预测异质多孔介质中流动的动态毛细管压力-饱和度关系的半分析模型

IF 2.7 3区 工程技术 Q3 ENGINEERING, CHEMICAL Transport in Porous Media Pub Date : 2024-02-20 DOI:10.1007/s11242-024-02058-z
Harris Sajjad Rabbani, Saideep Pavuluri
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引用次数: 0

摘要

毛细管压力定义了非润湿流体和润湿流体之间的压力差。毛细管压力是流动控制方程的一部分,其定义会对多相流环境中流体位移的性质产生深远影响。传统上,毛细管压力-饱和度关系是在平衡条件下确定的,这意味着孔隙尺度上存在的所有流体-流体界面在某一瞬间都保持静态配置。然而,有实验和数值证据表明,流体流动的动态性质在确定毛细管压力-饱和度关系的趋势方面确实起着重要作用。本文以流体力学基本定律为基础,结合流体流动的动力学特性,首次建立了一个半解析模型,用于预测排水位移过程中的毛细管压力-饱和度曲线。所提出的半解析模型可用于现有的多相流模拟器,以快速计算动态流动条件下不同饱和度流动介质的毛细管压力。所提出的半解析模型已根据文献中的实验和数值数据集进行了验证,这些数据集涉及不同的流动条件和不同的流体属性。我们注意到,所提出的半解析模型预测的结果与文献数据的匹配度令人满意。在进行整体敏感性分析后,我们注意到多孔介质的特性和流固相互作用在确定毛细管压力-饱和度曲线的趋势方面起着重要作用。
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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Semi-analytical Model to Predict Dynamic Capillary Pressure–Saturation Relationship for Flows in Heterogeneous Porous Media

The capillary pressure defines pressure difference between non-wetting and wetting fluids. The capillary pressure is part of the flow governing equations, and its definition can have a profound impact on the nature of fluids displacement in a multiphase flow environment. Conventionally, capillary pressure–saturation relationships are determined under equilibrium conditions which signify that all the fluid–fluid interfaces that exist at the pore scale maintain a static configuration at a certain instant in time. However, there exist experimental and numerical evidences that state that the dynamic nature of fluid flows indeed plays a prominent role in defining the trends of the capillary pressure–saturation relationships. In this paper, we develop a first of a kind semi-analytical model to predict the capillary pressure–saturation curves during drainage displacement by integrating the dynamics of fluid flow based on fundamental laws of fluid mechanics. The proposed semi-analytical model can potentially be incorporated into existing multiphase flow simulators to rapidly compute the capillary pressure at various saturations of the flow medium under dynamic flow conditions. The presented semi-analytical model has been validated against experimental and numerical data sets available in the literature at various flow conditions and considering different sets of fluid properties. We noticed a satisfactory match of the results predicted by the proposed semi-analytical model against the literature data. After performing a holistic sensitivity analysis, we notice that the properties of the porous medium, and the fluid–solid interactions play a significant role in defining the trends of the capillary pressure–saturation curves.

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来源期刊
Transport in Porous Media
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).
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