P波在弹性介质与饱和冻土介质分界面上的透反射问题研究

doi:10.16285/j.rsm.2022.0329

岩土力学 ›› 2023, Vol. 44 ›› Issue (3): 916-929.doi: 10.16285/j.rsm.2022.0329

• 数值分析 • 上一篇

P波在弹性介质与饱和冻土介质分界面上的透反射问题研究

蒋汇鹏¹，马强^{1, 2}，曹亚鹏³

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

收稿日期:2022-03-19 接受日期:2022-07-22 出版日期:2023-03-21 发布日期:2023-03-24
通讯作者: 马强，男，1990年生，博士，副教授，主要从事土动力学与岩土工程抗震方面的研究。E-mail: maqiang0104@163.com E-mail:jianghuipeng2022@163.com
作者简介:蒋汇鹏，男，1998年生，硕士研究生，主要从事土动力学方面的研究工作。
基金资助:
国家自然科学基金项目（No.52168053）；青海省自然科学基金青年基金（No.2021-ZJ-943Q）。

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

JIANG Hui-peng¹, MA Qiang^{1, 2}, CAO Ya-peng³

1. School of Civil Engineering, Qinghai University, Xining, Qinghai 810016, China; 2. Qinghai Provincial Key Laboratory of Energy-saving Building Materials and Engineering Safety, Qinghai University, Xining, Qinghai 810016, China; 3. State Key Laboratory of Frozen Soil Engineering, Northwest Institute of Eco-Environment and Resources, Chinese Academy of Sciences, Lanzhou, Gansu 730000, China

Received:2022-03-19 Accepted:2022-07-22 Online:2023-03-21 Published:2023-03-24
Supported by:
This work was supported by the National Natural Science Foundation of China (52168053) and Qinghai Province Science and Technology Department Project(2021-ZJ-943Q).

摘要/Abstract

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。

关键词: 饱和冻土, 波的传播, 反射振幅比, 透射振幅比

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.

Key words: saturated frozen soil, wave propagation, reflection amplitude ratio, transmission amplitude ratio

中图分类号:

TU435

蒋汇鹏, 马强, 曹亚鹏, . P波在弹性介质与饱和冻土介质分界面上的透反射问题研究[J]. 岩土力学, 2023, 44(3): 916-929.

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]. Rock and Soil Mechanics, 2023, 44(3): 916-929.

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P波在弹性介质与饱和冻土介质分界面上的透反射问题研究

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

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