Product details:
ISBN13: | 9781316511152 |
ISBN10: | 1316511154 |
Binding: | Hardback |
No. of pages: | 188 pages |
Size: | 250x177x15 mm |
Weight: | 480 g |
Language: | English |
695 |
Category:
Seismic Wave Propagation Through Random Media
Monte Carlo Simulation Based on the Radiative Transfer Theory
Publisher: Cambridge University Press
Date of Publication: 14 November 2024
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Publisher's listprice:
GBP 110.00
GBP 110.00
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Short description:
This book presents the mathematical foundations of seismic wave scattering in random media for Monte Carlo simulations.
Long description:
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.
Table of Contents:
Preface; 1. Introduction; 2. RTT for the isotropic scattering model; 3. Scattering of scalar waves in random media; 4. RTT for scalar wavelet propagation through random media; 5. FD simulation of scalar wavelet propagation through random media; 6. RTT for vector wavelet propagation through random elastic media; 7. Hybrid MC simulation using the spectrum division; 8. Epilogue; References; Index