Mapping Stress and Structurally Controlled Crustal Shear Velocity Anisotropy in California

Total Page:16

File Type:pdf, Size:1020Kb

Mapping Stress and Structurally Controlled Crustal Shear Velocity Anisotropy in California Mapping stress and structurally controlled crustal shear velocity anisotropy in California Naomi L. Boness* ⎤ ⎥ Department of Geophysics, Stanford University, Stanford, California 94305, USA Mark D. Zoback ⎦ ABSTRACT earthquakes recorded on three-component We present shear velocity anisotropy data from crustal earthquakes in California and seismic stations; the procedure minimizes the demonstrate that it is often possible to discriminate structural anisotropy (polarization of scatter in the data and, with careful consider- the shear waves along the fabric of major active faults) from stress-induced anisotropy ation of ray paths and local geology, allows (polarization parallel to the maximum horizontal compressive stress). Stress directions interpretation of the observed anisotropy as from seismic stations located near (but not on) the San Andreas fault indicate that the stress induced or structural. For each station, maximum horizontal compressive stress is at a high angle to the strike of the fault. In we search the earthquake catalog for events contrast, seismic stations located directly on one of the major faults indicate that shear that are above 20 km depth and located within deformation has significantly altered the elastic properties of the crust, inducing shear- a cone under the station up to a maximum wave polarizations parallel to the fault plane. incidence angle of 40Њ within the S-wave win- dow (Nuttli, 1961; Booth and Crampin, 1985). Keywords: crustal stress, seismic anisotropy, San Andreas fault. We filter each event with a low limit of 1 Hz and a high limit between 10 and 25 Hz (cho- INTRODUCTION 2004), aligned macroscopic fractures associ- sen to be 5 Hz above the dominant S-wave It has been known for the past 25 yr that ated with regional tectonics (Mueller, 1991), frequency) to remove high-frequency noise carefully used earthquake, well-bore, and geo- sedimentary bedding planes (Alford, 1986), without degrading the waveforms. We only logic data can be used to map the direction and the alignment of minerals or grains (Say- use data with a signal-to-noise ratio Ͼ3:1 and relative magnitude of in situ horizontal ers, 1994). These mechanisms can be divided (amplitude of initial S-waves relative to pre– principal stresses in the Earth’s crust (Zoback into two major categories: stress-induced and S-wave coda) and visually inspect each seis- and Zoback, 1980, 1991; Zoback, 1992), and structural anisotropy (Fig. 1). Stress-induced mogram and the corresponding particle mo- tion to establish if the S-wave arrivals are a global database of more than 10,000 crustal shear anisotropy is the result of SHmax causing stress indicators, the World Stress Map,is microcracks to open and/or preexisting mac- impulsive enough to be picked with confi- now available (Zoback et al., 1989; Reinecker roscopic fractures to close, generating a fast dence. We use the two horizontal components to determine the anisotropy between the S- et al., 2005). direction parallel to SHmax. Stress-induced an- In this paper we present shear velocity an- isotropy is observed in the upper crust and the waves because we expect vertically propagat- isotropy data from local earthquake sources as effect decreases with depth as the confining ing waves within the S-wave window. an independent tool to analyze the state of pressure increases, closing fractures in all ori- We measure the S-wave splitting of each stress close to active faults on a regional scale entations. Borehole measurements indicate event that satisfies our quality criteria using a and in geographic regions where other types that anisotropy is largest in the near surface, technique that combines covariance matrix de- of stress measurements are lacking. We use with values of ϳ10% (e.g., Aster and Shearer, composition (Silver and Chan, 1991) with data from the Southern California Seismic 1991; Boness and Zoback, 2004; Liu et al., cross-correlation (Bowman and Ando, 1987). Network and Northern California Seismic 2004), and decreases with depth. However, ev- The covariance matrix of the horizontal S- Network, with an emphasis on Southern Cal- idence suggests anisotropy is still Ͼ3% in the wave particle motion is rotated over azimuths ifornia. Western California is a good place to granitic rocks in California at a depth of 3 km of Ϫ90Њ to ϩ90Њ in increments of 1Њ and over demonstrate this method because there are (Boness and Zoback, 2005). Structural aniso- delay times of 0–50 ms in increments of the many independent stress measurements, the tropy occurs when macroscopic features such sampling frequency. The fast direction and de- tectonic structures are well documented, and as fault-zone fabric, sedimentary bedding lay time that best linearize the particle motion are determined by minimizing the second ei- the direction of SHmax is, in general, at a high planes, or aligned minerals and/or grains po- angle to the faults, allowing