An approximate elastic two-dimensional Green's function for a constant-gradient medium

Details An approximate elastic two-dimensional Green's function for a constant-gradient medium An approximate elastic two-dimensional Green's function for a constant-gradient medium

Jul 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001geoji.146..237s&link_type=abstract

Geophysical Journal International, Volume 146, Issue 1, pp. 237-248.

Astronomy and Astrophysics

Astronomy

1

Body Waves, Elastic Wave Theory, Green'S Functions, Ray Theory, Seismology, Strong Ground Motion

Scientific paper

Approximate analytical formulae for elastic 2-D Green's functions for a constant-gradient propagation velocity medium are presented. These solutions correspond to unit line forces per unit length: the antiplane SH line source and the in-plane P-SV line sources, respectively. They are based on the asymptotic ray theory and account for both near-source effects and low frequencies. The analytical expressions obtained are tested by means of the pseudospectral method with a velocity-stress staggered grid. The agreement of the approximate analytical displacement and stress fields with their numerical counterparts is generally very good. A measure of relative error is proposed.

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