Wave propagation in partially frozen porous media

Abstract

The propagation of waves in a fluid-saturated poroelastic medium which matrix is composed of two weakly coupled solids is simulated using an iterative finite element domain decomposition algorithm. The equations of motion are formulated in the space-frequency domain including dissipation in the solid matrix and frequency correction factors in the mass and viscous coupling coefficients. First order absorbing boundary conditions are employed at the artificial boundaries of the computational domain. The algorithm is applied to simulate wave propagation in a sample of partially frozen Berea sandstone at ultrasonic frequencies.