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Analytical solutions for dynamic pressures of coupling fluid-solid-porous medium due to P wave incidence

Wang Jinting (王进廷), Zhang Chuhan (张楚汉) and Jin Feng (金 峰)

Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China

Abstract: Wave reflection and refraction in layered media is a topic closely related to seismology, acoustics, geophysics and earthquake engineering. Analytical solutions for wave reflection and refraction coefficients in multi-layered media subjected to P wave incidence from the elastic half-space are derived in terms of displacement potentials. The system is composed of ideal fluid, porous medium, and underlying elastic solid. By numerical examples, the effects of porous medium and the incident wave angle on the dynamic pressures of ideal fluid are analyzed. The results show that the existence of the porous medium, especially in the partially saturated case, may significantly affect the dynamic pressures of the overlying fluid.

Keywords: porous medium; ideal fluid; dynamic pressure; elastic half-space; layered media; P wave; reflection; refraction