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

doi:10.1007/s10483-021-2685-9

Abstract

Abstract: A three-dimensional (3D) 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.

Key words: poroelastic, pseudo-Stroh formalism, multilayered, point fluid source

2010 MSC Number:

74F10

Lianzhi YANG, Fanmin HE, Yang LI, Zhiyong SONG. Three-dimensional steady-state closed form solution for multilayered fluid-saturated anisotropic finite media due to surface/internal point source. Applied Mathematics and Mechanics (English Edition), 2021, 42(1): 17-38.

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