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l J LOANCOPY 0 CBCIII.Af>"u "9PN SeaCraot t|aposItory Depth-Area-Volume Relationshipsin NarragansettBay
Richard A. Chinrnan Scott VV. Nixon
GraduateSchool of Oceanography TheUniversity of RhodeIsland
NOAA/Sea Grant Marine TechnicalReport 87
May 1985~ 'tNTlfl",I>I SF't I'R NT OE0 PO'.!TORY B~ i4PVb UR, lfif.iT, Ri 02tls. This publication is the result of researchsponsored by NOAA Office of SeaGrant, U,S, Department of Corn- merce, under Grant SNA81AA-D-00073. The U.S. Govern- ment is authorized to produce and distribute reprints for governmental purposesnotwithstandmg any copyright notation that may appear hereon. The cover figure
3 Introduction 58 18d. HypsographicCurve for the Fox Po t R 59 18e, HypsographicCurve for the SahmPoint Rm } 4 lvfethods and Procedures 60 18f, HypsographicCurve for the Nyatt Point R h A. Overview 61 19a, Cumulative Volume of thc Comhmcd S k k B, Digitization and Providence Rivers Below Pawtucket C. Transformation 62 19b. Cumulative Volume of the Scekonk River Be}ow D. Conversion Pawtucket E. Modifications for a More Detailed Analysis 63 19c. Cumulat!ve Volume of the Providence River of the Seekonk and Providencc Rivers Bc}ow Fox Pomt 8 Results
64 References List of Tables
4 1. Hydrographic Survey H!story List of Figures 5 2. Tide RangesBased on a Ten-YearNumerical Mode} {or Newport, R.I. 6 1. Narragansett Bay Elementsand Segments 5 3, Comparison of the Resultsof This Study with au 6 2. Idealized Cross-Sectionof Bay Showing Hypso- Earlier HypsographrcAnalysis by Hicks 959! graphic Components 16 4. Summaryof thc Total Area and Volume, Mean 7 3. Detailed Seekonk and Providence River Elements Depth, and Shoreline Length and Segments 17 5. Estimated Volume of Water Present in Each Element 9 4. Bristol Harbor Contour Maps of the Bay Under Various Tide Conditions 10-15 5a-f, NarragansettBay Contour Maps l9 6a. Area and Volume of the Bay. Including Mount 18 6a. HypsographicCurve for theBay, Including Mount Hope Bayand the SakonnetRiver Hope Bayand the SakonnetRrver 21 6b. Area and Volumeof the Bay, ExcludingMount 20 6b. HypsographicCurve for theBay, Excluding HopeBay and the SakonnetRiver MountHope Bay and the SakonnetRiver 23 6c. Area and Volume of the West Passage 22 6c. HypsographicCurve for the WestPassage 25 6d. Area and Volume of the East Passage 24 6d, HypsographicCurve for theEast Passage 26 7a. Area and Volume of the Prov!dence River iCoarse 26 7a. HypsographicCurve for the ProvidenceRiver Grid Analysis! 27 7b. HypsographrcCurve for theUpper Bay 27 7b. Area and Volume of the Upper Bay 28 7c. HypsographicCurve for Greenwich Bay 28 7c. Area a.nd Volume o{ Grccnwich Bay 29 7d. HypsographicCurve for theUpper West Passage 29 7d. Area and Volume of the Upper West Passage 30 Sa. HypsographicCurve for the Lower West Passage 31 Sa. Area and Volume of the Lower West Passage 32 Sb, HypsographicCurve {ot thc UpperEast Passage 33 Sb. Area and Volumeof the Upper East Passage 34 8c. HypsographicCurve for theMiddle EastPassage 35 8c. Area and Volumeof the Middle East Passage 36 Sd. HypsographicCurve {or theLower East Passage 37 8d. Area and Volume o{ thc Lower East Passage 38 9a. HypsographicCurve for Mount Hope Bay 39 9a. Area and Volume o{ Mount Hope Bay 40 9b. HypsographicCurve for theSakonnct River 41 9b. Area and Volume of the Sakonnet River 42 10. NarragansettBay Cross-Sections and Bathymetric 52 10a. Volume and Cross-Sectional Area of the Provi- Prof}}cs denceRiver, Upper Bay,Greenwich Bay, and the 43 11. Cross-Sections Across Whole Bay West Passage 44 12, Cross-SectionsAcross Mouth of Bay 53 10b. Volume and Cross-Sectional Area of the Provi- 45 13, Cross-SectionsSeparating East and WestPassages denceRiver, Upper Bay.and the EastPassage 46 14, Cross-Sections Across the Mouths of the Provi- 54 10c. Volume and Cross-SectionalArea of Mount Hope denceRrver. Greenwich Bay. and MountHope Bay Bay and the Sakonnet River 47 15. Cross-SectionsAcross the Providence River and 55 1 la, Area and Volume of the Combined Providencc Mount Hope Bay and Scekonk Rivers 48 16. BathymetricProfiles AlongMajor Passages 56 lib. Area and Volume of the Scekonk River 49 17a. Cumulative Percent of the Total Volume of the 57 1 lc. Area and Volume of the Providcncc