Bulletin of the Seismological Society of America
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Bulletin of the Seismological Society of America; October 1995; v. 85; no. 5; p. 1445-1455
© 1995 Seismological Society of America
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Waveform inversion for determining the boundary shape of a basin structure

Shin Aoi, Tomotaka Iwata, Kojiro Irikura and Francisco J. Sánchez-Sesma

Disaster Prevention Research Institute Kyoto University, Gokasho, Uji, Kyoto 611, Japan
Instituto de Ingenieria UNAM Cd. Universitaria Apdo., 70-472 Coyoacan 04510 México, D.F., México

Abstract

We developed a method for estimating the boundary shape of a basin structure using seismograms observed on the surface. With this waveform inversion scheme, an accurate estimation is possible with data from a few surface stations, because seismic waves are affected not only by the local structure beneath the observation station but also by the entire basin structure. Numerical experiments were successfully carried out to determine the boundary shapes from observed surface records for a two-dimensional SH problem. For simplicity, only the boundary shape, that is thickness variations in the sedimental layer, was used as model parameters. This nonlinear problem is solved iteratively. To avoid the instabilities resulting from inappropriate initial models or from a large number of parameters, a hierarchical method, in which the number of parameters are increased gradually, is developed. We also successfully performed the inversions when the given parameters contain some errors and when the data contain noise.




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