An explicit finite-difference solution to the wave equation with variable velocity
type: Item
instance of: scholarly article
title: An explicit finite-difference solution to the wave equation with variable velocity
zbMATH Open document ID: 0691.65094
DOI: 10.1016/0021-9991(90)90224-O
author: Alvin K. Benson
published in: Journal of Computational Physics
publication date: 1990-01-01T00:00:00Z
review text: This is a paper on ``migration''. Migration is exploration geophysics jargon for unraveling subsoil geological structure from surficial measurements of the back-scattered response of rock discontinuities to man-made energy sources. The method proposed here, as many others, is based on running the acoustic wave equation backward in time. The numerical method of solution chosen is an explicit, finite difference, two-dimensional algorithm for inhomogeneous, isotropic medium. As for most migration algorithms, it assumes that the velocity of wave propagation is known throughout the structure, so it is somewhat of an euphemism to talk of ``inversion'' in this case, unless a clear mechanism is included for modifying the velocity model that in real world situations would be unknown. Two nice examples based on synthetic generated data are presented.
reviewed by: Victor Pereyra
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 86A15
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 4131605
zbMATH Keywords: exploration seismology
zbMATH Keywords: migration
zbMATH Keywords: acoustic wave equation
zbMATH Keywords: explicit, finite difference, two-dimensional algorithm
zbMATH Keywords: wave propagation
MaRDI profile type: Publication
cites work: Q4096591
description: scientific article; zbMATH DE number 4131605