Open AccessFinite‐difference technique for SH ‐waves in 2‐D media using irregular grids‐application to the seismic response problem
Author(s) -
Moczo Peter
Publication year - 1989
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.1989.tb01691.x
Subject(s) - computation , grid , geology , finite difference , wavenumber , finite difference method , seismic wave , regular grid , geometry , mathematical analysis , geophysics , mathematics , geodesy , physics , algorithm , optics
Summary The finite‐difference method is applied to compute the seismic response of 2‐D inhomogeneous structures for SH‐waves. A technique is proposed which uses an irregular grid (a rectangular grid with varying grid spacing). A geological structure may be composed of blocks of media inside of which velocity and density vary linearly in horizontal and vertical directions. The technique allows better adjusted modelling of a medium and, in numerical examples presented, yields more efficient computations as compared to those with regular grids. The technique is tested through comparison with a discrete‐wavenumber method. As an example, the seismic response of the sediment‐filled Chusal Valley, Garm region, USSR, is computed. The numerical results are compared with observations.