油水饱和球管孔隙模型弛豫的理论计算与计算机模拟  

Theoretical computation and numerical simulation of the relaxation of sphere-capillary model saturated with oil and water

作　　者：许峰[1] 刘堂晏[2] 黄永仁[3] 

机构地区：[1]安徽理工大学理学院,淮南232001 [2]中国石油勘探开发研究院测井与遥感技术研究所,北京100083 [3]教育部光谱学与波谱学重点实验室华东师范大学物理系,上海200062

出　　处：《物理学报》2008年第1期550-555,共6页Acta Physica Sinica

基　　金：安徽省教育厅自然科学基金(批准号:KJ2007B216);中国石油创新基金(批准号:O4E7051)资助的课题~~

摘　　要：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.根据理论计算结果对球管模型中水的弛豫进行了数值模拟,模拟结果显示,球和管的主弛豫过程是一个单指数函数,其余部分与之相比可以忽略,即球管模型中水的弛豫可近似为一个双指数衰减过程.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.

关 键 词：核磁共振 弛豫 球管孔隙模型 Bloeh控制方程 

分 类 号：P618.13[天文地球—矿床学]