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Abstract

In this paper we discuss the propagation of torsional surface waves in an anisotropic porous half space in the presence of a gravity field. Although the torsional wave does not propagate in an isotropic elastic half space in the absence of a gravity field, it is found that such a wave propagates in a gravitating isotropic half space. It also propagates in anisotropic half space in the presence or absence of a gravity field if the modulus of elasticity in the horizontal direction is more than that of the vertical direction. It is observed that poro-elasticity has a dominant effect on the velocity of the torsional surface wave. The velocity of the wave increases considerably as the porosity of the medium increases. The presence of a gravity field is also seen to increase the velocity of the torsional surface wave. The velocity depends to a large degree on the anisotropy factor. As a particular case, it is verified that the torsional surface wave does not propagate in perfect fluid under gravity.

Keywords

anisotropic gravity porous torsional surface waves

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Torsional surface waves in gravitating anisotropic porous half space

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