底水油藏直井临界产量及最佳射孔程度修正式  

A modified formula for optimum perforation degree of oil wells in reservoir with bottom water

作　　者：朱圣举[1,2] 朱洁 王思仪[1,2] 马维云 ZHU Shengju;ZHU Jie;WANG Siyi;MAWeiyun(Exploration and Development Research Institute of Changqing Oilfield Company,PetroChina,Xi’an 710018,China;National Engineering Laboratory for Exploration and Development of Low-Permeability Oil&Gas Fields,Xi’an 710018,China;The Sixth Gas Production Plant of Changqing Oilfield Company,PetroChina,Xi’an 710018,China;The Eighth Oil Production Plant of Changqing Oilfield Company,PetroChina,Xi’an 710021,China)

机构地区：[1]中国石油长庆油田分公司勘探开发研究院,陕西西安710018 [2]低渗透油气田勘探开发国家工程实验室,陕西西安710018 [3]中国石油长庆油田分公司第六采气厂,陕西西安710018 [4]中国石油长庆油田分公司第八采油厂,陕西西安710021

出　　处：《复杂油气藏》2021年第3期66-69,共4页Complex Hydrocarbon Reservoirs

基　　金：国家科技重大专项“鄂尔多斯盆地大型低渗透岩性地层油气藏开发示范工程”(2016ZX05050)。

摘　　要：针对原有的底水油藏临界产量及最佳射孔程度计算公式存在的错误,依据渗流力学理论,应用平面径向渗流和半球面向心渗流组合模型,重新推导了底水油藏的临界产量及最佳射孔程度计算公式。修正后的最佳射孔程度计算公式与原公式的不同点在于:原公式只能求得数值解,而修正式可求得精确的解析解;原公式只能用数值解法求取最佳射孔程度的最大极限值,而修正式首次利用数学解析的方法,求解了底水油藏最佳射孔程度的最大极限值为1/3。利用鄂尔多斯盆地某底水油藏的实际生产数据进行计算,结果表明:临界产量修正式与原公式计算结果的相对差值随无因次泄油半径(Re/H)的减小而增大,随射孔程度的减小而增大,最大相对差值可达9.24%;最佳射孔程度修正式与原公式计算结果的差值不大,随无因次泄油半径(Re/H)的减小而增大,最大相对差值为0.96%。Regarding the errors in the calculation formulas for critical oil production rate and optimal perforation degree of the original bottom water reservoirs,based on the theory of seepage mechanics,the modified formulas were derived using the combined model of plane radial flow and hemispherical core flow.An important feature of the modified formula for optimum perforation degree,which differs from the original formula,is that an accurate analytical solution can be obtained by the modified formula while only a numerical solution can be obtained by the original formula.Another feature is that the modified formula uses mathematical analysis for the first time to solve one-third of the maximum limit value of optimal perforation degree for a bottom water reservoir,while the original formula can only be used to obtain the maximum limit value of the optimal perforation degree with a numerical solution.The actual production data of a bottom-water reservoir in the Ordos Basin is used to calculate.The results show that the difference between the modified formula and the original one for critical oil production rate increases with the decrease of dimensionless drainage radius(drainage radius/formation thickness),and increases with the decrease of the perforation degree,with the maximum relative difference of 9.24%.The difference between the modified formula and the original one for optimum perforation degree is small,and it increases with the decrease of dimensionless drainage radius,with the maximum relative difference of 0.96%.

关 键 词：底水油藏 临界产量 最佳射孔程度 修正式 解析解 最大值 

分 类 号：TE328[石油与天然气工程—油气田开发工程]