us to differentiate larize the S-waves with a fast direction in the between the two mechanisms (e.g., Zinke and plane of the feature. With knowledge of the Zoback, 2000). structural elements in a region, including ma- Numerous examples of seismic anisotropy jor faults, it is possible to determine whether in the upper crust have been documented in anisotropy is caused by stress, structure, or a the literature over the past 25 yr since it was combination of both mechanisms (Zinke and first observed using microearthquakes (Cram- Zoback, 2000). In this paper we focus on the pin et al., 1980). The mechanisms that cause fast polarizations of the S-waves, because they shear waves (S-waves) to split into a fast and are mostly dependent on the last anisotropic slow component include dilatancy of micro- medium the wave passes through (e.g., Cram- Figure 1. Schematic illustrating stress- cracks due to stress (Crampin, 1991), prefer- pin, 1991) and more robust than the delay induced anisotropy in crust adjacent to fault ential closure of macroscopic fractures in an time. zone, where vertically propagating shear anisotropic stress field (Boness and Zoback, waves are polarized with fast direction par- allel to SHmax due to preferential closure of METHODOLOGY fractures (dashed lines), and structural an- *Present address: Chevron, 6001 Bollinger Can- We have devised a quality control proce- isotropy of shear waves inside fault zone yon Road, San Ramon, California 94583. dure to measure S-wave splitting using micro- with fast direction parallel to fault fabric. ᭧ 2006 Geological Society of America. For permission to copy, contact Copyright Permissions, GSA, or [email protected]. Geology; October 2006; v. 34; no. 10; p. 825–828; doi: 10.1130/G22309.1; 3 figures; Data Repository item 2006180. 825 genvalue, and we compute the degree of rec- tilinearity (Jurkevics, 1988) from the ratio of the two nonzero eigenvalues. We only include measurements with a degree of linearity Ͼ0.8 (1 being perfectly linear). We use the maxi- mum cross-correlation coefficient of the rotat- ed waveforms to confirm that the seismograms have been rotated into the fast and slow po- larization directions and discard any measure- ment with a cross-correlation coefficient Ͻ0.8. After the fast shear polarizations have been determined for all earthquakes at a given sta- tion, we compute the mean orientation of the fast S-waves using Fisher statistics (Fisher et al., 1987). If the azimuthal standard deviation is Ͻ20Њ, we believe that the fast direction is well constrained and probably contains valu- able information about either stress or struc- ture. In contrast, standard deviations Ͼ20Њ probably indicate that a mix of mechanisms (e.g., Peng and Ben-Zion, 2004), scattering (e.g., Aster et al., 1990), or complicated local geology (e.g., Aster and Shearer, 1992) is causing the anisotropy. RESULTS We apply this method to data from 86 three- component stations and achieve a well-defined mean fast direction with a standard deviation of Ͻ20Њ at 62 stations (Fig. 2). The 10 stations shown in red exhibit a mean fast direction that is within 20Њ of the local San Andreas fault (SAF) strike (and other nearby major subpar- Figure 2. Map of California showing mean fast shear polarizations at stations with stan- ؇ allel faults). The red rose diagrams in Figure dard deviation <20 . Red stations exhibit fast polarization that is subparallel to San Andreas fault and are typically located along main fault trace. Corresponding red rose diagrams 2 are the individual S-wave splitting measure- show measurements of fast polarization observed at each of these stations with adjacent ments used to compute the mean at each of numbers indicating number of good quality measurements out of total number of earth- those stations (see GSA Data Repository Ta- quakes analyzed. Blue stations exhibit fast shear polarizations parallel to direction of SHmax ble DR11). The numbers associated with each (in black) determined from focal mechanism inversions (sticks) and borehole breakouts bowties). Stations where fast azimuth standard deviation is >20؇ (yellow diamonds) indicate) rose diagram indicate the number of good mix of mechanisms or scattering. Data for three white stations showing (a) stress, (b) struc- measurements that complied with our quality tural, and (c) mixed anisotropy are displayed in Figure 3. control criteria out of the total number of earthquakes analyzed. Similarly, the blue sta- tions and rose diagrams indicate stations with sistent with the direction of SHmax obtained northwest of Parkfield that shows structural mean fast directions that are at an angle Ͼ20Њ from focal mechanism inversions and well- anisotropy (Fig. 3B), the earthquakes are al- to the SAF. bore breakouts (data shown are from Townend most directly beneath the station and most are Nearly all of the stations exhibiting a mean and Zoback, 2004). There are a few stations relatively shallow (5–8 km). One station that fast direction subparallel to the structural fab- located on major faults like the San Jacinto shows the mixed effects of structural and ric are located on the SAF.
