Nonequilibrium capillary pressure and relative permeability curves of porous media

Nonequilibrium capillary pressure and relative permeability curves of porous media
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DOI:
10.1002/aic.690491004
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发表时间:
2003-10-01
期刊:
影响因子:
3.7
通讯作者:
Karoutsos, V
Karoutsos, V
中科院分区:
工程技术3区
文献类型:
--
作者:
Tsakiroglou, CD;Theodoropoulou, MA;Karoutsos, V

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在模型多孔介质上进行的非稳态不混相驱替实验的历史匹配表明,非平衡毛细管压力和相对渗透率函数对主要流动模式敏感。随着毛细管数量的增加,网络位移模式逐渐从侵入渗流簇转变为稳定位移。对于一次排水,毛细管压力和相对渗透率曲线是毛细管数的增函数。相关宏观参数对毛细管数的依赖性与梯度渗流理论的标度参数导出的幂律一致,梯度渗流理论描述了位移前沿的增长。毛细管压力热力学理论的材料系数随流体饱和度变化轻微,并且是毛细管数的递减函数。
History matching of unsteady immiscible displacement experiments performed on model porous media reveals that nonequilibrium capillary pressure and relative permeability functions are sensitive to the dominating flow pattern. As the capillary number increases, the network displacement pattern changes gradually from invasion percolation cluster to stable displacement. For primary drainage, the capillary pressure and relative permeability curves are increasing functions of the capillary number. The dependence of the relevant macroscopic parameters on the capillary number is consistent with power laws derived from scaling arguments of gradient percolation theory, which describes the growth of the displacement front. The material coefficient of the thermodynamic theory of capillary pressure changes mildly with fluid saturation and is a decreasing function of the capillary number.