致密油多级压裂水平井井网参数分级优化
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摘要
为改善致密油的开发效果,以经济净现值最大化为优化目标,提出了先优化单井裂缝参数,再优化井网参数的分级优化策略,建立了致密油多级压裂水平井井网参数分级优化数学模型。考虑基质中流体的非线性渗流,基质和压裂缝的应力敏感特性,基于嵌入离散裂缝模型建立了致密油藏数值模拟方法;利用耦合协方差矩阵自适应进化策略算法对数学模型进行求解,提出了致密油多级压裂水平井井网参数分级优化方法。与整体优化相比,新的分级优化策略可以在不降低优化结果准确性的基础上提高寻优效率。若不考虑基质中流体的非线性渗流,基质和压裂缝渗透率的应力敏感特性,则优化结果不具有矿场指导意义。
To improve the recovery of tight oil,a hierarchical optimization strategy is built to maximize net present value(NPV),i.e.,to initially optimize single-well fracture parameters,and then optimize well pattern parameters.On this basis,the mathematical model has been created for the hierarchical optimization of well pattern parameters in multi-stage fractured horizontal well of tight oil.First,considering the non-linear flow in matrix and the stress sensitivity of matrix and fracture,a reservoir numerical simulation method of tight oil has been established based on embedded discrete fracture model,and then through the coupling it and the covariance matrix adaptation evolution strategy(CMA-ES)algorithm to solve this mathematical model,an efficient optimization method is proposed on well pattern parameters in multi-stage fractured horizontal well of tight oil.In comparison with overall optimization,the hierarchical optimization strategy proposed in this paper can significantly improve the optimization efficiency but with no reduction in the accuracy of optimization results.In addition,if not considering the non-linear flow in matrix and the stress sensitivity of matrix and fracture permeability,the optimal results will have no guiding significance to mining.
To improve the recovery of tight oil,a hierarchical optimization strategy is built to maximize net present value(NPV),i.e.,to initially optimize single-well fracture parameters,and then optimize well pattern parameters.On this basis,the mathematical model has been created for the hierarchical optimization of well pattern parameters in multi-stage fractured horizontal well of tight oil.First,considering the non-linear flow in matrix and the stress sensitivity of matrix and fracture,a reservoir numerical simulation method of tight oil has been established based on embedded discrete fracture model,and then through the coupling it and the covariance matrix adaptation evolution strategy(CMA-ES)algorithm to solve this mathematical model,an efficient optimization method is proposed on well pattern parameters in multi-stage fractured horizontal well of tight oil.In comparison with overall optimization,the hierarchical optimization strategy proposed in this paper can significantly improve the optimization efficiency but with no reduction in the accuracy of optimization results.In addition,if not considering the non-linear flow in matrix and the stress sensitivity of matrix and fracture permeability,the optimal results will have no guiding significance to mining.
引文
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[15]程时清,汪洋,郎慧慧,等.致密油藏多级压裂水平井同井缝间注采可行性[J].石油学报,2017,38(12):1411-1419.CHENG Shiqing,WANG Yang,LANG Huihui,et al.Feasibility of inter-fracture injection and production for the same multistage fractured horizontal well in tight oil reservoir[J].Acta Petrolei Sinica,2017,38(12):1411-1419.
[16]郭智,贾爱林,冀光,等.致密砂岩气田储量分类及井网加密调整方法---以苏里格气田为例[J].石油学报,2017,38(11):1299-1309.GUO Zhi,JIA Ailin,JI Guang,et al.Reserve classification and well pattern infilling method of tight sandstone gasfield:a case study of Sulige gasfield[J].Acta Petrolei Sinica,2017,38(11):1299-1309.
[17]甘云雁,张士诚,刘书杰,等.整体压裂井网与裂缝优化设计新方法[J].石油学报,2011,32(2):290-294.GAN Yunyan,ZHANG Shicheng,LIU Shujie,et al.A new method for well pattern optimization and integral fracturing design in low permeability reservoirs[J].Acta Petrolei Sinica,2011,32(2):290-294.
[18]赵辉,李阳,康志江.油藏开发生产鲁棒优化方法[J].石油学报,2013,34(5):947-953.ZHAO Hui,LI Yang,KANG Zhijiang.Robust optimization in oil reservoir production[J].Acta Petrolei Sinica,2013,34(5):947-953.
[19]赵辉,谢鹏飞,曹琳,等.基于井间连通性的油藏开发生产优化方法[J].石油学报,2017,38(5):555-561.ZHAO Hui,XIE Pengfei,CAO Lin,et al.Reservoir production optimization method based on inter-well connectivity[J].Acta Petrolei Sinica,2017,38(5):555-561.
[20]XU Shiqian,FENG Qihong,WANG Sen,et al.Optimization of multistage fractured horizontal well in tight oil based on embedded discrete fracture model[J].Computers&Chemical Engineering,2018,117:291-308.
[21]WANG Xiang,HAYNES R D,Feng Qihong.A multilevel coordinate search algorithm for well placement,control and joint optimization[J].Computers&Chemical Engineering,2016,95:75-96.
[22]童勤龙,刘德长,张川.新疆吉木萨尔西大龙口地区航空高光谱油气探测[J].石油学报,2017,38(4):425-435.TONG Qinlong,LIU Dechang,ZHANG Chuan.Airborne hyperspectral hydrocarbon exploration in the west Dalongkou area,Jimusar,Xinjiang[J].Acta Petrolei Sinica,2017,38(4):425-435.