Recommended publications
  • Global Mantle Flow and the Development of Seismic Anisotropy: Differences Between the Oceanic and Continental Upper Mantle Clinton P
    Global Mantle Flow and the Development of Seismic Anisotropy: Differences Between the Oceanic and Continental Upper Mantle Clinton P. Conrad Department of Earth and Planetary Sciences Johns Hopkins University Baltimore, MD 21218, USA Mark D. Behn Department of Geology and Geophysics Woods Hole Oceanographic Institution Woods Hole, MA 02543, USA Paul G. Silver Department of Terrestrial Magnetism Carnegie Institution of Washington Washington, DC 20015, USA Submitted to Journal of Geophysical Research : July 3, 2006 Viscous shear in the asthenosphere accommodates relative motion between the Earth’s surface plates and underlying mantle, generating lattice-preferred orientation (LPO) in olivine aggregates and a seismically anisotropic fabric. Because this fabric develops with the evolving mantle flow field, observations of seismic anisotropy directly constrain flow patterns if the contribution of lithospheric fossil anisotropy is small. We use global viscous mantle flow models to characterize the relationship between asthenospheric deformation and LPO, and constrain the asthenospheric contribution to anisotropy using a global compilation of observed shear-wave splitting measurements. For asthenosphere >500 km from plate boundaries, simple shear rotates the LPO toward the infinite strain axis (ISA, the LPO after infinite deformation) faster than the ISA changes along flow lines. Thus, we expect ISA to approximate LPO throughout most of the asthenosphere, greatly simplifying LPO predictions because strain integration along flow lines is unnecessary. Approximating LPO ~ISA and assuming A-type fabric (olivine a-axis parallel to ISA), we find that mantle flow driven by both plate motions and mantle density heterogeneity successfully predicts oceanic anisotropy (average misfit = 12º). Continental anisotropy is less well fit (average misfit = 39º), but lateral variations in lithospheric thickness improve the fit in some continental areas.
    [Show full text]
  • Seismic Anisotropy: a Review of Studies by Japanese Researchers
    J. Phys. Earth, 43, 301-319, 1995 Seismic Anisotropy: A Review of Studies by Japanese Researchers Satoshi Kaneshima Departmentof Earth and Planetary Physics, Faculty of Science, The Universityof Tokyo, Bunkyo-ku,Tokyo 113,Japan 1. Preface Studies on seismic anisotropy in Japan began in the mid 60's, nearly at the same time its importance for geodynamicswas revealed by Hess (1964). Work in the 60's and 70's consisted mainly of studies of the theoretical and/or observational aspects of seismic surface waves. The latter half of the 70' and the 80's, on the other hand, may be characterized as being rich in body wave observations. Elastic wave propagation in anisotropic media is currently under extensiveresearch in exploration seismologyin the U.S. and Europe. Numerous laboratory experiments in the fields of mineral physics and rock mechanics have been performed throughout these decades. This article gives a review of research concerning seismic anisotropy by Japanese authors. Studies by foreign authors are also referred to whenever they are considered to be essential in the context of this article. The review is divided into five sections which deal with: (1) laboratory measurements of elastic anisotropy of rocks or minerals, (2) papers on rock deformation and the origin of seismic anisotropy relevant to tectonics and geodynarnics,(3) theoretical studies on the Earth's free oscillations, (4) theory and observations for surface waves, and (5) body wave studies. Added at the end of this article is a brief outlook on some current topics on seismic anisotropy as well as future problems to be solved.
