Abstract

Understanding lower-crustal deformational processes and the related features that can be imaged by seismic waves is an important goal in active tectonics. We demonstrate that teleseismic receiver functions calculated for broadband seismic stations in Southern California reveal a signature of pervasive seismic anisotropy in the lower crust. The large amplitudes and small move-out of the diagnostic converted phases, as well as the broad similarity of data patterns from widely separated stations, support an origin primarily from a basal crustal layer of hexagonal anisotropy with a dipping symmetry axis. We conducted neighborhood algorithm searches for depth and thickness of the anisotropic layer and the trend and plunge of the anisotropy symmetry (slow) axis for 38 stations. The searches produced a wide range of results, but a dominant SW-NE trend of the symmetry axis emerged. When the results are divided into crustal blocks and restored to their pre–36 Ma locations, the regional-scale SW-NE trend becomes more consistent, although a small subset of the results can be attributed to NW-SE shearing related to San Andreas transform motion. We interpret this dominant trend as a fossilized fabric within schists, created from top-to-the-SW sense of shear that existed along the length of coastal California during pretransform, early Tertiary subduction or from shear that occurred during subsequent extrusion. Comparison of receiver-function common conversion point stacks to seismic models from the active Los Angeles Regional Seismic Experiment shows a strong correlation in the location of anisotropic layers with “bright” reflectors, further affirming these results.

INTRODUCTION

According to a growing body of geologic and tectonic evidence, the crustal blocks that constitute the crust of southern and central California west of the San Andreas fault are largely the scattered remnants of a once-continuous magmatic arc lithosphere that was delaminated at mid- to lower-crustal levels by Laramide shallow flat subduction and subsequently underplated by schists derived from the adjacent accretionary trench complex (e.g., Saleeby, 2003; Ducea et al., 2009). The end of Laramide flat subduction was marked by oceanward extensional collapse of the delaminated crust and partial exhumation of the underplated schists (Saleeby, 2003). Post-Laramide tectonic evolution of the region then led to further crustal fragmentation and the transfer of some crustal blocks to the Pacific plate, in some cases accompanied by large-magnitude vertical-axis rotation and long-range lateral transport (Nicholson et al., 1994). If this hypothesis is correct, large portions of the crust in southern and west-central California should be underlain by schists that were overprinted with a flattening strain during underplating. In this paper, we describe a seismic investigation based on the receiver-function (RF) method to search for and characterize lower-crustal seismic anisotropy that would be expected to delineate such a regional-scale fabric.

Teleseismic receiver functions have been used for roughly the past 30 yr (e.g., Langston, 1979) to better understand crustal structure through the identification of major impedance contrasts and the ratio of P- to S-wave velocity within layered crust and mantle (e.g., Zandt et al., 1995; Zhu and Kanamori, 2000). More recently, the RF technique has been applied to the identification of anisotropic zones in the crust, which are then used to infer the location and mechanism for previous and current deformation (e.g., Levin and Park, 1997; Savage, 1998; Peng and Humphreys, 1997; Sherrington et al., 2004; Ozacar and Zandt, 2004, 2009).

The motivation for this study is the observation of consistent move-out patterns within Southern California indicative of dipping layers or seismic anisotropy. Southern California is an ideal location for such a study due to the abundance of geologic and geophysical studies in the region, the availability of numerous long-running (>4) seismic stations with publicly available data, and well-constrained crustal structure and deformational history. This well-constrained geologic history helps to address one of the fundamental difficulties in any seismic analysis, i.e., the lack of temporal information regarding observations. This is especially important in anisotropy analyses, which give no indications as to whether observations reflect previous deformation or modern tectonics. By interpreting our new results in conjunction with previous work in the region, we expect to better constrain the deformational history of the lower crust and improve our understanding of both the regional tectonics and the receiver-function anisotropy technique.

GEOLOGIC AND TECTONIC SETTING

Our study area in Southern California, shown in Figure 1, is composed of two tectonic plates and multiple tectonic terranes with complex geologic histories. Here, we will generally follow the terrane terminology and tectonic reconstruction of the region compiled by McQuarrie and Wernicke (2005). Because of the importance of the tectonic history to the interpretation of crustal anisotropy, a more detailed description of each of these terranes is provided in Appendix A.

The San Andreas fault is a transform plate boundary separating the Pacific and North American plates; it grew from offshore precursors following the sequential cessation of subduction near Southern California starting at ca. 30 Ma (Atwater, 1989). The Sierra Nevada and Peninsular Ranges are pieces of relatively intact batholithic upper crust. These were originally separated by an ∼500-km-wide gap that is the proposed location of a shallow segment of the Laramide flat slab (Malin et al., 1995; Saleeby, 2003). This shallow subduction episode in Late Cretaceous–early Tertiary time sheared off the lower lithosphere of the upper plate, including the lower crust, and underplated a subduction-zone accretionary complex that was subsequently metamorphosed into schists (Saleeby, 2003; Ducea et al., 2009; Grove et al., 2003). Following the end of flat-slab subduction, the outboard edge of the upper plate collapsed oceanward and was further disaggregated by the initiation of transform motion, locally exposing the schists in small outcrops of the Pelona, Orocopia, and Rand schists, in a belt extending from the Coast Ranges through the Mojave Desert, in the San Gabriel Mountains, southeastern California, and southwestern Arizona (Fig. 1) (Jacobson et al., 1996; Grove et al., 2003; Ducea et al., 2009). Blocks currently attached to the Pacific plate include the Salinian block, the Western Transverse Ranges block, the San Gabriel block, the continental borderlands, and the Peninsular Ranges block. On the North American plate, there are the Mojave block, separated into western and eastern domains by the Eastern California shear zone, the San Bernardino block, and the Eastern Transverse Ranges block (Fig. 1).

The Salinian block is composed of multiple terranes that, in conjunction with the Mojave block, originally formed the continuation of the magmatic arc between the Sierra Nevada and Peninsular Ranges and was subsequently rifted off and attached to the Pacific plate (Nicholson et al., 1994; Malin et al., 1995; Grove et al., 2003; Saleeby, 2003; Ducea et al., 2009). The San Gabriel block is an unrotated block west of the San Andreas fault that lies between the San Bernardino Ranges and the Western Transverse Ranges (Fig. 1). The Western Transverse Ranges, originally located outboard of the Peninsular Ranges, were rifted off in the mid-Miocene and rotated ∼115° clockwise to their current position (Hornafius et al., 1986; Luyendyk, 1991; Nicholson et al., 1994). This rifting and rotation left in its wake the strongly attenuated continental crust of the continental borderlands offshore of Southern California (Crouch and Suppe, 1993; Bohannon and Geist, 1998). The Catalina schist, located on the Catalina Islands in the offshore borderlands, is another outcrop of subduction-zone accretionary material that was partially subducted beneath the western edge of the Peninsular Ranges Batholith and later exhumed (Grove and Bebout, 1995). The opening of the Gulf of California completed the transfer of the Salinian block, Western Transverse Ranges, and the Peninsular Ranges to the Pacific plate by ca. 6 Ma (e.g., McQuarrie and Wernicke, 2005). The terranes that remain part of North America are the Mojave, San Bernardino, and the Eastern Transverse Ranges. The Mojave region experienced two stages of Cenozoic deformation: a mid-Tertiary stage of extension associated with core complexes (Glazner et al., 1989; Walker et al., 1990; Martin et al., 1993; Fletcher et al., 1995), and a later stage of right-lateral shear associated with the modern Eastern California shear zone (Dokka and Travis, 1990; Howard and Miller, 1992; McQuarrie and Wernicke, 2005). The San Bernardino block is a relatively small block with a poorly constrained rotational history, located just northwest of the Eastern Transverse Ranges and immediately south of the Mojave block (Stewart and Poole, 1974; Miller, 1981; Luyendyk, 1991). The 38 long-running broadband seismic stations used in this study are located in eight of these terranes (Fig. 1; Table 1).

