Purpose <p>When studying wave propagation in saturated frozen soil layers, researchers typically treat the frozen soil as a homogeneous layer. However, during the summer, due to human activities and temperature rise, the upper part of the frozen soil layer melts into saturated soil, while the lower part remains as saturated frozen soil. This leads to significant differences in the wave propagation characteristics compared to the previous conditions. Therefore, it is of great significance to study the propagation characteristics of elastic waves at the interface between saturated soil and saturated frozen soil partitions.</p> Methods <p>This study is based on the theory of wave propagation in saturated porous medium and frozen saturated porous medium. By applying the Helmholtz vector decomposition principle and combining it with the boundary conditions at the interface between saturated soil and frozen saturated soil, an analytical solution for the transmission and reflection amplitude ratios of S-waves incident from the saturated soil medium to the frozen saturated soil medium was derived. Numerical calculations were conducted to analyze the effects of incident frequency, incident angle, permeability, cementation parameter, temperature parameter, and contact parameter on the transmission and reflection amplitude ratios at the soil interface and energy transfer.</p> Results <p>The results indicate that, due to the lower propagation velocity of the incident S-wave compared to the reflected P1-wave, a critical angle occurs upon S-wave incidence; the permeability in saturated soil has a limited impact on the transmission-reflection amplitude ratio and energy rate, yet significantly influences the reflected P2-wave; temperature and changes in the cementation parameter within the frozen saturated soil medium have a notable impact on the transmission-reflection amplitude ratios and energy ratios.</p> Conclusions <p>This study promotes the application of fluctuation theory in geotechnical engineering seismic resistance, seismic exploration and other engineering practices, which is of great practical value and guidance for actual engineering.</p>

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Propagation Characteristics of Plane Shear Wave on the Interface Between Saturated Soil and Saturated Frozen Soil Medium

  • Jialun Zhang,
  • Qiang Ma

摘要

Purpose

When studying wave propagation in saturated frozen soil layers, researchers typically treat the frozen soil as a homogeneous layer. However, during the summer, due to human activities and temperature rise, the upper part of the frozen soil layer melts into saturated soil, while the lower part remains as saturated frozen soil. This leads to significant differences in the wave propagation characteristics compared to the previous conditions. Therefore, it is of great significance to study the propagation characteristics of elastic waves at the interface between saturated soil and saturated frozen soil partitions.

Methods

This study is based on the theory of wave propagation in saturated porous medium and frozen saturated porous medium. By applying the Helmholtz vector decomposition principle and combining it with the boundary conditions at the interface between saturated soil and frozen saturated soil, an analytical solution for the transmission and reflection amplitude ratios of S-waves incident from the saturated soil medium to the frozen saturated soil medium was derived. Numerical calculations were conducted to analyze the effects of incident frequency, incident angle, permeability, cementation parameter, temperature parameter, and contact parameter on the transmission and reflection amplitude ratios at the soil interface and energy transfer.

Results

The results indicate that, due to the lower propagation velocity of the incident S-wave compared to the reflected P1-wave, a critical angle occurs upon S-wave incidence; the permeability in saturated soil has a limited impact on the transmission-reflection amplitude ratio and energy rate, yet significantly influences the reflected P2-wave; temperature and changes in the cementation parameter within the frozen saturated soil medium have a notable impact on the transmission-reflection amplitude ratios and energy ratios.

Conclusions

This study promotes the application of fluctuation theory in geotechnical engineering seismic resistance, seismic exploration and other engineering practices, which is of great practical value and guidance for actual engineering.