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ACOUSTIC WAVE PROPAGATION IN SATURATED CRACKED POROUS MEDIA UNDER COMPRESSION
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ABSTRACT
In this work, we model acoustic wave propagation in pre-loaded fluid-saturated porous materials with cracks. We treat pores and cracks as two subsystems of heterogeneities distributed in an elastic matrix. The pores are considered to be uniformly distributed, the characteristic spatial size on the pore level is l2 Cracks are isolated, randomly oriented. The concentration of cracks is a periodic function of coordinate whose period is l1. The cracked porous medium is saturated with an incompressible fluid. The condition of separation of scales holds, and we assume that the wavelength λ exceeds the period of concentration of cracks. A multiscale homogenization technique is used to derive a macroscopic problem for wave propagation in effective medium. For different cases of loading and different concentrations of cracks, we estimate effective elastic properties of the medium and evaluate the velocity of propagation of acoustic wave.
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