Revisiting the Solute Transport Equation Associated with Coupled Chemo-mechanical Consolidation Problems in Perfectly Semi-permeable Porous Media

IF 2.7 3区工程技术 Q3 ENGINEERING, CHEMICAL

Transport in Porous Media Pub Date : 2026-10-10 DOI:10.1007/s11242-026-02358-6

Chongbin Zhao, Yao Liu, B. E. Hobbs, A. Ord, Xiangtao Zhang

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Abstract

The fundamental characteristic of a semi-permeable porous medium, by which we mean a perfectly semi-permeable porous medium in this study, is that the solvent is allowed to move but the solute is not. Due to this fundamental characteristic, there should be no solute mass flux within a solution-saturated semi-permeable porous medium. Consequently, the solute is not allowed to be transported either by solute diffusion or by solvent advection in the semi-permeable porous medium. This means that the conventional form of solute transport equation, which involves both the solute diffusion and solvent advection transport terms, cannot be used to describe the mass conservation of the solute in the semi-permeable porous medium. However, in dealing with the coupled chemo-mechanical consolidation problem in a solution-saturated semi-permeable porous medium, the conventional form of solute transport equation was incorrectly used to describe the mass conservation of the solute in the semi-permeable porous medium. The main purpose of this study is to investigate how this conceptual error affects the numerical solutions for dealing with the coupled chemo-mechanical consolidation problem in a solution-saturated semi-permeable porous medium. This purpose has been achieved through using the following two different kinds of mass conservation equations of the solute in the semi-permeable porous medium. The first is the conventional form of solute transport equation, just like what was incorrectly used in the preceding study, while the second is a local mass conservation equation of the solute, which is presented in this study, in the semi-permeable porous medium. The related theoretical and numerical results have demonstrated that using the conventional form of solute transport equation can lead to the incorrect distributions of the solute concentration and porosity within the solution-saturated semi-permeable porous medium.

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完全半透多孔介质中溶质输运方程与化学-力学耦合固结问题的再探讨

半透性多孔介质的基本特征，在本研究中我们指的是完全半透性多孔介质，是允许溶剂移动，而溶质不移动。由于这一基本特性，在溶液饱和的半透多孔介质中不应存在溶质质量通量。因此，不允许溶质在半透性多孔介质中通过溶质扩散或溶剂平流传输。这意味着传统形式的溶质输运方程，既包括溶质扩散项，也包括溶质平流输运项，不能用于描述半透多孔介质中溶质的质量守恒。然而，在处理溶液饱和半渗透多孔介质中化学-力学耦合固结问题时，传统的溶质输运方程不能正确地描述溶质在半渗透多孔介质中的质量守恒。本研究的主要目的是研究这种概念误差如何影响处理溶液饱和半渗透多孔介质中化学-力学耦合固结问题的数值解。这一目的是通过使用以下两种不同的溶质在半渗透多孔介质中的质量守恒方程来实现的。第一种是传统形式的溶质输运方程，就像之前的研究中错误使用的那样；第二种是本研究中提出的溶质在半渗透多孔介质中的局部质量守恒方程。相关的理论和数值结果表明，使用传统形式的溶质输运方程会导致溶质浓度和孔隙率在溶液饱和半渗透多孔介质中的不正确分布。

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来源期刊

Transport in Porous Media 工程技术-工程：化工

CiteScore

5.30

自引率

7.40%

发文量

155

审稿时长

4.2 months

期刊介绍： -Publishes original research on physical, chemical, and biological aspects of transport in porous media- Papers on porous media research may originate in various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering)- Emphasizes theory, (numerical) modelling, laboratory work, and non-routine applications- Publishes work of a fundamental nature, of interest to a wide readership, that provides novel insight into porous media processes- Expanded in 2007 from 12 to 15 issues per year. Transport in Porous Media publishes original research on physical and chemical aspects of transport phenomena in rigid and deformable porous media. These phenomena, occurring in single and multiphase flow in porous domains, can be governed by extensive quantities such as mass of a fluid phase, mass of component of a phase, momentum, or energy. Moreover, porous medium deformations can be induced by the transport phenomena, by chemical and electro-chemical activities such as swelling, or by external loading through forces and displacements. These porous media phenomena may be studied by researchers from various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering).