Accession Number : ADA327177

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

Corporate Author : COLORADO SCHOOL OF MINES GOLDEN CENTER FOR WAVE PHENOMENA

Personal Author(s) : De Hoop, Maarten V. ; Bleistein, Norman

PDF Url : ADA327177

Report Date : JUL 1996

Pagination or Media Count : 30

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.

Descriptors :   *SEISMIC DATA, *WAVE EQUATIONS, *RADON, ANGLES, SCATTERING, RESOLUTION, REFLECTION, SURFACES, WAVE PROPAGATION, COEFFICIENTS, ANISOTROPY, PERTURBATIONS, INVERSION, NONLINEAR ANALYSIS, GREENS FUNCTIONS, AMPLITUDE, AZIMUTH, BORN APPROXIMATIONS.

Subject Categories : Mining Engineering
      Seismology
      Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE