For heterogeneous and hydrophilic cores with permeability,the relative permeability curve was obtained from the non-stationary experimental data by the conventional JBN method, and there were some anomalies such as "humps" in the water relative permeability curve caused by calculation failure. In addition to experimental factors such as heterogeneity of rock samples,early water breakthrough at the outlet, inappropriate displacement velocity,and difficulties in determining the oil-water viscosity ratio, the limitation of conventional methods such as JBN in processing the experimental data of unsteady water-oil displacement is the root cause for the abnormal shape of the relative permeability curve.To solve the above problems,an oil-water seepage model of low-permeability reservoir was established considering the effect of capillary force.The experimental data of oil-water relative permeability were processed by automatic historical fitting method, and the effects of different methods on the oil-water relative permeability of low-permeability core were compared and analyzed.The results showed that, compared with the JBN and Jones methods, the automatic history fitting method for oil-water relative permeability in low-permeability reservoir based on the optimal objective function was advantaged by smooth curve and obvious rules,and reduced the errors in the calculation of relative permeability in low-permeability reservoir to the greatest extent; when capillary force was considered,the results obtained by the three methods were that the oil relative permeability was increased,the water relative permeability was basically unchanged, and the automatic history fitting method reflected the trend of oil relative permeability in a more reasonable and uniform way.The automatic history fitting method overcame the limitations of conventional methods such as JBN,with better applicability,providing important parameters for subsequent numerical simulation and other studies.
Cui Jian
,
Shen Guihong
,
Shang Lin
,
Sun Yanchun
,
Gong Lirong
,
An Yi
. Optimal Objective Function Processing Method for Oil-Water Relative Permeability of Low-Permeability Reservoirs[J]. Special Oil & Gas Reservoirs, 2022
, 29(1)
: 85
-90
.
DOI: 10.3969/j.issn.1006-6535.2022.01.013
[1] 王国先,谢建勇,李建良,等.储集层相对渗透率曲线形态及开采特征[J].新疆石油地质,2004,25(3):301-304.
WANG Guoxian,XIE Jianyong,LI Jianliang,et al.On relative permeability curves and production characteristics of reservoirs[J].Xinjiang Petroleum Geology,2004,25(3):301-304.
[2] JOHNSON E F,BOSSLER D P,NAUMANN V O.Calculation of relative permeability from displacement experiments[J].Trans.AIME,1959,216(1):370-372.
[3] JONES S C,ROSZELLE W O.Graphical techniques for determining relative permeability from displacement experiments[J].Journal of Petroleum Technology,1978,30(5):807-817.
[4] 宫文超,马志元.整理相对渗透率曲线的历史拟合方法研究[J].大庆石油地质与开发,1986,5(3):39-51.
GONG Wenchao,MA Zhiyuan.Study on the method of history match for relative permeability curves[J].Petroleum Geology & Oilfield Development in Daqing,1986,5(3):39-51.
[5] 宋付权,刘慈群.低渗油藏的两相相对渗透率计算方法[J].西安石油学院学报(自然科学版),2000, 15(1):10-12.
SONG Fuquan,LIU Ciqun.A method for calculating the relative permeabilities of water and oil in low permeability reservoirs[J].Journal of Xi′an Shiyou University(Natural Science Edition),2000,15(1):10-12.
[6] 邓英尔,刘慈群,庞宏伟.考虑多因素的低渗岩石相对渗透率[J].新疆石油地质,2003,24(2):152-154,188.
DENG Yinger,LIU Ciqun,PANG Hongwei.The relative permeability of low-permeability rocks considering multiple factors[J].Xinjiang Petroleum Geology,2003,24(2):152-154,188.
[7] 李克文.根据动态驱替实验数据计算油水相对渗透率曲线的最优化方法[J].江汉石油学院学报,1989, 11(3):45-54.
LI Kewen.An optimistic method for calculating oil-water relative permeability curves from dynamic displacement experimental data[J].Journal of Jianghan Petroleum Institute,1989,11(3):45-54.
[8] 李克文,罗蔓莉,王建新.JBN方法的改进及相应的计算与绘图软件[J].石油勘探与开发,1994,21(3): 99-104,132.
LI Kewen,LUO Manli,WANG Jianxin.Improvements of JNB method and its software for calculating and plotting[J].Petroleum Exploration and Development,1994,21(3):99-104,132.
[9] 陈月明.油藏数值模拟基础[M].东营:石油大学出版社,1989:3-5.
CHEN Yueming.Fundamental of numerical reservoir simulation[M].Dongying:China University of Petroleum Press,1989:3-5.
[10] 高文君,姚江荣,公学成,等.水驱油田油水相对渗透率曲线研究[J].新疆石油地质,2014,35(5):552-557.
GAO Wenjun,YAO Jiangrong,GONG Xuecheng,et al.Study on oil-water relative permeability curves in water flooding oilfields[J].Xinjiang Petroleum Geology,2014,35(5):552-557.
[11] 刘盎然.线性方程组的迭代和最速下降法[J].赤峰学院学报(自然科学版), 2014,30(2):10-13.
LIU Angran.Iterative and most rapid descent methods for system of linear equations[J].Journal of Chifeng University(Natural Science Edition),2014,30(2):10-13.
[12] 刘慧卿,陈月明,吴宏利,等.自动历史拟合计算油水相渗关系新方法[J].断块油气田,1997,4(2):29-32,46.
LIU Huiqing,CHEN Yueming,WU Hongli,et al.New calculation method of oil-water relative permeability by automatic history matching[J].Fault-Block Oil & Gas Field,1997,4(2):29-32,46.
[13] 李克文,沈平平.考虑毛管压力时计算油水相对渗透率的新方法[J].力学与实践,1994,16(2):46-48.
LI Kewen,SHEN Pingping.A new method for calculating the relative permeability of oil and water with consideration of capillary pressure[J].Mechanics in Engineering,1994,16(2):46-48.
[14] 李华兵,李建霆,李文宏,等.低渗透油藏驱油用缔合聚合物的合成及其油藏适应性研究[J].油气藏评价与开发,2020,10(6):24-32.
LI Huabing, LI Jianting, LI Wenhong,et al. Synthesis of associative polymer for flooding in low permeability reservoir and its reservoir adaptability[J]. Reservoir Evaluation and Development, 2020, 10(6):24-32.
[15] 房雨佳,杨二龙,殷代印.裂缝性低渗透油藏不同含水阶段剩余油动用比例研究[J]. 油气藏评价与开发,2019,9(4):12-18.
FANG Yujia,YANG Erlong,YIN Daiyin. Study on utilization ratio of remaining oil in fractured low permeability reservoirs at different water cut stages[J]. Reservoir Evaluation and Development,2019,9(4):12-18.
