The Reflection Inverse Problem for Acoustic Waves

Abstract

We study an acoustic model of the inverse problem of reflection seismology. A straightforward best-fit formulation of this problem has been used by several investigators as the basis for numerical solution of this problem, but typically fails when coupled with local optimization algorithms. We give an explanation for this failure, and suggest a relaxation of the best-fit formulation which may be more amenable to quasi-Newton optimization. Our analysis relies on linearization and on a high-frequency (Fourier Integral) approximation to the scattered field.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1990
Accession Number
ADA452690

Entities

People

  • William W. Symes

Organizations

  • Rice University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Acoustic Waves
  • Algorithms
  • Applied Mathematics
  • Elastic Waves
  • Frequency
  • Information Operations
  • Inverse Problems
  • Mathematical Analysis
  • Mathematics
  • Mechanical Waves
  • Physics
  • Reflection
  • Waves

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics