A modified pulse-spectrum technique for solving inverse problems of two- dimensional elastic wave equation
type: Item
instance of: scholarly article
title: A modified pulse-spectrum technique for solving inverse problems of two- dimensional elastic wave equation
zbMATH Open document ID: 0566.65092
DOI: 10.1016/0168-9274(85)90017-0
published in: Applied Numerical Mathematics
publication date: 1985-01-01T00:00:00Z
review text: The pulse spectrum technique, developed earlier by the second author and his co-workers, is extended to cover the elastic wave equation in two space dimensions. The aim is to invert seismic reflection data recorded at the free surface in order to recover the elastic parameters and density of the underlying inhomogeneous medium. By means of the Laplace transform, the inverse problem is solved by an iterative method that involves a Fredholm integral equation of the first kind, which is solved, in turn, using regularization. A numerical example is given showing good accuracy in the inversion of artificial data. Discretization is achieved by finite elements on a coarse computational grid.
reviewed by: Victor Pereyra
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 86A15
Mathematics Subject Classification ID: 86-04
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 74J25
zbMATH DE Number: 3903918
zbMATH Keywords: Galerkin method
zbMATH Keywords: geophysical prospecting
zbMATH Keywords: pulse spectrum technique
zbMATH Keywords: elastic wave equation
zbMATH Keywords: Laplace transform
zbMATH Keywords: inverse problem
zbMATH Keywords: Fredholm integral equation
zbMATH Keywords: regularization
zbMATH Keywords: numerical example
zbMATH Keywords: finite elements
author: Ganquan Xie
author: Yung Ming Chen
MaRDI profile type: Publication
full work available at URL: 0168-9274(85)90017-0
OpenAlex ID: W2050328417
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description: scientific article; zbMATH DE number 3903918