Micro-local, Non-linear, Resolution Analysis of Generalised Radon Transform Inversions in Anisotropic Media,

Abstract

The resolution analysis of generalized Radon Transform (GRT) inversion of seismic data is carried out in general anisotropic media. The GRT inversion formula is derived from the ray-Born approximation of the wave field for volume scatterers. However, by considering scattering surfaces in the resolution analysis, rather than parameter perturbations, we show that the inversion provides a reflectivity map and reflection/transmission coefficients as functions of scattering angles and azimuths. Those coefficients can be subjected to any type of Amplitude Versus Angle (AVA) or Amplitude Versus Offset (AVO) analysis. By applying the inversion to Kirchhoff approximate data rather than Born approximate data, we show that the output is actually linear in the reflection coefficients and, hence, a nonlinear function of the change in medium parameters across discontinuity surfaces -- the reflectors of the medium.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1996
Accession Number
ADA327177

Entities

People

  • Maarten V. De Hoop
  • Norman Bleistein

Organizations

  • Colorado School of Mines

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Born Approximations
  • Diffraction
  • Eigenvalues
  • Electronic Mail
  • Equations
  • Frequency
  • Geometry
  • Group Velocity
  • Integrals
  • Inverse Problems
  • Military Research
  • Phase Velocity
  • Reflectors
  • Scattering
  • Travel Time
  • Wave Phenomena

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Radar Systems Engineering.
  • Wave Propagation and Nonlinear Chaotic Dynamics.