Characteristic of energy transmission of plane-S-wave at interface between elastic medium and saturated frozen soil medium

Based on the propagation theory of elastic waves in frozen saturated porous and single-phase elastic media，the energy transfer problem of plane-S-wave incidence at the interface between elastic and saturated frozen soil media is studied. According to the boundary conditions at the interface and using the Helmholtz vector decomposition，the theoretical expressions for the transmission and reflection amplitude ratio and energy rates are derived. The energy rate of S-wave incidence at the interface between elastic and saturated frozen soil media is investigated numerically in relation to the incident angle，incident frequency，cementation parameters，porosity，saturation and contact parameters. The results show that the energy rate of the transmitted P1，P2，P3，S1 and S2 waves increased with the incident angle increased，and the reflected P waves disappear and the transmitted P1 and S1 waves show a significant pulse under the critical angle. The energy interaction rate between transmitted waves only decreased with saturation increased and increases with the remaining parameters. The energy rate of the transmitted S1 wave accounts for more than 90% of the total energy rates of the transmitted and reflected waves，and the energy rate of transmitted S1 waves will be increased with the various parameters increased. In addition，the incident frequency，cementation parameters，porosity and contact parameters have a significant effect on the energy ratios coefficient. © 2023 Academia Sinica. All rights reserved.