CRUSTAL SEISMIC ANISOTROPY

Seismic anisotropy is the property of rocks such that the seismic wave speed at a point is dependent on the direction of wave propagation. Here, we follow the definition of percent seismic anisotropy as (Vmax – Vmin) / Vavg, where V is seismic velocity. Seismic anisotropy in the crust is generally attributed to fractures, rock fabrics, aligned mineral grains, metamorphism, or magma injection into a shear zone (Babuska and Cara, 1991; Okaya and Christensen, 2002; Okaya and McEvilly, 2003). While aligned fractures play a significant role in upper-crustal anisotropy, once a confining pressure of 150–300 MPa is achieved, the influence of fractures is almost nonexistent (Barruol and Kern, 1996; Pellerin and Christensen, 1998). For lower-crustal rocks, the primary mechanism of anisotropy is believed to be the lattice-preferred orientation (LPO) of mineral grains (also referred to as crystallographic preferred orientation [CPO]; Babuska and Cara, 1991; Levin and Park, 1998). While magma injection into shear zones can create a fabric (Kohlstedt and Holtzman, 2009) capable of producing seismic anisotropy, this process has been explored much less than LPO anisotropy.

Although most crustal minerals exhibit some form of seismic anisotropy, magmatic rocks commonly do not have strong anisotropic signatures, due to a lack of aligned mineral grains. Measurable anisotropy is generally found in metamorphic rocks such as schists and gneisses, which are capable of producing seismic anisotropy values as large as 20%, due to the alignment of minerals such as micas (Babuska and Cara, 1991). There are several different forms of seismic anisotropy, which are defined by the number of unique values necessary to describe their elastic properties (Babuska and Cara, 1991). For this work, we assume hexagonal anisotropy, also referred to as transverse isotropy. This is the simplest form of seismic anisotropy and can be described with one unique velocity axis. The advantage of assuming this form of anisotropy is that it can be parameterized more easily than other forms, requiring a stiffness tensor with only five independent variables (compared to two for an isotropic medium). These variables are related to Vp-fast, Vp-slow, Vs-fast, Vs-slow, and Vp-45°, which defines the velocity gradient between Vp-fast and Vp-slow (see Appendix B) (Okaya and Christensen, 2002; Babuska and Cara, 1991). Following hexagonal anisotropy, the next simplest form of anisotropy is orthorhombic, which requires nine unique variables to describe the elastic tensor. This high number of unique variables makes an inversion for these parameters from receiver-function data untenable given current seismic analysis techniques and data. Fortunately, several studies have suggested that hexagonal anisotropy is sufficient to describe the average aggregate properties of regionally significant zones of crustal anisotropy (e.g., Levin and Park, 1997; Godfrey et al., 2000). A similar argument is used to justify using hexagonal anisotropy to describe the anisotropic effect of an aggregate of orthorhombic olivine crystals in the upper mantle.

Hexagonal anisotropy can be divided into two different categories: fast unique axis and slow unique axis (or pumpkin and melon, respectively, in the terminology of Levin and Park, 1997) (Fig. 2). Fast-axis anisotropy is seen in mantle rocks (e.g., olivine) and is used for SKS wave-splitting analysis, which generally assumes a horizontal orientation of the fast axis. Results from SKS measurements are commonly displayed in maps of fast-axis orientations. In the Southern California crust, we expect to find regionally pervasive crustal schist packages with abundant micas defining a foliation (Fig. 2). Micas within the schist would dominate the anisotropic signature of the rock and therefore are believed to be the primary source of observed anisotropy (Weiss et al., 1999). Typical micas are monoclinic but have seismic anisotropy that deviates only slightly from strong slow-axis hexagonal anisotropy (Alexandrov and Ryzhova [1961],inBabuska and Cara, 1991; Vaughan and Guggenheim, 1986); hence slow-axis hexagonal anisotropy is often assumed for crustal anisotropy studies (Weiss et al., 1999). We will follow this convention in this study and will display results in maps of slow-axis orientations. Unlike the upper-mantle case, where the horizontal fast-axis orientation can only resolve the shear axis and not the direction of deformation, the uniquely dipping, slow-axis trend potentially can be used to determine the sense of shear within a subhorizontal shear zone. If shearing within the zone produces a mica foliation that is at an angle to the shear-zone boundary, the azimuth of the unique axis points in the direction of relative upper-plate motion (Fig. 2). However, this interpretation is not unique, and the same slow-axis trend, if it is produced by melt bands, will indicate the opposite sense of motion (Fig. 2) (see supplemental material of Zandt et al., 2004). Therefore, some knowledge of the geologic cause of the anisotropy is important when interpreting a sense of shear from crustal seismic anisotropy measurements. Nonetheless, the orientation (trend direction or 180° opposite) of the slow-axis still provides important information about orientation of shearing, even without the sense of shear constraint.

ANISOTROPY EFFECTS IN RECEIVER FUNCTIONS

Receiver functions make use of P- to S-converted waves (Ps) to estimate the depth of the conversion-generating interfaces. This method is particularly sensitive to major velocity contrasts and to the ratio of P- to S-wave velocity within a layer (Vp/Vs). Receiver functions calculated from events at varying back azimuths sample an anisotropic layer differently based on the angle of the ray path relative to the orientation of anisotropy (Fig. 3). On the radial component of receiver functions, this produces azimuthally dependent delays in the arrival time and amplitude variations in the Ps converted phase. In certain situations where waves sample a highly anisotropic layer, the impedance contrast can vary azimuthally between the anisotropic layer and the surrounding medium, producing azimuthally dependent polarity reversals on the radial component. On the tangential component of RFs, anisotropy produces large-amplitude variations in the Ps phases that are most easily identified as azimuthally dependent polarity reversals. When receiver functions from a given station are stacked in bins by back azimuth, delays in arrival times and variations in amplitude can be used to determine the trend (0°–360° measured clockwise from north) and plunge (0°–90° measured downward from horizontal) of the unique anisotropic axis for a given layer, as well as the percent anisotropy (e.g., Levin and Park, 1998; Sherrington et al., 2004; Ozacar and Zandt, 2009). While dipping layers and anisotropy can produce similar patterns in both the radial and tangential components, there are significant differences in amplitude and delay patterns that make it possible to distinguish between the two. In particular, a dipping layer produces a zero-lag arrival on the tangential record section with a polarity reversal that is not observed for the anisotropy case (Fig. 3). Geologic constraints can also help distinguish between dip and anisotropy. The presence of a consistent azimuthal pattern observed at several stations over a broad geographic area having structural complexity suggests a cause rooted in anisotropy, as opposed to a set of similarly dipping layers at the same depth.

To identify and parameterize seismic anisotropy, we first calculate both radial and tangential receiver functions for each station within the study area. These are then visually examined for the aforementioned features, and time windows are selected that incorporate the Moho arrival and potential zones of lower-crustal anisotropy. Using this time window, a neighborhood algorithm search is conducted using the raysum forward modeling code (Frederiksen et al., 2003) to determine an anisotropic crustal model that best matches the observed signal. These results are then plotted and evaluated for error.

An important factor in describing hexagonal anisotropy is the elastic parameter η. The value of η defines the shape of the velocity ellipsoid between the P-fast and P-slow axes. For the inversion, we required that the velocity gradient between the P-fast and P-slow axes fit a pure ellipse, following Levin and Park (1998). The rationale is explained in Appendix B. If we assume the gradient between the two velocities is a pure ellipse, η is function of the percent anisotropy, with higher percent anisotropies corresponding to lower η values for rocks with a slow unique axis. An η value equal to 1 describes an isotropic medium. Synthetic testing performed prior to the inversion demonstrated that variations in the value used to define η have minimal impact on the inversion for trend of anisotropy, which is primarily dependent on the locations of polarity reversals and not relative amplitudes.

