Propagation of Plane Waves in Poroviscoelastic Anisotropic Media

A. K. Vashishth; M. D. Sharma

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A. K. Vashishth, M. D. Sharma. Propagation of Plane Waves in Poroviscoelastic Anisotropic Media[J]. Applied Mathematics and Mechanics, 2008, 29(9): 1037-1047.

Citation:

A. K. Vashishth, M. D. Sharma. Propagation of Plane Waves in Poroviscoelastic Anisotropic Media[J]. Applied Mathematics and Mechanics, 2008, 29(9): 1037-1047.

Citation:

A. K. Vashishth, M. D. Sharma. Propagation of Plane Waves in Poroviscoelastic Anisotropic Media[J]. Applied Mathematics and Mechanics, 2008, 29(9): 1037-1047.

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Propagation of Plane Waves in Poroviscoelastic Anisotropic Media

Department of Mathematics, Kurukshetra University, India-136 119

Received Date: 2008-04-16
Rev Recd Date: 2008-07-02
Publish Date: 2008-09-15

Abstract

Abstract

The wave propagation in, perhaps, the most general model of a poroelastic medium is discussed. The medium is considered as a viscoelastic, anisotropic, porous solid frame such that its pores of anisotropic permeability are filled with a viscous fluid. The anisotropy, considered, is of general type and attenuating waves in the medium were treated as inhomogeneous waves. The complex slowness vector was resolved to define the phase velocity, homogeneous attenuation, inhomogeneous attenuation and angle of attenuation for each of the four attenuating waves in the medium. A non-dimensional parameter measures the deviation of an inhomogeneous wave from its homogeneous version. Numerical model of a North-Sea sandstone was used to analyze the effects of propagation direction, inhomogeneity parameter, frequency regime, anisotropy symmetry, anelasticity of frame and viscosity of pore-fluid on the propagation characteristics of waves in such a medium.
- inhomogeneous wave,
- anisotropy,
- poroviscoelastic solid,
- phase velocity,
- attenuation

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References(16)

References

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