Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-28T11:15:58.043Z Has data issue: false hasContentIssue false

18 - Geodetic Inversions and Applications in Geodynamics

from Part III - ‘Solid’ Earth Applications: From the Surface to the Core

Published online by Cambridge University Press:  20 June 2023

By
Grigory M. Steblov  and
Irina S. Vladimirova
Edited by
Alik Ismail-Zadeh ,
Fabio Castelli ,
Dylan Jones  and
Sabrina Sanchez
Alik Ismail-Zadeh
Affiliation:
Karlsruhe Institute of Technology, Germany
Fabio Castelli
Affiliation:
Università degli Studi, Florence
Dylan Jones
Affiliation:
University of Toronto
Sabrina Sanchez
Affiliation:
Max Planck Institute for Solar System Research, Germany
Get access

Summary

Abstract: The primary observables of the Global Positioning System (GPS) ground tracking sites for geodynamics are the Earth’s surface motions, and their geophysical interpretation is based on the numerical models of various tectonic processes. The key issues for geophysical interpretation of the GPS observations are adequate mechanical models of brittle and ductile rock behaviour used to predict surface motions related to various tectonic processes, and the corresponding inversion techniques which allow separation of the processes, and evaluation of their parameters. For large-scale heterogeneous processes, the inversion of the GPS observations requires regularisation because it implies evaluation of some complicated distributed underground motions from their discrete manifestation at the surface. One of the fastest growing applications of the satellite geodetic observations is investigation of the seismotectonic deformation associated with great earthquakes worldwide at all stages of the seismic cycle – inter-seismic, co-seismic, post-seismic. The inversion techniques based on dislocation models in elastic or viscoelastic medium is one of the approaches that may be widely used for GPS-based studies of various seismotectonic deformations.

Keywords

dislocation modelfinite faultgeodynamicsinverse probleminterplate lockingnumerical modelingrheologysatellite geodesyseismic cyclesubduction earthquake
Type
Chapter
Information
Applications of Data Assimilation and Inverse Problems in the Earth Sciences , pp. 278 - 292
Publisher: Cambridge University Press
Print publication year: 2023