The calculated plunge of the unique axis of anisotropy and percent anisotropy are primarily dependent on the amplitude of arrivals and azimuthally dependent Ps delays observed in receiver functions. Variations in both of these features can be relatively subtle in receiver functions and are sometimes hard to identify if the crust beneath a station has complicated structure. These difficulties make the inversion for plunge and percent anisotropy less robust than the trend of the anisotropy. Variations in anisotropy plunges near 0° are capable of producing 180° rotations in the calculated trend, and stations with plunges near 90° appear nearly isotropic in receiver functions. Station inversions that result in these extreme plunges are generally less accurate than inversions with a moderate plunge. Although slow unique axis anisotropy is assumed in this study, when the inversion was run assuming fast unique axis anisotropy, the best-fitting model generally had a trend 180° and a dip 90° from the slow unique axis solution (Ozacar and Zandt, 2004). When synthetic RFs for both solutions were compared, the resulting move-out patterns were very similar and would be difficult, if not impossible, to differentiate in real data. Therefore, the most robust results from this study are the orientations of the trends, so we place the most emphasis on these in our interpretations.

DATA PROCESSING FOR RECEIVER FUNCTIONS

Receiver functions were computed from seismograms of teleseismic events between 25° and 95°, recorded on 38 Southern Californian broadband stations that were publicly available through the Incorporated Research Institutions for Seismology Data Management Center (IRIS DMC). Seismograms with a signal to noise ratio less than 3 were immediately discarded. The remaining traces were windowed from 10 s before to 100 s after the direct P-wave arrival and band-pass filtered using corner frequencies of 0.05 and 5 Hz. The seismograms were then down-sampled to 20 Hz, and the horizontal seismograms were rotated into radial and transverse components. An iterative time-domain deconvolution method (Ligorria and Ammon, 1999) with a Gaussian pulse width of 2.5, equivalent to a low-pass frequency of 1.2 Hz, was used to calculate the receiver functions. The calculated receiver functions were convolved with the vertical component trace and compared to the radial trace to assess the variance reduction, with higher values representing better deconvolutions. After deconvolution, receiver functions were normalized to the radial component by dividing both components by the maximum radial value. Those with variance reductions of <0.80, with negative first arrivals, or with extreme normalized amplitudes were discarded. Remaining receiver functions were plotted by back azimuth in bins of 20°. Each plotted bin contains the median value for all incoming rays with back azimuths ±10° of the bin value. Three stations had fewer than 35 RFs (CIU, LKL, SNCC); the rest had over 70, and a majority had between 200 and 623, which was the maximum number of RFs (Table 1). Previous studies of receiver functions in Southern California have focused on estimates of bulk crustal thickness and Vp/Vs (Zhu and Kanamori, 2000) and details of local and regional crustal structure (Yan and Clayton, 2007), but they have not considered the possibility of anisotropy. In this study, we focus on regional-scale lower-crustal anisotropy.

ANISOTROPY SEARCH PROCEDURE

Azimuthal plots of both the radial and transverse components of receiver functions for each station were examined for “indicators” of lower-crustal anisotropy. This was done by first identifying the Moho Ps phase on the radial RFs and then inspecting the ∼4 s window before the Moho arrival for phases that reversed polarity on the transverse component. For many of the Southern California stations, we were able to identify these diagnostic phases. In some cases, this was the major feature in the RFs, but for other stations, this lower-crustal signal was one of several layers of complex signal, both within the crust and in the upper mantle. With the focus of this study on lower-crustal anisotropy, we did not try to model the complete crustal structure for each station but rather restricted our efforts to estimating the anisotropic parameters for the basal crustal layer for all stations that displayed evidence of a potential anisotropic signal.

Synthetic receiver functions for an anisotropic medium were calculated using a modified version of the raysum code (Frederiksen and Bostock, 2000), a ray-based technique that calculates the amplitude and traveltimes for different phases, which are then combined to create a synthetic seismogram. The technique is limited to the plane-wave assumption, i.e., teleseismic waves, and is not applicable to models with steeply dipping layers (>50°) that potentially pinch out in the range of interest. We did not calculate multiples in our modeling because the multiples from the lower crust arrive much later than the time window with which we were concerned. In recorded data, multiples from localized shallow structures can potentially interfere with the arrivals in the time window of interest and produce variations in trend and anisotropic layer thickness. To mitigate these local variations in results, we modeled several stations for each tectonic block and took the average anisotropy measurement for each block. The search code uses a global directed-search optimization technique known as the neighborhood algorithm to solve for a set of given parameters (Frederiksen et al., 2003; Sambridge, 1999). The neighborhood algorithm search is summarized here and described in greater detail in Frederiksen et al. (2003) and Sambridge (1999). It works by randomly defining points in model space for several sets of free parameters (e.g., anisotropy trend, Moho depth, etc.; Table 2) and constructing polygons, known as neighborhoods, around each point. These polygons contain the point and all of the area in model space closest to that point that is not contained within another polygon. Misfit between the observed and synthetic receiver functions is calculated for each point, and, once completed, more points are generated within the neighborhoods encompassing the points with the lowest misfits. New polygons are generated within the previous neighborhood for these new points, and the process is then repeated until a specified number of iterations has been reached. The progression of the model misfit is shown for stations PKD and BBR in Figure 4. For this work, we performed 20 iterations, searching 1700 models for each station. Experimenting with a few select stations demonstrated that increasing the number of iterations beyond 20 did not produce significant improvement in misfit or variations in results. We also modified the original raysum inversion code by making the assumptions that the fit between fast-and slow-velocity axes is a pure ellipsoid and that percent P and percent S anisotropy are equal. We found that without the pure ellipsoid constraint, it is possible to produce an anisotropic signal from a layer with 0% anisotropy when anisotropy is defined using η (Appendix B).

One of the advantages of the neighborhood algorithm search is that it will work for almost any method of calculating misfit. We used an l2 norm misfit, which is more sensitive to amplitude and less sensitive to arrival time than the correlation misfit (which is the default for the code; Frederiksen et al., 2003). The advantage of the l2 norm is that it allows us to easily calculate the misfit for an assigned time window (Table 1), which gives us the ability to focus specifically on lower-crustal anisotropic zones. The parameters allowed to vary in the inversion were: anisotropic layer thickness, anisotropic layer depth, percent anisotropy, anisotropy slow-axis trend, and plunge. Density, the Vp/Vs ratio, P velocity, layer strike, and dip were all kept fixed (Table 2).

For the search, we assumed that all of the tangential energy and azimuthally dependent move-out was the result of seismic anisotropy and not dipping layers. While this assumption oversimplifies the crustal structure, allowing for both dipping layers and anisotropy results in a less efficient search. To test this assumption, searches were run on select stations allowing for layers that were both anisotropic and dipping. The results from these tests showed that allowing both parameters to vary did not measurably improve the fit to the data (see GSA Data Repository supplement1). To determine if the observed signal was a result of dipping layers, searches were done on these same stations but allowing for dipping layers with no anisotropy; however, these results did not fit the data as well as those that assumed seismic anisotropy (see GSA Data Repository supplement [see footnote 1]). In the search for anisotropy, we assumed that the crust consisted of an upper-crustal layer with a P-wave velocity of 6.4 km/s and an anisotropic lower-crustal low-velocity layer with an average velocity of 6.2 km/s, consistent with the P velocity for Pelona schists (Godfrey et al., 2000) (Table 2). The depth and thickness of the low-velocity anisotropic zone were allowed to vary to best match the arrival times of the phases associated with the upper and lower interfaces of the anisotropic layer.

