多孔介质中的不溶两相流:连续极限中的有效流变学

IF 2.7 3区 工程技术 Q3 ENGINEERING, CHEMICAL
Subhadeep Roy, Santanu Sinha, Alex Hansen
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引用次数: 0

摘要

摘要 我们考虑了多孔介质中的稳态不相溶和不可压缩两相流。人们越来越清楚地认识到,存在这样一种流动状态,即体积流量与压力梯度呈指数大于 1 的幂律关系。当毛细力和粘性力发生竞争时,就会出现这种情况。在粘滞力占主导地位的较高流速下,体积流量与压力梯度呈线性关系。这意味着这两种流动状态之间存在一个交叉压力梯度。在压力梯度足够小的情况下,毛细力占主导地位。如果不相溶流体中的一种或两种都发生渗透,由于界面不会移动,体积流量将与压力梯度成线性关系。如果所有流体都不渗流,则会有一个最小压力梯度阈值来调动界面,从而使流体流动。现在,我们设想一个给定大小的岩心样本。我们提出的问题是,当岩心样品的尺寸增大时,将幂律机制与高流速线性机制区分开来的交叉压力梯度以及在低压梯度下阻止流动的阈值压力梯度会发生什么变化。根据使用毛细管束模型进行的分析计算和使用动态孔隙网络模型进行的数值模拟,我们发现交叉压力梯度和阈值压力梯度随着尺寸的两个不同幂律而减小。这意味着,在孔隙与样品尺寸相比无限小的连续极限中,幂律机制消失了。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Immiscible Two-Phase Flow in Porous Media: Effective Rheology in the Continuum Limit

We consider steady-state immiscible and incompressible two-phase flow in porous media. It is becoming increasingly clear that there is a flow regime where the volumetric flow rate depends on the pressure gradient as a power law with an exponent larger than one. This occurs when the capillary forces and viscous forces compete. At higher flow rates, where the viscous forces dominate, the volumetric flow rate depends linearly on the pressure gradient. This means that there is a crossover pressure gradient that separates these two flow regimes. At small enough pressure gradient, the capillary forces dominate. If one or both of the immiscible fluids percolate, the volumetric flow rate will then depend linearly on the pressure gradient as the interfaces will not move. If none of the fluids percolate, there will be a minimum pressure gradient threshold to mobilize the interfaces and thereby get the fluids moving. We now imagine a core sample of a given size. The question we pose is what happens to the crossover pressure gradient that separates the power-law regime from the high-flow rate linear regime and the threshold pressure gradient that blocks the flow at low pressure gradients when the size of the core sample is increased. Based on analytical calculations using the capillary bundle model and on numerical simulations using a dynamical pore-network model, we find that the crossover pressure gradient and the threshold pressure gradient decrease with two distinct power laws in the size. This means that the power-law regime disappears in the continuum limit where the pores are infinitely small compared to the sample size.

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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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