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Joint Inversion of Seismic and Magnetotelluric Data in the Parkfield Region of California Using the Normalized Cross-Gradient Constraint

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Abstract

We present jointly inverted models of P-wave velocity (Vp) and electrical resistivity for a two-dimensional profile centered on the San Andreas Fault Observatory at Depth (SAFOD). Significant structural similarity between main features of the separately inverted Vp and resistivity models is exploited by carrying out a joint inversion of the two datasets using the normalized cross-gradient constraint. This constraint favors structurally similar Vp and resistivity images that adequately fit the seismic and magnetotelluric (MT) datasets. The new inversion code, tomoDDMT, merges the seismic inversion code tomoDD and the forward modeling and sensitivity kernel subroutines of the MT inversion code OCCAM2DMT. TomoDDMT is tested on a synthetic dataset and demonstrates the code’s ability to more accurately resolve features of the input synthetic structure relative to the separately inverted resistivity and velocity models. Using tomoDDMT, we are able to resolve a number of key issues raised during drilling at SAFOD. We are able to infer the distribution of several geologic units including the Salinian granitoids, the Great Valley sequence, and the Franciscan Formation. The distribution and transport of fluids at both shallow and great depths is also examined. Low values of velocity/resistivity attributed to a feature known as the Eastern Conductor (EC) can be explained in two ways: the EC is a brine-filled, high porosity region, or this region is composed largely of clay-rich shales of the Franciscan. The Eastern Wall, which lies immediately adjacent to the EC, is unlikely to be a fluid pathway into the San Andreas Fault’s seismogenic zone due to its observed higher resistivity and velocity values.

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References

  • Archie, G.E. (1942) The electrical resistivity log as an aid in determining some reservoir characteristics, Trans. Am. Inst. Mining Met. Eng., 146, 54–62.

  • Aster, R., Borchers, B., and Thurber, C., 2013, Parameter Estimation and Inverse Problems, Elsevier Academic Press.

  • Avseth, P., Mukerji, T. and Mavko, G., 2005, Quantitative seismic interpretation; applying rock physics tools to reduce interpretation risk, Cambridge University Press.

  • Becken, M., Ritter, O., Bedrosian, P., and Weckmann, U., 2011, Correlation between deep fluids, tremor, and creep along the central San Andreas Fault, Nature, 480, 87–90.

  • Bennington, N., Thurber, C., and Roecker, S., 2008, Three-dimensional seismic attenuation structure around the SAFOD site, Parkfield, California, Bulletin of the Seismological Society of America, 98, 2934–47.

  • Bennington, N., Thurber, C., Peng, Z., Zhang, H., & Zhao, P., 2013, Incorporating fault zone head wave and direct wave secondary arrival times into seismic tomography: Application at Parkfield, California, Journal of Geophysical Research: Solid Earth, 118, 1008–1014.

  • Bleibinhaus, F., Hole, J., and Lester, R., 2007, Structure of the California Coast Ranges and San Andreas Fault at SAFOD from seismic waveform inversion and reflection imaging, Journal of Geophysical Research, 112, B06315.

  • Bradbury, K., Barton, D., Solum, J., Drager, D., and Evans, J., 2007, Mineralogic and textural analyses of drill cuttings from the San Andreas Fault Observatory at Depth (SAFOD) boreholes; Initial interpretations of fault zone composition and constraints on geologic models, Geosphere, 3, 299–318.

  • Brocher, T., 2005, Empirical relations between elastic wavespeeds and density in the Earth’s crust, Bull. Seismol. Soc. Am., 95, 2081–2092.

  • Catchings, R., Rymer, R., Goldman, M., Hole, J., Huggins, R., and Lippus, C., 2002, High-resolution seismic velocities and shallow structure of the San Andreas Fault zone at Middle Mountain, Parkfield, California, Bull. Seismol. Soc. Am., 92, 2493–2503.

  • Chavarria, J., Malin, P., Catchings, R., and Eylon, S., 2003, A look inside the San Andreas Fault at Parkfield through vertical seismic profiling, Science, 302, 1746–1748.

  • Constable, S., Parker, R., and Constable, C., 1987, Occam’s Inversion; A practical algorithm for generating smooth models from electromagnetic sounding data, Geophysics, 52, 289–300.

  • de Groot-Hedlin, C. D., and Constable, S., 1990, Occam’s Inversion to generate smooth, two-dimensional models from magnetotelluric data, Geophysics, 55, 1613–1624.

  • de Lugao, P.P, Wannamaker, P.E., 1996, Calculating the two-dimensional magnetotelluric Jacobian in finite elements using reciprocity, Geophys. Journ. Intl., 127, 806–810.

  • Delleur, J., 1999, Elementary groundwater flow and transport processes, The handbook of groundwater engineering. Ed. Jacques W. Delleur. United States (USA): CRC Press, United States (USA).

  • Du, W., Thurber, C., and Eberhart-Phillips, D., 2004, Earthquake relocation using cross-correlation time delay estimates verified with the bispectrum method, Bull. Seismol. Soc. Am., 94, 856–866.

  • Eberhart-Phillips, D., Stanley, W., Rodriguez, B., and Lutter, W., 1995, Surface seismic and electrical methods to detect fluids related to faulting, J. Geophys. Res., 100, 12,919–12,936.

  • Ernst, W., 1970, Tectonic contact between the Franciscan mélange and the Great Valley sequence- Crustal expression of a late Mesozoic Benioff zone, J. Geophys. Res., 75, 886–901.

  • Gallardo, L., and Meju, M., 2007, Joint two-dimensional cross-gradient imaging of magnetotelluric and seismic traveltime data for structural and lithological classification, Geophysical Journal International, 169, 1261–1672.

