Abstract
This paper reviews numerical studies on acoustic as well as elastic wave propagation in random media, to model the earth's crust. For a long time, stochastic properties of wave propagation in random media, such as scattering attenuation, coda decay, velocity dispersion, and fluctuations of waveforms and traveltimes, have been studied analytically and approximately. Recent development of computer capability enables us to investigate them by solving the wave equation directly and numerically. Numerical wave simulations have also become an important strategy in seismic exploration. We concentrate here on types of inhomogeneities described suitably by autocorrelation functions of the elastic fluctuations of media, and summarize how to model them. For simulating waves scattered by such “random fluctuations”, the finite difference scheme is popularly used and the pseudospectral method is also in use. Isotropic and continuous fluctuations are usually assumed in the modeling, though anisotropic and/or discrete ones, that are often recognized in geological observations, have also been considered just recently.
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Schedule a callMore From: Zisin (Journal of the Seismological Society of Japan. 2nd ser.)
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