLOD TWICE TELFORD/ / 8 5 .4 2 AND 2.45A EQUATIONS USES ------'/$) $ / ' > 58 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced c c CLUAE RA GRAV(X) ARRAY CALCULATE C ------r> o o o 0 TEMP(I/J)=A*((0.5*C(J))-(0.125*C(J)**3*P(2))+(C.0625*C(J)**5*P(4)) ) 4 ( P * 5 * * ) J ( C * 5 2 6 0 . C X ( + ) = ) X 2 ( P + * 3 D * * ) X J ( C * 5 2 1 . 0 ( - ) ) J ( C * 5 . 0 ( ( * 500 A = ) J / I ( P M E T 400 0 TM(1/ 1 TEMP( 300 ------6 FRAT(' '' DLA ') X DELTA : R E T N '/'E FORMA ' ( T 160 5 FRAC /ENTER: LENGTH') : R E T N '/'E FORMATC 150 3 FRA(' '' DPH O C O CYLINDER') OF TCP TO DEPTH : R E T N '/'E ' FORMAT( 130 4 FRMT(' /ENTER: EST CONTRAST') DENSITY : FOR R E T MAT N '/'E ( ' 140 2 FORMAT(F) 120 1 FRAC /ENTER: RADIUS') : R E T N '/'E FORMATC 110 0 CONTINUE 20 0 CONTINUE 10 5 RT(5/160) 1 / 5 WRITE( 15 4 TE(5/150) E IT R W 14 ITE(5/140) R W 13 2 RT( 130) 0 3 /1 WRITE(5 12 1 WRITEC5/110) 11 -(0.0390625*C(J)**7*P(6))) ) ) 6 ( P * 7 * * ) J ( C * 5 2 6 0 9 3 0 . 0 ( - + (0.125*3(J)**4*P(4))+(0.0625*E(J)**6*P(6))) ) ) 6 ( P * 6 * * ) J ( E * 5 2 6 0 . 0 ( + ) ) 4 ( P * 4 * * ) J ( 3 * 5 2 1 . 0 ( + 8(2)/C(2) 2 ( C / ) 2 ( 8 + : OSAT AU 2*(PI)*R*SIGMA ) I P ( * 2 VALUE CONSTANT A: RV GAIY EFFECT GRAVITY GRAV: : OAIN LN X AXIS X ALONG LOCATION X: O O 500 TOGO AD S(J). R) G T 300 TO GO ) .R E .L ) J ( S .AND. ) J ( S . E L . ) J ( Z ( F I 25 1 3 . - 2 * * ) J ( U * 5 2 6 5 . 6 + 4 * * ) J ( U * 5 7 8 6 . 9 1 - 6 * * ) J ( U * 5 7 3 4 . 4 1 = ) 6 ( P J) ( S / R = C ) J ( 5 7 3 . + 2 * * ) J ( U * 5 7 . 3 “ 4 * * ) J ( U * 5 7 3 . 4 = ) 4 ( P ( =U( ) (J U P(1 )= 5 . 0 - 2 * * ) J ( U * . 5 1 = ) 2 ( P 5 . 0 )/R * J ( * ) S ) J 2 )= ( * (J * /S B ) ) J J ( ( Z Z = + ) J 2 ( * * U X ( = ) J ( S O 0 1=26/51 10 DO X = 277*R*SIGMA 1 0 0 A=0. LT.0. DX=R/5. ) 1 0 0 .0 0 . T .L X D ( F I READ( 5 / 1 20/ERR=11 )R 20/ERR=11 1 / 5 READ( QAIN O LRE . TLOD E. .5 ) 2.45B EQ. (TELFORD/ X. LARGE FOR EQUATION / ) 2 ( U / ) 2 ( S / ) 2 ( Z / ) 2 / 1 5 ( P M E T / ) 1 5 ( V A R G / ) 6 ( P / G / L / A M G I S / R REAL QAIN O SAL O SAL . TLOD E 2.45A) EG (TELFORD/ R. SMALL OR X SMALL FOR EQUATION READ(5/120/ERR=15)DX (/2/ =14)L R R 0(5/120/E A E R ED(5/120/ERR / 0 = 2 1 13)SIGMA READ / 5 ( 51 ERR=12Z( ) (1 2)Z 1 = R R /E 0 (5/12 D A E R RVI=EP(1/ I2) (I/2 P M S T - ) /1 1 ( GRAV(I)=TEMP O 0 1=26/51 30 DO X = 0. 0 F Z(J) G. ) O O 400 TO GO R) .GT. ) J (Z IF ( F( G. .N. .T Z( O O 400 TO GO ) ) (J Z R.GT. .AND. R GT. ) .(S J IF ( O 0 /2 1 = J 20 DO ) Z1 + L + Z(1) Z ( 2)= F(L. O. O O 14 TO GO ) .O .O E .L L ( IF FCIGT. 52-) (I) V A R G -I)= 2 (5 V A R G ) 6 .2 T I.G C IF * A = ) J - ) ) 2 ( P * 2 * * ) J ( 8 * 5 . 0 ( + ) ) 1 ( F * ) J ( B - . 1 ( ( DECLARATIONS ------ 59 60 30 CONTINUE RETURN END C /\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\V \/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/w SUBROUTINE DSHEET(DEPTH,THICK,LENG^DIP,DENS,CX,GRAV) c c * * * * * * * * * * * * 0 SHEET SUBROUTINE DESCRIPTION * * * * * * * * * * * * c c USES EQUATION 2 .4 6A , TELFORO ------c WRITTEN BY R. LEVISKA AND J. ZAPATA, OCT., 1983 FOR GL562 c THIS SUBROUTINE WILL CALCULATE 51 DIFFERENT GRAVITY VALUES c FOR A THIN DIPPING SHEET. ALL INPUTS WILL BE IN DEGREES c AND FEET. LISTED ARE THE FOLLOWING PARAMETERS: c c DEPTH - DEPTH OF BODY FROM SURFACE c THICK “ THICKNESS OF BODY c LENG - LENGTH OF BOCY c DENS - DENSITY CONTRAST c DX - CHANGE IN HORIZONTAL DISTANCE c REAL DEPTH,THICK,LENG,DIP,DENS,DX,X, X A ,B ,C ,D ,0 1 ,D 2 ,E ,L ,G R A V (51 ) INTEGER N DATA RAD/0.01745329/ 10 WRITE(5,140Q) 1400 FORMAT(1H ,29HPLEASE ENTER DEPTH,THICK,LENG) READC5,1500,ERR=10) DEPTH, THICK, LENG 1500 FORMAT(3F) IF (DEPTH .LE. O.C) GO TO 10 IF (THICK .LE. O.C) GO TO 10 IF(LENG .LE. 0.0) GO TO 10 CONTINUE 20 W RITE(5,16 00) 1600 FORMAT <1H ,25HPLEASE ENTER DIP AND DENS) REAO(5,1700,ERR=20) CIP, OENS 1700 FORMAT (2F) IF (DIP .LT. 0.0 .OR. DIP .GT. 180.0) GO TO 20 CONTINUE 30 WRITE(5,1800) 1300 FORM AT(1H ,15HPLEASE ENTER OX) READ(5,1900,ERR=30) DX 1900 FORMAT(F) C C IF USER ENTERS 0 OR A NEGATIVE VALUE FOR OX C THEN THE PROGRAM WILL PROVIDE DX C IF (DX .GT. 0.0) GO TO 2100 OX = ((3.Q/2.G)*LENG)/25.0 2100 CONTINUE X = -26.*D X Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. DO 51 N=1/51/1 A = 0.004C7*0ENS*THICK 3=((DfcPTH+LENG+SIN(DIP*RAD))**2+(X+LENG*COSCDIP*RAD))**2)/ X (X**2+0£PTH**2) C = 0.5*SIN(CIP*RAD)*AL0G10(3> D1=CDEPTH*SIN(DIP*RAD)+LENG+(X)*COS(DIP*RAD)) D2 = (CX)*SIh(DIP*RAO)“DEPTH*COS(DIP*RAD)) D = ATANCD1/D2) E=ATAN((DEPTH*SIN(DIP*RAD)+(X)*COSCDIP*RAO))/ X ((X)*SIN(DIP*RAD)“DEPTH*COS(DIP* R A D))) L = COS(DIP*RAD)*(0 - E) GRAV(N)=A*(C“ L) X=X+0X 51 CONTINUE RETURN END C/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/ C AUTHORS: DAVE COOK , ANN NEVERO C SUBROUTINE HSHEET C C USES EQUATION 2 .4 7 A , TELFORD ------C THIS FORTRAN PROGRAM CALCULATES THE GRAVITY EFFECT OF C A HORIZONTAL THIN SHEET OF VARIABLE LENGTH AND GIVEN THICKNESS C C VARIABLE DICTIONARY C C REAL Z-VERTICAL DEPTH TO CENTER OF SHEET OR SLAB C T-SLAB THICKNESS C SIGMA-OENSITY CONTRAST C DX-DISTANCE BETWEEN POINTS C X-OISTANCE FROM ZERO PT.CLENGTH IN FT.Q C L-LENGTH OF THE SHEET [FEET]/' MEASUREO TO RIGHT FROM ORIS C G < ) “ GRAVITY AT A GIVEN PT. C C INTEGER PNT-THE PT. IN QUESTION C I-LOCATION OF POINT ON X C SUBROUTINE HSHEET (Z/T/-L/SIGMA/OX/-G) C REAL Z/T,SIGMA,DX,X,G<51>,PI,L INTEGER PNT/I C C IN IT IA L IZ E VARIABLES C PNT = -25 PI = 3.1415927 1 = 0 C C INPUT THE DEPTH C 10 WRITE (5 ,1 0 0 ) 100 FORMAT(2X, 'WHAT IS THE DEPTH TO CENTER OF SHEET?') Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 62 READ (5/200/ERR = 10) Z 200 FORMAT( F) 20 WRITE ( 5 /3 0 0 ) 300 FORMAT (2X/'WHAT IS THE SLAB THICKNESS?') READ (5/200/ERR = 20) T IF (Z.GT.2. 0*T) GO TC 400 WRITE (5 /3 5 0 ) 350 FORMAT (2X/'ERRR! OEPTH < 2* THICKNESS!') GO TO 10 400 WRITE ( 5 /5 0 0 ) 500 FORMAT (2X/'WHAT IS THE DENSITY CONTRAST?') READ (5/2 0 0 /E R R = 40C) SIGMA 30 WRITE (5 /6 0 0 ) 600 FORMAT (2X/'WHAT IS THE X-LENGTH OF THE SHEET') READ (5/200/ERR = 30) L 40 WRITE ( 5 /7 0 0 ) 700 FORMAT(2X/'WHAT IS THE OISTANCE BETWEEN POINTS?') READ (5/200/ERR = 40) DX IF (DX.LT.0.0001) DX = 2.0*Z/25.0 50 IF (PNT.GT.25) GO TO 70 X = PNT*DX 1 = 1 + 1 PNT = PNT + 1 G(I)=0.0C4O7*SIGMA*T*(ATAN((L-X)/Z)+ATAN(X/Z) ) GO TO 50 70 RETURN END c/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/ SUBROUTINE PRISM (3T/D8/B/ALPHA/DS/DX/G RAV) C*** GEOLOGY 562-GRAVITY AND MAGNETICS. C AUTHORS: DEMETRE VALINORAS & WILLIAM MORSE. C * ** THIS SUBROUTINE CALCULATES THE THEOROTICAL GRAVITY C FOR A CENTRAL STATION AND 25 STATIONS ON EITHER SIDE C OF THE CENTRAL STATION. C USESEQUATION 2 .4 9 A / TELFORD------C THE VARIABLES ARE DECLARED EXPLICITLY ONLY IF THEY C ARE SIGNIFICANT. THEY ARE NOT DECLARED BUT USED C IM PLICITLY IF THEY ARE ONLY INTERMEDIATE OR CONTROL C VARIABLES. A LIST OF THE VARIABLES FOLLOWS: C DT: DEPTH TO THE TOP OF THE PRISM C • DBS DEPTH TO THE BOTTOM OF THE PROSM. C B: WIDTH OF THE PRISM C ALPHA: ANGLE OF DIP CF THE PRISM. (MEASURED CCW) C OS: DENSITY CONTRAST OF THE PRISM C DX: STATION SPACING ON THE SURFACE. IF A VALUE C OF 0 .0 0 0 1 OR LESS IS INPUT THEN THE SPACING C IS CALCULATED ACCORDING TO: DX=3/6 C P I: THE CONSTANT P I. C ALPHAR: ALPHA IN RADIANS. C X ( 51 ) : ARRAY CONT A IN IGN THE STATIONDISTANCES FROM C THE CENTRAL STATION. NEGATIVE DISTANCES ARE C TO THE LEFT OF THE CENTRAL STATION/ POSITIVE Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 63 C TO THE RIGHT. DISTANCES ARE IN FEET. C GR AV < 51 ): ARRAY WITH THE CORRECTIONS FOR EACH STATION. c THE REST OF THE VARIABLES ARE SELF EXPLANATORY. INTEGER I REAL DT/D3/8/ALPHA/DS/0X/PIxALPHAR/X(51)/ GR A V <51)/ SINArCCSA,SIN2A/C0TA,C0NST DATA PI/3.1415926536/ 10 WRIT E(5✓1000) 1000 F O R M A T (//2 X ,'IN P U T DEPTH TO TOP & BOTTOM OF PR IS M :'S ) READC5/1005,ERR=10) 0T,D3 1005 FORMAT(2F) 11 WRITE(5✓1010) 1010 FORMATC/,2Xx'INPUT WIDTH OF PRISM & ANGLE OF C IP :'S > R E A 0(5 /1 005 ,E R R = 11) S,ALPHA 15 WRITE(5,1015> 1015 FORMAT(//2Xr'INPUT DENSITY CONTRAST S DELTA X:'$) READ(5/1005*ERR =15) CS/DX 1700 IF(DX.LT.0.QC01) DX=B/6. ALPHAR=PI*ALPHA/180. SINA=SIN(ALPHAR) COSA=COS(ALPHAR) SIN2A=SINA**2 COTA=COSA/SINA CONST=O.OO407*DS 0 8 2 = 0 3 **2 DT 2 = 0T ** 2 DO 1200 1=1^51 X(I)= FR1=(D32+CX FR3=(QS2+ G1=X (I)*SIN2A*0.5*L0G1+B*SIN2A*0.5*L0G2 G2=X GRAV(I)=C0NST*(G1~G2+G3-G4) 1200 CONTINUE RETURN END Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 64 C C SU3R0UTINE FAULT c a u t h o r ; s a if u l b a h r i baharom c GEOPHYSICS 542 GRAVITY AND MAGNETIC METHODS c C c THIS IS A SUBROUTINE TO CALCULATE THE GRAVITY EFFECT c OF A FAULT AT VARIOUS POINTS.THE INFORMATION NEEDED c TO DO THIS ARE : c 1) THE THICKNESS OF THE 3EO c 2) THE DEPTH TO THE RIGHT SIDE c 3) THE DEPTH TO THE LEFT SIDE c 4) THE ANGLE OF DIP OF THE FAULT (MEASURED CCW FROM L5F' c 5) THE AVERAGE DENSITY OF THE ROCK c 6) THE INCREMENT OESIRED FOR THE X-AXIS c THE ROUTINE IS BASED ON EQUATION 2.51A OF TELFORD ------c C C DECLARATION CF VARIABLES SUBROUTINE FAULT ( Z1 / Z3 / THIK / DIP / D EN S / DX / GR A V) REAL 8/Q1/Q2/Q3/Q4/Y1/Y2/Y3/Y4/F1/F2/F3/F4/PI/X/Z2/Z4 REAL GRAVC51) INTEGER I DATA PI/RAD/3 . 1415926/0.01 745329/ C C INPUT OF DATA:THICKNESS/DEPTH TO RIGHT SIDE/DEPTH TO THE C LEFT S ID 5 /0 IP ANGLE/ AVERAGE DENSITY C AND THE X-AXIS INCREMENT. C 5 WRITE (5 /1 0 ) 10 FORMAT(2X/'ENTER THICKNESS/ DEPTH TO RIGHT SIDE/ DEPTH TO + LEFT S ID E ') READ (5/20/ERR=5) THIK/Z1/Z3 20 FORMAT(3F) IFCTHIK.LT. (O.OD)GO TO 5 IFCZ1.LT.(O.C1))GO TO 5 IF C Z 3 .L T .C O .0 1 ) )G0 TO 5 25 WRITE (5 /3 0 ) 30 F0RMATC2X,'ENTER DIP ANGLE/AVERAGE DENS IT Y / X-INCREME NT') READ (5/40/ERR=25) CIP/DENS/DX 40 FORMAT(3F) IF(OIP.LT.(0.00001>)G0 TO 25 IFCDIP.GT.(180.0))GO TO 25 ROIP = DIP * RAD Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 65 IF (DX.LT.(0.000001)) DX = 23 / 5.0 Z2 = Z1 + THIK Z4 = Z3 + THIK C C C C LOOP FOR CALCULATING THE GRAVITY VALUES AT VARIOUS POINTS C 50 I = 1/51 X • ( I - 26 ) * CX IF ( I . EQ . 