Magnetohydrodynamics of immiscible Newtonian fluids in porous regions of different variable permeability functions

2区工程技术 Q1 Earth and Planetary Sciences

Journal of Petroleum Science and Engineering Pub Date : 2023-01-01 DOI:10.1016/j.petrol.2022.111113

Pramod Kumar Yadav , Sneha Jaiswal , Amit Kumar Verma , Ali J. Chamkha

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引用次数: 3

Abstract

This work is an analysis of the flow model often occurs in crude oil extraction, blood flow in the arteries, filtration of underground different fluids flowing together. In this analysis, a model of three-layered porous horizontal channel is considered. This problem is significant because of the different permeability functions used for each porous layer of the channel and flow of different Newtonian fluids takes place in these porous regions. The problem is solved for the general case which can be reduced into several particular cases. The flows inside the channel and in every porous layer is governed by the Brinkman's momentum equation for the porous medium. The momentum equations in each region of the present model are the Airy's inhomogeneous differential equations respectively. An analytical closed form solution of the flow in each region have been obtained. Authors have discussed various results of velocity profile, flow rate and wall shear stresses graphically. Our results agree with the previous published results.

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不同变渗透函数多孔区域中不混溶牛顿流体的磁流体力学

这项工作是对原油开采中经常发生的流动模型进行分析，血液在动脉中流动，过滤地下不同的流体共同流动。在分析中，考虑了一个三层多孔水平通道的模型。这个问题是重要的，因为通道的每个多孔层使用不同的渗透率函数，并且不同牛顿流体的流动发生在这些多孔区域中。这个问题是针对一般情况解决的，一般情况可以归结为几个特定情况。通道内部和每个多孔层中的流动由多孔介质的Brinkman动量方程控制。本模型各区域的动量方程分别为艾里非齐次微分方程。得到了各区域流动的解析闭式解。作者用图解法讨论了速度剖面、流速和壁剪切应力的各种结果。我们的结果与之前公布的结果一致。

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

Journal of Petroleum Science and Engineering 工程技术-地球科学综合

CiteScore

11.30

自引率

0.00%

发文量

1511

审稿时长

13.5 months

期刊介绍： The objective of the Journal of Petroleum Science and Engineering is to bridge the gap between the engineering, the geology and the science of petroleum and natural gas by publishing explicitly written articles intelligible to scientists and engineers working in any field of petroleum engineering, natural gas engineering and petroleum (natural gas) geology. An attempt is made in all issues to balance the subject matter and to appeal to a broad readership. The Journal of Petroleum Science and Engineering covers the fields of petroleum (and natural gas) exploration, production and flow in its broadest possible sense. Topics include: origin and accumulation of petroleum and natural gas; petroleum geochemistry; reservoir engineering; reservoir simulation; rock mechanics; petrophysics; pore-level phenomena; well logging, testing and evaluation; mathematical modelling; enhanced oil and gas recovery; petroleum geology; compaction/diagenesis; petroleum economics; drilling and drilling fluids; thermodynamics and phase behavior; fluid mechanics; multi-phase flow in porous media; production engineering; formation evaluation; exploration methods; CO2 Sequestration in geological formations/sub-surface; management and development of unconventional resources such as heavy oil and bitumen, tight oil and liquid rich shales.