An Adjoint State Method for Three-Dimensional Transmission Traveltime Tomography Using First-Arrivals

Abstract

Traditional transmission travel-time tomography hinges on ray tracing techniques. We propose a PDE-based Eulerian approach to travel-time tomography so that we can avoid the cumbersome ray-tracing. We start from the eikonal equation, define a mismatching functional and derive the gradient of the nonlinear functional by an adjoint state method. The resulting forward and adjoint problems can be efficiently solved by using the fast sweeping method; a limited memory BFGS method is used to drive the mismatching functional to zero with quadratic convergence. 2-D, 3-D numerical results and Marmousi synthetic velocity model demonstrate the robustness and the accuracy of the method.

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Document Details

Document Type
Technical Report
Publication Date
Jan 30, 2006
Accession Number
ADA448160

Entities

People

  • Jianliang Qian
  • Shingyu Leung

Organizations

  • University of California, Los Angeles

Tags

Communities of Interest

  • Biomedical
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Calculus Of Variations
  • Computations
  • Differential Equations
  • Equations
  • Equations Of State
  • Geometry
  • Liouville Equation
  • Mathematics
  • Partial Differential Equations
  • Ray Tracing
  • Three Dimensional
  • Tomography
  • Travel Time
  • Two Dimensional
  • X-Ray Computed Tomography

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Operations Research
  • Seismology