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研究了油水两相流动条件下的压力恢复试井问题。推导出含水饱和度偏微分方程和压力分布偏微分方程 ;在回归出单井平均相对渗透率曲线的基础上 ,通过求两个偏微分方程的数值解 ,求出了径向上的含油饱和度分布、地层渗透率K和平均地层压力 ;由新引进的变量AD 和BD 之间的直线关系 ,求出了井筒存储系数C值。同时 ,给出了井筒污染系数S值。通过与Gringarten图版法的解释结果对比 ,表明本文给出方法的解释结果比较准确可靠。
The pressure recovery well test under the condition of oil-water two-phase flow was studied. The partial differential equations of water saturation and pressure partial differential equations are deduced. Based on the regression of the average relative permeability curve of single well, the radial oil saturation distribution is obtained by solving the numerical solutions of two partial differential equations , Formation permeability K, and average formation pressure. The wellbore storage coefficient C was determined from the linear relationship between the newly introduced variables AD and BD. At the same time, the value of wellbore pollution coefficient S is given. Compared with the interpretation results of the Gringarten plate method, the results of the method given in this paper are more accurate and reliable.