流动阻力对多孔介质中两相流含水剖面的影响

Advances in Geo-Energy Research, 2018, 2(1):63-71

http://www.astp-agr.com/index.php/Index/Index/detail?id=50

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内容简介：

由于微电子机械系统（MEMS）的快速发展，多孔介质流体性质受到越来越多的关注，这对石油工程具有重大意义。并且，大部分多孔介质中的孔隙和毛管是粗糙的。本文假设多孔介质由一簇弯曲粗糙的毛管组成，基于分形几何理论提出了一个考虑流动阻力的Buckley-Leverett概念模型，模拟水驱油两相流过程，这将有利于准确预测含水剖面。该Buckley-Leverett方程的解是关于分形结构参数（如孔分形维数，分形迂曲度，毛管最大和最小直径），流体性质参数（流体粘度，两相接触角和界面张力等）以及孔隙结构参数（相对粗糙度）的函数。本文详细阐述了扩展Buckley-Leverett方程如何得出含水饱和度与距离之间关系的过程，重点讨论了流动阻力以及与流动阻力有直接关系的孔分形维数对含水饱和度剖面的影响。特别需要提出的是：虽然相对粗糙度对含水饱和度和分流率没有影响，但它会阻碍水驱油作用。相对粗糙度越大，同一含水饱和度对应的流动距离越小，意味着水驱油更难。孔分形维数越大，多孔介质均质性越好，水驱油越容易。

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The effect offlow resistance on water saturation profile for transient two-phase flow infractal porous media

Ting Lu, Zhi-Ping Li, Peng-Feng Lai, YaMeng and Wen-li Ma

(Published: 2018-02-13)

Corresponding author and E-mail:

Zhiping Li, 2002011671@cugb.edu.cn

Citation: Lu, T., Li, Z.P., Lai,P.F., Meng, Y., Ma, W.L. The effect of flow resistance on water saturationprofile for transient two-phase flow in fractal porous media. Advances inGeo-Energy Research, 2018, 2(1): 63-71, doi:10.26804/ager.2018.01.06.

Article Type:Original article

Abstract:

Due to the rapiddevelopment of Micro-Electro-Mechanical System (MEMS), more and more attentionhas been paid to the fluid properties of porous media, which is significant forpetroleum engineering. However, most of surfaces of pores and capillaries inporous media are rough. On the approximation that porous medium consists of abundle of tortuous and rough capillaries, a Buckley-Leverett conceptual modelwith considering flow resistance is developed based on the fractal geometrytheory, which is beneficial to predict watersaturation profile in porous medium. The proposedBuckley-Leverett solution is a function of fractal structural parameters (suchas pore fractal dimension, tortuosity fractal dimension, maximum and minimumdiameters of capillaries), fluid properties (such as viscosity, contact angleand interfacial tension) and pore structure parameter (relative roughness) infractal porous medium. Besides, the relationship between water saturation anddistance is presented according to Buckley-Leverett solution. The impaction offlow resistance on water saturation profile is discussed.

Keywords: fractal, transient two-phase flow,flow resistance, rough surface.

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