Modelling Transition Between Fully and Partially Saturated Porous Media via a New Implicit Formulation of Interface Evolution

IF 2.6 3区工程技术 Q3 ENGINEERING, CHEMICAL

Transport in Porous Media Pub Date : 2025-09-05 DOI:10.1007/s11242-025-02215-y

Julien Bomberault, Quentin Rousseau, Ngoc Son Nguyen, Giulio Sciarra

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Abstract

Air and water flows occurring in a porous material modify its mechanical properties. Evolution of the interface between saturated and partially saturated layers of a soil is of concern in this paper. In particular, the description of a drainage/imbibition front is developed gathering the two classical saturated and partially saturated poromechanical problems, with pressures of both fluids and solid displacement as unknowns. The presented model enables saturated and partially saturated layers to coexist without considering gaseous air dissolving into liquid water. Nucleation or collapse of the drainage/imbibition front moving from or reaching an air connected boundary is characterised considering the Signorini contact conditions on the liquid phase. The model abilities are confirmed numerically, via finite element simulations, showing among other that this new description of interface motion does not imply hysteresis phenomena. Parametric investigation developed with respect to drainage kinetics and thickness of the layer which regularises the interface between the saturated and the partially saturated domain are also provided.

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基于界面演化新隐式公式的全饱和和部分饱和多孔介质过渡模型

空气和水在多孔材料中的流动改变了其机械性能。本文关注的是饱和层和部分饱和层之间界面的演化。特别是，在流体和固体驱替压力未知的情况下，结合两个经典的饱和和部分饱和孔隙力学问题，开发了排水/吸胀前缘的描述。所提出的模型使饱和层和部分饱和层共存，而不考虑气态空气溶解为液态水。考虑到液相的西格里尼接触条件，排水/吸积锋面从空气连接边界移动或到达空气连接边界的成核或崩溃被表征。该模型的能力通过有限元模拟得到了数值证实，其中显示了这种新的界面运动描述并不意味着迟滞现象。还提供了关于排水动力学和调节饱和和部分饱和区域之间界面的层的厚度的参数研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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).