Layer by Layer Reconstruction Methods for the Earth Resistivity from Direct Current Measurements

Abstract

Several methods for reconstructing the resistivity profile of a layered, laterally homogeneous earth from direct current measurements are described. These methods recover the resistivity of the earth layer by layer in a recursive way, and require a very small amount of computational effort. They are obtained by transforming the inverse resistivity problem into an equivalent inverse scattering problem, and by applying efficient signal processing algorithms such as the Schur, fast Cholesky or Levinson recursions to the transformed problem. These algorithms operate on a layer stripping or layer accumulation principle, and are shown to be related to previous reconstruction techniques of Pekeris, Koefoed, Kunetz and Rocroi, and others.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1985
Accession Number
ADA459621

Entities

People

  • Bernard C. Lévy

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Coefficients
  • Differential Equations
  • Direct Current
  • Earth Models
  • Electrical Engineering
  • Equations
  • Integral Equations
  • Integrals
  • Inverse Scattering
  • Measurement
  • Reflection
  • Riccati Equation
  • Scattering
  • Signal Processing
  • Wave Equations

Readers

  • Acoustical Oceanography.
  • Linear Algebra
  • Materials Science and Engineering.