26 ) GO TO 45 B = ( PI / 2. - ROIP ) Q1 = A TAN ( X / Z1 + SIN(B)/COS(5) ) Q2 = AT AN ( X / Z 2 + SIN<3)/COS(3) ) Q3 = ATAN < X / Z 3 + SIN<3)/COS(B) ) Q4 = ATAN C X / Z 4 + SIN(B)/COS(B) ) Y1 = ( Q1 - 3 ) Y2 ( Q2 - B ) Y3 = ( Q3 - B ) Y 4 = ( Q4 - 3 ) F1 Y1 * ( COS ( Y1 ) / SIN (Y1)) - AL0G10 GRAV(I)=0.00407*DENS*(PI*THIK+X* + (COS (B))**2*(F2-F1-F4+F3)) 45 IF (ABS(X) .LT.0.00001)GRAV(I )=0.004G7*DENS*PI*THIK C------SUBTRACT THE BACKGROUND CONSTANT GRAV DUE TO THE ENTIRE S L A 5. GRAV(I)=GRAV (I) - C.01277 * OENS * THIK 50 CONTINUE RETURN END c/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\ SUBROUTINE GRAPH(Y/N/ AMIN / AMAX) C WRITTEN BY W. A. SAUCK/ U. OP ARIZONA/ 1969. C— MODIFIED FOR WMU DEC1099 IN OCT./ 1983. C— PLOTS VALUES OF Y FOR EACH OF N VALUES OF X. (N) IS SIZE OF Y ARRAY. C— SUBROUTINE CALCULATES MIN AND MAX VALUES OF Y UNLESS THEY ARE C— SUPPLIED AS NON-ZERO VALUES BY CALLING ROUTINE. DIMENSION Y ( 511/ CHAR(81> COMMON F IG C 51/25) DATA BLANK/PL /A S T /D 0T/1H /1 H + /1 H * /1 H . / 200 FORMAT(53X/*GRAVITY ANCMALY'/1 7X/5(1 OX/ F10 .4 )/34X/1 H:/ 14(19X/1H:)) 300 F0RMAT(6X/22 ( ' ...... ')) 400 FORMAT (' . ' / 25A1 / ' . . '/3 1 A1 / 1 H .) IFCAMIN.NE.O..AND.AMAX.NE.O.) GO TO 11 YMIN = Y (1) YMAX = Y (1) DO 10 I=1/N IF(YMIN.LT.Y (I)) GO TO 5 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 66 YMIN = Y ( I ) GO TO 10 5 IF(YMAX.GT.Y(I ))GO TO 10 YMAX=Y(I) 10 CONTINUE IF(ABSCAMIN). LE.0 .0000CC1) GO TO 12 11 YMIN = AMIN 12 IF(A3S(AMAX).LE.O.0OOOCG1) GO TO 14 13 YMAX = AMAX 14 YRANGE = YMAX-YMIN SF=30./YRANGE Y1Q = YMIN+YRANGE/ 4. Y2Q = YMIN+YRANGE/2 . YTQ = YMIN + . 75 *YRANGS WRITE (6/200) YMIN/Y1G/Y2Q/YTQ/YMAX WRITE (6 /3 0 0 ) DO 20 IJ= 1/N DO 15 K=1/81 15 CHAR(K) = BLANK IF(IJ-(IJ/3)*3)152,151/152 151 CHAR( 2 1 ) = QOT CHAR( 4 1 ) =DQT CHAR(61)=D0T C— NEXT 5 STMNTS PUT VERTICAL LINES AT UNIFORM INTERVALS GIVEN ON C— NEXT CARD. 152 IFCIJ-(IJ/18)*18) 13/16/13 16 CHAR( 1 )=PL DO 17 K=1 / 7 1 / 1 C CHAR( K) = DOT 17 CHARCK+5) = PL 18 I=(Y(IJ)-YMIN)*SF+1.5 C— NEXT 2 CARDS ALLOW + OR - 100 PERCENT ERROR IN ESTIMATING C— AMIN AND AMAX. IFCI.GT.81) 1=1-30 IF(I.LT.1 ) 1=1+80 19 CHAR( I ) = AST 20 WRITE (6 /4 0 0 ) ( F IG <1J / I I ) / I I = 1/25 ) / CHAR WRITEC6/300) RETURN END Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. APPENDIX B GRAVITY DATA BOUG.AN STN. LATITUDE LONGITUDE ELEV. OSS• GRAV. FR.AIR 8 7 4 1 3 ’ : 2 ? 7 l 82 " a 41 5 3 .8 3 35~56Too’ 36375 9 8 0 2 7 6 7 6 6 5 -21 .2 0 8 A 41 5 3 .3 3 85 5 6 .0 0 8 6 8 .0 9 8 0 2 7 6 .6 4 0 8 .3 8 8 -21 .135 A 41 5 3 .8 3 85 5 6 . OC 8 6 8 .0 9 3 0 2 7 6 .6 6 2 8 .4 1 0 8 .1 0 6 - 2 1 . 5 9 1 AE1 41 5 3 .8 0 85 5 5 .1 3 871 .0 9 8 0 2 7 6 .0 3 2 - 2 1 . 2 0 0 AE 2 41 5 3 .8 8 85 5 4 .8 3 8 7 7 .0 9 8 0 2 7 6 .1 8 4 8 .7 0 2 8.8 71 - 2 1 . 2 3 6 AE3 41 5 3 .5 5 85 5 3 .6 8 8 8 3 .0 9 8 0 2 7 5 .2 9 4 1 0 .0 4 9 - 2 1 . 0 8 1 AE 4 41 5 3 .5 3 85 5 3 .0 8 9 1 3 .0 9 8 0 2 7 3 .6 1 9 1 0 .3 5 9 - 2 0 . 9 4 1 AE 5 41 5 3 .6 0 85 5 2 .5 0 9 1 8 .0 9 8 0 2 7 3 .5 6 5 . 1 0 . 4 2 4 - 2 0 . 9 1 0 AE6 41 5 3 .8 5 85 5 2 .5 0 9 1 9 .0 9 8 0 2 7 3 .9 0 9 - 2 0 . 3 4 9 AE7 41 5 3 .8 3 85 5 2 .0 0 9 2 6 .0 9 8 0 2 7 3 .5 2 1 1 0 .7 2 4 1 0 .6 3 5 - 2 0 . 6 3 1 AES 41 5 3 .3 0 35 5 2 .0 0 9 1 7 .0 9 8 0 2 7 3 .4 8 5 - 2 0 . 9 3 2 AN1 41 5 4 .6 8 85 5 6 .0 0 8 7 0 .0 9 8 0 2 7 8 .0 6 6 8 .7 3 1 9 .3 3 5 - 2 0 . 5 6 7 AN10 41 5 5 .1 0 85 5 4 .8 5 8 7 7 .0 9 8 0 2 7 8 .6 4 0 8 .6 4 8 - 2 0 . 6 0 6 AN11 41 5 4 .6 8 85 5 4 .8 5 8 5 8 .0 9 8 0 2 7 9 .1 1 2 - 2 0 . 9 1 8 AN12 41 5 4 .2 5 85 5 4 .8 3 381 .0 9 8 0 2 7 6 .7 7 7 9 .1 2 0 1 0 .4 8 3 - 2 0 . 5 7 8 AN13 41 5 4 .1 5 85 5 2 .5 0 911 .0 9 8 0 2 7 5 .1 7 0 - 2 0 . 7 4 6 AN2 41 5 5 .1 0 85 5 6 .0 0 8 9 0 .0 9 S 0 2 7 7 . 681 9 .6 0 0 - 2 0 . 6 4 3 AN3 41 5 5 .1 0 85 5 7 .1 5 331 .0 9 8 0 2 7 8 .3 2 3 9 .3 9 6 9 .5 6 7 - 2 0 . 8 1 2 AN4 41 5 5 .1 0 85 5 8 .3 0 89'1 . 0 9 8 0 2 7 7 .5 5 5 9 .6 2 4 -21 .1 3 0 AN5 41 5 5 .5 5 85 5 8 .3 0 9 0 2 .0 9 8 0 2 7 7 .2 5 1 1 0 .1 4 3 - 2 0 .2 7 1 AN6 41 5 5 .5 5 85 5 7 .1 5 8 9 2 .0 9 8 0 2 7 8 .7 1 0 - 2 0 . 4 8 1 AN7 41 5 5 .5 5 35 5 6 .5 0 8 9 3 .0 9 8 0 2 7 8 .4 4 0 9 .9 6 7 - 2 0 . 2 3 0 AN8 41 5 5 .5 3 85 5 4 .2 5 8 8 7 .0 9 8 0 2 7 8 .9 7 0 9 .9 6 3 - 2 0 . 0 2 3 AN9 41 5 5 .5 5 85 5 4 .8 5 8 7 8 .0 9 8 0 2 7 9 .7 9 7 9 .9 1 3 -2 1 .8 1 7 AW1 41 5 3 .8 3 85 5 8.2 8 8 7 5 .0 9 3 0 2 7 5 .6 1 0 3 .0 1 7 8 .3 1 9 - 2 2 . 4 3 5 AW2 41 5 3 .8 5 86 0 .6 5 9 0 2 .0 9 8 0 2 7 3 .4 0 4 -21 .8 5 7 B 41 5 3.0 0 85 5 6 .0 0 3 5 4 .0 9 8 0 2 7 5 .5 9 0 7 .2 6 1 -21 .8 6 5 3 41 5 3 .0 0 35 5 6 .0 0 8 5 4 .0 9 8 0 2 7 5 .5 8 2 7 .2 5 3 - 2 1 . 8 1 3 B 41 5 3 .0 0 85 5 6 .0 0 8 5 4 .0 9 8 0 2 7 5 .6 2 9 7 .3 0 0 - 2 0 . 9 6 4 BE1 41 5 3 .1 8 85 5 5 .1 0 8 6 3 .0 9 8 0 2 7 6 .2 1 2 8 .4 6 1 -2 1 .5 2 8 3£2 41 5 2 .9 5 85 5 3 .6 8 881 .0 9 8 0 2 7 4 .2 2 5 8.511 BE3 41 5 2 .9 0 85 5 2 .8 5 9 1 3 .0 9 8 0 2 7 2 .4 5 6 9 .3 2 6 -21 .303 -21 .272 BE4 41 5 2 .9 0 85 5 2 .5 0 9 1 5 .0 9 8 0 2 7 2 .3 6 8 9 .9 2 6 - 2 0 . 