Abstract
Abstract A study of surface wave propagation in a fluid saturated incompressible porous half-space lying under a double-layer consisting of non-homogeneous and homogeneous liquids is presented. The frequency equation connecting the phase velocity with wave number is derived. Special cases as: (i) Rayleigh type surface waves in an incompressible poro-elastic half-space lying under a uniform layer of a homogeneous liquid, (ii) Rayleigh type surface waves in an incompressible poro-elastic half-space lying under a uniform layer of a non-homogeneous liquid and (iii) Rayleigh type surface waves propagating along the free surface of a fluid saturated incompressible porous elastic half-space, are investigated. Numerical results with graphical presentations of the variations of phase velocity with wave number for different cases are also included.
Highlights
From the geophysical and acoustic point of view, the propagation of elastic waves in a layered half-space is of considerable interest
Derivation of Frequency Equation The equations (12)–(16), (20)–(28) along with the conditions (29)–(31) govern the propagation of surface waves in the model consisting of an incompressible porous medium half-space, lying under a double-layer of non-homogeneous and homogeneous liquids
The significant fall at the vanishing wave number is due to the damping effect of the overlying liquid layers and the viscous damping caused by internal friction from the interaction mechanism
Summary
From the geophysical and acoustic point of view, the propagation of elastic waves in a layered half-space is of considerable interest. In seismology especially in seismic wave propagation there are many cases when the medium is composed of two or more layers lying over elastic halfspace and generally this half-space is not a single-phase model. Beside this most of the other modern engineering structures are generally made up of multiphase porous continuum and the classical theory, which represents a fluid saturated porous medium as a single phase material, is inadequate to represent the mechanical behavior of such materials especially when the pores are filled with liquid.
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