Evaluating the quality of the results was one of the most difficult aspects of the search. The search outputs the model with the lowest root mean square (RMS) misfit for an assigned time window as the “best” model. While this identifies the model that best fits the data for an individual station, this value cannot be used to compare results between stations, because a lower RMS misfit does not necessarily equate to a more robust inversion. A station with a high percentage of anisotropy will have more energy on the tangential components than a station with less anisotropy. If the search is unable to match the locations of polarity reversals exactly, a station with more tangential energy (i.e., greater percent of anisotropy) will have a higher RMS misfit than a similar station with less tangential energy. Stations with greater azimuthal coverage will generally give better information about crustal structure but have a greater RMS misfit than a station with less coverage. This is because additional data provide further constraints in the search but also make it more difficult for a model to match all of the observations. Both of these scenarios result in a situation where the search is less robust for a station with lower misfit. In order to quantify error for each station, we produced trade-off plots showing how variations between pairs of parameters influenced misfit. In these plots, we observed very little trade-off between parameters. Anisotropy trend versus anisotropic layer thickness and anisotropy trend versus plunge are shown for stations PKD and BBR in Figure 4. Based on a visual examination of trade-off and back-azimuth plots, we provide a rough estimate of trend misfit in Table 1.

ANISOTROPY SEARCH RESULTS

The search results are tabulated in Table 1 and illustrated in Figures 5 and 6. Figure 5 has eight panels illustrating the results for one representative station in each of the eight terranes. Each panel shows a comparison of the data to the synthetics for the best-fit model, an illustration of the best-fit anisotropy trend and plunge, and a velocity-depth profile illustrating the anisotropic layer. The anisotropy trend, plunge, and percent anisotropy results for all the stations are illustrated on the map in Figure 6.

In Figure 5, two stations (RPV, MWC) located relatively close to each other and a third (PKD) located over 300 km away all display very similar evidence of lower-crustal anisotropy that consists of a negative-positive phase pair with large-amplitude variations (including polarity reversals) on the radial record and a pair of phases exhibiting matched polarity reversals in the same time window of the tangential record. Station DJJ is located close to RPV but across a terrane boundary. This station exhibits similar polarity reversals on the tangential component and a strong negative immediately before the Moho arrival, but the back azimuth of these signals is rotated ∼130° to 150° clockwise from the other three stations. Yan and Clayton (2007) noted these phases at MWC and attributed them to a dipping interface, which was a plausible explanation given the similarity of signals from dipping layers and anisotropy. We prefer the anisotropy explanation for several reasons. First, the comparison of a dipping versus an anisotropy layer illustrated in Figure 3 shows that the dipping layer case has a diagnostic arrival on the tangential record of a polarity reversing phase at zero lag time (centered at time zero), which is absent for the anisotropy case. The zero lag phase is not observed at MWC or at the other stations, although some shallower phases are present. A more subtle difference is that the anisotropy case has polarity reversals on the radial component that are not observed in the dipping layer case, and again polarity reversals are observed on the radial data from MWC and other stations. Perhaps most significant to us is the similarity of signals from both closely spaced and distant stations. This would either require similarly dipping interfaces at similar depths beneath all these stations or a similar anisotropic layer. Given the geologic evidence for the presence of underplated schists beneath all these stations, we prefer the anisotropy explanation.

The linear nature of the trend versus plunge and trend versus layer thickness in trade-off plots (samples shown in Fig. 4) demonstrates that the inversion for anisotropy trend is more stable relative to other parameters. This is because trend is determined by the location of polarity reversals, which are relatively easy to locate within the tangential record section. Calculated percent anisotropy values for the region are generally higher than expected for crustal rocks and are relatively less constrained in the inversion. The high percent anisotropy values might be explained in part by unmodeled near-surface low-velocity zones (i.e., basins) that refract the incoming P-wave arrival to vertical, effectively changing the relative amplitudes of the converted (Ps) waves compared to the direct (P) wave on the radial RF component. Forward modeling of receiver functions with a 5 km low-velocity zone at the top of the crust, and then inversion of the results for anisotropy without a low-velocity upper-crustal layer, produces high percent anisotropy values for crustal rocks.

Some of the data clearly exhibit more complexity than a simple one-layer anisotropy model can explain. Given the complex tectonic history of the region, there are structural complications that locally emplace the schists at shallower levels, and locally expose them in surface outcrops (e.g., Ducea et al., 2009; Grove et al., 2003; Chapman et al., 2010). Therefore, it is not surprising that the lower-crustal anisotropic layer is not consistently observed at every station within each block. The reader is referred to Yan and Clayton (2007) for a more detailed analysis of some of these structural complexities. Nonetheless, we believe that comparisons of both the radial and tangential record sections from all the stations clearly reveal a persistent anisotropy signal that is consistent with pervasive regional-scale lower-crustal anisotropy in Southern California. Search results for all 38 stations are summarized in Table 1 and plotted in Figure 6. The minimum depth to the anisotropic layer is 10 km, the maximum depth is 28 km, and the average depth is ∼21 km. The thickness of the anisotropic layer ranges from 5.5 km to 15 km, with an average of 9.7 km. The percent anisotropy ranges from 5% to 20%, with an average of ∼14%. The η values range from 0.545 to 0.863, with an average of 0.664. Of the 38 stations that we inverted for anisotropy, 34 were used to calculate the regional anisotropy trend and the average anisotropy for the tectonic blocks. The anisotropy calculations for the remaining four stations (shaded white in Fig. 1) were not included in the final interpretation because they either did not lie within one of the defined tectonic blocks or else did not have significant azimuthal coverage to produce robust anisotropy results.

ANISOTROPY RESULTS BY CRUSTAL TERRANE

The rose diagram in Figure 6 illustrates the distribution of the trend directions. A regional-scale anisotropic trend is present in the area with a best-fitting unique axis orientation of 211° and a standard deviation of 43° (assuming orientations 180° apart are equivalent), calculated for the 34 stations assigned to tectonic blocks. The significant scatter in the results can be partially explained by separating the results into groups sampling the different geologic/tectonic blocks that constitute the crust in the region. As we demonstrate next, anisotropy results within each crustal block appear to be more coherent.

Salinian Block

The Salinian terrane is a large composite terrane (see Appendix A), and three stations are not nearly enough for a complete characterization. Nonetheless, the three stations in southern Salinia that we examined have a common SW-NE azimuth of anisotropy. Two stations (PKD and MPP) exhibit nearly identical trends of 231° and 236°, and the other (PHL) station has a nearly opposite trend of 70°. PHL has a relatively weak signal and small magnitude of percent anisotropy (−9%) compared to the other two stations (−20%). Rotating station PHL's unique anisotropy axis 180° to 250° results in an average unique axis orientation of ∼239° for the block, with a standard deviation of ∼10°. The ∼239° trend agrees within estimated error with the detailed study by Ozacar and Zandt (2009) for the Parkfield station, PKD. They interpreted the anisotropy observed at this station as a fossil fabric from Farallon subduction in either a serpentinite layer or a fluid-filled schist layer, based on the high Vp/Vs calculated for the lower crust. The underplated schist interpretation is supported by new field evidence suggesting that the Salinian block is largely a remnant Cretaceous arc underplated by schists, similar to those that outcrop in the Sierra de Salinas (Kidder and Ducea, 2006; Chapman et al., 2010). The opposite orientation of PHL compared to PKD and MPP might be attributed to large-magnitude extension of the underplated schists following flat slab subduction (Chapman et al., 2010). The composition of the schists indicates that the most anisotropic mineral preserved in the outcrop is mica (Ducea et al., 2007). Regardless of the exact source of the anisotropy, the orientation of the slow axis approximately orthogonal to the trend of the San Andreas fault at this location suggests that northwestward translation of the Salinian block along the San Andreas fault is not deforming the lower crust in a way that modifies the observed lower-crustal anisotropy.