9 2 2 3E5 41 5 2 .9 0 85 5 2 .0 0 9 1 8 .0 9 3 0 2 7 2 .5 3 8 1 0 .3 7 8 BU1 41 5 2 .9 8 85 57.1 5 8 6 3 .0 9 8 0 2 7 4 .6 5 5 7 .2 0 3 - 2 2 . 2 2 2 - 2 2 . 7 3 2 BW 2 41 5 2 .9 8 85 5 8 .3 0 8 6 5 .0 9 8 0 2 7 3 .9 7 5 6 .7 11 - 2 3 . 2 6 6 BW3 41 5 3 .0 0 86 0 .6 5 8 9 2 .0 9 8 0 2 7 1 .9 0 2 7 .1 4 7 3W4 41 5 3 .0 0 86 1 .8 0 8 9 2 .0 9 8 0 2 7 2 .2 2 1 7 .4 6 6 - 2 2 . 9 4 8 - 2 3 . 3 6 4 C 41 5 1 .6 5 85 5 6 .0 5 8 6 8 .0 9 8 0 2 7 1 .2 2 5 6 .2 3 1 - 2 3 . 0 3 6 C • 41 5 1 .6 5 85 5 6 .0 5 8 6 8 .0 9 3 0 2 7 1 .5 5 3 6 .5 6 0 c 41 51 .65 85 5 6 .0 5 8 6 3 .0 9 8 0 2 7 1 .5 7 4 6 .5 81 - 2 3 . 0 1 4 - 2 3 . 2 1 5 CE1 41 5 1 .6 5 85 5 5 .1 5 8 9 7 .0 9 8 0 2 6 9 .6 3 5 7. 369 - 2 2 . 8 8 6 CE2 41 5 1 .6 3 85 5 4 .5 8 8 9 3 .0 9 8 0 2 7 0 .1 7 5 7 .5 6 2 - 2 2 . 4 0 8 CE3 41 51 .6 3 85 5 4 .0 0 8 8 9 .0 9 8 0 2 7 0 .8 9 3 7 .9 0 3 67 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 68 -22.173 CE4 41 51 .60 85 52.85 848 .0 980273.541 6.740 -20.580 CE5 41 51.15 85 51 .10 910.C 980270.742 10.447 -20.303 CE6 41 51 .60 85 51.10 913.0 980271 . 51 3 10.826 -22.424 CN 41 52.28 85 56.00 854.0 980273.946 6.694 -22.262 CN1 41 52.28 85 55.13 862.0 980273.628 7.129 -22.494 CN 2 41 52.25 85 54.00 904.0 980270.833 8.329 -22.040 CN3 41 52.25 85 52.83 901 .0 980271.467 8.681 CN4 41 52.03 85 51.10 920.0 980271.450 10.780 -20.588 -22.899 CNW1 41 52.33 85 57.33 849.0 980273.846 6.049 CNW2 41 52.68 85 58.90 862.0 980273.719 6.621 -22.770 -23.344 CNW3 41 52.60 86 0.05 871 .0 980272.485 6.354 CNW4 41 52.60 86 0.60 884.0 930271.533 6.625 -23.516 CNW5 41 52.1 5 86 1 .00 856.0 980272.132 5.263 -23.923 CN W6 41 51 .28 86 1.75 864.0 980269.089 4.271 -25.187 CNW7 41 51 .33 86 0.30 832.0 930271.570 3.669 -24.699 CNWS 41 52.15 86 C .05 862.0 980271.940 5.636 -2 3.755 CS1 41 51.20 35 56.05 339.0 980271.733 4.685 -23.922 CS10 41 49.50 85 58.38 846.0 980266.621 .2.772 -26.073 CS11 41 49.05 85 58.40 841 .0 980265.835 2.188 -26.487 CS12 41 48.43 35 58.40 813.0 980265.506 0.151 -27.569 CS2 41 50.30 85 56.05 924.0 98C263.673 5.964 -25.541 CS 3 41 49.45 85 56.08 911 .0 980261.911 4.251 -26.810 CS A 41 49.50 85 57.53 880.0 980264.736 4.085 -25.919 CS5 41 49.25 85 56.68 900.0 9S0261.670 3.274 -27.412 CS6 41 49.45 85 56.68 900.0 980263.179 4.484 -26.202 CS7 41 5C.33 85 57.20 937.0 980263.320 6.789 -25.159 CSS 41 51 .20 85 58.35 842.0 980272.104 5.338 -23.371 CS 9 41 50.33 85 50.35 895.0 980265.141 4.659 -25.857 CW1 41 51.70 85 '57.15 839.0 980272.395 4.598 -24 .009 CM2 41 51.70 85 58.33 831 .0 980273.312 4.763 -23.571 D 41 50.80 85 56.05 880.0 980267.654 5.060 -24.945 0 41 50.80 85 56.05 880.0 980267.864 5. 270 -24.735 D 41 5G.30 85 56.05 880.0 980267.896 5.301 -24.704 DE1 41 50.55 85 54.90 914.0 930265.479 6.456 -24.708 DE2 41 50.53 35 53.73 924.0 980266.107 8.055 -23.450 DE 3 41 50.53 85 52.85 935.0 980266.222 9.204 -22.676 -25.078 DW1 41 50.78 85 57.13 904.0 980266.052 5.745 DM 2 41 5G.80 85 58.35 851 .0 980269.471 4.148 -24.867 DM3 41 50.78 85 59.40 842.0 930269.944 3.806 -24.903 E 41 49.90 85 56.05 943.0 980261.402 6.079 -26.073 E 41 49.90 85 56.05 943.0 980261.420 6.097 -26.056 E 41 49.90 85 56.05 943.0 980261.468 6.145 -26.008 E 41 49.90 85 56.05 943.0 980261.537 6.214 -25.939 EE 1 41 49.90 85 54.90 936.0 930262.346 6.364 -25.550 EE1 41 49.90 85 54.90 936.0 980262.497 6.516 -25.398 EE 2 41 49.90 85 53.75 911.0 980265.351 7.018 -24.044 EE 2 41 49.90 85 53.75 911 .0 980265.292 6.959 -24.102 -22.364 EE3 41 49.90 85 52.85 897.0 930267.869 8.220 EE3 41 49.90 85 52.85 897.0 980267.991 8.342 -22.242 EE A 41 49.20 85 51.98 357.0 980270.798 8.431 -20.790 EES 41 49.85 85 50.88 872.0 980272.657 10.730 -19.001 E56 41 49.85 85 50.30 862.0 980274.043 11.176 -18.215 EE7 41 49.85 85 49.15 921 .0 980270.457 13.139 -18.264 ESE1 41 49.43 85 54.93 908.0 980263.067 5.154 -25.805 ES52 41 49.43 85 53.75 888.0 980265.318 6.024 -24.253 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 69 ESE3 41 49.43 85 52.58 895 0 980263.166 9.030 -21 .486 EW1 41 49.90 85 56.63 955 0 980260.532 6.383 -26.174 EW1 41 49.90 3556.63 955 0 980260.621 6.427 -26.135 EW10 41 49.90 85 56.35 936 0 980261.729 5.747 -26.167 EW11 41 49.90 85 56.95 945 0 980261.395 6.260 -25.961 EW12 41 49.90 35 57.50 910 0 980263.438 5.012 -26.016 EW1 3 41 49.90 85 58.30 912 0 980262.979 4.696 -26.399 EW14 41 49.90 85 53.63 875 0 930265.407 3.613 -26.221 EW15 41 49.90 85 59.20 828 0 980268.500 2.285 -25 .946 EW16 41 49.70 85 59.00 850 0 980265.934 2.162 -26.819 EW17 41 49.50 8 5 59.00 847 0 980267.212 3.457 -25 .422 EW18 41 49.30 85 59.00 822 0 930267.756 1.948 -26.079 EW1 9 41 49.08 85 58.75 840 0 980266.200 2.414 -26.226 EW2 41 49.90 85 57.20 915 0 980263.304 5.347 -25.351 EW2 41 49.90 85 57.20 915 0 980263.138 5.230 -25.967 EW20 41 49.05 85 58.15 342 0 980265.328 1.774 -26.934 EW21 41 49.05 85 57.65 882 0 930262.932 3.141 -26.932 EW22 41 49.28 85 58.40 355 0 980265.403 2.729 -26.423 EW23 41 49.70 85 58.40 880 0 980264.273 