    [Show full text]
  • The Upper Mantle and Transition Zone
    The Upper Mantle and Transition Zone Daniel J. Frost* DOI: 10.2113/GSELEMENTS.4.3.171 he upper mantle is the source of almost all magmas. It contains major body wave velocity structure, such as PREM (preliminary reference transitions in rheological and thermal behaviour that control the character Earth model) (e.g. Dziewonski and Tof plate tectonics and the style of mantle dynamics. Essential parameters Anderson 1981). in any model to describe these phenomena are the mantle’s compositional The transition zone, between 410 and thermal structure. Most samples of the mantle come from the lithosphere. and 660 km, is an excellent region Although the composition of the underlying asthenospheric mantle can be to perform such a comparison estimated, this is made difficult by the fact that this part of the mantle partially because it is free of the complex thermal and chemical structure melts and differentiates before samples ever reach the surface. The composition imparted on the shallow mantle by and conditions in the mantle at depths significantly below the lithosphere must the lithosphere and melting be interpreted from geophysical observations combined with experimental processes. It contains a number of seismic discontinuities—sharp jumps data on mineral and rock properties. Fortunately, the transition zone, which in seismic velocity, that are gener- extends from approximately 410 to 660 km, has a number of characteristic ally accepted to arise from mineral globally observed seismic properties that should ultimately place essential phase transformations (Agee 1998). These discontinuities have certain constraints on the compositional and thermal state of the mantle. features that correlate directly with characteristics of the mineral trans- KEYWORDS: seismic discontinuity, phase transformation, pyrolite, wadsleyite, ringwoodite formations, such as the proportions of the transforming minerals and the temperature at the discontinu- INTRODUCTION ity.
    [Show full text]
  • Radial Seismic Anisotropy As a Constraint for Upper Mantle Rheology ⁎ Thorsten W
    Available online at www.sciencedirect.com Earth and Planetary Science Letters 267 (2008) 213–227 www.elsevier.com/locate/epsl Radial seismic anisotropy as a constraint for upper mantle rheology ⁎ Thorsten W. Becker a, , Bogdan Kustowski b, Göran Ekström c a Department of Earth Sciences, University of Southern California, Los Angeles, CA, USA b Department of Earth and Planetary Sciences, Harvard University, Cambridge MA, USA c Department of Earth and Environmental Sciences, Lamont-Doherty Earth Observatory, Palisades, NY, USA Received 26 July 2007; received in revised form 9 November 2007; accepted 22 November 2007 Available online 8 December 2007 Editor: R.D. van der Hilst Abstract Seismic shear waves that are polarized horizontally (SH) generally travel faster in the upper mantle than those that are polarized vertically (SV), and deformation of rocks under dislocation creep has been invoked to explain such radial anisotropy. Convective flow of the upper mantle may thus be constrained by modeling the textures that progressively form by lattice-preferred orientation (LPO) of intrinsically anisotropic grains. While azimuthal anisotropy has been studied in detail, the radial kind has previously only been considered in semi-quantitative models. Here, we show that radial anisotropy averages as well as radial and azimuthal anomaly-patterns can be explained to a large extent by mantle flow, if lateral viscosity variations are taken into account. We construct a geodynamic reference model which includes LPO formation based on mineral physics and flow computed using laboratory-derived olivine rheology. Previously identified anomalous vSV regions beneath the East Pacific Rise and relatively fast vSH regions within the Pacific basin at ~150 km depth can be linked to mantle upwellings and shearing in the asthenosphere, respectively.
    [Show full text]
  • No.294 "Flow and Seismic Anisotropy in the Mantle Transition Zone: Shear
    第294回ジオダイナミクスセミナー Deformation of olivine and implicationsfor the dynamics of Earth’s upper mantle Speaker:Tomohiro Ohuchi (Postdoctral Fellow, GRC) 主催:愛媛大学地球深部ダイナミクス研究センター 日時:4/22(金)午後 4時30分~ Abstract 場所:総合研究棟4F 共通会議室 Crystallographic preferred orientation (CPO) of olivine, which is developed by dislocation creep, controls the seismic anisotropy in the upper mantle. One of the remarkable observations on the upper mantle near subduction zones is a striking rotation of fast direction of shear-wave splitting across an arc. Trench-normal fast directions are observed in the back-arc side, but trench-parallel ones are observed in the fore-arc side (e.g, Smith et al., 2001; Nakajima and Hasegawa, 2004). The rotation of fast direction of shear-wave splitting has been attributed to the transition of mantle-flow direction from trench-normal flow (in the back-arc side) to trench-parallel flow (in the fore-arc side) under the assumption that the A-type olivine fabric (developed by the (010)[100] slip system), which has a seismic fast-axis orientation subparallel to the shear direction, is assumed to be the unique cause of seismic anisotropy (e.g., Russo and Silver, 1994). However, this model is not fully supported by other observations such as geodetic observations. Recent laboratory results have shown that the flow-parallel shear wave splitting is caused not only by A- type olivine fabric but also by C- (developed by the (100)[001] slip system) and E-type (by the (001)[100] slip system) olivine fabrics (Jung and Karato, 2001; Katayama et al., 2004). Moreover, flow-perpendicular shear wave splitting is also found to be caused by the B-type olivine fabric (developed by the (010)[001] slip system) (Jung and Karato, 2001).
