Dynamic response to fluid extraction from a poroelastic half-space

被引:3
|
作者
Zheng, Pei [1 ]
Ding, Boyang [2 ]
Zhang, Weigang [1 ]
Zhao, She-Xu [1 ]
Zhu, Yijun [3 ]
机构
[1] Shanghai Jiao Tong Univ, Dept Engn Mech, Shanghai 200240, Peoples R China
[2] Zhejiang Univ Technol, Coll Civil Engn & Architecture, Hangzhou 310014, Zhejiang, Peoples R China
[3] Zhejiang Prov Inst Commun Planning Design & Res, Dept Res & Dev, Hangzhou 310006, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
dynamic response; Green's function; poroelastic half-space; fluid extraction; POINT SINK; ACOUSTIC PROPAGATION; ELASTIC WAVES; SOIL MEDIUM; EARTHQUAKES; DOMAIN;
D O I
10.1002/nag.2224
中图分类号
P5 [地质学];
学科分类号
0709 ; 081803 ;
摘要
In this study, the dynamic response of a poroelastic half-space to a point fluid sink is investigated using Biot's dynamic theory of poroelasticity. Based on Biot's theory, the governing field equations are re-formulated in frequency domain with solid displacement and pore pressure. In a cylindrical coordinate system, a method of displacement potentials for axisymmetric displacement field is proposed to decouple the Biot's field equations to three scalar Helmholtz equations, and then the general solution to axisymmetric problems are obtained. The full-space fundamental singular solution for a point sink is also derived using potential methods. The mirror-image method is finally applied to construct the fundamental solution for a point sink buried in a poroelastic half-space. Furthermore, a numerical study is conducted for a rock, that is, Berea sandstone, as a representative example. Copyright (c) 2013 John Wiley & Sons, Ltd.
引用
收藏
页码:661 / 678
页数:18
相关论文
共 50 条
  • [21] The reflection of P-waves in a poroelastic half-space saturated with viscous fluid
    Al Rjoub, Yousef S.
    SOIL DYNAMICS AND EARTHQUAKE ENGINEERING, 2013, 49 : 218 - 230
  • [22] RAYLEIGH-WAVES IN A POROELASTIC HALF-SPACE
    TAJUDDIN, M
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1984, 75 (03): : 682 - 684
  • [23] ON THE ASYMMETRIC INDENTATION OF A CONSOLIDATING POROELASTIC HALF-SPACE
    YUE, ZQ
    SELVADURAI, APS
    APPLIED MATHEMATICAL MODELLING, 1994, 18 (04) : 170 - 185
  • [24] Dynamic response of a stratified transversely isotropic half-space with a poroelastic interlayer due to a buried moving source
    Li, Yi-Cheng
    Feng, Shi-Jin
    Chen, Hong-Xin
    Chen, Zhang-Long
    Zhang, Dong-Mei
    Huang, Hong-Wei
    APPLIED MATHEMATICAL MODELLING, 2020, 82 : 45 - 71
  • [25] Horizontal vibrations of a disk on a poroelastic half-space
    Jin, B
    Liu, H
    SOIL DYNAMICS AND EARTHQUAKE ENGINEERING, 2000, 19 (04) : 269 - 275
  • [26] Dynamic responses of a poroelastic half-space from moving trains caused by vertical track irregularities
    Cao, Z. G.
    Cai, Y. Q.
    Sun, H. L.
    Xu, C. J.
    INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 2011, 35 (07) : 761 - 786
  • [27] Dynamic Behavior of an Embedded Foundation under Horizontal Vibration in a Poroelastic Half-Space
    Chen, Yang
    Zhao, Wen
    Jia, Pengjiao
    Han, Jianyong
    Guan, Yongping
    APPLIED SCIENCES-BASEL, 2019, 9 (04):
  • [28] DYNAMIC ANALYSIS OF A SLAB TRACK ON THE POROELASTIC HALF-SPACE SUBJECTED TO MOVING LOADS
    Cai, Y-Q.
    Wang, Y-W.
    Cao, Z-G.
    RECENT DEVELOPMENTS OF GEOTECHNICAL ENGINEERING, 2010, : 264 - 269
  • [29] Dynamic 2.5-D green's function for a poroelastic half-space
    Zhou, Shunhua
    He, Chao
    Di, Honggui
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2016, 67 : 96 - 107
  • [30] RESPONSE OF POROELASTIC HALF-SPACE TO STEADY-STATE HARMONIC SURFACE TRACTIONS
    HALPERN, MR
    CHRISTIANO, P
    INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 1986, 10 (06) : 609 - 632