3.323 -26.681 EW24 41 49.70 85 56.65 930 0 980261.320 5.573 -26.136 EW25 41 49.70 85 56.05 910 0 980262.793 4.665 -26.362 EW26 41 48.83 85 56.08 874 0 980262.771 2.556 -27.244 EW27 41 49.25 85 56.05 905 0 930261.748 3.822 -27.035 EW3 41 49.90 35 57.80 919 0 980262.959 5.379 -25.955 EW3 41 49.90 85 57.80 919 0 980262.968 5.388 -25.946 EW4 41 49.90 85 58.35 393 0 980263.820 4.227 -26.392 EU4 41 49.90 85 58.35 898 0 980263.881 4.287 -26.331 EW5 41 49.90 85 58.95 862 0 980266.104 3.163 -26.228 EW5 41 49.90 85 58.95 862 0 980266.127 3.1 86 -26.205 EW6 41 49.90 85 59.38 816 0 980269.335 1.991 -25.831 EM6 41 49.90 85 59.38 816 0 980269.365 2.021 -25.801 EW7 41 50.35 86 0.33 806 0 980270.313 1.437 -26 .045 EWS 41 5C.43 86 1.80 836 0 980269.190 2.935 -25.570 EW9 41 49.83 86 1 .80 828 0 980267.830 1 .795 -26.436 F 41 48.60 85 56.10 867 0 980262.694 2.165 -27.396 F 41 48.60 85 56.10 867 0 980262.749 2.220 -27.341 F 41 48.60 85 56.10 367 0 980262.904 2.375 -27.186 F 41 48.60 85 56.10 867 0 980262.557 2.027 -27.534 F 41 48.60 35 56.10 867 0 980262.811 2.281 -27.280 -26.740 FE1 41 48.60 85 54.90 879 0 980262.631 3.23C FE2 41 48.60 85 53.75 888 0 980264.319 5.766 -24.512 FF3 41 48.60 85 52.80 897 0 980265.915 8.203 -22.376 FE4 41 48.60 85 51 .95 878 0 980268.171 8.677 -21 .259 FE5 41 48.55 85 50.83 871 0 980269.512 9.434 -20.264 FE 6 41 48.55 85 50.05 775 0 980277.257 8.149 -18.275 -27.434 FW1 41 48.33 85 56.70 883 0 980262.041 2.673 FW2 41 49.05 85 57.53 371 0 980263.935 3.159 -26.533 FW3 41 49.05 85 57.95 864 0 980264.130 2.646 -26.813 FW.4 41 49.08 85 59.00 303 0 980267.545 0.273 -27.101 FW5 41 49.08 86 0.05 807 0 980267.002 0.111 -27.404 FW6 41 49.05 36 1.75 817 0 980266.635 0.729 -27.127 G 41 48.15 85 56.13 853 0 980262.598 1.425 -27.659 G 41 48.15 85 56.13 853 0 980262.643 1.470 -27.614 G 41 48.15 85 56.13 853 0 980262.729 1.557 -27.527 G 41 48.15 35 56.13 853 0 980262.547 1.374 -27.710 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 70 -27.788 GE1 A1 48.15 85 54.98 891 0 980260.190 2.592 -25.202 GE2 A1 48.10 85 53.80 882 0 980263.240 4. 870 -22.941 GE3 A1 49.10 85 52.00 884 0 980266.377 7.200 -25.727 GSE1 A1 47.70 85 53.80 887 0 980261.818 4.51 6 -28.239 GSW1 A1 47.85 85 57.25 823 0 980263.068 -0.008 -28.518 GSW2 41 47.75 85 58.43 £44 0 980261.681 0.259 -28.434 GSU3 A1 47.75 85 54.45 804 0 980264.164 - 1.021 -29.462 H 41 47.30 85 56.15 374 0 930258.266 0.338 -29.288 H 41 47.30 85 56.15 874 0 980258.439 0.512 H A1 47.30 85 56.15 874 0 980258.325 0.397 -29.402 -28.614 HE1 A1 47.23 85 55.00 878 0 980258.344 1.322 -21.053 HE 2 41 47.25 85 50.85 314 0 980270.198 6.701 -29.265 HW1 41 47.30 85 57.00 848 0 930260.021 -0.352 -29.644 HW2 41 47.28 85 58.45 336 0 980260.333 -1=140 -28.492 HW3 41 47.35 86 0.63 324 0 980262.309 -0.396 -28.693 HVI4 41 47.53 86 1 .50 812 0 930263.097 -1.007 -29.492 I 41 46.85 85 56.15 850 0 980259.002 -0.511 -29.509 I 41 46.85 85 56.15 850 0 980258.985 -0.527 -29.093 IE1 41 46.83 85 55.00 848 0 980259.491 -0.180 1 .366 -26.865 IE2 41 46.80 85 53.85 823 0 98G262.873 -29.454 IW1 41 46.85 85 57.00 846 0 980259.280 -0.608 IW 2 41 46.88 85 58.45 825 0 980260.401 -1.507 -29.636 -29.505 IW3 41 46.90 86 0.50 816 0 980261.103 -1 .683 -29.569 IMA 41 46.90 36 0.65 814 0 980261.158 -1.815 -29.422 IW5 41 46.90 86 1.30 814 0 980261.306 -1 .668 J 41 46.15 85 56.15 802 0 980260.594 -2.388 -29.733 -29.769 J 41 46.15 85 56.15 302 0 980260.558 -2.424 JE 1 41 46.20 85 55.00 803 0 980261.198 -1.764 -29.143 JNW1 41 46.60 35 58.45 816 0 980260 = 269 -2.069 -29.892 -28.009 JSE1 41 45.95 85 53.88 782 0 930263.219 -1.346 JSE2 41 45.95 85 52.33 791 c 980266.424 2.706 -24.264 -21.553 JSE3 41 45.90 85 5C.88 787 0 930269.299 5.280 JW1 41 46.10 85 57.40 802 0 980259.792 -3.114 -30.459 -30.830 JW 2 41 46.00 35 58.50 303 0 980259.212 -3.451 JW3 41 46.03 36 0.05 797 0 980259.193 -4.079 -31 .254 JWA 41 46.00 86 1 .20 805 0 980259.312 -3.163 -30.610 K1 41 53.03 86 5.30 857 0 980275.544 7.452 -21.768 K1 G 41 50.38 86 4.10 861 0 980267=957 4.203 -25.153 -24.747 K1 1 41 51 .25 86 2.95 873 0 980263.645 5.189 K1 2 41 51 .70 86 2.95 869 0 980270.485 5.511 -24.119 K13 41 52.58 86 2.95 870 0 980273.452 7.257 -22.407 K1 A 41 53.03 86 2.98 884 0 980273.992 8.440 -21 .700 -21.266 K15 41 53.85 86 2.98 866 0 980276.731 8.261 K1 6 41 54 = 63 86 3.15 851 0 980279.698 8.576 -20.439 K17 41 54 = 70 86 5.23 820 0 980281.872 7.804 -20.155 K18 41 53.35 86 5.20 825 0 930280.158 7.331 -20.298 K1 9 41 53.78 86 6.00 796 0 980281.480 6.531 -20.609 K2 41 51.25 86 5.25 869 0 980270.223 5.921 -23.708 K3 41 50.40 86 5.25 873 0 980267.706 5.051 -24.715 KA 41 49.10 86 5.28 856 0 980265.481 3.171 -26.015 K5 41 46.95 86 3.00 801 0 980262.093 -2.179 -29.490 -23.134 K6 41 47.85 86 3.00 815 0 980263.953 -0.346 K7 41 49.08 86 2.70 831 0 980265.966 1.333 -27.001 -26.496 K8 41 49.55 86 3.15 351 0 980265.973 2.520 K9 41 5C.33 86 2.50 845 0 980268.323 3.069 -25.742 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. BIBLIOGRAPHY