    [Show full text]
  • Chapter 20. Fabric of the Mantle
    Chapter 20 Fabric of the mantle A nisotropy this edition. There was a very large section on anisotropy since it was a relatively new concept And perpendicular now and now to seismologists. There was also a large section devoted to the then-novel thesis that seismic transverse, Pierce the dark soil and as velocities were not independent of frequency, they pierce and pass Make bare the and that anelasticity had to be allowed for in esti­ secrets of the Earth's deep heart. mates of mantle temperatures. Earth scientists no longer need to be convinced that anisotropy Shelley, Prometheus Unbound and anelasticity are essential elements in Earth physics, but there may still be artifacts in tomo­ Anisotropy is responsible for large variations in graphic models or in estimates of errors that seismic velocities; changes in the orientation of are caused by anisotropy. At the time of the mantle minerals, or in the direction of seismic first edition of this book - 1989 - the Earth waves, cause larger changes in velocity than can was usually assumed to be perfectly elastic and be accounted for by changes in temperature, isotropic to the propagation of seismic waves. composition or mineralogy. Plate-tectonic pro­ These assumptions were made for mathemati­ cesses, and gravity, create a fabric in the mantle. cal and operational convenience. The fact that Anisotropy can be microscopic - orientation of a large body of seismic data can be satisfacto­ crystals - or macroscopic - large-scale lamina­ rily modeled with these assumptions does not tions or oriented slabs and dikes. Discussions of prove that the Earth is isotropic or perfectly velocity gradients, both radial and lateral, and elastic.
    [Show full text]
  • Discovery of Post-Perovskite and New Views on the Core–Mantle Boundary Region
    Discovery of Post-Perovskite and New Views on the Core–Mantle Boundary Region Kei Hirose1 and Thorne Lay2 DOI: 10.2113/GSELEMENTS.4.3.183 phase transition of MgSiO3 perovskite, the most abundant component the core and by mantle convection should exist in the boundary layer. of the lower mantle, to a higher-pressure form called post-perovskite Chemical heterogeneity is likely to Awas recently discovered for pressure and temperature conditions in the exist in the boundary layer as a vicinity of the Earth’s core–mantle boundary. This discovery has profound result of ancient residues of mantle implications for the chemical, thermal, and dynamical structure of the lowermost differentiation and/or subsequent contributions from deep subduction mantle called the D” region. Several major seismological characteristics of the of oceanic lithosphere, partial melt- D” region can now be explained by the presence of post-perovskite, and the ing in the ultralow-velocity zone specific properties of the phase transition provide the first direct constraints on (ULVZ) just above the core–mantle boundary (CMB), and core–mantle absolute temperature and temperature gradients in the lowermost mantle. chemical reactions. The current Here we discuss the current understanding of the core–mantle boundary region. understanding of D” resulting from recent progress in characterizing KEYWORDS: post-perovskite, phase transition, D” layer, seismic discontinuity this region is reviewed below. INTRODUCTION DISCOVERY OF THE POST-PEROVSKITE Large anomalies in seismic wave velocities have long been PHASE TRANSITION observed in the deepest several hundred kilometers of the For several decades, MgSiO3 perovskite has been recognized mantle (the D” region) (see Lay and Garnero 2007) (FIG.
