Three-dimensional elastic modeling by the Fourier method

M. Reshef, D. Kosloff, M. Edwards, C. Hsiung

Research output: Contribution to journalArticlepeer-review

Abstract

Earlier work on three-dimensional forward modeling is extended to elastic waves using the equations of conservation of momentum and the stress-strain relations for an isotropic elastic medium undergoing infinitesimal deformation. In addition to arbitrary compressional (or P-wave) velocity and density variation in lateral and vertical directions, elastic modeling permits shear (or S-wave) velocity variation as well. The elastic wave equation is solved using a generalization of the method for the acoustic case. Time stepping to obtain the three displacement components for the current time step is performed with second-order difference operators. The modeling includes an optional free surface above the spatial grid. An absorbing boundary is applied on the lateral and bottom edges of the spatial grid. This modeling scheme is implemented on a fourprocessor CRAY X-MP computer system. -from Authors

Original languageEnglish
Pages (from-to)1184-1193
Number of pages10
JournalGeophysics
Volume53
Issue number9
DOIs
StatePublished - 1988

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