Progress Report, October 1, 1984, Contract Number N00014-84-K-0049,

Abstract

The objective of our research is to produce inverse methods to describe the structure of the earth and the oceans for seismic exploration, seabed mapping and ocean modeling. All of the problems we treat are nonlinear. Our approach is to derive approximate solutions of linearized problems which estimate the earth or ocean parameters as perturbations from a known background structure. Thus, the closer the background structure is to the true medium, the smaller the perturbations and the more accurate the inversion methods. This is the reason for our desire for inversion techniques for progressively more complex background structure. There is a fundamental idea which pervades our research, namely, asymptotic inversion of data for structure and parameter estimation. Asymptotics arise naturally in the problems we model since most length scales of the problem are many wavelengths long. We model the experiment of interest by deriving an integral representation for the observed wavefield produced by the experiment.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1984
Accession Number
ADA147082

Entities

People

  • F. G. Hagin
  • J. A. Desanto
  • J. K. Cohen
  • N. Bleistein

Organizations

  • Colorado School of Mines

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Acoustic Tomography
  • Acoustic Waves
  • Acoustics
  • Complex Variables
  • Elastic Waves
  • Integrals
  • Inverse Problems
  • Military Research
  • Ray Tracing
  • Reflection
  • Reflectors
  • Students
  • Travel Time
  • Two Dimensional
  • Wave Phenomena
  • Wave Propagation
  • Waves

Fields of Study

  • Mathematics

Readers

  • Acoustical Oceanography.
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis