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

Published online by Cambridge University Press:  31 October 2024

Haruo Sato  and
Kentaro Emoto
Haruo Sato
Affiliation:
Tohoku University, Japan
Kentaro Emoto
Affiliation:
Kyushu University
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Summary

Chapter 6 studies vector wave scattering in random elastic media. The Born approximation leads to PP, PS, SP, and SS scattering coefficients, from each of which we construct the corresponding PRNG of scattering angles. Using these in MC simulations, we synthesize three-component RMS velocity amplitude time traces for the radiation from a point shear dislocation (PSD) source. The simulation results are compared with the ensemble average of FD simulation results in random elastic media for a given power spectral density function.

Keywords

von Karman-type random elastic mediascattering coefficients of vector wavesBirch's lawlinear polarizationrejection sampling methodpseudo-random number generator (PRNG)point shear dislocation sourceKupper waveletseismic moment functionFD simulationthree-component RMS velocity amplitude time traces
Type
Chapter
Information
Seismic Wave Propagation Through Random Media
Monte Carlo Simulation Based on the Radiative Transfer Theory
 , pp. 93 - 122
Publisher: Cambridge University Press
Print publication year: 2024

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