Two dimensional velocity inversion of the acoustic wave equation

DOI10.1016/0165-2125(85)90030-7zbMath0567.73038OpenAlexW2005226194MaRDI QIDQ1060046

John A. Fawcett

Publication date: 1985

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(85)90030-7

zbMATH Keywords

singular value decompositionLevenberg-Marquardt methodGauss-Newton methodnonlinear least squaresfinite difference modellinginvert in the time domain, full wavefield observationslinearized problems' Jacobianportions of parameter spacetwo dimensional acoustic velocity variationwell or poorly resolved

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Numerical optimization and variational techniques (65K10) Inverse problems for PDEs (35R30) Inverse problems for waves in solid mechanics (74J25)

Related Items (1)

Groups generated by two \(p\)-cycles

Cites Work

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• The Gelfand-Levitan, the Marchenko, and the Gopinath-Sondhi integral equations of inverse scattering theory, regarded in the context of inverse impulse-response problems
• About the stability of the inverse problem in 1-D wave equations application to the interpretation of seismic profiles
• A nonreflecting plane boundary for wave propagation problems
• Numerical methods for solving linear least squares problems
• Velocity and density of a two-dimensional acoustic medium from point source surface data
• Bicubic Spline Interpolation
• A practical guide to splines.

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