对Willhite经验公式的改进  

Improved Willhite empirical formula

作　　者：邓森[1,2] 李斌会 赵宇[1,2] Deng Sen;LI Binhui;ZHAO Yu(Exploration and Development Research Institute of Daqing Oilfield Co.,Daqing 163712,China;Heilongjiang Provincial Key Laboratory of Reservoir Physics&Fluid Mechanics in Porous Medium,Daqing 163712,China)

机构地区：[1]大庆油田有限责任公司勘探开发研究院,黑龙江大庆163712 [2]黑龙江省油层物理与渗流力学重点实验室,黑龙江大庆163712

出　　处：《复杂油气藏》2019年第4期52-55,共4页Complex Hydrocarbon Reservoirs

基　　金：国家科技重大专项“精细注采结构优化调整技术”(2016ZX05010002-001)。

摘　　要：传统的油水相对渗透率曲线经验公式较多,最经典的为Willhite公式。Willhite公式的油相指数和水相指数是常数,对于油水相对渗透率突变较大的情况拟合误差较大,有必要对其进行改进。经过对传统经验公式的研究,并对大庆油田93条油水相对渗透率曲线进行分析对比,提出了拟合精度更高的经验公式。改进的经验公式把油相指数和水相指数看作含水饱和度的函数,利用最小二乘法原理得到相应的回归系数,进而得到新的油水相对渗透率经验公式。新公式更能反映油水相渗规律的变化,可应用于油田生产实践。There are many empirical formulas for curves of oil-water relative permeability.However,the most classic one is Willhite formula.In the Willhite formula,the indexes of oil and water phases are constant.There is a larger fitting error if a sudden change in the oil-water relative permeability is bigger.So,it is necessary to improve the Willhite formula.After studying the traditional empirical formula and comparatively analyzing 93 curves of oil-water relative permeability taken from Daqing Oilfield,it was proposed an empirical formula with a higher fitting accuracy.In the improved empirical formula,the oil phase index and the water phase index are considered as the function of water saturation.According to the principle of least squares,corresponding regression coefficients are obtained.And then it is obtained a new empirical formula of oil-water relative permeability.The improved empirical formula can better reflect the change of oil-water phase permeability law,and can be applied to production practice of oilfield.

关 键 词：油水相对渗透率 含水饱和度 Willhite公式 

分 类 号：TE341[石油与天然气工程—油气田开发工程]