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Argus, D. F., and Gordon, R. G. (1991). No-net-rotation model of current plate velocities incorporating plate motion model NUVEL-1. Geophysical Research Letters, 18(11), 2039–2042. https://doi.org/10.1029/91GL01532.CrossRefGoogle Scholar
Argus, D. F., and Heflin, M. (1995). Plate motion and crustal deformation estimated with geode-tic data from the Global Positioning System. Geophysical Research Letters, 22(15), 1973–6. https://doi.org/10.1029/95GL02006.Google Scholar
Barbot, S., and Fialko, Y. (2010). Fourier-domain Green’s function for an elastic semi-infinite solid under gravity, with applications to earthquake and volcano deformation. Geophysical Journal International, 182, 568–82.Google Scholar
Bourgeois, J., Pinegina, T., Razhegaeva, N. et al. (2007). Tsunami runup in the middle Kuril Islands from the great earthquake of 15 Nov 2006. Eos Transactions of the American Geophysical Union, 88(52), Abstract S51C-02.Google Scholar
Bürgmann, R., Kogan, M. G., Levin, V. E. et al. (2001). Rapid aseismic moment release following the 5 December 1997 Kronotsky, Kamchatka, Earthquake. Geophysical Research Letters, 28, 1331–4. https://doi.org/10.1029/2000GL012350.Google Scholar
Bürgmann, R., Kogan, M. G., Steblov, G. M. et al. (2005). Interseismic coupling and asperity distribution along the Kamchatka subduction zone. Journal of Geophysical Research, 110, B07405. https://doi.org/10.1029/2005JB003648.CrossRefGoogle Scholar
Das, S., and Henry, C. (2003). Spatial relation between main earthquake slip and its aftershock distribution. Reviews of Geophysics, 41(3), 1–26.Google Scholar
DeMets, C., Gordon, R. G., Argus, D. F., and Stein, S. (1994). Effect of recent revisions to the geomagnetic reversal time scale on estimates of current plate motions. Geophysical Research Letters, 21(20), 2191–4.Google Scholar
DeMets, C., Gordon, R. G., and Argus, D. F. (2010). Geologically current plate motions. Geophysical Research Letters, 181, 1–80.Google Scholar
Dixon, T. H. (1991). An introduction to the Global Positioning System and some geological applications. Reviews of Geophysics 29(2), 249–76.Google Scholar
Dziewoński, A. M., and Anderson, D. L. (1981). Preliminary reference earth model, Physics of the Earth and Planetary Interiors 25, 297–356. https://doi.org/10.1016/0031-9201(81)90046-7.CrossRefGoogle Scholar
Engdahl, E. R., and Villaseñor, A. (2002). Global Seismicity: 1900–1999. In Lee, W. H. K. et al., eds., International Handbook of Earthquake Engineering and Seismology. Amsterdam: Academic Press, pp. 665–90.Google Scholar
Fedotov, S. A. (1965). Regularities of distribution of large earthquakes of Kamchatka, Kuril Islands and North-Eastern Japan. Seismic microzoning. Transactions of the Institute of Physics of the Earth of the USSR Academy of Sciences, 36, 66–93 (in Russian).Google Scholar
Freed, A. M., Bürgmann, R., and Herring, T. (2007). Far-reaching transient motions after Mojave earthquakes require broad mantle flow beneath a strong crust. Geophysical Research Letters, 34. https://doi.org/10.1029/2007GL030959.Google Scholar
Freymueller, J. T., and Beavan, J. (1999). Absence of strain accumulation in the western Shumagin segment of the Alaska subduction zone. Geophysical Research Letters, 26, 3233–6.Google Scholar
Gill, P. E., Murray, W., Saunders, M. A., and Wright, M.H. (1986). User’s Guide for NPSOL (Version 4.0): A Fortran Package for Nonlinear Programming, Report SOL 86–2, Department of Operations Research, Stanford University.Google Scholar
Govers, R., Furlong, K. P., van de Wiel, L., Herman, M. W., and Broerse, T. (2018). The geodetic signature of the earthquake cycle at subduction zones: Model constraints on the deep processes. Reviews of Geophysics, 56, 6–49. https://doi.org/10.1002/2017RG000586.Google Scholar
He, Y.-M., Wang, W.-M., and Yao, Z.-X. (2003). Static deformation due to shear and tensile faults in a layered half-space. Bulletin of the Seismological Society of America, 93, 2253–63.Google Scholar
