Dynamic 2.5-D green׳s function for a poroelastic half-space

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• 作者：Shunhua Zhou ^{zhoushh@tongji.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Chao He ; ^{1310756@tongji.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Honggui Di ^{dihongguila@126.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：2.5-D Green׳s function ; Poroelastic half-space ; Biot׳s theory ; Boundary element ; Discrete wavenumber ; Fourier transform
• 刊名：Engineering Analysis with Boundary Elements
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：67
• 期：Complete
• 页码：96-107
• 全文大小：1970 K

文摘

The dynamic two-and-a-half-dimensional (2.5-D) Green׳s function for a poroelastic half-space subject to a point load and dilatation source is derived based on Biot׳s theory, with the consideration of both a permeable surface and an impermeable surface. The governing differential equations for the 2.5-D Green׳s function are established by applying the Fourier transform to the governing equations of the three-dimensional (3-D) Green׳s function. The dynamic 2.5-D Green׳s function is derived in a full-space using the potential decomposition and discrete wavenumber methods. The surface terms are introduced to fulfil the free-surface boundary conditions and thereby obtain the dynamic 2.5-D Green׳s function for a poroelastic half-space with the permeable and impermeable surfaces. The half-space 2.5-D Green׳s function is verified through comparison with the 2.5-D Green׳s function regarding an elastodynamic half-space and the 3-D Green׳s function for a poroelastic half-space. A numerical case is provided to compare between the full-space solutions and the half-space solutions with two different sets of free-surface boundary conditions. In addition, a case study of efficient calculation of vibration from a tunnel embedded in a poroelastic half-space is presented to show the application of the 2.5-D Green׳s function in engineering problems.