River Bay,Excluding lvfount Hope Bay and the !Detailed Analysis! Sakonnet River 58 lid. The Area and Volume of the Fox Point Reach 50 17b. Cumulative Percent of the Total Volume of the 59 lie. Area and Volume of the Sabin Point Reach ProvidenceRiver, UpperBay. and WestPassage 60 llf, Area and Volume of the Nyatt Point Reach 51 17c, Cumulative Percent of the Total Volume of the 61 12a Volume and Cmse-SectionalArea of the Comb}ned ProvidenceRiver, Upper Bay, and East Passage Provrdcncc and Scekonk Rivers 55 18a. HypsographicCurve {or the CombinedProvi- 62 12b. Volume and Cross-Sectional Area of the Seekonk dence and Scckonk Rivers River 56 18b. HypsographicCurve for the Scckonk River 63 12c. Volurnc and Cross-Sect}onalArea of the Provi- 57 18c. HypsographicCurve for the ProvidenceRiver denc,e River INTRODUCTION
ln spite of the fact that Narragansett Bay is among sageby a line from Beavertail Point on a headingot the most frequently studied bodies of coastalmarine 284" true to a small unidentified point on the shore water in the world. no detailed hypsographicanalysis of Boston Neck, about halfway between Bonnet Point of the system has yet been published, As part of his and the Narrow River inlet. description of the basic physical oceanographyof the ln a more detailed analysis of the Seekonk River area, SteacyD. Hicks 959! provided a depth-area- and the ProvidenceRiver !Figure 3!. the northern volurne curve for the bay as a whole. but the increas- hmit of the Seekonk is set at the Blackstone River ing intensityof researchand management efforts in- darn at Pawtucket and its southern limit is fixed at volving the bay requiresa more detailed and the Rt. I-195 highway bridge, The ProvidenceRiver extensive treatment. extends from that bridge to a line connecting Nayatt The lack of a hypsographicatlas is a common hand- Point and Conimicut Point. icap for those studying bays, lagoons, and estuaries There is no well-established definition of the bound- around the world, though it may come as a surprise ariesof Narragansett Bay iPilson, 1985!. and it is to those in social sciencesand managementthat such likelythat some will find good reasonto take excep- basic physical informationis absent or inadequate tion to those we have used here, Some of our deci- !Capper, Power,and Shivers, 1983!.The reasonfor sions were arbitrary:others were influenced by the deficiency is that the compilation of hypsographic geography or engineering. information by traditional interpolation and plani- metry is extremelytedious. However,it is possibleto bring togethercertain of the computermapping and graphics programspresently available to develop a relatively simple, rapid. highly flexible, and inexpen- sive analysisof bathymetric or topographicdata. This publication reportsthe resultsof suchan anal- ysis for NarragansettBay, includingbathymetric con- tour charts, the area, volume, incan depth, and shorebnelength for varioussubregions of the bay, cross-sectionalareas in a numberof placesalong the bay, the bathymetncprofiles of transectsalong the passagesof the bay, and the cumulativevolume of the bay as a functionof increasingdistance from various points.After a descriptionof the methods used in the analysis,the results are grouped in the order just describedand presentedin graphicaland tabular form. Although the boundarieswe havechosen for Nar- ragansettBay are shown in Figure1, it maybe helpful to provide a narrativedescription as well. The north- ern lunit is takenas the Rt. I-195 bridgeacross the combined Woonasquatucket-MoshassuckRivers and across the Seekonk River. The Providence River ex- tends into the Pawtuxet River on the west as far as the first dam. The Warren Riveris includedup to the Rt. 103 bridge. In Mount Hope Bay, th» Kickamuit Riveris taken asextending up to LaurelPark, the embaymentsof the Cole and Lee Riversup to their respectivebarrier spits and beaches,and the Taunton River up to the Rt. I-195 bridge,The SakonnetRiver extends from the Hummocks to a line from Sakonnet Point to Sachuest Point, The seaward limit of the East Passageof NarragansettBay is defined by a line from Brenton Point to Beavertail Point, and the West Pas- METHODS AND PROCEDURES
