Three-dimensional steady-state closed form solution for multilayered fluid-saturated anisotropic finite media due to surface/internal point source  

作　　者：Lianzhi YANG Fanmin HE Yang LI Zhiyong SONG 

机构地区：[1]School of Civil and Resource Engineering,University of Science and Technology Beijing,Beijing 100083,China [2]Chengdu Surveying Geotechnical Research Institute Co.,Ltd.of China Metallurgical Group Corporation,Chengdu 610023,China [3]Department of Aerospace Science and Technology,Space Engineering University,Beijing 101416,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2021年第1期17-38,共22页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.51704015);China Scholarship Council(No.201706465064)。

摘　　要：A three-dimensional(3 D)steady-state solution of fluid saturated anisotropic finite media is presented.The eigenequation method and the pseudo-Stroh formalism are used to obtain the exact solution for homogeneous saturated finite media.The propagator matrix method is introduced to deal with the corresponding multilayered poroelastic media.The poroelastic solutions due to surface or internal point fluid source are obtained.The comparison of the results of the saturated isotropic media in a half space and those obtained by the finite element method is given to illustrate the accuracy of the solution in a finite domain.Numerical solutions of a sandwich poroelastic medium are presented to analyze its hydromechanical behaviors.Two ratios of the horizontal permeability to vertical permeability and different source positions are investigated.The results show that the fluid parameters and source positions have great influence on the hydromechanical behaviors of the layered media.

关 键 词：POROELASTIC pseudo-Stroh formalism MULTILAYERED point fluid source 

分 类 号：O343.8[理学—固体力学]