Theoretical computation and numerical simulation of the relaxation of sphere-capillary model saturated with oil and water
Theoretical computation and numerical simulation of the relaxation of sphere-capillary model saturated with oil and water
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DOI：
10.7498/aps.57.550
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发表时间：
2008-10
期刊：
影响因子：
--
通讯作者：
Xu Feng;Liu Tangyan;Huang Yong-ren
中科院分区：
文献类型：
--
作者：
Xu Feng;Liu Tangyan;Huang Yong-ren
根据Brownstein-Tarr理论，采用特征函数展开法，通过求解基于扩散效应的Bloch控制方程，给出了油水饱和球管孔隙模型弛豫的理论计算公式.理论计算结果表明，在水润湿条件下，油的弛豫过程只与含油饱和度有关，而与岩石的孔隙结构无关.根据理论计算公式进行了大量的数值模拟，结果表明：球体或毛细管的主要弛豫过程是一个单指数函数，其他弛豫过程可以忽略不计。换句话说，球-毛细管模型的松弛近似为一个双指数下降过程。
According to Brownstein-Tarr theory and using the series expansion method, the Bloch equations controlled by diffusion effect are solved for double-phase pore space of sphere-capillary model saturated with oil and water, and the theoretical relaxation computational formulas for the sphere-capillary model are obtained. The result shows that the relaxation process of oil is only related to oil saturation and isn't associated with pore structure on the condition of wetness. A great deal of computation simulations were carried out based on the theoretical computational formulas, and the numerical simulation results show that the main relaxation process of sphere or capillary is a single exponential function and the other relaxation processes are negligible. In other words, the relaxation of sphere-capillary model is approximatively a double exponential descending process.