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AN ACCURATE SCHEME FOR SEISMIC FORWARD MODELLING *
Author(s) -
TALEZER H.,
KOSLOFF D.,
KOREN Z.
Publication year - 1987
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.1365-2478.1987.tb00830.x
Subject(s) - discretization , computer science , chebyshev filter , operator (biology) , wave equation , scheme (mathematics) , algorithm , acoustic wave equation , chebyshev polynomials , geology , mathematics , wave propagation , mathematical optimization , mathematical analysis , optics , physics , biochemistry , chemistry , repressor , transcription factor , computer vision , gene
ABSTRACT A new time integration technique for use in forward modelling programmes is introduced. The technique presents an alternative to second‐order temporal differencing. It is based on a Chebyshev expansion of the formal evolution operator to the spatially discretized wave equation. The computational effort in forward modelling based on the new technique is about the same as in methods based on temporal differencing. However, machine accuracy can be obtained. The implementation of the technique to solve the acoustic wave equation in two spatial dimensions is described. Finally, an example of using the technique to solve a problem of wave propagation in a single layer is presented.