Sh Surface Waves in a Half Space with Random Inhomogeneities

Abstract eng:
Horizontally polarized shear waves (SH waves) do not exist in a homogeneous half space according to the traditional elastic wave theory. However, in this study, we proved both theoretically and numerically that there will be surface waves in a half space which has small, random density, but the mean value of the density is homogeneous. Historically, this type of half space is often treated as a homogeneous one with deterministic methods. In this investigation, a closed-form dispersion equation was derived stochastically, and the frequency spectrum, dispersion equation, phase/group velocity were plotted numerically to study how the random inhomogeneities will affect the dispersion properties of the half space with random density. This research may find its application in seismology, non-destructive test/evaluation, etc.

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