Beals, C. S. A probable meteorite crater of Precambrian age at Holleford, Ontario. Pub. Pom. Obs. (Ottawa), 1960, 24(6), 117-142. Beals, C. S., Innes, M. J. S., & Rottenberg, J. A. Fossil meteorite craters: The solar system. In B. M. Middlehurst & G. P. Kuiper (Eds.), The Moon, Meteorites and Comets, Vol. 4. Chicago, IL: University of Chicago Press, 1963. Pp. 235-284. Black, D. F. B. Cryptoexplosion structure near Versai'Hes, Kentucky. U.S. Geol. Surv. Prof. Paper 501B, 1964. Pp. 9-12. Bucher, W. H. Cryptoexplosion structures caused from within or without the earth (Astroblemes or Gleoblemes?). Am. J. Sc., 1963, 261, 567-649. Buschbach, T. C., & Ryan, Robert. Ordovician explosion structure at Glasford, Illinois. AAPG Bull. , 1963, 47(12), 2015-2022. Cohee, G. V ., & Landes, K. K. Oil in the Michigan Basin. In L. G. Weeks (Ed.), Habitat of Oil, Vol. 42, Amer. Assoc. Petrol. Geol., 1958. Pp. 473-493. Daniels, D. L. Personal Communication, May 1983. DeHaas, R. J. Personal Communication, Nov. 1983. Dence, M. R ., Innes, M. J. S ., & Robertson, P, B. Recentgeological and geophysical studies o f the Canadian craters. In B, M. French & N. M. Short (Eds.), Shock Metamorphism of Natural M aterials. Baltimore, MD: Mono Book Corp., 1968. P. 339. Dence, M. R., Innes, M. J. S., & Baals, C. S. On the probable meteorite origin of the Clearwater Lakes, Quebec. Royal Astron. Soc. Canada J . , 1965, 59, 13-22. Dence, M. R ., & Popelar, J. Evidence fo r an impact origin for Lake Wanapitei, Ontario. Geol. Assoc. Canada Spec. Paper 10, 1972. Dennis, J. G. Ries structure, southern Germany. A review. J. Geophys. Res., 1971, 76, 5394-5406. Dietz, R. S. Shatter cones in cryptoexplosion structures. In B. M. French & N. M. Short (Eds.), Shock Metamorphism of Natural M aterials. Baltimore, MD: Mono Book Corp., 1968. Pp. 267-285. Dobrin, M. B. Introduction to Geophysical Prospecting, 3rd ed. New York: McGraw-Hill, 1976. P. 630. 71 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 72 Ells, G. D. Architecture of the Michigan Basin. In Stonehouse (Ed.), Studies of the Precambrian of the Michigan Basin. Mich. Basin Geol. Soc. Ann. Excursion, 1969. Pp. 60-88. Enge'lhardt, W. Von. Impact structures in Europe. In G. J. H. McCall (Ed.), Astroblemes - Cryptoexplosion Structures, Vol. 50. Strouds burg, PA: Dowden, Hutchinson & Ross, Inc., 1979, and Internat. Geol. Congr., 24th Proc., 1972, 1_5, 90-111. Fisher, J. H. Early paleozoic history of the Michigan Basin. In H. B. Stonehouse (Ed.), Mich. Basin Geol. Soc. Ann. Excursion, 1969. Pp. 89-93. French, B. M., & Short, N. M. Shock Metair.orphism of Natural Materials. Baltimore, MD: Mono Book Corp., 1968. Grieve, R. A. F. The record of impact on earth: Implications for a major cretaceous te rtia ry impact event. Geol. Soc. Am. Spec. Paper 190, 1982. Gutschick, R. C. Geologyof the Kentland impact structural anomaly, northwestern Indiana. FieldGuide for Nat. Assoc. Geol. Teachers, East-Central Sec., 1971. Geometries, 1979. Operating Manual: Model G 816, Portable Proton Magnetometer. Sunnyvale, CA. 1979. Heiskanen, W. A., & Vening Meinesz, F. A. The Earth and Its Gravity Field. New York: McGraw-Hill, 1958. P. 470. Hinze, W. R. Regional gravity and magnetic anomaly maps of the southern peninsula of Michigan. Mich. Geol. Surv., Rept. Inv. 1, 1963, P. 26. Hinze, W. J ., & M erritt, D. W. Basement rocksof southern peninsula of Michigan. In H. B. Stonehouse (Ed.), Mich. Basin Geol. Soc. Guidebook, Studies of the Precambrian of Michigan, 1969, Pp. 28-59. Hinze, W. J ., M erritt, D. W., & Kellogg, R. L. Gravity and aeromagnetic anomaly maps of the southern peninsula of Michigan. Mich. Geol. Surv. Rep. Inv. 14, 1971, P. 16. Innes, M. J. S. The use of gravity methods to study the underground structure and the impact energy of meteorite craters. J. Geophys. Res., 1961, 66, 2235. Innes, M. J. S., Recent advances in meteorite crater research at the Dominion Observatory, Ottawa, Canada, Meteoritics, 1964, 2, 219-241. Innes, M. J. S., Pearson, W. J ., & Geuer, J. W. The Deep Bay crater. Pub. Dorn. Obs. (Ottawa), 1964, 31_(2), 39. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 73 James, W. R. Fortran IV program using double fo u rier series for surface fitting of irregularly spaced data. Computer Contr. 5, State Geol. Surv., Univ. Kansas, 1966B. Kellogg, R. L. An Aeromagnetic Investigation of the Southern Peninsula of Michigan. Ph.D. Thesis, Michigan State University. 1971. Lowell, J. D. Spitsbergen tertiary orogenic belt and the Spitsbergen fracture zone. Bull. Geol. Soc. Amer., 1972, Vol. 83. Masaytis, V. L ., Mikhaylov, M. V., & Selivanovskaya, T. V. The Popigay meteorite crater. Internat. Geol. Rev., 1971, J4, 327-331. In G. J. H. McCall (Ed.), Astroblernes - cryptoexplosion structures. Benchmark Papers in Geology, Vol. 50, 1979. Stroudsburg, PA: Dowden, Hutchinson & Ross, In c ., 1979. Mata, F ., Jr. Personal Communication. July 1982. McCall, G. J. H. (Ed.), Astroblemes - cryptoexplosion structures. Benchmark Papers in Geology, Vol. 50, 1979. Merritt, D. W. A Gravitational Investigation of the Scipio Oil Field in H illsdale County, Michigan, with a Related Study for Obtaining a Variable Elevation Factor. Ph.D. Thesis, Michigan State University. 