Abstract
One can obtain the fractal dimension of fault systems from the power frequency dependence of the scattering coefficient of “X-raying” P- or S-waves. This estimation may be based on the use of one of the two alternative models of media: a medium with discrete random inclusions or a random continuous medium. We have shown that, if spectral densities of fluctuations in these models are identical, the frequency dependencies of the scattering coefficients of the corresponding body waves are identical too in the weak scattering regime. However, fractal dimensions of a total surface of inclusions and isosurfaces in a random continuous (turbulent) medium are different. The fractal dimension of the total surface of inclusions, estimated by scattering coefficient, coincides with the estimations of fractal dimensions of the fault systems in Japan and the San Andreas Fault system. We think that the fractal dimension of the total surface of faults in seismic active regions is 2.0–2.5 and in aseismic regions is about 3.
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