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Simulation of the Planar Free Surface with Near-Surface Lateral Discontinuities in the Finite-Difference Modeling of Seismic Motion

Department of Physics of the Earth and Planets
Faculty of Mathematics, Physics, and Informatics
Comenius University
Mlynská dolina F1
842 48 Bratislava, Slovak Republic
(P.M., M.G.)
Geophysical Institute
Slovak Academy of Sciences
Dúbravská cesta 9
845 28 Bratislava,
Slovak Republic
(J.K.)

Manuscript received 12 March 2003.

Kristek et al. (2002) developed a technique for simulating the planar free surface in the 3D fourth-order staggered-grid finite-difference (FD) modeling of seismic motion. The technique is based on (1) explicit application of zero values of the stress-tensor components at the free surface and (2) adjusted FD approximations (AFDAs) to vertical derivatives at and near the free surface. The technique was shown to be more accurate and efficient than the standard stress-imaging technique in 1D models.

In this study, we tested accuracy of the AFDA technique in media with lateral material discontinuities reaching the free surface. We compared the FD synthetics with synthetics calculated by the standard finite-element (FE) method because the FE method naturally and sufficiently accurately satisfies the boundary conditions at the free surface and the traction interface continuity conditions at internal material discontinuities. The comparison showed a very good level of accuracy of the AFDA technique. We also demonstrated the very good sensitivity of our FD modeling to different positions of the same physical model in the spatial FD grid.

This article has been cited by other articles:

				J. A. Perez-Ruiz, F. Luzon, and A. Garcia-Jerez Simulation of an Irregular Free Surface with a Displacement Finite-Difference Scheme Bulletin of the Seismological Society of America, December 1, 2005; 95(6): 2216 - 2231. [Abstract] [Full Text] [PDF]