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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 the Brownstein-Tarr theory, by using the eigenfunctions expansion method, the theoretical calculation formula for relaxation of the pore model of oil-water saturated spherical tubes is given by solving the Bloch governing equation based on the diffusion effect. The theoretical calculation results show that under water wet conditions, The relaxation process of oil is only related to the oil saturation but not to the pore structure of the rock.According to the theoretical calculation results, the relaxation of the water in the spherical tube model is numerically simulated. The simulation results show that the main relaxation process of the ball and the tube Is a single exponential function, the rest is negligible compared to the relaxation of water in the tube model, which approximates a double exponential decay process.