San Gabriel Block

The San Gabriel block is much smaller than the Salinian block, and so the stations located within it provide a much better sampling of this terrane. The anisotropy trend measurements for the five stations clearly in the San Gabriel block average out to ∼213°, with a standard deviation of ∼29°, which is nearly the same direction as for the Salinian block, within error. In this case, all the trends are oriented to the SW, although measurements from station OSI are affected by structural complexities. Station DEC, which is located very close to the boundary between the Western Transverse Ranges and the San Gabriel block, exhibits a trend of 211°, which is consistent with the San Gabriel block results. Though located in the Western Transverse Ranges in the reconstruction, given the uncertainly of the terrane boundaries at depth, we argue that in future work DEC should be grouped with the San Gabriel block terrane, resulting in a more consistent reconstruction. The San Gabriel block is composed of Mesozoic and Proterozoic igneous and metamorphic rocks thrust over the Pelona Schist (Jacobson, 1983). Based on the reconstruction of McQuarrie and Wernicke (2005), the block has not undergone significant rotation. The similarity of the geologic history of the terranes suggests to us that the similar anisotropy results are due to a common cause: the subduction emplacement of schists beneath these terranes.

Western Transverse Ranges

Much of the Western Transverse Ranges terrane is located offshore, so the stations we have in this terrane only sample a small portion of its easternmost end. The results for the four stations clearly in the Western Transverse Ranges are distinctly different from the results in the Salinian and San Gabriel blocks, with an average trend of 353° or approximately north.

The Western Transverse Ranges have a complex deformational history of translations, rotations, and shortening (Appendix A). One possibility is that the N-S orientation of anisotropy trend reflects the >260 km of northward translation of the terrane since the early Miocene. However, other neighboring terranes outboard of the San Andreas fault have experienced similar translations and do not show the northward trend. It is also possible that anisotropy measurements reflect lower-crustal shear traction within the Western Transverse Ranges, which contain numerous indicators of intense N-S shortening (J. Saleeby, 2010, personal commun.). Unlike many of its neighboring terranes, the Western Transverse Ranges block has also undergone >100° of clockwise rotation since the early Miocene (Luyendyk, 1991). If rotated back 116° counterclockwise to its pre-Miocene orientation, the average anisotropy trend for the four N-oriented stations is 237°, aligning it with our “subduction accretion” trend. Given the difficulty in determining the cause of anisotropy for the block, we conclude that active tectonics and schist emplacement are both viable options.

Continental Borderland

Godfrey et al. (2002) argued that the crust within the inner continental borderland is composed of Catalina schist underlain by a greenschist-facies basaltic rock, interpreted as a fossilized subduction zone. The stations in this predominantly submerged terrane are confined to the far eastern part of this province, making it difficult to establish the anisotropic signal for the entire crustal block. The three higher-quality results we have show an average anisotropy trend of ∼231° with a standard deviation of ∼16°, again the subduction accretion trend. Two lower-quality results indicate a more N-S trend, which may be due to the strong extension in this region that followed in the wake of the rotation of the Western Transverse Ranges. Similar to the Western Transverse Ranges, the few observations we have from this large terrane are consistent with either active tectonics or schist emplacement.

Peninsular Ranges Block

The Peninsular Ranges block is composed of relatively intact batholithic crust, and its transfer to the Pacific plate in the past 6 m.y. as a cohesive body strongly suggests that it still retains a portion of its mantle lithosphere (J. Saleeby, 2010, personal commun.). The seven stations we analyzed in the Peninsular Ranges block are located in a relatively confined area of the northern Peninsular Ranges block. The anisotropy trends calculated for the Peninsular Ranges show the most variability among the terranes we examined, ranging from WSW to NNE. Within the region, station RDM exhibited an extremely weak anisotropic signature, and the Moho is not a clear consistent arrival at KNW. Two stations, WMC and SND, located close to each other and near the trace of the San Jacinto fault display widely disparate results, perhaps reflecting complexities related to the fault. Three stations, CRY, TRO, and YAQ, display a more consistent WSW trend, and station KNW has an anomalous N trend.

The 10° dip in the Moho identified by Lewis et al. (2000) could impact the results from these stations. To test this possibility, searches were run for anisotropy assuming a 10° dipping Moho. The results did not change significantly (<15°) for all but two of the stations, suggesting that the impact of this dip on our anisotropy trends is minimal. The proximity of most of the stations in this block to active fault strands may explain the variability of the observed anisotropy trends.

Mojave Block (Western and Eastern)

On the North American side of the San Andreas fault, we have results for the large Mojave terrane and the smaller San Bernardino block. Due to variations across the Eastern California shear zone, the Mojave was divided into two blocks: the eastern and western Mojave blocks. Three stations exhibit a SSE orientation of anisotropy in the west, and four stations exhibit a WSW trend in the east. The three western Mojave stations have an average anisotropy azimuth of ∼156°, with a standard deviation of 22°, while the five eastern Mojave stations average ∼246°, with a standard deviation of 21°, when the unique anisotropy azimuth for station JVA is rotated 180°. Within the Mojave, station LKL has relatively poor azimuthal coverage, and stations in the eastern Mojave all exhibit effects from complicated crustal structure, potentially impacting our inversion results. In general, stations in the Mojave exhibit a weaker anisotropic signal with less energy on the tangential component of receiver functions than is observed west of the San Andreas fault, making the inversion results for this area less robust.

Luffi et al. (2009) and Chapman et al. (2010) argued that much of the western Mojave experienced the same subduction erosion and schist underplating that occurred throughout the rest of Southern California. Thus, one would expect a similar direction of anisotropy (∼240°) as other terranes that preserve this signal. The opposing trend observed at JVA may have the same explanation as we proposed for PHL in the Salinian block, that is, it may reflect extrusion of the underplated schists (Chapman et al., 2010). The anisotropy azimuth of ∼156° calculated for the western Mojave suggests that the lower-crustal anisotropy trend appears to have been reset by younger deformational events. We will reevaluate the Mojave interpretation after the tectonic reconstruction later in this paper.

San Bernardino Block

This small crustal block is part of the Transverse Ranges; however, the bedrock of the San Bernardino block is most strongly correlated to the immediately adjacent Mojave basement near Victorville (Stewart and Poole, 1974; Miller, 1981). Like the western Mojave, the San Bernardino block upper crust is underlain by schist, interpreted to be the Orocopia schist by Powell (1981). Two of the stations display S-SE trends, while a third has a NW trend. One station, SVD, is located between two branches of the active San Andreas fault, and, interestingly, it exhibits a fault-parallel trend. In some ways, the trends in this small block appear similar to those observed in the western Mojave block just to the north. However, the receiver functions from these stations are relatively complex, making these results less robust than those from other crustal blocks.

