Two dimensional velocity inversion of the acoustic wave equation
type: Item
instance of: scholarly article
title: Two dimensional velocity inversion of the acoustic wave equation
zbMATH Open document ID: 0567.73038
DOI: 10.1016/0165-2125(85)90030-7
published in: Wave Motion
publication date: 1985-01-01T00:00:00Z
review text: In this paper we use nonlinear least squares theory and the Levenberg- Marquardt method of solution, to invert in the time domain, full wavefield observations for two dimensional acoustic velocity variation. The singular value decomposition of the linearized problems' Jacobian allows for the determination of the portions of parameter space that have been well or poorly resolved. Numerical examples are given.
Mathematics Subject Classification ID: 74J25
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 65K05
zbMATH DE Number: 3905949
zbMATH Keywords: finite difference modelling
zbMATH Keywords: Gauss-Newton method
zbMATH Keywords: nonlinear least squares
zbMATH Keywords: Levenberg-Marquardt method
zbMATH Keywords: invert in the time domain, full wavefield observations
zbMATH Keywords: two dimensional acoustic velocity variation
zbMATH Keywords: singular value decomposition
zbMATH Keywords: linearized problems' Jacobian
zbMATH Keywords: portions of parameter space
zbMATH Keywords: well or poorly resolved
author: John A. Fawcett
MaRDI profile type: Publication
full work available at URL: 0165-2125(85)90030-7
OpenAlex ID: W2005226194
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description: scientific article; zbMATH DE number 3905949