1968. Middlehurst, B. M., & Kuiper, G. P. (Eds.), The solar system. The Moon, Meteorites, and Comets, Vol. IV. Chicago, IL: University of Chicago Press, 1963. PV 810. Millman, P. M., Liberty, B. A., Clark, J. F., Williams, D. L., & Innes, M. J. S. The Brent Crater. Pub. Dorn. Obs. (Ottawa), 1960, 24, 1-43. Milton, D. J., Barlow, B. C., Brett, R., Brown, A. R., Glikson, A. Y., Manwaring, E. A ., Moss, F. J ., Sedmik, E. C ., Van Son, J ., and Young, G. A. Gosses Bluff impact structure. Australia Science, 1972, 175, 1199-1207. Newcombe, R. B. Oil and gas fields of Michigan. Mich. Geol. Survey Pub. 38, 1933. Pirtle, G. W. Michigan structural basin and its relationship to surrounding areas. AAPG Bull. , 1932, J_6, 145-152. Popelar, J. Gravity interpretation of Sudbury area. Geol. Soc. of Canada, Spec. Paper 10, 1972, Pp. 103-115. Quennell, A. M. The structural and geomorphic evolution of the dead sea r i f t . Geol. Soc. London Proc., No. 1544, 1957, Pp. 14-20. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Roddy, D. J. The Glynn Creek crater, Tennessee. In B. M. Brench & N. M. Short (Eds.), Shock Metamorphism of Natural Materials, Baltimore, MD: Mono Book Corp., 1968, P. 291. Sawatzky, H. B. Astroblernes in the Williston Basin. Amer. Assoc. Petrol. Geol., 1975, 59(4), 694-710. Seeger, C. R. Origin of the Jeptha Knob Structure. Ph.D. Thesis, University of Pittsburg, 1966. Seeger, C. R. Geophysical investigation of the Versailles, Kentucky Astrobleme. GSA Bull., 1972, 8^, 3515-3518. Sharma, R. G., & Biswas, S. K. A portable proton precession magneto meter. Geophysical Prospecting, 1966, 292. Silver, L. T ., & Schultz, P. H. Geological implications of impacts of large asteroids and comets on the earth. Geol. Soc. Amer., Spec. Paper 190, 1982. Stearns, R. G., Wilson, Jr., C. W., Tiedemann, H. A., Wilcox, J. T., & Marsh, P. S. The Wells Creek structure, Tennessee. In B. M. French & N. M. Short (Eds.), Shock Metamorphism of Natural Materials, Baltimore, MD: Mono Book Corp., 1968, P. 291. Telford, W. M., Geldart, L. P., Sheriff, R. E., and Keys, D. A. Applied Geophysics, Cambridge, England: Cambridge University Press, 1976. Tudor, D. S. A Geophysical Study of the Kent!and Disturbed Area. Ph.D. Thesis, Indiana University, 1971, P. 111. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. BOUGUER GRAVITY ANOMAL SOUTH-CENTRAL CASS COUN A W G # CASSA 5OL|S © f PK/Hlfltf HWV B 2. 5-0 ■ tfvvnruw 1 1 ■Q2j Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. ./ PI ATE +N NQMALY MAP, 1 scale il mile COUNTY, MICHIGAN EXPLANATION Contour Interval: I *0 mllllgol © MSU Network Bos© Station Instrument: Worden Prospector I.G.F. 1930 Density: 2 .6 7 gm/cc Survey Date: Jan. 1983 to July 2? NT Station Location Oil Field r 9 18 \ c ZS-o Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. \./ P L AT-E— I ,N scale il mile EXPLANATION Contour Interval: I *0 mllllgal 0 MSU Network Base Station Instrument: Worden Prospector 1.6. F. 1930 Density: 2 .6 7 g m /c c Survey Date: Jan. 1933 to July 1983 -Station Location foil Field BjJ 16 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. z o 3 0 32 3 433 S o 20 23 8 6° ' 0 0‘ m Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. mss Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Y./ TOTAL MAGNETIC INTENSITY A SOUTH-CENTRAL CASS COUNTY CASSA POLIS I R G E SOloO A Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. PLATE N TY ANOMALY MAPs scale .Imile COUNTY, MICHIGAN. EXPLANATION Contour interval; 2 5 gammas 0 Base Station Instrument. Proton Precession Magnetometer (Geometries G-816) Survey Date: July 1983 to Aug. E Declination-. 1-8° Inclination: 71° F a: J-14 .L Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. PLATE II EXPLANATION Contour interval: 2 5 gammas 0 Base Station Instrument. Proton Precession Magnetometer (Geometries G-816) Survey Date: July 1983 to Aug. 1983 Oil Field o° ? 35 Declination-. 1-8° Inclination: 71° y— f F 14 ■(- Reproduced with permission of the copyright owner. Further reproduction prohibited wi without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further' re p ro ^ 7 p r^ ~ Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. FIRST HARMONIC RESIDUAL GRAVIT 16 M IL E S ; SOUTH-CENTRAL CAS CASSA >0L|S POKAHOH m M M m m m m x Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. iV IT Y MAP. WAVELENGTH- scale 3I n EXPLANATION Contour Interval: 0 • 5 p © MSU Network Baso Instrument: Worden Pro; I.G.F. 1930 Density: 2 .6 7 gm/cc Survey Date: Jan. 1983 Station Location Oil Field h 17 fUJ ‘J . • v 'v . rfL r" jNfM i Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. E V 1 ,N scale al mile EXPLANATION Contour Interval: 0*5m llllg als 0 MSU Network Base Station Instrument: Worden Prospector IGF. 1930 Density: 2 .6 7 gm/cc Survey Date: Jan. 1983 to July 1983 Station Location lO il Field ■'■•"Y y . '. ; - v v th permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. a-o 1*1+ 3: 3 2 3 3 y 34 20 8 6°* 0 0* Reproduced with permission of the copyrigni owner. Further reproduction prohibited without permission Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. j u n o Reproduced with permission of the copyright owner. Further reproduction prohibited without permission Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 29 3 0 32. 