  • Gallardo, L., and Meju, M., 2004, Joint two-dimensional DC resistivity and seismic travel time inversion with cross-gradients constraints, Journal of Geophysical Research, 109, 11.

  • Haber, E., and Oldenburg, D., 1997, Joint inversion; a structural approach, Inverse Problems, 13, 63–77.

  • Hole, J., Catchings, R., St Clair, K., Ryer, M., and Okaya, D., 2001, Steep-dip seismic imaging of the shallow San Andreas Fault near Parkfield, Science, 294, 1513–1515.

  • Hole, J., Ryberg, T., Fuis, G., Bleibinhaus, F., Sharma, A., 2006, Structure of the San Andreas Fault zone at SAFOD from a seismic refraction survey, Geophys. Res. Lett, 33, 4.

  • Johnston, K., 1987, Physical properties of shales at temperature and pressure, Geophysics, 52, 1391.

  • Johnston, J., and Christensen, N., 1995, Seismic anisotropy of shales, Journal of Geophysical Research, 100, 5991–6003.

  • McPhee, D., Jachens, R., and Wentworth, C., 2004, Crustal Structure across the San Andreas Fault at the SAFOD site from potential field and geologic studies; Preparing for the San Andreas Fault observatory at depth; Earthquakes and crustal structure, Geophysical Research Letters, 31, 4.

  • Page, B., Thompson, G., and Coleman, R., 1998, Late Cenozoic tectonics of the central and southern Coast Ranges of California, Geological Society of America Bulletin, 110, 846–876.

  • Paige, C., and Saunders, M., 1982, LSQR: An algorithm for sparse linear equations and sparse least squares, ACM Transactions on Mathematical Software, 8, 43–71.

  • Palacky, G., 1987, Clay mapping using electromagnetic methods, First Break, 5, 295–306.

  • Pesicek, J., C. Thurber, S. Widiyantoro, H. Zhang, and H. DeShon, 2010, Sharpening the tomographic image of the subducting slab below Sumatra, the Andaman Islands, and Burma, Geophys. Journ. Intl., 182, 433–453.

  • Rodi, W., and Mackie, R., 2001, Nonlinear conjugate gradients algorithm for 2-D magnetotelluric inversion, Geophysics, 66, 174.

  • Roecker, S., Thurber, C., McPhee, D., 2004, Joint inversion of gravity and arrival time data from Parkfield; New constraints on structure and hypocenter locations near the SAFOD drill site; Preparing for the San Andreas Fault Observatory at Depth; Earthquakes and Crustal Structure, Geophysical Research Letters, 31, 28.

  • Sharma, P., 1997, Environmental and Engineering Geophysics, Cambridge University Press, New York, NY, United States (USA).

  • Thurber, C., Roecker, S., Roberts, K., Gold, M., Powell, L., and Rittger, K., 2003, Earthquake locations and three-dimensional fault zone structure along the creeping section of the San Andreas Fault near Parkfield, CA; Preparing for SAFOD, Geophysical Research Letters, 30, 12-1–12-6.

  • Thurber, C., Roecker, S., Zhang, H., Baher, S., and Ellsworth, W., 2004, Fine-scale structure of the San Andreas Fault zone and location of the SAFOD target earthquakes, Geophysical Research Letters, 31, L12S02.

  • Toomey, D., and Foulger, G., 1989, Tomographic inversion of local earthquake data from the Hengill-Grensdalur central volcano complex, Iceland, Journal of Geophysical Research, 94, 17497–17510.

  • Tosoya, C., and Nur, A., 1982, Effects of diagenesis and clays on compressional velocities in rocks, Geophys. Res. Lett., 9, 5–8.

  • Unsworth, M., and Bedrosian, P., 2004, Electrical resistivity structure at the SAFOD site from magnetotelluric exploration, Geophys. Res. Lett., 31, L12S05.

  • Wannamaker, P.E., Stodt, J.A., Rijo, L., 1987. A stable fnite-element solution for two- dimensional magnetotelluric modeling. Geophys J. Roy. Astr., 88, 277–296.

  • Zhang, H., and Thurber, C., 2003, Double-difference tomography; the method and its application to the Hayward fault, California, Bulletin of the Seismological Society of America, 93, 1875–1889.

  • Zhang, H., Thurber, C., and Bedrosian, P., 2009, Joint inversion for Vp, Vs, and Vp/Vs at SAFOD, Parkfield, California, Geochemistry, Geophysics, Geosystems, 10, Q11002.

  • Zoback, M.D., Hickman, S., and Ellsworth, W., 2010, Scientific Drilling into the San Andreas Fault, EOS, 91, 22, 197–198.

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Acknowledgments

This material is based upon work supported by the National Science Foundation under Award Number EAR-0838249 and by a Morgridge Distinguished Graduate Fellowship in Geoscience at the University of Wisconsin-Madison. The instruments used in the Parkfield field program were provided by the PASSCAL facility of the Incorporated Research Institutions for Seismology (IRIS) through the PASSCAL Instrument Center at New Mexico Tech. The facilities of the IRIS Consortium were supported by the National Science Foundation under Cooperative Agreement EAR-1261681. Any use of trade, product, or firm names is for descriptive purposes only and does not imply endorsement by the U.S. Government. This research is also partly supported by the Chinese government’s executive program for exploring the deep interior beneath the Chinese continent (SinoProbe-02).

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Correspondence to Ninfa L. Bennington.

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Bennington, N.L., Zhang, H., Thurber, C.H. et al. Joint Inversion of Seismic and Magnetotelluric Data in the Parkfield Region of California Using the Normalized Cross-Gradient Constraint. Pure Appl. Geophys. 172, 1033–1052 (2015). https://doi.org/10.1007/s00024-014-1002-9

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