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Full Seismic Waveform Modelling and Inversion

  • Book
  • © 2011

Overview

Authors:
  1. Andreas Fichtner

    1. , Department of Earth Sciences, Utrecht University, Utrecht, Netherlands

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  • Gives a comprehensive account of full waveform tomography
  • Develops and describes state-of-the-art methodologies covering all aspects of full waveform tomography
  • Includes methods for the numerical solution of the elastic wave equation
  • Includes supplementary material: sn.pub/extras

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xx
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  2. Preliminaries

    • Andreas Fichtner
    Pages 1-5

  3. Numerical Solution of the Elastic Wave Equation

    1. Front Matter

      Pages 7-8
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  4. Numerical solution of the elastic wave equation

    1. Introduction

      • Andreas Fichtner
      Pages 9-22

    2. Finite-Difference Methods

      • Andreas Fichtner
      Pages 23-57

    3. Spectral-Element Methods

      • Andreas Fichtner
      Pages 59-81

    4. Visco-elastic Dissipation

      • Andreas Fichtner
      Pages 83-88

    5. Absorbing Boundaries

      • Andreas Fichtner
      Pages 89-110

  5. Iterative Solution of the FullWaveform Inversion Problem

    1. Front Matter

      Pages 111-112
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  6. Iterative solution of the full waveform inversion problem

    1. Introduction to Iterative Non-linear Minimisation

      • Andreas Fichtner
      Pages 113-140

    2. The Time-Domain Continuous Adjoint Method

      • Andreas Fichtner
      Pages 141-161

    3. First and Second Derivatives with Respect to Structural and Source Parameters

      • Andreas Fichtner
      Pages 163-187

    4. The Frequency-Domain Discrete Adjoint Method

      • Andreas Fichtner
      Pages 189-192

    5. Misfit Functionals and Adjoint Sources

      • Andreas Fichtner
      Pages 193-210

    6. Fréchet and Hessian Kernel Gallery

      • Andreas Fichtner
      Pages 211-230

  8. Back Matter

    Pages 301-343
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Keywords

About this book

Recent progress in numerical methods and computer science allows us today to simulate the propagation of seismic waves through realistically heterogeneous Earth models with unprecedented accuracy. Full waveform tomography is a tomographic technique that takes advantage of numerical solutions of the elastic wave equation. The accuracy of the numerical solutions and the exploitation of complete waveform information result in tomographic images that are both more realistic and better resolved. This book develops and describes state of the art methodologies covering all aspects of full waveform tomography including methods for the numerical solution of the elastic wave equation, the adjoint method, the design of objective functionals and optimisation schemes. It provides a variety of case studies on all scales from local to global based on a large number of examples involving real data. It is a comprehensive reference on full waveform tomography for advanced students, researchers and professionals.

Authors and Affiliations

  • , Department of Earth Sciences, Utrecht University, Utrecht, Netherlands

    Andreas Fichtner

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