Since there is tidal variation around MLW. a ta.ble A. Overview of tidal rangesis providedin Table2. Whentnulti- Thetechnique for derivinga computer-generatedpltedby bayarea, these values give an estimate of hypsographicanalysis of Narragansett Bayinvolved watervolume changes through a meantide cycle seeTable 5!. We havealso provided a tablethat three major steps: comparesa portion of theHicks hypsographic 1. digitizationof the locationsand depths analysis 959! to our resultsIsec Table 3!. W'edo associatedwith publishedU.S. National Ocean this not to makeany claims as to the correctvalues. Survey bathymetry stations but simplyto showthe similarityin theresults, Our estimateof the total area of NarragansettBay proper 2. transformation of the bathymetry stations from plusMount Hope Bay is about35 km' smaUerthan anirregularly spaced distribution to a uniform, thatgiven by Filson 985!. VirtuallyaU of thiscan regularlyspaced grid be attributed to his inclusion of the Taunton, Palmer. 3, conversionof the resultantgrid to charts,graphs. and BarringtonRivers. cross-sectionalviews, and summarytables and graphs
C. Transformation
8. Digitization Transformationof the irregularlyspaced digitized datato a uniform grid of depthvalues was accom- Usingdata from the Coastand Geodetic Survey plishedusing UIUSYMAP Program URISYMAP, NOAA-NOS Chart ff13221,scale I;40,000. surveys 1984!, a version of SYMAP SYMAF, 1975!. performedbetween 1943 and 1957; sce Table 1! with In general,SYMAF transfotms irregularly spaced revised data from the Army Corpsof Engineers datapoints frotn a sourcemap into a uniform, 979!. some4,500 shoreline points a.nd the location regularlyspaced grid by interpolatingamong the anddepth of approxitnately4,000 irregularly spaced observeddata values. The interpolateddata values bathymetrystations from Narragansett Bay were areweighted averages of the observeddata points. digitizedwith a ScienceAccessories Corporation with theweighting based on thc inverse square of Graf/Pensonic digitizer, Model GP6-50.Each ba- the distancefrom the observedpoints. The resulting thymetrystation was assigned a depth value to the gridof o~ andinterpolated pomts is cotnposed nearest0,1 meter! referencedto mean low water MLW!,and an x-y coordinate to the nearest0.5 of individual ceUs of unit area, The shoreline locations on the source map were millimeter!,On average,there werc 12 bathymetry usedas the boundaryof the digitizedarea IA- stationsfor every km' on the sourcemap. OUTLINE of SYMAP!,and as additionalbathym- etrystations by assigningto thema depthof 0 meters.The x-ycoordinate and depth values for eachbathymetry station were entered in th» B-DATA Table 1. Hydrographicsurvey histoty. and E-VALUES sections.respectively, with irnper- meablebarriers designated in the D-BARRERS Element Survey Date s! section!at prominentpeninsufas and islandsto pre- ventinterpolation through the land mass, Several 1956 I critical SYMAP electives in the I:-MAP ~! were 1956 1956 effectedto producean output map with a 1:1rela- l 944 and 1956 tionshipto thesource map Elective13! and an out- 1944 and 1956 and 1957 putof theinterpolated grid Elective 21! in which 2468 19573579 eachdepth value was computed indepcndcntly for 1943 an
'The irregu!ar metric depths result from the conversionof ccfutva- From. Swansonand Spau!ding i19>7. 19S4! lent English units used in the Hicks study 959!. ceUin the grid. Volume.being the productof the idealized bay in Figure 2. For simplicity. the sche- cell unit areaand depth. wasthat amountof water matic is divided into 0.5 meter depth intervals. but above the floor of the bay within the individual our analysis was performed on 0.1 meter intervals, cell,Using these values, depth-area-volume relation- Vote that this bay has a dredged channel as does shipswere developed with the aid of a computer NarragansettBay and that the sidesand floor are prograin.The schematic components of our hypso- perpendicular,We have also assumed the sides and graphicanalysis are shown for a cross-sectionof an floor of NarragansettBay to be perpendicular,Based on this assumption, the value of the cell unit area representedonly the projectedbottom areaand did not include any additional area due to the sloping bay floor. Nevertheless,there wasless than 0.005@; error in evaluating the incan bottom slope as a flat projection.
