Reflection and transmission of plane harmonic P wave at planar interface between elastic medium and frozen poroelastic medium

SUMMARY Based on the propagation theory of elastic waves in three-phase frozen poroelastic media and single-phase elastic media, the energy transmission problem of a plane harmonic P-wave incident at the planar interface between elastic medium and frozen poroelastic medium is studied. According to the boundary conditions at the planar interface, the analytical expressions of the transmission and reflection coefficients and energy ratios of the transmitted and reflected waves are derived. The relationship between the energy of plane harmonic P-wave incident on the planar interface between elastic medium and frozen poroelastic medium and the incident angle, frequency of incident wave, cementation parameters, porosity, saturation and contact parameters are investigated. The results show that the incident angle significantly affects the reflection and transmission energy ratios; the incidence frequency only has a large effect on the transmission energy ratios of the transmitted P2, P3 and S2 waves; the contact parameters have a relatively large effect on the reflected S wave and the transmitted P2, P3, S1 and S2 waves, but have a smaller effect on the reflected P wave and the transmitted P1 wave; cementing parameters, porosity, saturation has a great influence on the energy ratios.