RAYLEIGH WAVES IN A PARTIALLY SATURATED POROUS-ELASTIC MEDIUM
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The propagation of Rayleigh waves in a partially saturated porous medium is investigated. The medium is modeled as a solid skeleton containing pores filled with two immiscible viscous fluids. The model also accounts for gas bubbles within the partially saturated liquid. In an isotropic medium, the potential functions yield three compressional (P) waves and one shear (S) wave, all of which decay exponentially with depth. Due to dissipative effects, the Rayleigh wave attenuates with depth, bringing the surface stresses to zero. The existence of these waves is governed by an irrational secular equation whose roots were found in polynomial form. Based on this formulation, the propagation and characteristics of the Rayleigh waves were analyzed. The wave velocity and amplitude were used to determine the mean displacement path in the medium. The existence of the waves depends on the values of the parameters in the secular equation, and the required saturation levels were identified by numerical modeling. In addition, the effects of velocity, quality factor, polarization frequency, capillary pressure, viscosity, and solid-frame anelasticity were studied.
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