    [Show full text]
  • A Natural Template for Seismic Anisotropy in Subduction Wedges, Geophys
    PUBLICATIONS Geophysical Research Letters RESEARCH LETTER The Ronda peridotite (Spain): A natural template 10.1002/2014GL062547 for seismic anisotropy in subduction wedges Key Points: Jacques Précigout1 and Bjarne S. G. Almqvist2 • Origin of seismic anisotropy and inferred mantle dynamics in 1Institut des Sciences de la Terre d’Orléans, UMR-CNRS 7327, Université d’Orléans, Orléans, France, 2Department of Earth subduction zones • Natural documentation of olivine Sciences, Uppsala University, Uppsala, Sweden fabric across a paleolithosphere • Transitional olivine fabric as source for shear wave splitting in mantle wedges Abstract The origin of seismic anisotropy in mantle wedges remains elusive. Here we provide documentation of shear wave anisotropy (AVs) inferred from mineral fabric across a lithosphere-scale vestige of deformed Supporting Information: mantle wedge in the Ronda peridotite. As predicted for most subduction wedges, this natural case • Figures S1 and S2 exposes a transition from A-type to B-type olivine fabric that occurs with decreasing temperature and enhanced grain boundary sliding at the expense of dislocation creep. We show that B-type fabric AVs Correspondence to: (maximum of 6%) does not support geophysical observations and modeling, which requires 8% AVs. J. Précigout, – [email protected] However, an observed transitional olivine fabric (A/B) develops at intermediate temperatures (800 1000°C) and can generate AVs ≥ 8%. We predict that the A/B-type fabric can account for shear wave splitting in contrasting subduction settings, exemplified by the Ryukyu and Honshu subduction wedges. The Ronda Citation: Précigout, J., and B. S. G. Almqvist peridotite therefore serves as a natural template to decipher the mantle wedge deformation from seismic (2014), The Ronda peridotite (Spain): anisotropy.
    [Show full text]
  • Waveform Modeling of Shear Wave Splitting from Anisotropic Models in Iceland
    Article Volume 13, Number 12 6 December 2012 Q12001, doi:10.1029/2012GC004369 ISSN: 1525-2027 Waveform modeling of shear wave splitting from anisotropic models in Iceland Yuanyuan V. Fu Department of Earth and Atmospheric Sciences, University of Houston, Houston, Texas 77204, USA Now at Institute of Earthquake Science, China Earthquake Administration, Beijing 100036, China ( [email protected]) Aibing Li Department of Earth and Atmospheric Sciences, University of Houston, Houston, Texas 77204, USA Garrett Ito Department of Geology and Geophysics, School of Ocean and Earth Science and Technology, University of Hawai‘iatMānoa, Honolulu, Hawai‘i 96822, USA Shu-Huei Hung Department of Geosciences, National Taiwan University, Taipei 10617, Taiwan [1] No quantitative model of seismic anisotropy beneath Iceland has yet explained the observed shear wave splitting results in Iceland. In this study we explore the structure of mantle seismic anisotropy associated with plume ridge interaction beneath Iceland by modeling synthetic waveforms using a pseudo-spectral method. First, predicted SKS waveforms are shown to produce shear wave splitting results for two anisotropic layers that are in generally agreement with analytic solutions. Next, simple models in which anisotropy are imposed at different depths and geographic regions around Iceland are used to examine different hypoth- esized effects of plume-ridge interaction. The model that is designed to represent crystallographic fabric due to mantle deformation associated with lithosphere spreading in western Iceland and along-axis, chan- neled asthenospheric flow in eastern Iceland can predict the distinct shear wave splitting observations on the east and west sides of the island. Last, we analyze geodynamic models that simulate 3-D mantle flow and evolution of mineral fabric.
    [Show full text]
  • How Are Vertical Shear Wave Splitting Measurements Affected by Variations in the Orientation of Azimuthal Anisotropy with Depth?
    Geophys. J. Int. (2000) 141, 374–390 How are vertical shear wave splitting measurements affected by variations in the orientation of azimuthal anisotropy with depth? Rebecca L. Saltzer, James B. Gaherty* and Thomas. H. Jordan Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of T echnology, Cambridge, MA 02139, USA. E-mail: [email protected] Accepted 1999 December 1. Received 1999 November 22; in original form 1999 May 20 SUMMARY Splitting measurements of teleseismic shear waves, such as SKS, have been used to estimate the amount and direction of upper mantle anisotropy worldwide. These measurements are usually made by approximating the anisotropic regions as a single, homogeneous layer and searching for an apparent fast direction (w˜) and an apparent splitting time (Dt˜) by minimizing the energy on the transverse component of the back- projected seismogram. In this paper, we examine the validity of this assumption. In particular, we use synthetic seismograms to explore how a vertically varying anisotropic medium affects shear wave splitting measurements. We find that weak heterogeneity causes observable effects, such as frequency dependence of the apparent splitting parameters. These variations can be used, in principle, to map out the vertical variations in anisotropy with depth through the use of Fre´chet kernels, which we derive using perturbation theory. In addition, we find that measurements made in typical frequency bands produce an apparent orientation direction that is consistently different from the average of the medium and weighted towards the orientation of the anisotropy in the upper portions of the model. This tendency of the measurements to mimic the anisotropy at the top part of the medium may explain why shear wave splitting measurements tend to be correlated with surface geology.
