The high-frequency dispersion coefficient for the Rayleigh velocity in a vertically inhomogeneous anisotropic half-space.
For an arbitrary anisotropic half-space with continuous vertical variation of material properties, an explicit closed-form expression for the coefficient B of high-frequency dispersion of the Rayleigh velocity v(R)(omega) approximately v(R)(0)(1+B/omega) is derived. The result involves two matrices, one consisting of the surface-traction derivatives in velocity and the other of its Wentzel-Kramers-Brillouin coefficients, which are contracted with an amplitude vector of the Rayleigh wave in the reference homogeneous half-space. The "ingredients" are routinely defined through the fundamental elasticity matrix and its first derivative, both taken at v=v(R)(0) and referred to the surface.
Laboratoire de Mécanique Physique, Université Bordeaux 1, UMR CNRS 5469, F-33405 Talence Cedex, France. a.shuvalov@lmp.u-bordeaux1.fr
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D000162:Acoustics; D016880:Anisotropy; D003198:Computer Simulation; D004548:Elasticity; D008962:Models, Theoretical; D016062:Porosity; D012542:Scattering, Radiation; D013499:Surface Properties