多孔介质中不混溶两相渗流的本构关系
Constitutive Relations for Two-phase Immiscible Fluid Flow in Porous Medium
作者：周军平(重庆大学 西南资源开发与环境灾害控制工程教育部重点实验室)；鲜学福(重庆大学 西南资源开发与环境灾害控制工程教育部重点实验室)；李晓红(重庆大学 西南资源开发与环境灾害控制工程教育部重点实验室)；姜德义(重庆大学 西南资源开发与环境灾害控制工程教育部重点实验室)
Author：Zhou Junping(Key Lab. for the Exploitation of Southwestern Resources and Environmental Disaster Control Eng.,Ministry of Education,Chongqing Univ.)；Xian xuefu(Key Lab. for the Exploitation of Southwestern Resources and Environmental Disaster Control Eng.,Ministry of Education，Chongqing Univ.)；Li Xiaohong(Key Lab. for the Exploitation of Southwestern Resources and Environmental Disaster Control Eng.,Ministry of Education，Chongqing Univ.)；Jiang Deyi(Key Lab. for the Exploitation of Southwestern Resources and Environmental Disaster Control Eng.,Ministry of Education，Chongqing Univ.)
收稿日期：2009-02-17 年卷（期）页码：2010,42(3):107-111
期刊名称：工程科学与技术
Journal Name：Advanced Engineering Sciences
关键字：多孔介质：毛细压力：残余饱和度：相对渗透率：两相流
Key words：porous medium；capillary pressure；residual saturation；relative permeability；two-phase flow
基金项目：国家自然科学基金创新研究群体科学基金资助项目(50621403)；中国博士后科学基金资助项目(20070410205)；重庆市院士基金资助项目（CSTC2005AB6007）
中文摘要
针对描述多孔介质渗流的传统关系模型中毛细压力与饱和度之间关系的不唯一性，基于宏观连续介质理论以及体积、质量、动量守恒定律，以残余饱和度作为状态变量，建立了多孔介质中两相不易混溶不可压缩流体毛细压力、相对渗透率、饱和度之间新的关系模型。与传统方法相比，建立的模型更具一般性，且需要的参数量更少，而且模型中毛管压力以及相对渗透率函数是以一个闭合的显式表达式来表示的；实验结果表明，模型可以很好地描述不混溶两相流体的驱替过程，而且可以解释毛管压力对过程的依赖性以及滞后现象，获取相关参数后，模型可以用来预测残余饱和度的时空分布特征。
英文摘要
In order to solve the problem that the traditional relation function between capillary pressure and saturation for the description of porous media flow is not unique， based on macroscopic continuum medium theory and the general balance laws for mass, momentum and volume，and introducing the residual saturation as state variable，a new constitutive relations model of capillary pressure-residual saturation-relative permeability for two-phase immiscible and incompressible fluids flow was formulated. Compared with the traditional approach，the developed model is more general and requires fewer parameters，moreover，the capillary pressure and relative permeability functions are expressed as a closed explicit formula. The experiment results indicated that the model simulates the process of two-phase immiscible displacement well，and also could be applied to explain process dependence and hysteresis phenomenon in capillary pressure and to predict spatiotemporal distributions of residual saturation.
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