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2D finite‐difference elastic wave modelling including surface topography 1
Author(s) -
Hestholm Stig,
Ruud Bent
Publication year - 1994
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.1994.tb00216.x
Subject(s) - surface (topology) , finite difference , surface wave , boundary (topology) , dispersion (optics) , finite difference method , grid , boundary value problem , geometry , scattering , free surface , geology , mathematical analysis , mechanics , optics , physics , mathematics
Abstract A 2D numerical finite‐difference algorithm accounting for surface topography is presented. Higher‐order, dispersion‐bounded, cost‐optimized finite‐difference operators are used in the interior of the numerical grid, while non‐reflecting absorbing boundary conditions are used along the edges. Transformation from a curved to a rectangular grid achieves the modelling of the surface topography. We use free‐surface boundary conditions along the surface. In order to obtain complete modelling of the effects of wave propagation, it is important to account for the surface topography, otherwise near‐surface effects, such as scattering, are not modelled adequately. Even if other properties of the medium, for instance randomization, can improve numerical simulations, inclusion of the surface topography makes them more realistic.