Energy transfer characteristics of fast compressed P1 waves on interface between saturated frozen soil and elastic bedrock

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (7) : 223-238.

MA Qiang1, 2, JIANG Huipeng1, ZHOU Fengxi3, JIANG Ningshan1, 2

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Abstract

Based on the propagation theory of elastic waves in frozen saturated porous media and single-phase elastic media, the energy transmission problem of the fast compressional P1-wave with the maximum propagation velocity in saturated frozen soil was selected at the interface between saturated frozen soil and elastic bedrock. According to the boundary conditions at the interface, the analytical expressions of transmitted and reflected amplitude ratio and energy ratio of the fast compressional P1-wave from saturated frozen soil to elastic bedrock are derived. The incident energy relationship of fast compressional P1-wave at the interface between saturated frozen soil and elastic bedrock with incident angle, frequency, temperature (ice content), porosity, cementation parameter and contact parameter is studied. The results show that there is only a compression wave when the incident angle is 0, and the transmitted P wave disappears after reaching the critical angle. Various waves have different degrees of pulses when reaching the critical angle, among which the reflected P1 wave is the most significant. As the cementation parameters, porosity and contact parameters increase, the critical angle appears earlier. The incident frequency only greatly influences the energy-reflected ratio of reflected P2, P3 and S2 waves. When the temperature and ice content are low or high, it is not conducive to the energy generation of reflected S2 waves.

Key words

saturated frozen soil / elastic bedrock / fast compressional P1-wave / transmitted and reflected amplitude ratios / transmitted and reflected energy ratios

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MA Qiang1, 2, JIANG Huipeng1, ZHOU Fengxi3, JIANG Ningshan1, 2. Energy transfer characteristics of fast compressed P1 waves on interface between saturated frozen soil and elastic bedrock[J]. Journal of Vibration and Shock, 2024, 43(7): 223-238

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