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Special Topics & Reviews in Porous Media: An International Journal

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ISSN Печать: 2151-4798

ISSN Онлайн: 2151-562X

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ANALYSIS OF REALISTIC PLANE STRAIN CONSOLIDATION INDUCED BY SURFACE LOADING WITHIN A FINITE RECTANGULAR REGION

Том 11, Выпуск 4, 2020, pp. 381-394
DOI: 10.1615/SpecialTopicsRevPorousMedia.2020030609
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Краткое описание

This work presents a semianalytical solution of pore fluid pressure and solid matrix deformation in a finite two-dimensional (2D) poroelastic medium subject to surface normal loading. In this study, the porous medium is assumed to be isotropic, homogeneous, linear-elastic, fluid-saturated, and composed of compressible constituents. Finite Fourier and Laplace transforms and inversions are employed to derive the semianalytical solution. The obtained semianalytical solution is in terms of summations of double series. It should be highlighted that the boundary conditions prescribed for the studied consolidation problem are physical. Therefore, the presented semianalytical solution is a solution to the realistic plane strain poroelasticity and is of great use to a wide variety of plane strain poroelastic problems. Then, a case study for the plane strain consolidation of a water-saturated soft clay layer subject to surface normal loading is carried out. The semianalytical solution is verified against the finite element (FE) solution by COMSOL Multi-physics. The quantitative agreement between the FE solution and the semianalytical solution demonstrates the validity and reliability of the presented semianalytical solution in this paper. Meanwhile, a brief analysis of flow-deformation coupling behavior is performed using the semianalytical solution obtained. It manifests clearly the occurrence of the Mandel-Cryer effect. The presented semianalytical solution is of great benefit for an in-depth understanding of the time-dependent hydromechanical behavior of finite 2D fluid-saturated porous materials. In addition, it can serve as a benchmark to calibrate the numerical solutions of plane strain consolidation.

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