长岩芯驱替中不同位置的相渗曲线计算

doi:10.11885/j.issn.1674-5086.2013.03.20.01

摘要/Abstract

摘要：

相对渗透率是一个解释多相不可压缩流体在多孔介质中流动的复杂影响的重要参数，以便校正达西单相流动
方程。但是影响相对渗透率的因素很多，如：流体饱和度、岩石物性、润湿性、历史饱和度（滞后效应）上覆压力、黏土
及颗粒含量、黏度、温度、表面张力、束缚水饱和度、驱替速度和末端效应等。利用桓冠仁、沈平平的均质岩芯一维渗
流相渗推导结果，考虑长岩芯驱替室内实验中一维岩芯排列的非均质性和长岩芯逐级调和排序的特点，利用Matlab 软
件拟合出逐级调和平均渗透率与岩芯累计长度的关系，并反求出绝对渗透率倒数与累计岩芯长度的关系，将关系式由
离散模型转化成连续模型，并代入一维均质相渗模型，利用WC 油田长岩芯驱替实验数据计算出长岩芯驱替过程中不
同位置的相对渗透率曲线，计算结果是可靠的。

关键词: 相渗曲线, 非均质, 长岩芯驱替, 拟合

Abstract:

Relative permeability is an empirical parameter，which interprets the complex effects of the flow of the multi-phase
and incompressible fluid in porous media，so as to calibrate Darcy’s single phase flow equation. The relative permeability can
be influenced by many factors，such as fluid saturation，physical rock properties，wettability，saturation history，overburden
stress，clay and fines content，temperature，interfacial tension，viscosity，magnitude of initial phase saturations，and displacement
rates and capillary outlet phenomena. Based on the results of Huan Guanren and Shen Pingping’s derivation of relative
permeability curve and by considering the character in the displacement experiment whose core arrangement is heterogeneous
in one dimension and harmonious arrangement，we got the relationship between cumulative core length and harmonious average
permeability by Matlab. And then we reversely solved the relationship between absolute permeability and cumulative
core length. We also converted the discrete model into the continuous model. By substituting the above results into the single
dimension homogenous model，we obtained the relative permeability curve in different position of the displaced cores in WC
oilfield. The result is reliable except for few points that fitted poorly.

Key words: relative permeability curve, heterogeneity, long core displacement, fit

孙雷1，闫成海1，潘毅1，陈亮2，李士伦1. 长岩芯驱替中不同位置的相渗曲线计算[J]. 西南石油大学学报(自然科学版), DOI: 10.11885/j.issn.1674-5086.2013.03.20.01.

Sun Lei1, Yan Chenghai1, Pan Yi1, Chen Liang2, Li Shilun1. Calculation of Relative Permeability Curve at Different Position in
Long Core Displacement Experiment[J]. 西南石油大学学报(自然科学版), DOI: 10.11885/j.issn.1674-5086.2013.03.20.01.

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