Seismic Wave Propagation Through Random Media: Monte Carlo Simulation Based on the Radiative Transfer Theory

Haruo Sato; Kentaro Emoto

doi:10.1017/9781009049535

The solid Earth's medium is heterogeneous over a wide range of scales. Seismological observations, including envelope broadening with increasing distance from an earthquake source and the excitation of long-lasting coda waves, provide a means of investigating velocity inhomogeneities in the lithosphere. These phenomena have been studied primarily using radiative transfer theory with random medium modelling. This book presents the mathematical foundations of scalar- and vector-wave scattering in random media, using the Born or Eikonal approximation, which are useful for understanding random inhomogeneity spectra and the scattering characteristics of the solid Earth. A step-by-step Monte Carlo simulation procedure is presented for synthesizing the propagation of energy density for impulsive radiation from a source in random media. Simulation results are then verified by comparison with analytical solutions and finite-difference simulations. Presenting the latest seismological observations and analysis techniques, this is a useful reference for graduate students and researchers in geophysics and physics.

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Seismic Wave Propagation Through Random Media

Monte Carlo Simulation Based on the Radiative Transfer Theory

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Contents

Frontmatter
pp i-iv

Contents
pp v-viii

Preface
pp ix-x

1 - Introduction
pp 1-16

2 - Radiative Transfer Theory for the Isotropic Scattering Model
pp 17-33

3 - Scattering of Scalar Waves in Random Media
pp 34-57

4 - Radiative Transfer Theory for Scalar Wavelet Propagation through Random Media
pp 58-84

5 - Finite Difference Simulation of Scalar Wavelet Propagation through Random Media
pp 85-92

6 - Radiative Transfer Theory for Vector Wavelet Propagation through Random Elastic Media
pp 93-122

7 - Hybrid Monte Carlo Simulation Using the Spectrum Division
pp 123-154

8 - Epilogue
pp 155-157

Bibliography
pp 158-171

Index
pp 172-177

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Monte Carlo Simulation Based on the Radiative Transfer Theory

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