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Earthquake Rupture: Inverse Problem

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Encyclopedia of Solid Earth Geophysics

Part of the book series: Encyclopedia of Earth Sciences Series ((EESS))

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In seismology, as in all geophysics, an area of major interest is inverse problems. That is, given the effect, one would like to determine the cause. The inverse problem of earthquake source mechanics consists of analyzing seismograms to obtain detailed information on the earthquake rupturing process. In particular, scientists are interested in how the slip develops over the fault area during the time period that the two sides of the fault are moving past one another, at what speed do these two sides slide past, what the resulting stress drop is, as well as the speed at which rupture itself spreads out over the fault. Such information is essential for reliable seismic hazard assessment.

The solution of this problem is far from trivial, because it is unstable (Kostrov and Das, 1988), and from the computational point of view, this instability manifests itself as non-uniqueness of the solution. Adding constraints to the solution of the relevant equations has been shown to stabilize the...

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Bibliography

  • Aki, K., and Richards, P. G., 1980. Quantitative Seismology: Theory and Methods. New York: W.H. Freeman.

    Google Scholar 

  • Backus, G., and Gilbert, F., 1967. Numerical applications of a formalism for geophysical inverse problems. Geophysical Journal of the Royal Astronomical Society, 13, 247–276.

    Google Scholar 

  • Backus, G., and Gilbert, F., 1968. The resolving power of gross earth data. Geophysical Journal of the Royal Astronomical Society, 16, 169–205.

    Google Scholar 

  • Cohee, B. P., and Beroza, G. C., 1994. Slip distribution of the 1992 Landers earthquake and its implications for earthquake source mechanism. Bulletin. Seismological Society of America, 84, 692–712.

    Google Scholar 

  • Das, S., 2007. The need to study speed. Science, 317(5840), 905–906.

    Google Scholar 

  • Das, S., and Henry, C., 2003. Spatial relation between main earthquake slip and its aftershock distribution. Reviews of Geophysics, 41(3), 1013, doi:10.1029/2002RG000119, 2003.

    Google Scholar 

  • Das, S., and Kostrov, B. V., 1990. Inversion for seismic slip rate and distribution with stabilizing constraints: application to the 1986 Andreanof Islands earthquake. Journal of Geophysical Research, 95, 6899–6913.

    Google Scholar 

  • Das, S., and Kostrov, B. V., 1994. Diversity of solutions of the problem of earthquake faulting inversion. Application to SH waves for the great Macquarie Ridge earthquake. Physics of the Earth and Planetary Interiors, 85, 293–318.

    Google Scholar 

  • Das, S., and Suhadolc, P., 1996. On the inverse problem for earthquake rupture. The Haskell-type source model. Journal of Geophysical Research, 101, 5725–5738.

    Google Scholar 

  • Das, S., Suhadolc, P., and Kostrov, B. V., 1996. Realistic inversions to obtain gross properties of the earthquake faulting process, Special issue entitled Seismic Source Parameters: from Microearthquakes to Large Events, ed. C. Trifu. Tectonophysics, 261, 165–177.

    Google Scholar 

  • GEBCO, 2003. The GEBCO digital atlas, Centenary edition (CD-ROM). Liverpool: British Oceanographic Data Centre.

    Google Scholar 

  • Hartzell, S. H., and Heaton, T. H., 1983. Inversion of strong-ground motion and teleseismic waveform data for the fault rupture history of the 1979 Imperial Valley, California earthquake. Bulletin. Seismological Society of America, 73, 1553–1583.

    Google Scholar 

  • Hartzell, S., Stewart, G. S., and Mendoza, C., 1991. Comparison of L1 and L2 norms in a teleseismic waveform inversion for the slip history of the Loma Prieta, California, earthquake. Bulletin of the Seismological Society of America, 81, 1518–1539.

    Google Scholar 

  • Henry, C., Das, S., and Woodhouse, J. H., 2000. The great March 25, 1998 Antarctic Plate earthquake: moment tensor and rupture history. Journal of Geophysical Research, 105, 16097–16119.

    Google Scholar 

  • Kostrov, B. V., and Das, S., 1988. Principles of Earthquake Source Mechanics. Appl. Math. Mech. Ser, 30, 1241–1248. New York: Cambridge University Press.

    Google Scholar 

  • Lawson, C. L., and Hanson, R. J., 1974. Solving Least Squares Problems. Englewood Cliffs: Prentice-Hall.

    Google Scholar 

  • Mendoza, C., and Hartzell, S. H., 1988. Inversion for slip distribution using teleseismic P waveforms: North Palm Springs, Borah Peak, and Michoacan earthquakes. Bulletin. Seismological Society of America, 78, 1092–1111.

    Google Scholar 

  • Mendoza, C., and Hartzell, S. H., 1989. Slip distribution of the 19 September 1985, Michoacan, Mexico, earthquake: near-source and teleseismic constraints. Bulletin. Seismological Society of America, 79, 655–669.

    Google Scholar 

  • Olson, A. H., and Apsel, R. J., 1982. Finite faults and inverse theory with applications to the 1979 Imperial Valley earthquake. Bulletin. Seismological Society of America, 72, 1969–2001.

    Google Scholar 

  • Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T., 1986. Numerical Recipes: The Art of Scientific Computing. New York: Cambridge University Press.

    Google Scholar 

  • Robinson, D. P., Brough, C., and Das, S., 2006a. The M w 7.8 2001 Kunlunshan earthquake: extreme rupture speed variability and effect of fault geometry. Journal of Geophysical Research, 111, B08303, doi:10.1029/2005JB004137.

    Google Scholar 

  • Robinson, D. P., Das, S., and Watts, A. B., 2006b. Earthquake rupture stalled by subducting fracture zone. Science, 312(5777), 1203–1205.

    Google Scholar 

  • Sarao, A., Das, S., and Suhadolc, P., 1998. Effect of non-uniform station coverage on the inversion for seismic moment release history and distribution for a Haskell-type rupture model. Journal of Seismology, 2, 1–25.

    Google Scholar 

  • Tarantola, A., 1987. Inverse Problem Theory. Methods for Data Fitting and Model Parameter Estimation. New York: Elsevier.

    Google Scholar 

  • Wald, D. J., and Heaton, T. H., 1994. Spatial and temporal distribution of slip for the 1992 Landers, California, earthquake. Bulletin. Seismological Society of America, 84, 668–691.

    Google Scholar 

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Correspondence to Shamita Das .

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Das, S. (2011). Earthquake Rupture: Inverse Problem. In: Gupta, H.K. (eds) Encyclopedia of Solid Earth Geophysics. Encyclopedia of Earth Sciences Series. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-8702-7_142

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