›› 2011, Vol. 32 ›› Issue (9): 2688-2691.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

An analytical solution of two-dimensional Biot’s consolidation due to a point sink within a saturated porous media

LI Pei-chao   

  1. College of Mechanical Engineering, Shanghai University of Engineering Science, Shanghai 201620, China
  • Received:2010-09-21 Online:2011-09-10 Published:2011-09-13

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Abstract: An analytical solution is proposed for the Biot’s consolidation theory within a finite two-dimensional (2D), isotropic, homogeneous, and fluid-saturated poroelastic media due to a point sink when the pore pressure is prescribed on the boundary. The analysis is based on compressible porous media models. Fourier and Laplace transforms and related inversions are implemented; and the exact solutions in the form of double summations of infinite series are obtained. In particular, the steady-state analytical solution due to a point sink of constant pumping rate is presented and validated by the exact solution available in the literature. The proposed analytical solution is applicable for testing the accuracy of numerical schemes; and it also can be used to further understand the behaviour of flow and deformation coupling in a finite 2D domain.

Key words: finite 2D poroelastic media, Biot’s consolidation, finite sine and cosine transforms, analytical solution

CLC Number: 

  • O 357.3
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