TECTONIC RECONSTRUCTION TO 36 Ma

In order to develop a better picture of the relative locations and orientations of the anisotropy trends to pretransform paleogeography, the crustal blocks with their seismic stations were restored back to their early Oligocene (36 Ma) positions and orientations, based on the reconstruction of McQuarrie and Wernicke (2005) (Fig. 7). The anisotropy locations and rotations were palinspastically restored by associating each of the individual points with the polygons reconstructed by McQuarrie and Wernicke (2005). Points were then restored via incremental translation and rotation about their associated polygon centroid (McQuarrie and Oskin, 2010) (Table 1). The 36 Ma time frame was chosen not only because it is the earliest time frame in the reconstruction, but also because it takes us back to a pretransform period, when subduction was active along the entire coastline. Restoring the anisotropy highlighted subtle problem areas in the tectonic reconstruction of McQuarrie and Wernicke (2005). The geological boundaries of the reconstruction are based on geographic information system (GIS) polygons from the 1:5,000,000 scale tectonic map of Muehlberger (1996). Given the complexity of Southern California tectonic history, there are a variety of interpretations in the restored locations of crustal blocks. While this is a significant issue, our interpretation is primarily dependent on the rotational history of the blocks; as such, uncertainties in restored locations are less important than those related to orientation. The scale of the map used to define geologic boundaries is such that station locations in close proximity to polygon boundaries may be assigned to the wrong block. As an example of a potential boundary problem, stations PAS and PASC are located ∼3 km apart, yet they palinspastically relocate to widely separated locations. In this reconstruction, station PAS is located on the northernmost edge of the Peninsular Range polygon, which did not experience significant rotation. Immediately adjacent is station PASC, in the Western Transverse Ranges, which underwent 116° of rotation. Pre-restoration PAS and PASC stations record similar anisotropies of 354° and 332°, respectively. When palinspastically rotated 116°, station PASC matches the other Western Transverse Ranges anisotropies as well as the overall SW-trending anisotropy of the region (Fig. 7); however, PAS, with little rotation but significant translation with the Peninsular Range block, does not. This suggests that both PAS and PASC should be restored with the Western Transverse Ranges. As discussed earlier, station DEC, while reconstructed on the northern edge of the Western Transverse Ranges terrane, has the anisotropic signature of the adjacent San Gabriel block, which shows a SW-trending anisotropy before rotation (Fig. 6). After the rotation of the Western Transverse Ranges block, the anisotropy of DEC dips to the east (Fig. 7), confirming it should be restored with the San Gabriel block. The reconstruction does not answer all questions regarding the San Bernardino block, but it does provide some insight into the anisotropic signal there. This block has a relatively unconstrained rotational history and exhibits complicated receiver-function signals observed at the stations within it. Given the proximity of stations SBPX and SVD to the San Andreas fault at 36 Ma, it is possible to attribute the anisotropy trends observed at these stations to deformation associated with motion along the fault. Within the block, post-subduction deformation could obscure the anisotropic signal directly related to underplated schist. Station SVD is located between two strands of the San Andreas fault and is assigned to a polygon that has significant southward translation in the reconstruction. Given its location, it is unclear if SVD should be included within the San Bernardino block. Stations with uncertain locations in the reconstruction are transparent on the map and are not included in the rose diagram of the post-restoration trend distribution nor were they considered in calculating best-fitting anisotropy arrows for the tectonic blocks (Fig. 7).

Comparing the rose diagrams of anisotropy trends prior to and after restoration (Figs. 6 and 7), we observe a significant tightening in the azimuthal distribution. The dominant trend is at ∼240°, with a much smaller peak in the opposite direction of ∼60°. This orientation coincides closely with the Farallon–North American convergence direction for the end of the Laramide (ca. 59–42 Ma) (Saleeby, 2003). Subordinate peaks occur for N-S and NW-SE orientations.

In the map view of the 36 Ma reconstruction, stations in blocks originally west of the San Andreas fault (Salinian block, San Gabriel block, Western Transverse Ranges, and Peninsular Ranges block) all exhibit similar SW-NE orientations, and predominantly SW trends, consistent with a top-to-SW sense of shear, assuming an S-C–type cause for the anisotropy. This is consistent with the hypothesis of subduction emplacement of schists derived from the accretionary complex.

While the tectonic reconstruction of McQuarrie and Wernicke (2005) is based on >100 unique displacement constraints for the reconstruction east of the San Andreas fault, displacements of fault-bounded blocks west of the San Andreas fault are only controlled by five, first-order constraints. These are (1) displacement on the San Andreas fault (Matthews, 1976; Graham et al., 1989; Dickinson, 1996), (2) ∼110° clockwise rotation of the Western Transverse Ranges (Hornafius et al., 1986; Luyendyk, 1991), (3) attenuation of the continental borderlands in the wake of the rotating Transverse Ranges (Crouch and Suppe, 1993; Bohannon and Geist, 1998), (4) opening of the Gulf of California (Oskin et al., 2001; Oskin and Stock, 2003), and (5) the easternmost extent of Pacific plate oceanic crust, which constrains the maximum western extent of continental North America (Atwater and Stock, 1998). By taking into account only these first-order constraints, the attempt at a self-consistent, strain-compatible model highlights several problems, many of which are focused along and west of the San Andreas system (McQuarrie and Wernicke, 2005). One of these problems, directly related to this study, is the restoration of the coastal Salinia terrane to a position that overlaps with the western Mojave Desert. This kinematic incompatibility (see Chapman et al., 2010) arises from the requirement that continental crust cannot be west of the restored Pacific plate (Atwater and Stock, 1998). The limited amount of extension in the Mojave region and the Basin and Range immediately to the east (<200 km) forces undocumented extension in the western Mojave region of the model. Solutions to this kinematic incompatibility would require a careful reconstruction of displacements west of the San Andreas fault not included in the reconstruction by McQuarrie and Wernicke (2005), as well as different plate-tectonic reconstructions that restore the Pacific plate farther to the southwest at 33 Ma (e.g., Wilson et al., 2005). Restoring the Pacific-Farallon plate boundary to the southwest may also provide room for a nonlinear western North America margin due to Late Cretaceous extension in the region (Chapman et al., 2010). Although we readily acknowledge that the tectonic reconstructions highlight geological incompatibilities, we argue that these incompatibilities do not affect the primary conclusions of this study. By using the reconstructions of McQuarrie and Wernicke (2005), we have learned that the most important parameters for restoring anisotropy measurements are (1) large-scale displacements along the San Andreas system and (2) large rotations associated with the transform boundary. By accounting for these first-order constraints, we show that the number of measurements showing a clear NE fabric increases and that the locations of strong NE anisotropy cluster between two large coherent blocks that clearly retained both mantle lithosphere and lower crust, the restored Sierra Nevada and Peninsular Ranges blocks.

Both Figure 5 and Figure 6 highlight two predominant anisotropy directions, a SW-NE orientation that we attribute to an underplating signature, as well as a NNW-SSE direction that parallels the San Andreas system. The average anisotropy trends for the western Mojave stations are close to and parallel to the future location of the San Andreas fault, suggesting that perhaps the initiation of motion on this segment of the San Andreas system aligned the fabric in the schists within the lower crust. In contrast, the eastern Mojave stations display the same SW-NE orientation that we attribute to an underplating signature (Fig. 7), suggesting perhaps that this region was far enough away from the future San Andreas system to retain this original anisotropy. Luffi et al. (2009) showed that the level of low-angle subduction underplating was progressively deeper in the eastern Mojave, requiring Farallon mantle lithosphere underplating at Moho depths. Nonetheless, shear sense is the same and occurred at Moho depths, so it should have imparted a similar anisotropic fabric (J. Saleeby, 2010, personal commun.).

Summary of Results

The most important observation from the reconstruction is the consistency of results west of the San Andreas fault, which provides strong evidence that the signal observed there is related to the subduction of the Farallon slab and that much of this signal has not been overprinted by subsequent deformation. Based on geologic evidence (Saleeby, 2003; Ducea et al., 2009; Luffi et al., 2009; Chapman et al., 2010), we propose that this signal is the result of a pervasive fabric in schists that were underplated during Laramide flat slab subduction (Fig. 8). The presence of these schists has been identified in several previous geologic and geophysical studies of the region (e.g., Malin et al., 1995; Ozacar and Zandt, 2009; Pellerin and Christensen, 1998; Godfrey et al., 2000; Cheadle et al., 1986; Li et al., 1992; Yan et al., 2005). Pellerin and Christensen (1998) used data from the Los Angeles Regional Seismic Experiment (LARSE) project to examine crustal anisotropy within the region and calculated elastic tensors for the Pelona schists at varying pressures. They identified gneisses and schists with substantial anisotropy (up to 20°) in the Southern Californian crust.

We believe the anisotropy is an aggregate effect of the fabric within the schist produced by flattening strain during the initial subduction of the accretionary package or during subsequent extrusion, and it is not necessarily affected by individual shear megathrusts at the top and bottom of the schist body. As Ducea et al. (2007) pointed out, the change from subduction to exhumation of the schist package requires the subduction megathrust to shift from the top to the bottom of the package, as well the development of a shear zone that reverses the sense of motion along the upper boundary. This is consistent with the “extrusion” hypothesis outlined in Chapman et al. (2010), where the entire subduction assemblage moves trenchward, with deformation concentrated in shear zones located at the top and bottom of the subduction package, preserving the initial subduction fabric within the schist body. Although the bounding shear zones are probably highly anisotropic as well, they are most likely too thin to affect seismic waves with teleseismic wavelengths.

