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层状饱和介质中瑞利波传播特性薄层分析方法

柴华友, 张电吉, 卢海林, 杨典森, 周春梅

柴华友, 张电吉, 卢海林, 杨典森, 周春梅. 层状饱和介质中瑞利波传播特性薄层分析方法[J]. 岩土工程学报, 2015, 37(6): 1132-1141. DOI: 10.11779/CJGE201506020
引用本文: 柴华友, 张电吉, 卢海林, 杨典森, 周春梅. 层状饱和介质中瑞利波传播特性薄层分析方法[J]. 岩土工程学报, 2015, 37(6): 1132-1141. DOI: 10.11779/CJGE201506020
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CHAI Hua-you, ZHANG Dian-ji, LU Hai-lin, YANG Dian-sen, ZHOU Chun-mei. Behavior of Rayleigh waves in layered saturated porous media using thin-layer method[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(6): 1132-1141. DOI: 10.11779/CJGE201506020
Citation: CHAI Hua-you, ZHANG Dian-ji, LU Hai-lin, YANG Dian-sen, ZHOU Chun-mei. Behavior of Rayleigh waves in layered saturated porous media using thin-layer method[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(6): 1132-1141. DOI: 10.11779/CJGE201506020
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层状饱和介质中瑞利波传播特性薄层分析方法  English Version

  • 1.武汉工程大学资源与土木工程学院,湖北武汉430073；
    2.中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室,湖北武汉430071

基金项目: 国家自然科学基金面上项目（41474113, 51474159）；武汉 工程大学人才专项经费项目
详细信息
    作者简介:

    柴华友(1965– ), 男, 博士, 特聘教授, 从事波动测试技术及方法的教学和科研。E-mail: chy_rsm@hotmail.com

  • 中图分类号: TU435；P631.4

Behavior of Rayleigh waves in layered saturated porous media using thin-layer method

  • 1. School of Resource and Civil Engineering, Wuhan Institute of Technology, Wuhan 430073, China;
    2. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China

摘要

    摘要
  • 摘要: 层状饱和半无限体中瑞利波传播特性研究对工程物理勘探及土性参数反演很重要, 传统的层传递矩阵或刚度矩阵分析方法需在复数域搜索瑞利波频率方程根, 不仅耗时, 收敛性也差。根据研究波长范围, 在底部半无限体某一深度设置刚性边界, 将层状介质离散成薄层, 建立研究平面应变状态下层状饱和介质中瑞利波传播特性薄层法分析模型。依据该模型, 频率方程根搜索问题可转换成矩阵特征值问题。根据瑞利波沿深度衰减特性, 从一组计算的特征值中筛选出与瑞利波模态对应特征值, 由特征值及相应特征向量得到各模态频率特性以及孔隙压力、骨架位移随深度变化。通过与饱和半无限体瑞利波解析解比较, 验证该模型可行性, 由此研究几种层状介质中瑞利波各阶模态的频率特性。分析方法对开展动力本构模型更复杂的层状介质中瑞利波传播特性研究也具有指导意义。
    Abstract: Frequency behavior of Rayleigh waves in layered saturated poroelastic media is improtant for engineering geophysical prospecting and inversion of soil properties. The frequency equation of Rayleigh waves can be solved using the root searching algorithms in the conventional analysis method of the transfer or stiffness matrix. However, these algorithms are time-consuming in the complex domain and the root convergence is often poor. In this study, a rigid base is set at a certain depth of the half space which is estimated from the interested wavelength and the layers are discretized into a group of thin layers. The thin-layer model is then established to study the propagation behavior of Rayleigh waves in saturated poroelastic layered media under the plane strain conditions. In this model, the root searching problem is converted into the eigenvalue and eigenvector problem of matrices. The eigenvalues corresponding to the modes of Rayleigh waves can be sifted out from the calculated ones according to the attenuation of Rayleigh waves along depth. The frequency behavior, pore pressure and skeleton displacements of Rayleigh waves along depth can be calculated from the sifted eigenvalues and eigenvectors. The model developed is validated by comparing the numerical and the analytical results in the saturated poroelastic half space. The model is then used to study the frequency behavior of Rayleigh waves in several layered saturated porous half spaces. The method also provides some guidelines for investigating Rayleigh waves in layered media with more complex dynamic constitutive models.
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  • 收稿日期:  2014-07-15
  • 发布日期:  2015-06-18

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