Study on the reflection and transmission of P wave on the interface between elastic medium and saturated frozen soil medium

JIANG Hui-peng; MA Qiang; CAO Ya-peng

doi:10.16285/j.rsm.2022.0329

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Study on the reflection and transmission of P wave on the interface between elastic medium and saturated frozen soil medium

更新时间：2026-06-25

- Study on the reflection and transmission of P wave on the interface between elastic medium and saturated frozen soil medium
- Vol. 44, Issue 3, Pages: 916-929(2023)
- 作者机构：
  
  1. 青海大学土木工程学院,青海,西宁,810016
  2. 青海大学青海省建筑节能材料与工程安全重点实验室,青海,西宁,810016
  3. 中国科学院西北生态环境资源研究院冻土工程国家重点实验室,甘肃,兰州,730000
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2022.0329
  CLC： TU445
- Online First：24 March 2023，
  
  Published：2023
- 稿件说明：
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JIANG Hui-peng, MA Qiang, CAO Ya-peng. Study on the reflection and transmission of P wave on the interface between elastic medium and saturated frozen soil medium[J]. 2023, 44(3): 916-929.
DOI：

JIANG Hui-peng, MA Qiang, CAO Ya-peng. Study on the reflection and transmission of P wave on the interface between elastic medium and saturated frozen soil medium[J]. 2023, 44(3): 916-929. DOI： 10.16285/j.rsm.2022.0329.

摘要

基于弹性波在冻结饱和多孔介质与单相弹性介质中的传播理论，研究了平面P波在饱和冻土介质与单相弹性介质分界面上的透反射问题。利用Helmholtz矢量分解定理，根据分界面上的边界条件，获得了平面P波从单相弹性介质入射到饱和冻土介质分界面上透反射振幅比的理论表达式。通过数值计算，分析了在不同入射频率、胶结参数、孔隙率、饱和度和接触参数下，弹性波的透反射振幅比随入射角变化的关系。研究结果表明：P波从单相弹性介质垂直入射到饱和冻土介质分界面上时只有反射P波和3种透射P波产生，当掠入射时只产生反射而没有透射现象发生。入射频率、胶结参数、孔隙率、饱和度以及接触参数等参数对反射波和透射波的振幅比影响显著。

Abstract

Based on the theory of elastic wave propagation in frozen saturated porous media and single-phase elastic media

the reflection and transmission of plane P wave on the interface between saturated frozen soil media and single-phase elastic media are studied. According to the Helmholtz vector decomposition theorem and the boundary conditions of the interface

theoretical expressions of transmission amplitude ratio and reflection amplitude ratio of plane P wave from single-phase elastic media to saturated frozen soil media are derived. Through numerical calculation

the relationships between the transmission amplitude ratio/ reflection amplitude ratio of elastic wave and incident angle are analyzed under different incident frequencies

cementation parameters

porosities

saturations and contact parameters. The results show that only the reflected P wave and three types of transmitted P waves are generated when the P wave is incident vertically from a single-phase elastic medium to the interface of the saturated frozen soil medium. When the grazing incidence occurs

only reflection occurs without transmission. The incident frequency

cementation parameters

porosity

saturation and contact parameters have significant influence on the amplitude ratios of reflected wave and transmitted wave.

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