COMPARISON TO LARSE EXPERIMENT

An important remaining question is whether the anisotropic lower crust has any consequences for the active tectonics of Southern California. In order to investigate this question, cross sections of receiver functions were plotted using the Common Conversion Point (CCP) method (e.g., Gilbert et al., 2003; Dueker and Sheehan, 1998). The advantage of this method is that it improves the signal-to-noise ratio through the stacking of traces from multiple stations. To convert from time to depth, we used a P-wave velocity of 6.4 km/s and a Vp/Vs ratio of 1.75. The Vp/Vs ratio is the average for the Los Angeles area calculated by Hauksson and Haase (1997) and approximates the average Vp/Vs for the Pelona Schist at 8 kbar calculated by Godfrey et al. (2000).

The CCP stacks from this work correlate well with results from the LARSE. CCP cross sections overlain on the LARSE lines show crustal thicknesses within several kilometers of LARSE estimates (Fuis et al., 2001, 2007; G.S. Fuis, 2009, personal commun.) (Fig. 9). Both models show a step down in the Moho from ∼25 to ∼30 km near the coastline and an increase in depth to ∼35 km under the San Gabriel Mountains. While the LARSE model has a small crustal root centered under the San Andreas fault, the RF model has a step near the surface trace of the San Andreas fault, consistent with Zhu (2002) and Yan and Clayton (2007), although uncertainties about Vp/Vs variations across the fault preclude firm conclusions. This Moho step and the truncation of some intracrustal features suggest that the San Andreas fault penetrates the entire crust at this location, as discussed in detail by Yan and Clayton (2007). A negative polarity lower-crustal arrival is present under the inner borderland, west of the San Andreas; it disappears for ∼40 km east of the San Andreas, appearing again in the midcrust underneath the Mojave (Fig. 9). This phase marks the top of the lower-crustal schist package. The reflection “bright spot” identified by Ryberg and Fuis (1998) as a fluid-filled pocket along a horizontal crustal décollement beneath the San Gabriel Mountains is observed at the same location and depth as the top of the lower-crustal schist layer (Fig. 9). Hence, the fossil anisotropy layer may still be acting as an important control on modern tectonics by localizing upper-crustal deformation above the preserved schist layer.

CONCLUSIONS

The consistent SW-NE orientation of anisotropy found in the blocks west of the San Andreas, when rotated back to their pretransform orientations, supports the hypothesis that much of the lower crust beneath southern and west-central California consists of anisotropic schists subcreted during subduction. The preservation of this pattern in a majority of the blocks suggests that subsequent translations, rotations, and internal deformation have had little impact on this basal crustal layer, consistent with it being a strong layer that is well coupled with the upper crust. The consistency of the signal supports the hypothesis that schists were moved trenchward as a cohesive package and deformation was concentrated at the upper and lower edges of the body. This also implies that motion along the San Andreas fault is not deforming the lower crust west of the fault, in a way that impacts its anisotropic signature. The two exceptions to this trend are found on the North American side of the fault in the San Bernardino block and western Mojave block. The lower-crustal anisotropy present in those blocks is likely related to transpression or motion along the San Andreas fault, although this conclusion requires further examination for confirmation.

When RF anisotropy orientations are compared to SKS anisotropy measurements (Polet and Kanamori, 2002) and bulk crustal anisotropy measurements made using ambient noise tomography (Lin et al., 2009), which both produce consistent results, one striking similarity between the three sets of orientations is that all of them have a strong E-W component. Polet and Kanamori (2002) suggested that their SKS measurements may result from a remnant subduction fabric, but they largely discounted this hypothesis due to the consistency of SKS measurements, Pn tomography, and stress measurements. Instead, they attribute their measurements to modern tectonic processes. Beyond the similarities in strong E-W components, these other methods do not closely match lower-crustal measurements, suggesting that there is little direct relation between mantle and lower-crustal anisotropy, as well as lower-crustal and bulk crust anisotropy, in the region. This could mean that modern deformation is localized above and below this strong lower-crustal layer.

The consistent pattern in lower-crustal anisotropy azimuths observed throughout Southern California suggests that use of receiver functions to examine crustal anisotropy has the potential not only to provide relevant information about the deformational history of other regions, but also to permit the analysis of anisotropy in a relatively narrow depth range rather than just the bulk crust. The biggest limitations of the technique are the requirement for sufficient azimuthal coverage and the applicability of the simplifying geological assumptions.

APPENDIX A

Salinian Block

The Salinian block or Salinian “composite terrane” (Vedder et al., 1983) is bounded to the northeast by the San Andreas fault and to the south by the Sur-Nacimiento fault (Mattinson, 1978). The block has undergone ∼315 km of northward transport since the mid-Miocene (Dickinson and Wernicke, 1997) and can be correlated structurally with rocks from the southern Sierra Nevada block (Dickinson and Butler, 1998; Ross, 1984). During the Laramide, the subducting slab remained at a shallow depth beneath Salinia, reaching a depth of only 35 km, ∼170 km inboard from the trench (Ducea et al., 2009). This removed lower-crustal material and underplated the lower crust with trench sediments. The lower crust within the Salinian block is believed to be composed of the Sierra de Salinas schist, which is correlative to the Pelona, Orocopia, and Rand schists that underlie much of Southern California and western Arizona (Ducea et al., 2009). Stations MPP, PHL, and PKD are located within the Salinian block.

San Gabriel Block

The San Gabriel block lies between the San Bernardino and Western Transverse Ranges blocks and contains the stations BFS, CHF, MWC, OSI, VCS, and most likely DEC (in the reconstruction, this station lies within the Western Transverse Ranges). The block is composed of Mesozoic and older igneous and metamorphic rocks thrust over the Pelona Schist (Jacobson, 1983; Jacobson et al., 1996). While this block has not experienced the rotation of the Western Transverse Ranges block, it has moved 270 km northward since the mid-Miocene and has most likely experienced the same ∼53–60 km shortening since ca. 3 Ma as calculated for the Western Transverse Ranges block directly to the west (Namson and Davis, 1988; McQuarrie and Wernicke, 2005).

Western Transverse Ranges

The Transverse Ranges consist of E-W–running mountain ranges uplifted due to transpression within the restraining bend in the San Andreas fault (Ehlig, 1981; Wright, 1991). Based on the reconstruction of McQuarrie and Wernicke (2005), we divided the Transverse Ranges into three separate crustal blocks for our interpretation: the Western Transverse Ranges block, the San Bernardino block, and the Central Transverse Ranges or San Gabriel block. The Transverse Ranges also consist of the Eastern Transverse Ranges block, which is not included in our interpretations.

The Western Transverse Ranges block consists of the region west of the San Gabriel Mountains and includes the southern part of the Santa Ynez Mountain (Fig. 1); stations DJJ, TOV, PAS, and PASC lie within this block. During the early Miocene, this block was located on the western side of the Baja block; since that time, it has moved ∼260–270 km north and rotated ∼90°–117° clockwise (Hornafius et al., 1986; Luyendyk et al., 1980; Luyendyk 1991). Crustal shortening of ∼53–60 km along a midcrustal detachment is believed to have occurred within this block since 3 Ma, resulting in high topography and a deformed crust (Namson and Davis, 1988).

Continental Borderland

Beginning in the early Miocene, the continental borderland, located off the coast of California (Fig. 1), experienced extension comparable in both style and magnitude to that seen in the Basin and Range Province of the southwestern United States (Bohannon and Geist, 1998). The province is separated into the inner and outer borderland (Crouch and Suppe, 1993); we concerned ourselves primarily with the inner borderland, because all the seismic stations used in this work fall within this area. Basement rocks in the inner borderland consist primarily of Mesozoic-age blueschists and greenschists from the Catalina terrane (Howell and Vedder, 1981; Wright, 1991). The topography of the inner borderland consists of several NW-trending submerged basins and ridges that formed during the mid-Miocene, in the wake of clockwise rotation of the Western Transverse Ranges (Howell and Vedder, 1981; Wright, 1991; Crouch and Suppe, 1993). Prior to rotation of the Transverse Ranges and the accompanying extension, in the borderlands, McQuarrie and Wernicke (2005) proposed that the continental borderland behaved as part of the Baja block. Deformation within the continental borderland occurred along NW-striking oblique normal faults (Wright, 1991). The stations CIA, CIU, SNCC, RPV, and FMP lie within the block.