33 34 [5 f \ L f i K f o. - 1-0 20 24 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. N /i MAP. WAVELENGTH2 28 MILES scale al mile EXPLANATION S COUNTY, MICHIGAN Contour Interval 0 -2 5 mllllgfl © MSU NeHvorli Boos Static' instrument; Worden Prospect^ IGF. 1930 Density: 2 .6 7 gm/cc Survey Date: Jan. 1983 to v 4 - Station Location ■ Oil Field r 9 UJ 16 ^ 0 2 © Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. PL A T E |N LFSBase & ho» scale =al mile EXPLANATION Contour Interval:0 2 5 tnllllgals 0 MSU Network Base Station Instrument: Worden Prospector I.G.F. 1930 Density: 2 .6 7 gm/cc Survey Date: Jan. 1963 to July 1983 -+- Station Location H I Oil Field jJ 16 5] Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. a Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. SECOND HARMONIC RESIDUAL GRAVITY MILES; SOUTH-CENTRAL CASS C a SSA >01.13 pottnc a t) h m v . Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. RAVITY MAP, WAVELENGTH: 28 scoler Oc n l mils MICHIGAN. k, CASS COUNTY, EXPLANATION Contour lnterval:Q-£5 tnlltf © MSU Network Baoo Stc Instrument: Worden Prospej IG F . 1930 Density: 2 .6 7 gm/cc Survey Date: Jan. 1983 to •+• Station Location N 0 1 Field 14 3 W i:»\ VM-V rfvvj'*jyv>vxv/.v. Pv / w . V .v ' . . V w i W l Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. PI ATE -V- i8 scaler Oc= si mile EXPLANATION Contour lnterval:0*25 mllllgals © MSU Network Base Station Instrument; Worden Prospector 1.6. F. 1930 Densltv: 2 .6 7 am/cc -4- Station Location ]Oil Field f> iJ 16 _o-2b - 0 - 7 5 f -•5;« Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. E2SB Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. SECOND HARMONIC TREND SURFACE LENGTH = 28 MILES; SOUTH-CENTRAL MICHIGAN. a W d £ CASSA ’OUS © 3 l i tM/rf fAOf® - 2 ^ o F E o __n± + 3 4 •- WVA Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. I Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. PLATE VI FACE GRAVITY MAP WAVE- I scale zs\ mile ITRAL CASS COUNTY, EXPLANATION Contour Interval: I -0 mllllgals © MSU Network Bose Station Instrument: Worden Prospector I.G.F. 1930 Density: 2 .6 7 gm/cc Survey Date: Jan. 1983 to July Station Location Oil Field - 2 - ZS O * I- |9 mmw M Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. \ / iSfc; AT E -V -l N scale Oc 3I mile EXPLANATION Contour Interval: I -0 mllllgals 0 MSU Network Base Station Instrument; Worden Prospsctor I.G.F. 1930 Density: 2 .6 7 gm/cc Survey Date: Jan. 1983 to July 1983 Station Location fOil Field / H 4 -F -I- 17 / IjJ ' ... 1 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. — ...... — ■— — t ^ — i ^ — — am — BMM Miwiiii!iiwfnfiiaEiisaiBaii!i Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 26-0 30 32 33 S'O - 3 20 23 8 6° ' 0 0 s&sawi Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 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N GRAVITY MAP, WAVELENGTH* scole il mile ' EXPLANATION AL CASS COUNTY, MICHIGAN Contour Interval: 0 *5 mllllgals (B MSU NetworK Base Station Instrument: Worden Prospector IGF. 1930 Density: 2 .67 gm/cc Survey Dote: Jan. 1983 to Jul -t- Stotion Location n P i j O i l Field 31V * * * r \ ) Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. p r.: N ■ i 1 scole Oc al mile ' EXPLANATION Contour Interval: 0 * 5 mllllgals 0 MSU Network Base Station Instrument: Worden Prospector IGF. 1930 Density: 2.67 gm/cc Survey Date: Jan, 1983 to July 1983 Station Location ® | O i l Field ^0-25 0-73 rmission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. 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Proton Precession Magnetometer (Geometries 6-816) Survey Date: July 1983 to Aug. 1983. Oil Field Declination*. 1*8° Inclination.* 71° 7 — F < m m m m , L7 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. y PLATE VIII N scale .Imile EXPLANATION Contour Interval: 25 gammas 0 Base Station Instrument-. Proton Precession Magnetometer (Geometries G-816) Survey Date: July 1983 to Aug. 1983. Oil Field Declination'. 1-8° Inclination: 71® If* Reproduced with permission of the copyright owner. Further reproduction prohibited without permission Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. ESSEHSfflMSa Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. 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