Nonlinear inversion of the SH wave equation in a half-space for density and shear modulus determination

Wenhao Zhu, Xu Jun, Joseph Lawrence Rose

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper deals with the problem of multi-parameter nonlinear inversion of the SH wave equation in an elastic half-space. A numerical approach combining Born iteration and a regularizing technique is presented for simultaneously reconstructing 2-D distributions of density and shear modulus in a scatterer embedded in a half-space. The well-to-well source-receiver scheme commonly used in geophysical exploration is considered in the model in which two incident frequencies are used to uncouple the parameters in frequency domain. The weighted residual method, along with bilinear interpolating functions, are used in the discretization procedure. Computer simulations have been conducted on several examples with different density and shear modulus configurations. The numerical results show that the approach proposed has a uniformly convergence for the given objects and has a feature of treating the limited-source well-to-well scheme that causes a more ill-conditioned equation in the inversion procedure.

Original languageEnglish (US)
Pages (from-to)850-857
Number of pages8
JournalJournal of the Acoustical Society of America
Volume103
Issue number2
DOIs
StatePublished - Jan 1 1998

Fingerprint

SH waves
half spaces
wave equations
inversions
shear
iteration
receivers
computerized simulation
causes
configurations
scattering
Equations
Inversion
Waves
Causes
Iteration
Computer Simulation

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

Cite this

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abstract = "This paper deals with the problem of multi-parameter nonlinear inversion of the SH wave equation in an elastic half-space. A numerical approach combining Born iteration and a regularizing technique is presented for simultaneously reconstructing 2-D distributions of density and shear modulus in a scatterer embedded in a half-space. The well-to-well source-receiver scheme commonly used in geophysical exploration is considered in the model in which two incident frequencies are used to uncouple the parameters in frequency domain. The weighted residual method, along with bilinear interpolating functions, are used in the discretization procedure. Computer simulations have been conducted on several examples with different density and shear modulus configurations. The numerical results show that the approach proposed has a uniformly convergence for the given objects and has a feature of treating the limited-source well-to-well scheme that causes a more ill-conditioned equation in the inversion procedure.",
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Nonlinear inversion of the SH wave equation in a half-space for density and shear modulus determination. / Zhu, Wenhao; Jun, Xu; Rose, Joseph Lawrence.

In: Journal of the Acoustical Society of America, Vol. 103, No. 2, 01.01.1998, p. 850-857.

Research output: Contribution to journalArticle

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