Mathematical model of coupled dual chemical osmosis based on mixture-coupling theory
Mathematical model of coupled dual chemical osmosis based on mixture-coupling theory
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DOI：
10.1016/j.ijengsci.2018.04.010
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发表时间：
2018-08
影响因子：
6.6
通讯作者：
Xiaohui Chen;S. Thornton;W. Pao
中科院分区：
文献类型：
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作者：
Xiaohui Chen;S. Thornton;W. Pao
渗透性很低的土壤和岩石可以作为一个半渗透渗透膜，这将产生渗透流。这种复杂性已被广泛研究，但双重化学渗透，吸附对化学渗透流的影响和随之而来的影响的应力/应变变化仍然不清楚。该研究扩展了混合物耦合理论，引入了化学吸附熵和化学势，为极低渗透岩石中的化学迁移提供了一个新的耦合公式。对经典的达西定律和费克定律进行了修正，加入了化学势和相关条件下吸附的影响，以及双重化学渗透。利用亥姆霍兹自由能将机械变形与水和化学流动耦合。最后，提出了一个考虑双重化学渗透和吸附作用的非饱和水-力-化学耦合模型。这一数学模型提供了使用双重化学物质来控制渗透流和化学物质输运的可能性，这导致了重要的工程应用，例如在核废料处理领域中的应用。
Very low permeability soils and rocks can act as a semi-permeable osmotic membrane, which will generate osmotic flow. Such complexities have been extensively studied, but dual chemical osmosis, the influence of sorption on chemical osmotic flow and the consequent influence on the stress/stain change remains unclear. This study extends mixture-coupling theory, by including chemical sorption entropy and chemical potential, and provides a new-coupled formulation for chemical transport in very low permeability rock. The classical Darcy's Law and Fick's Law have been modified to include the influence of chemical potential and sorption under relevant conditions, and dual chemical osmosis. The mechanical deformation has been coupled with the water and chemical flows using Helmholtz free energy. Finally, a coupled unsaturated hydro-mechanical-chemical model which considers dual chemical osmosis and sorption is presented. This mathematical model provides the possibility of using dual chemicals to control osmotic flow and chemical transport, which leads to important engineering applications such as those in the field of nuclear waste disposal.