Helmstetter, A., and Shaw, B. E. (2009). Afterslip and aftershocks in the rate-and-state friction law. Journal of Geophysical Research, 114(B01308), 1−24.Google Scholar
International Seismological Centre (2022). On-line Bulletin. https://doi.org/10.31905/D808B830.Google Scholar
Ismail-Zadeh, A., and Tackley, P. (2010). Computational Methods for Geodynamics. Cambridge: Cambridge University Press.Google Scholar
Kogan, M. G., and Steblov, G. M. (2008). Current global plate kinematics from GPS (1995–2007) with the plate-consistent reference frame. Journal of Geophysical Research, 113(B04416). https://doi.org/10.1029/2007JB005353.Google Scholar
Kogan, M. G., Bürgmann, R., Vasilenko, N. F. et al. (2003). The 2000 Mw 6.8 Uglegorsk earthquake and regional plate boundary deformation of Sakhalin from geodetic data. Geophysical Research Letters, 30(3), 1102. https://doi.org/10.1029/2002GL016399.CrossRefGoogle Scholar
Kuchay, O. A. (1982). Spatial Regularities of Aftershock Deformation of the Source Region of a Strong Earthquake. Izv., Physics of the Solid Earth, 10, 62–7. (in Russian)Google Scholar
Lay, T., and Kanamori, H. (1981). An asperity model of large earthquake sequences. In Simpson, D. W. and Richards, P.G., eds., Earthquake Prediction, vol. 4. Washington, DC: American Geophysical Union, pp. 579–92. https://doi.org/10.1029/ME004p0579.Google Scholar
Lay, T., Kanamori, H., Ammon, C. J. et al. (2009). The 2006–2007 Kuril Islands great earthquake sequence. Journal of Geophysical Research, 114(B11308), 1–31.Google Scholar
Lay, T., Ammon, С. J., Kanamori, H., Kim, M. J., and Xue, L. (2011). Possible large near-trench slip during the 2011 Mw 9.0 off the Pacific coast of Tohoku Earthquake. Earth, Planets and Space, 63, 713–18.CrossRefGoogle Scholar
Lévêque, J.-J., Rivera, L., and Wittlinger, G. (1993). On the use of the checker-board test to assess the resolution of tomographic inversions. Geophysical Journal International, 115, 313–18.Google Scholar
Lundgren, P., Protti, M., Donnellan, A. et al. (1999). Seismic cycle and plate margin deformation in Costa Rica: GPS observations from 1994 to 1997. Journal of Geophysical Research, 104(28), 915–26.CrossRefGoogle Scholar
Marone, C. J., Scholz, C. H., and Bilham, R. G. (1991). On the mechanics of earthquake afterslip. Journal of Geophysical Research, 96(B5), 8441–52.CrossRefGoogle Scholar
Masse, R. P., and Needham, R. E. (1989). NEIC – the National Earthquake Information Center. Earthquakes & Volcanoes (USGS), 21(1), 4–44.Google Scholar
Mavrommatis, A. P., Segall, P., Uchida, N., and Johnson, K. M. (2015). Long-term acceleration of aseismic slip preceding the Mw 9 Tohoku-oki earthquake: Constraints from repeating earthquakes. Geophysical Research Letters, 42, 9717–25. https://doi.org/10.1002/2015GL066069.Google Scholar
Mazzotti, S., Le Pichon, X., and Henry, P. (2000). Full interseismic locking of the Nankai and Japan-west Kurile subduction zones: An analysis of uniform elastic strain accumulation in Japan constrained by permanent GPS. Journal of Geophysical Research, 105, 13159–77.CrossRefGoogle Scholar
Molchan, G. M., and Dmitrieva, O. E. (1992). Aftershock identification: Methods and new approaches. Geophysical Journal International, 109, 501–16. https://doi.org/10.1111/j.1365-246X.1992.tb00113.x.CrossRefGoogle Scholar
Muto, J., Moore, J. D. P., Barbot, S. et al. (2019). Coupled afterslip and transient mantle flow after the 2011 Tohoku earthquake. Science Advances, 5(9), eaaw1164. https://doi.org/10.1126/sciadv.aaw1164.PMID:31579819;PMCID:PMC6760927.Google Scholar
Namegaya, Y., and Satake, K. (2014). Reexamination of the A.D. 869 Jogan earthquake size from tsunami deposit distribution, simulated flow depth, and velocity. Geophysical Research Letters, 41, 2297–303.CrossRefGoogle Scholar
Okada, Y. (1985). Surface deformation due to shear and tensile faults in a half-space. Bulletin of the Seismological Society of America, 75(4), 1135–54.Google Scholar
