Complete synthetic seismograms for 3-D heterogeneous Earth models computed using modified DSM operators and their applicability to inversion for Earth structure

Details Complete synthetic seismograms for 3-D heterogeneous Earth models computed using modified DSM operators and their applicability to inversion for Earth structure Complete synthetic seismograms for 3-D heterogeneous Earth models computed using modified DSM operators and their applicability to inversion for Earth structure

Apr 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000pepi..119...25t&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 119, Issue 1-2, p. 25-36.

Physics

13

Scientific paper

We compute complete (including both body and surface waves) synthetic seismograms for laterally and vertically heterogeneous Earth models using the Direct Solution Method (DSM). We use the optimally accurate modified operators derived by Geller and Takeuchi [Geller, R.J., Takeuchi, N., 1995. A new method for computing highly accurate DSM synthetic seismograms. Geophys. J. Int. 123, 449-470] and extended to spherical coordinates by Takeuchi et al. [Takeuchi, N., Geller, R.J., Cummins, P.R., 1996. Highly accurate P-SV complete synthetic seismograms using modified DSM operators. Geophys. Res. Lett. 23, 1175-1178] and Cummins et al. [Cummins, P.R., Takeuchi, N., Geller, R.J., 1997. Computation of complete synthetic seismograms for laterally heterogenous models using the Direct Solution Method. Geophys. J. Int. 130, 1-16] for 1- and 3-D models, respectively. In this study we greatly reduce the CPU time by treating the laterally heterogeneous structure as a perturbation to a spherically symmetric model (i.e., using the Born approximation). Note, however, that (1) our methods do not require the use of the Born approximation and (2) the reference model for the Born approximation is not required to be spherically symmetric. The synthetic seismograms in this paper are computed using the first-order Born approximation. However, accuracy can be greatly improved by using higher order terms of the Born series; theoretical results are presented in this paper, and some preliminary numerical examples are presented in this volume by Igel et al. [Igel, H., Takeuchi, N., Geller, R.J., Megnin, C., Bunge, H.P., Clévédé, E., Dalkolmo, J., Romanowicz, B., 1998. The COSY project: verification of global seismic modeling algorithms, Phys. Earth Planet. Inter., this issue].

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