Solute transport through a deforming porous medium
Solute transport through a deforming porous medium
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DOI：
10.1002/nag.219
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发表时间：
2002-06-01
影响因子：
4
通讯作者：
Smith, DW
中科院分区：
文献类型：
--
作者：
Peters, GP;Smith, DW
溶质在多孔介质中的传输通常是假设多孔介质是刚性的。然而，在多孔介质变形的情况下，存在许多应用，包括城市垃圾填埋场衬砌、尾矿坝和地面下沉。本文利用质量平衡定律推导了变形多孔介质的流动方程和输运方程。该方程在空间坐标系和材料坐标系中都得到了推导。以工程填埋场衬垫中的溶质运移为例，说明了刚性多孔介质的理论与变形多孔介质的小变形和大变形分析之间的差异。结果表明，大变形模型的溶质穿透时间较短，小变形模型次之，刚性多孔介质模型次之。研究还发现，在大变形分析中考虑空间和时间上的空洞率变化是很重要的。结果表明，与环境工程师通常采用的标准输运分析方法相比，采用非线性大变形模型可以大大缩短溶质穿透时间。版权所有(C)2002 John Wiley Sons，Ltd.
Solute transport through a porous medium is typically modelled 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, mass balance laws are used to derive the flow and transport equations for a deforming porous medium. The equations are derived in both spatial and material co-ordinate 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 found that it is important to include spatial and temporal void ratio variations in the large deformation analysis. It is shown that a non-linear large deformation model may greatly reduce the solute breakthrough time, compared to a standard transport analysis typically employed by environmental engineers. Copyright (C) 2002 John Wiley Sons, Ltd.