[2]闵春佳,卢双舫,唐明明,等.致密油储层水平井压裂参数优化模拟[J].断块油气田,2015,22(6):794-797.MIN Chunjia,LU Shuangfang,TANG Mingming,et al.Hydrofracturing parameter optimization and simulation of horizontal well in tight oil reservoir[J].Fault-Block Oil and Gas Field,2015,22(6):794-797.
[3]WILSON K C,DURLOFSKY L J.Optimization of shale gas field development using direct search techniques and reduced-physics models[J].Journal of Petroleum Science and Engineering,2013,108:304-315.
[4]MA Xiaodan,GILDIN E,PLAKSINA T.Efficient optimization framework for integrated placement of horizontal wells and hydraulic fracture stages in unconventional gas reservoirs[J].Journal of Unconventional Oil and Gas Resources,2015,9:1-17.
[5]JAHANDIDEH A,JAFARPOUR B.Optimization of hydraulic fracturing design under spatially variable shale fracability[J].Journal of Petroleum Science and Engineering,2016,138:174-188.
[6]杨仁锋,姜瑞忠,刘世华,等.特低渗透油藏非线性渗流数值模拟[J].石油学报,2011,32(2):299-306.YANG Renfeng,JIANG Ruizhong,LIU Shihua,et al.Numerical simulation of nonlinear seepage in ultra-low permeability reservoirs[J].Acta Petrolei Sinica,2011,32(2):299-306.
[7]方文超,姜汉桥,李俊键,等.致密储集层跨尺度耦合渗流数值模拟模型[J].石油勘探与开发,2017,44(3):415-422.FANG Wenchao,JIANG Hanqiao,LI Junjian,et al.A numerical simulation model for multi-scale flow in tight oil reservoirs[J].Petroleum Exploration and Development,2017,44(3):415-422.
[8]FENG Qihong,XU Shiqian,WANG Sen,et al.Apparent permeability model for shale oil with multiple mechanisms[J].Journal of Petroleum Science and Engineering,2019,175:814-827.
[9]RAGHAVAN R,CHIN L Y.Productivity changes in reservoirs with stress-dependent permeability[J].SPE Reservoir Evaluation&Engineering,2004,7(4):308-315.
[10]PEACEMAN D W.Interpretation of well-block pressures in numerical reservoir simulation with nonsquare grid blocks and anisotropic permeability[J].Society of Petroleum Engineers Journal,1983,23(3):531-543.
[11]SANDVE T H.Multiscale simulation of flow and heat transport in fractured geothermal reservoirs[D].Bergen:University of Bergen,2012.
[12]XU Yifei.Implementation and application of the embedded discrete fracture model(EDFM)for reservoir simulation in fractured reservoirs[D].Austin,Texas:University of Texas at Austin,2015.
[13]TENE M,AL KOBAISI M S,HAJIBEYGI H.Algebraic multiscale method for flow in heterogeneous porous media with embedded discrete fractures(F-AMS)[J].Journal of Computational Physics,2016,321:819-845.
[14]NEIDINGER R D.Introduction to automatic differentiation and MATLAB object-oriented programming[J].SIAM Review,2010,52(3):545-563.
[15]程时清,汪洋,郎慧慧,等.致密油藏多级压裂水平井同井缝间注采可行性[J].石油学报,2017,38(12):1411-1419.CHENG Shiqing,WANG Yang,LANG Huihui,et al.Feasibility of inter-fracture injection and production for the same multistage fractured horizontal well in tight oil reservoir[J].Acta Petrolei Sinica,2017,38(12):1411-1419.
[16]郭智,贾爱林,冀光,等.致密砂岩气田储量分类及井网加密调整方法---以苏里格气田为例[J].石油学报,2017,38(11):1299-1309.GUO Zhi,JIA Ailin,JI Guang,et al.Reserve classification and well pattern infilling method of tight sandstone gasfield:a case study of Sulige gasfield[J].Acta Petrolei Sinica,2017,38(11):1299-1309.
[17]甘云雁,张士诚,刘书杰,等.整体压裂井网与裂缝优化设计新方法[J].石油学报,2011,32(2):290-294.GAN Yunyan,ZHANG Shicheng,LIU Shujie,et al.A new method for well pattern optimization and integral fracturing design in low permeability reservoirs[J].Acta Petrolei Sinica,2011,32(2):290-294.
[18]赵辉,李阳,康志江.油藏开发生产鲁棒优化方法[J].石油学报,2013,34(5):947-953.ZHAO Hui,LI Yang,KANG Zhijiang.Robust optimization in oil reservoir production[J].Acta Petrolei Sinica,2013,34(5):947-953.
[19]赵辉,谢鹏飞,曹琳,等.基于井间连通性的油藏开发生产优化方法[J].石油学报,2017,38(5):555-561.ZHAO Hui,XIE Pengfei,CAO Lin,et al.Reservoir production optimization method based on inter-well connectivity[J].Acta Petrolei Sinica,2017,38(5):555-561.
[20]XU Shiqian,FENG Qihong,WANG Sen,et al.Optimization of multistage fractured horizontal well in tight oil based on embedded discrete fracture model[J].Computers&Chemical Engineering,2018,117:291-308.
[21]WANG Xiang,HAYNES R D,Feng Qihong.A multilevel coordinate search algorithm for well placement,control and joint optimization[J].Computers&Chemical Engineering,2016,95:75-96.
[22]童勤龙,刘德长,张川.新疆吉木萨尔西大龙口地区航空高光谱油气探测[J].石油学报,2017,38(4):425-435.TONG Qinlong,LIU Dechang,ZHANG Chuan.Airborne hyperspectral hydrocarbon exploration in the west Dalongkou area,Jimusar,Xinjiang[J].Acta Petrolei Sinica,2017,38(4):425-435.
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