Abstract

Solute transport through a porous medium is typically modeled assuming the porous medium is rigid. However, many applications exist where the porous medium is deforming, including municipal landfill liners, mine tailings dams, and land subsidence. In this paper, flow and transport equations for a deforming porous medium are presented in both spatial and material coordinate systems. Solute transport through an engineered landfill liner is used as an illustrative example to show the differences between the theory for a rigid porous medium, and small and large deformation analysis of a deforming porous medium. It is found that the large deformation model produces shorter solute breakthrough times, followed by the small deformation model, and then the rigid porous medium model. It is also shown that a nonlinear large deformation model may greatly reduce the solute breakthrough time.

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