粒状多孔介质中的流动驱动变形:无量纲分析

IF 2.7 3区 工程技术 Q3 ENGINEERING, CHEMICAL Transport in Porous Media Pub Date : 2024-05-20 DOI:10.1007/s11242-024-02089-6
Min-Kyung Jeon, Seunghee Kim, Tae-Hyuk Kwon
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引用次数: 0

摘要

由于内部孔隙流体压力的升高,流体注入会引起颗粒多孔介质的机械变形。当涉及两种以上不相溶流体时,由于毛细管力和粘滞阻力的作用,这种作用会变得更加重要。这种与不相溶流体流动相关的耦合水力学行为在可变形多孔介质中的流体注入、存储和回收中发挥着重要作用。本研究利用新提出的无量纲参数绘制了无量纲图,用于预测可变形多孔介质中不相溶流体流动引起的变形。首先进行了一系列水力机械耦合孔隙网络模拟,同时改变毛细管数、流动比率、介质刚度和有效约束应力的数量级。利用毛细管数、流动比率、颗粒级力比和颗粒级压力比等无量纲参数,对模拟结果与之前公布的 Hele-Shaw 实验结果进行了汇总分析。其中,颗粒级压力比包括毛细管压力比(定义为毛细管压力与断裂压力之比)和粘性阻力压力(定义为粘性阻力压力与断裂压力之比)。基于颗粒级压力比的无量纲图(其中毛细管压力比和粘滞阻力压力比定义为毛细管压力和粘滞阻力压力与断裂压力之比)有效地划分了四种变形状态--无变形、毛细管诱导变形、阻力驱动变形和混合模式变形。结果表明,当毛细管压力比大于 10-1 时,会发生毛细管诱导变形,而当粘滞阻力压力比超过 10-2 时,会出现阻力驱动变形。所提出的无量纲图和无量纲参数有望适用于地质地下过程,包括二氧化碳和氢气的地质封存以及提高石油采收率。
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Flow-Driven Deformation in Granular Porous Media: Dimensionless Analysis

Fluid injection can induce mechanical deformation in granular porous media due to the elevation of internal pore fluid pressure. This gains more significance when more than two immiscible fluids are involved, attributable to capillary and viscous drag forces. Such a coupled hydromechanical behavior associated with immiscible fluid flows plays an important role in injection, storage, and recovery of fluids in deformable porous media. This study presents a dimensionless map with newly proposed dimensionless parameters to predict deformation occurrence due to an immiscible fluid flow in deformable porous media. A series of hydromechanically coupled pore network simulations are first performed while varying the capillary number, mobility ratio, medium stiffness, and effective confining stress over orders of magnitudes. The compilation of simulation results with previously published Hele–Shaw experiment results is analyzed with the dimensionless parameters, such as the capillary number, mobility ratio, particle-level force ratios, and particle-level pressure ratios. Particularly, the particle-level pressure ratios include the capillary pressure ratio, defined as the ratio of capillary pressure to fracture pressure, and the viscous drag pressure, defined as the ratio of viscous drag pressure to fracture pressure. The dimensionless map based on the particle-level pressure ratios, where the capillary pressure ratio and viscous drag pressure ratio are defined as the ratios of capillary pressure and viscous drag pressure to fracture pressure, effectively delineates four deformation regimes—no deformation, capillary-induced deformation, drag-driven deformation, and mixed-mode deformation. The results demonstrate that capillary-induced deformation occurs when the capillary pressure ratio is greater than 10−1, while drag-driven deformation is observed when the viscous drag pressure ratio exceeds 10−2. The presented dimensionless map and dimensionless parameters are expected to be applicable for geological subsurface processes, including geological storage of carbon dioxide and hydrogen, and enhanced oil recovery.

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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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