Analysis of Two-Parameter Constant Background Born Inversion for Acoustic Synthetic Data.

Abstract

This thesis examines the usefulness of the two-parameter Born inversion method of Clayton and Stolt under idealized conditions. We implement a constant background procedure to reconstruct line source synthetic data which simulate a stratified acoustic medium. Specifically, this investigation is an extension of the single interface work for double interface models. Since we use offset data to recover one-dimensional bulk modulus and density variations, this procedure is termed a 1.5 dimensional inversion. Implicit in these reconstructed acoustic profiles are errors related to the approximate inversion. Phase shifts inherent in the modeled wave field cause these inversion errors not only to propagate, but also to increase with depth. Since the model data are exact, we are able to examine the analytic expressions of these inversion artifacts. From this analysis, we develop an implementation which minimizes inversion errors. This is achieved by both preconditioning the offset data, and judiciously choosing a reference velocity in accordance with inversion goals. Both of these procedures however provide limited improvement, and we conclude that this constant background, frequency domain, method should be enhanced by more sophisticated algorithms. Specifically, we suggest the implementation of either a variable background procedure, or the refinement algorithm of Hagin and Cohen. Keywords: Seismic inversion; born; two-parameter; constant background; stratified acoustic medium.

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Document Details

Document Type
Technical Report
Publication Date
May 15, 1985
Accession Number
ADA156394

Entities

People

  • P. B. Violette

Organizations

  • Colorado School of Mines

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Bulk Modulus
  • Computations
  • Differential Equations
  • Earth Models
  • Equations
  • Frequency
  • Frequency Domain
  • Integral Equations
  • Mathematical Analysis
  • Mathematics
  • Phase Shift
  • Two Dimensional
  • Wave Equations
  • Wave Phenomena
  • Wave Propagation

Readers

  • Computational Modeling and Simulation
  • Linear Algebra
  • Systems Analysis and Design