Okada, Y. (1992). Internal deformation due to shear and tensile faults in a half-space. Bulletin of the Seismological Society of America, 82(2), 1018–40.Google Scholar
Oleskevich, D., Hyndman, R. D., and Wang, K. (1999). The updip and downdip limits of subduction earthquakes: Thermal and structural models of Cascadia, south Alaska, S.W. Japan, and Chile. Journal of Geophysical Research, 104(14), 965–91.CrossRefGoogle Scholar
Pacheco, J. F., Sykes, L. R., and Scholz, C. H. (1993). Nature of seismic coupling along simple plate boundaries of the subduction type. Journal of Geophysical Research, 98, 14,133–59.Google Scholar
Peacock, S. M. (1996). Thermal and petrologic structure of subduction zones. In Bebout, G. E., Scholl, D. W., Kirby, S. H., and Platt, J. P., eds., Subduction: Top to Bottom. Geophysical Monograph 96. Washington, DC: American Geophysical Union, pp.119–33. https://doi.org/10.1029/GM096p0119.Google Scholar
Peltzer, G., Rosen, P. A., Rogez, P., and Hudnut, K. (1996). Postseismic rebound in fault step-overs caused by pore fluid flow. Science, 273, 1202–4. https://doi.org/10.1126/science.273.5279.1202.Google Scholar
Perfettini, H., and Avouac, J.-P. (2004). Stress transfer and strain rate variations during the seismic cycle. Journal of Geophysical Research, 109, B06402. https://doi.org/10.1029/2003JB002917.Google Scholar
Perfettini, H., Avouac, J.-P., and Ruegg, J.-C. (2005). Geodetic displacements and aftershocks following the 2001 Mw = 8.4 Peru earthquake: Implications for the mechanics of the earthquake cycle along subduction zones. Journal of Geophysical Research, 110, B09404. https://doi.org/10.1029/2004JB003522.Google Scholar
Piersanti, A., Spada, G., Sabadini, R., and Bonafede, M. (1995). Global postseismic deformation. Geophysical Journal International, 120, 544–66.Google Scholar
Pollitz, F. F. (1996). Coseismic deformation from earthquake faulting on a layered spherical Earth. Geophysical Journal International, 125, 1–14.CrossRefGoogle Scholar
Pollitz, F. F. (1997). Gravitational viscoelastic postseismic relaxation on a layered spherical Earth. Journal of Geophysical Research, 102, 17921–41.CrossRefGoogle Scholar
Pollitz, F.F. (2019). Lithosphere and shallow asthenosphere rheology from observations of post-earthquake relaxation. Physics of the Earth and Planetary Interiors, 293. https://doi.org/10.1016/j.pepi.2019.106271.CrossRefGoogle Scholar
Pollitz, F., Banerjee, P., Grijalva, K., Nagarajan, B., and Bürgmann, R. (2008). Effect of 3-D viscoelastic structure on post-seismic relaxation from the 2004 M = 9.2 Sumatra earthquake. Geophysical Journal International, 173, 189–204. https://doi.org/10.1111/j.1365-246X.2007.03666.x.Google Scholar
Press, W. H., Teukolsky, S. A., Wetterling, W. T., and Flannery, B. P. (2007). Numerical Recipes: The Art of Scientific Computing, 3rd ed. New York: Cambridge University Press.Google Scholar
Pritchard, M. E., and Simons, M. (2006). An aseismic slip pulse in northern Chile and along-strike variations in seismogenic behavior. Journal of Geophysical Research, 111, 1–14.Google Scholar
Riznichenko, Y. V. (1985). Problems of Seismology: Selected Works. Moscow: Nauka (in Russian).Google Scholar
Rundle, J. B. (1980). Static elastic-gravitational deformation of a layered half-space by point couple sources. Journal of Geophysical Research, 85, 5354–63.Google Scholar
Savage, J. C. (1983). A dislocation model of strain accumulation and release at a subduction zone. Journal of Geophysical Research, 88, 4984–96. https://doi.org/10.1029/JB088IB06P04984.Google Scholar
Savage, J. C., Svarc, J. L., and Yu, S.-B. (2005). Postseismic relaxation and transient creep. Journal of Geophysical Research, 110, B11402. https://doi.org/10.1029/2005JB003687.Google Scholar
Scholz, C. H. (1998). Earthquakes and friction laws. Nature, 391, 37−42.Google Scholar
Scholz, C. H. (1988). The brittle-plastic transition and the depth of seismic faulting. Geologische Rundschau, 77, 319–28.CrossRefGoogle Scholar
Scholz, C. H. (2019). The Mechanics of Earthquakes and Faulting, 3rd ed. Cambridge: Cambridge University Press.Google Scholar
Song, T.-R. A., and Simons, M. (2003). Large trench-parallel gravity variations predict seismogenic behaviour in subduction zones. Science, 301, 630–3.CrossRefGoogle ScholarPubMed
Sun, Т., Wang, К., Iinuma, T. et al. (2014). Prevalence of viscoelastic relaxation after the 2011 Tohoku-oki earthquake. Nature, 514(7520), 84–87.CrossRefGoogle ScholarPubMed
Sun, T., and Wang, K. (2015). Viscoelastic relaxation following subduction earthquakes and its effects on afterslip determination. Journal of Geophysical Research: Solid Earth, 120(2), 1329–44.Google Scholar
Tanaka, Y. (2013). Theoretical computation of long-term postseismic relaxation due to a great earthquake using a spherically symmetric viscoelastic Earth model. Journal of the Geodetic Society of Japan, 59, 1–10.Google Scholar
Tichelaar, B. W., and Ruff, L. J. (1993). Depth of seismic coupling along subduction zones. Journal of Geophysical Research, 98, 2017–37.Google Scholar
Turcotte, D. L., and Schubert, D. (2001). Geodynamics, 2nd ed. Cambridge: Cambridge University Press.Google Scholar
Vladimirova, I. S., Lobkovsky, L. I., Gabsatarov, Y. V. et al. (2019). Source data for Vladimirova et al. (2020). Patterns of seismic cycle in the Kuril Island arc from GPS observations. Pure and Applied Geophysics, figshare, Dataset. https://doi.org/10.6084/m9.figshare.10028582.v2.Google Scholar
Wang, K., and Dixon, T. H. (2004). Coupling semantics and science in earthquake research. EOS Transactions of the American Geophysical Union, 85, 180–1.Google Scholar
Wang, K., Hu, Y., and He, J. (2012). Deformation cycles of subduction earthquakes in a viscoelastic Earth. Nature, 484, 327–32.Google Scholar
Wang, L. (2010). Analysis of Postseismic Processes: Afterslip, Viscoelastic Relaxation and Aftershocks. Ph.D. thesis, Institute of Geology, Mineralogy and Geophysics. Ruhr University Bochum, Germany.Google Scholar
Wang, R., Martin, F. L., and Roth, F. (2003). Computation of deformation induced by earthquakes in a multi-layered elastic crust: FORTRAN programs EDGRN/EDCMP. Computers & Geosciences, 29(2), 195–207.Google Scholar
Wells, R. E., Blakely, R. J., Sugiyama, Y., Scholl, D. W., and Dinterman, P. A. (2003). Basin-centered asperities in great subduction zone earthquakes: A link between slip, subsidence, and subduction erosion? Journal of Geophysical Research, 108(B10), 2507. https://doi.org/10.1029/2002JB002072.Google Scholar
Wessel, P., Luis, J. F., Uieda, L. et al. (2019). The generic mapping tools, version 6. Geochemistry, Geophysics, Geosystems, 20, 5556–64. https://doi.org/10.1029/2019GC008515CrossRefGoogle Scholar
Zhou, X., Cambiotti, G., Sun, W. K., and Sabadini, R. (2018). Co-seismic slip distribution of the 2011 Tohoku (MW 9.0) earthquake inverted from GPS and space-borne gravimetric data. Earth and Planetary Physics, 2, 120–38. http://doi.org/10.26464/epp2018013.Google Scholar
Yamanaka, Y., and Kikuchi, M. (2004). Asperity map along the subduction zone in northeastern Japan inferred from regional seismic data. Journal of Geophysical Research, 109, B07307. https://doi.org/10.1029/2003JB002683.Google Scholar
Yamazaki, Y., Cheung, K. F., and Lay, T. (2018). A self-consistent fault slip model for the 2011 Tohoku earthquake and tsunami. Journal of Geophysical Research: Solid Earth, 123, 1435–8. https://doi.org/10.1002/2017JB014749.Google Scholar
Yokota, Y., Koketsu, K., Fujii, Y. et al. (2011). Joint inversion of strong motion, teleseismic, geodetic, and tsunami datasets for the rupture process of the 2011 Tohoku earthquake. Geophysical Research Letters, 38, L00G21. https://doi.org/10.1029/2011GL050098.Google Scholar
Zelt, C. A., Azaria, A., and Levander, A. (2006). 3D seismic refraction traveltime tomography at a ground water contamination site. Geophysics, 71(5), H67–H78.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×