Peninsular Ranges

In reconstructions of western North America, the Peninsular Ranges are considered part of the Baja block (McQuarrie and Wernicke, 2005), which has moved ∼276 km northward from 6 Ma to present (Oskin et al., 2001; Oskin and Stock, 2003). Stations CRY, KNW, RDM, SND, TRO, WMC, and YAQ are located within the Baja block. The Peninsular Ranges are a large batholith that extends 1000 km from Southern California to the tip of the Baja Peninsula (Silver and Chappell, 1988). For this study, we focus on the San Jacinto Mountains, located at the northern end of the range. The mountains are bifurcated by the San Jacinto fault, a right-lateral splay of the San Andreas fault. It has been argued that this fault formed at a compositional boundary between older, more mafic rocks to the west and younger, more felsic rocks to the east (Magistrale and Sanders, 1995), and that this boundary is related to structures that predate the batholith (Langenheim et al., 2004). A 10°W-dipping Moho has been identified across this boundary in the northern Peninsular Ranges (Lewis et al., 2000).

Mojave Block

The Mojave block is the part of the Mojave Desert that is bounded to the southwest by the San Andreas fault, to the north by the Garlock fault, and to the east by the southern edge of the Death Valley fault zone (Glazner et al., 2002). From ca. 24 Ma to present, the Mojave block has experienced two phases of deformation, early Miocene extension and volcanism, and late Tertiary right-lateral shear (e.g., McQuarrie and Wernicke, 2005). Early Miocene extension in the Mojave was focused in the central Mojave metamorphic core complex (Glazner et al., 1989; Walker et al., 1990; Martin et al., 1993; Fletcher et al., 1995; Glazner et al., 2002), which accommodated 40–50 km of E-W extension between 24 and 18 Ma (Glazner et al., 1989; Martin et al., 1993; Ingersoll et al., 1996). Post-extension deformation largely occurred along strike-slip faults that may have accommodated up to 100 km of shear since ca. 12 Ma (McQuarrie and Wernicke, 2005). The Mojave block contains the Eastern California shear zone, a 100-km-wide system of right-lateral faults formed due to the relative motion between the North American and Pacific plates (e.g., Savage et al., 1990, 2001). Geodetically, the Eastern California shear zone accommodates ∼25% of the relative plate motion between the North America and Pacific plates (Sauber et al., 1994; Miller et al., 2001; McClusky et al., 2001). Based on paleomagnetic data, it is argued that the northeastern Mojave has experienced up to 60° of clockwise rotation (Shermer et al., 1996; Luyendyk, 1991; Luyendyk et al., 1980). For this project, we divided the Mojave into eastern and western components separated by the Eastern California shear zone. Stations EDW2, LKL, and VTV lie in the western Mojave, and stations HEC, GSC, JVA, RRX, and TUQ lie in the east.

San Bernardino Block

The San Bernardino block consists primarily of the San Bernardino Mountains, and it contains the stations SBPX, BBR, as well as station SVD, which lies directly on the San Andreas fault but falls just west of the fault in the reconstruction of McQuarrie and Wernicke (2005). The geology of the San Bernardino block is strongly tied to the southern Mojave, with basement rocks in the San Bernardino block having direct correlatives to the immediately adjacent Mojave basement near Victorville (Stewart and Poole, 1974; Miller, 1981). Likewise, the displacement history of the San Bernardino block is proposed to be similar to the southern Mojave. The block moved to the northwest synchronous with right-lateral shear in the Mojave and rotation of the Eastern Transverse Ranges (e.g., McQuarrie and Wernicke, 2005) and has experienced an unknown amount of post-Miocene rotation (Luyendyk, 1991). The block is composed largely of Proterozoic and Mesozoic igneous and metamorphic rocks, overlain by Tertiary deposits (Langenheim and Powell, 2009). The Orocopia schist is present beneath much of the San Bernardino block (Powell, 1981).

Eastern Transverse Ranges Block

The Eastern Transverse Ranges block lies to the southeast of the San Bernardino block and contains the Little San Bernardino Mountains and the land between the Pinto Mountain fault and the San Andreas fault. Stations BLA and BEL lie within the block. The tectonic block has been rotated clockwise ∼41° in the past 10 m.y. Inversions run on the two stations located within the block do not produce consistent azimuths of anisotropy, and therefore they were not included in our interpretation for the region.

APPENDIX B

The value of η defines the curvature of the velocity “ellipsoid” between the Vp-fast and Vp-slow axes. Using the nomenclature of Love (1927, cited inBabuska and Cara, 1991), the elastic tensor for hexagonal anisotropy is: 
graphic
where 
graphic
 
graphic
 
graphic
 
graphic
 
graphic
(Okaya and Christensen, 2002), and the parameter η is defined as: 
graphic
(Sherrington et al., 2004).
Levin and Park (1997) used the parameters a, b, c, d, and e to define anisotropy, where: 
graphic
 
graphic

The variable ξ is the angle between the wave propagation and the axis of symmetry. The parameter a corresponds to average P velocity, b to the azimuthal variation in P velocity, c to anisotropy ellipsoid variations away from a true ellipsoid, d to the average S velocity, and e to the azimuthal variations in S velocity. For the anisotropy inversion, the velocity ellipsoid was assumed to be a true ellipsoid (c = 0), as has been assumed in several previous studies (Ozacar and Zandt, 2009; Sherrington et al., 2004; Levin and Park, 1997). The purpose of this assumption is to improve the inversion to calculate more reasonable anisotropy values. If η is kept independent of percent anisotropy, it is possible to produce a significant anisotropic signal with 0% anisotropy by deforming the velocity ellipsoid so that Vp-45° is equivalent to Vp-max. In assuming a pure ellipsoid, η becomes a function of percent anisotropy. Previous work calculating elastic tensors for the schists in the region has assumed hexagonal anisotropy (Godfrey et al., 2000). Further work is required to determine if significant perturbations from an ellipse are detectable with this technique. Relating η to percent anisotropy also allows us to approximate η while reducing the number of free parameters in the inversion, which in turn increases its stability.

We thank Mihai Ducea, Brad Hacker, and Arda Ozacar, who contributed to our understanding of regional geology and crustal anisotropy, and Vladim Levin, who reviewed an early version of this work. Arda Ozacar got us started looking at the Southern California data. We thank Andrew Frederiksen for sharing the original rasyum code, Kiriaki Xiluri and Steve Sorenson for help modifying it, and Andy Frassetto, Josh Calkins, and Hersh Gilbert for help with the Common Conversion Point codes. Christine Gans and Arda Ozacar provided useful feedback on an early version of the manuscript. We thank Jason Saleeby for his detailed review regarding the geology and tectonics of Southern California. His comments and suggested changes were instrumental in our revisions, but any remaining misinterpretations are strictly the responsibility of the authors. This work was funded by a grant from Southern California Earthquake Center and National Science Foundation (NSF) EAR Earthscope Program award 0745588. Figures 1 and 6 were made using Generic Mapping Tools (Wessel and Smith, 1995).

1GSA Data Repository Item 2011138, results showing the effects of inverting receiver-function data assuming anisotropy, a dipping layer, and anisotropy and a dipping layer, is available at www.geosociety.org/pubs/ft2011.htm, or on request from editing@geosociety.org, Documents Secretary, GSA, P.O. Box 9140, Boulder, CO 80301-9140, USA.