Modeling and simulation of macrocapillarity

Modeling and simulation of macrocapillarity
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宏观毛细管现象的建模与模拟

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发表时间:
2009
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通讯作者:
R. Hilfer
R. Hilfer
中科院分区:
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文献类型:
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作者:
R. Hilfer

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宏观毛细现象,简称宏观毛细现象,是指多孔介质中两相和多相渗流过程中发生的毛细现象。目前,人们对多孔介质中的润湿现象和滞后现象知之甚少,因为无论是在物理上还是在工程上,似乎都没有一个完全可预测的理论来描述或预测所有的观测结果。本文推广了一种基于流体相水力渗流概念的最新方法的构成假设。这里提出的理论允许预测剩余饱和度。它可以描述吸胀和排泄同时发生的驱替过程。这与传统的毛管力理论不同,传统理论将毛细压力函数和相对渗透率统一为毛细压力函数和相对渗透率,需要为每个驱替过程指定这些函数作为输入。与传统理论相反,本文提出的方法允许预测毛管压力饱和度关系作为产出。
Macroscopic capillarity, or macrocapillarity for short, refers to capillary phenomena occurring during twophase and multiphase flow in porous media. Wetting phenomena and hysteresis in porous media are at present poorly understood in the sense that neither in physics nor in engineering a fully predictive theory seems to exist, that can describe or predict all observations. This paper extends the consitutive assumptions of a recent approach based on the concept of hydraulic percolation of fluid phases. The theory proposed here allows prediction of residual saturations. It can describe displacement processes in which imbibition and drainage occur simultaneously. This contrasts with the established traditional theory where capillary forces are lumped into capillary pressure function and relative permeabilities, and these functions need to be specified for each displacement process as input. Contrary to the traditional theory the approach advanced here allows to predict capillary pressure saturation relations as output.