Calculation of Areas The area of the idealized bay see Figure 2 with a bottom depth between0 and 1 meteris the project- 10 ed surface area of Box A. Likewise. the area of the bay with a bottombetween 1 and 2 metersis the area of Box E, and so on. Any area associated with a specifieddepth or depth interval wassimilarly cal- l5 culated. Thus. the area of the bay with a bottoin deeperthan 0 metersis the bottomarea of theentire bay,A+E+H+L equalto the areaof A~ B+Ci D!. The area of the bottom which is deeper than 1 meter 20 includes the area of E+H+L. There is no bay floor between 3 and 4 meters; thus, this area = 0 m' and the areaof the baydeeper than 3 metersis equalto that of the baydeeper than 4 meters.Area calcula- 25 tions were performedby countingthe numberof cellschosen by the depth selectioncriteria and multi- plyingthe countby theunit area,An example of the grid of individualcells from which all areaand 30 volume estimateswere made is shownin a detail of BristolHarbor Figure4!.
o 2 s Z Figure 1 .Narragansett Bay elements and segments. Elementl. ProvidenceRiver, Element2. Upper Bay: Element3, GreenwichLiy, Element 4. Upper WestPassage; Element3, LowerWest Passage; Element S, Upper East Passage:Element 7, MiddleEast Passage. Element 8, LowerEast Passage; Element 9, MountHope Bay; Element 10, Sakonnet River.! Boundaries between the nuinbered spatialelements are shown in hcavylines. Latitudinal segmentsare delineatedby light horizontallines and are Figure2. idealizedcross-section of bay showing hypso- numbered along the left margin. graphicccomponents. Calculation of Volumes After calculatingthe areaof the bay and various partsof the bay within each 1 meterdepth interval, we proceeded to estimate the volume of water con- tained within each of the depth intervals. Such an exerciseis not as simpleas it mayfirst appear,since multiplicationof the areaand depth information directly availablein the computeryields only the volumeof waterabove an areaof specifieddepth. It would not includewater within the depth interval that lay overa deeperfloor. Forexample, in Figure 2 thevolume of waterin the 1-2meter depth inter- val is the combined volumes of E+ F+ G, but the multiplication of the bottom area between 1-2 meters and depth lto the nearestO.l meter! givesthe vol- umeof B~E.The situation is furthercomplicated by the large size of the data set, Thesolution to thisproblem may best be explained by example.In thecase of the 1-2meter depth in- tervaldiscussed above, the procedurewas to take the area below 1 meter 1- areaof E+H+L!, subtract the 1-2meter depth interval area iE!, andmultiply the areaof H+L by 1 meterto get the volumeof F+G. The productaf the area ot the 1-2 meter 10 depth interval and depth lin 0.1 meter increments! gavethe volumeof B+E, Thevolume of B issimply thearea of the 1-2ineter depth increment multiplied by the depth of water lying on top of the interval !in this case I meter! and can easily be subtracted. 12 The volume of E was then added to the volume of F+G to give the total volume of water between 13 I and 2 meters,A specialsubroutine was developed to handle the situation where there was no bottom 14 areain a givendepth interval. as in BoxK in Figure 2. Other solutionsto the problemof voluinecalcu- lation were possible,such as a subroutine to search for and recognizethe part of a cell'svolume that occurred in a particular interval, but such a solution would haverequired greater computer time and cost. Thoughour computerprocedure is cumber- someto describe,it wasfast and inexpensiveto run. '17 Graphicswere generated by the GCONTOURand GPLOT proceduresin SAS/GRAPH1198I!,
Figure 3. Detailed Seekonkand ProvidenceRiver elements and segments.IEIemenr 1, SeekonkRiver: Element 2, Fox Point Reach;Element 3. Sabin Point Reach;Element 4. ~VyattPoint Reach,!Boundaries between the numbered spanalelements are shown in heavylines, Latitudinal segmentsare delineated by light horizontal lines and are numberedalong the left margin. RESULTS