    [Show full text]
  • PDF (Chapter 15. Anisotropy)
    Theory of the Earth Don L. Anderson Chapter 15. Anisotropy Boston: Blackwell Scientific Publications, c1989 Copyright transferred to the author September 2, 1998. You are granted permission for individual, educational, research and noncommercial reproduction, distribution, display and performance of this work in any format. Recommended citation: Anderson, Don L. Theory of the Earth. Boston: Blackwell Scientific Publications, 1989. http://resolver.caltech.edu/CaltechBOOK:1989.001 A scanned image of the entire book may be found at the following persistent URL: http://resolver.caltech.edu/CaltechBook:1989.001 Abstract: Anisotropy is responsible for the largest variations in seismic velocities; changes in the preferred orientation of mantle minerals, or in the direction of seismic waves, cause larger changes in velocity than can be accounted for by changes in temperature, composition or mineralogy. Therefore, discussions of velocity gradients, both radial and lateral, and chemistry and mineralogy of the mantle must allow for the presence of anisotropy. Anisotropy is not a second-order effect. Seismic data that are interpreted in terms of isotropic theory can lead to models that are not even approximately correct. On the other hand a wealth of new information regarding mantle mineralogy and flow will be available as the anisotropy of the mantle becomes better understood. Anisotropy And perpendicular now and now transverse, Pierce the dark soil and as they pierce and pass Make bare the secrets of the Earth's deep heart. nisotropy is responsible for the largest variations in tropic solid with these same elastic constants can be mod- A seismic velocities; changes in the preferred orienta- eled exactly as a stack of isotropic layers.
    [Show full text]
  • Crustal Seismic Anisotropy of the Ruby Mountains Core Complex and Surrounding Northern Basin and Range Justin T
    University of New Mexico UNM Digital Repository Earth and Planetary Sciences ETDs Electronic Theses and Dissertations Fall 10-25-2018 Crustal Seismic Anisotropy of the Ruby Mountains Core Complex and Surrounding Northern Basin and Range Justin T. Wilgus Follow this and additional works at: https://digitalrepository.unm.edu/eps_etds Part of the Applied Statistics Commons, Geochemistry Commons, Geology Commons, Geomorphology Commons, Geophysics and Seismology Commons, Mineral Physics Commons, and the Tectonics and Structure Commons Recommended Citation Wilgus, Justin T.. "Crustal Seismic Anisotropy of the Ruby Mountains Core Complex and Surrounding Northern Basin and Range." (2018). https://digitalrepository.unm.edu/eps_etds/250 This Thesis is brought to you for free and open access by the Electronic Theses and Dissertations at UNM Digital Repository. It has been accepted for inclusion in Earth and Planetary Sciences ETDs by an authorized administrator of UNM Digital Repository. For more information, please contact [email protected]. i Justin T. Wilgus Candidate Earth and Planetary Sciences Department This thesis is approved, and it is acceptable in quality and form for publication: Approved by the Thesis Committee: Dr. Brandon Schmandt, Chairperson Dr. Karl Karlstrom Dr. Lindsay Lowe Worthington ii CRUSTAL SEISMIC ANISOTROPY OF THE RUBY MOUNTAINS CORE COMPLEX AND SURROUNDING NORTHERN BASIN AND RANGE by JUSTIN T. WILGUS B.S. IN GEOLOGY, MINOR IN MATHEMATICS NORTHERN ARIZONA UNIVERSITY, 2015 THESIS Submitted in Partial Fulfillment of the Requirements for the Degree of Master of Science Earth and Planetary Sciences The University of New Mexico Albuquerque, New Mexico December, 2018 iii ACKNOWLEDGEMENTS I would like to thank my advisor Brandon for giving me this opportunity and always motivating my progress.
    [Show full text]