E. Modificationsfor a More Detailed Analysis Using a computer to generatea hypsographic of the Seekonk and Providence Rivers analysisof Narragansett Bay permitted the presen- tation of results in a variety of formats. The data Becausethe relativelysmall but heavily developed arepresented here as charts, graphs, tables, and Seekonkand ProvidenceRivers are of specialinterest cross-sections.Because it may be useful to have the to manypeople, a secondhypsographic analysis was same information presented in different degreesof performedon theseareas Element I in thegeneral detail, someresults are presentedin both graphical NarragansettBay analysis plus the Seekonk. which and tabular form. The results themselves are self- was not included in the total bay calculations!.using explanatorywith the aid of figureand table legends, a finerscale source map NOAA-NOSChart !f13224, scaleI:20,000! with more bathymetrystations ,200 shorelinelocations plus 900 bathymetrystations; see Figure3!, Therewere. on average,37 bathymetry stationsper km'. In addition, an increasedSYMAP scale Elective13! was implemented which called for two units on the outputmap for everyone unit on the sourcemap. Recalculated volume results for the ProvidenceRiver were expectedto differ some- what from those of the initial procedure,since a largernumber of bathymetrystations !especially near the shoreline! was available, It was also inter- estingto seeif theresolution of the initial procedure was fine enough cell size 101,6by 127.0 meters!to providean areaestimate that would not differ sig- nificantlyfrom a.re-analysis using a smallercell size and, thus, higher resolution,The re-analysiswas performedusing a gridof approximately30,000 cells, each cell 25.4 by 31.75 meters,with the en- suingcell density 16 times greaterthan in the origi- nal analysis. In everyother aspect. the Providence.River re- analysiswas performed identically to that of Narra- gansettBay, 4 EI QL03 I O '0 Q vl CQS S AO mu 4 ed ce SSOC Ul& 4 8 ~ El Ig C M CIA Z S t4 bbu S EICCCNC SMM QM tg 43CUsj< UQw CWE!3 ~Vt4C&4 0 U S4mS < Su'0 P,w 4J4S Slg 9 C'00M S 4J 4 '004 %04 0 0 Vt 4J IE 4wmm S M 3S mmSS 5 U NW M'0 O' W l5 Sww Cw P CSS CWIKSUA o 3 S'0 Sa Q. '0w 3 S'0 lEW 4QSSBWSMMN QA SAU4JQM 34 4 S SW C MOB R kJA Q 3 Ul SCHLOCK MSUlS MSEow 0 AtOCS 4N 4~ 4'0 Cl C ONCE 4 o~QVS QH S 00 Uld03&w gw AS S WW ~ 4S4 S6'00&S AO lO'0 WW gwHS S4J OmQ C 4 0~4w 0 C40 QSC t7 MA OOOO S C W Vi C W '0 Q OC4OXW Z0O Q g 0 S rn 4SOS30
8 '0 u 4 C SA O4 ~ 4J44DO 4JSMH gH SQo&30 85W 4 cn S e EI e S fO OS BS4w ~MM~ S ~R EI td &i m C WC40! CO S01 12 Figure 5d, NarragansettBay contour map. The l0-20 m depth interval is shown in blue Figure5e. NarragansettBay contour map. The20-30 m depthinterval is shown m blue. Figure 5f. Narragansett Baycontour map. The 30-40 m depth interva! is shown in blue, The white area surrounded by the blue contour is deeperthan 40 rn, 15 Table 4. Summary of the total area and volume, mean depth, and shoreline length. Since the area and volume values are referenced to mean low water NLW!, we have provided another table see Table 5! with the approximate volume of the elements under various tide conditions assuming constant area. Nean Shoreline Geographical Area Volume Depth Length Region km'! m'xlo'! m! km! Narragansett Bay Elements 1-10! 341.715 2673,080 7. 82 412, 5 Narragansett Bay, Excludfng Nt. Hope Bay and Sakonnet Rfver Elements 1-8! 255 548 2139.847 8.37 299.5 West Passage Elements 4-5! 95.858 634.703 6. 62 91,8 East Passage Elements 6-8! 83.484 1128,288 13.52 104.6 Provfdence River Element 1! 21. 277 110.935 5,21 42.2 U r Bay Fement2! 43.290 241.323 5.57 33.7 Greenvich Bay Element 3! 11.639 24.599 2.11 27.1 Vpper West Passage Klement 4! 77.922 474.534 6.09 63.6 Lover West Passage Element 5! 17.935 160.169 8.93 28.2 Upper East Passage Element 6! 23. 806 174.551 7. 33 30.9 Niddle East Passage Element 7! 34.335 479.391 13.96 28.7 Lower East Passage Element 8! 25.342 474.342 18. 72 45.0 Nount Hope Bay Element 9! 35.200 201.699 5. 73 46. 2 Sakonnet Rfver Element 10! 50.968 331.537 6 50 66,8 v Seekonk. Rfver Element 1! 2,806 3.631 1.29 18.0 Providence River Elements 2-4! 21.322 85.100 3.99 57.7 Fox Point Reach Element 2! 3.000 21.095 7,03 18.3 Sabin Point Reach Element 3! 8.535 28.926 3.39 19. 3 Hyatt Point Reach Element 4! 9.786 35.079 3.58 20.1 See Figure l. t See Figure 3. l6 0 e ar 00OOQe