多段压裂水平井三线性流模型适用性研究
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摘要
三线性流模型是目前求解多段压裂水平井试井模型的常用方法之一。采用正交试验、极差分析法和方差分析法,分析了裂缝半长、内区宽度、储层半长、无因次裂缝导流能力、内区渗透率对三线性流模型与数值模型压力及压力导数双对数曲线拟合的影响。研究表明,影响两种模型压力及压力导数双对数曲线拟合程度的排序为:无因次裂缝导流能力(F_(CD))>内区渗透率(k_I)>裂缝半长(x_f)>储层半长(x_e)>内区宽度(y_e)。无因次裂缝导流能力对两种模型压力特征曲线的拟合有显著影响,当无因次裂缝导流能力小于1时,曲线拟合效果差,线性流模型不适用;当无因次裂缝导流能力大于1时,曲线拟合效果较好,线性流模型适用。
A trilinear flow model is one of the common methods solving the well test models for the multistage fractured horizontal wells. By the orthogonal test, the range analysis method and the variance analysis method, we analyzed the influence of the half fracture length, the half reservoir thickness, the width of the inner zone, the dimensionless fracture conductivity and the permeability in inner zone on the double log curves fitting of the pressure and the pressure derivative of the trilinear flow model and numerical model. According to this analysis, the factors affecting the curves of the pressure characteristic curves of two models ranged from more to less are the dimensionless fracture conductivity(F_(CD)), the permeability in inner zone(k_I), the half fracture length(x_f), the half reservoir thickness(x_e)and the width of inner zone(y_e). The fracture conductivity affect obviously on the fitting of the pressure characteristic curves of two models. When the fracture conductivity is less than 1, the curve fitting effect is poor, so the linear flow model is not applicable. Otherwise, when the fracture conductivity is greater than 1, the curve fitting effect is good, so the linear flow model is suitable.
A trilinear flow model is one of the common methods solving the well test models for the multistage fractured horizontal wells. By the orthogonal test, the range analysis method and the variance analysis method, we analyzed the influence of the half fracture length, the half reservoir thickness, the width of the inner zone, the dimensionless fracture conductivity and the permeability in inner zone on the double log curves fitting of the pressure and the pressure derivative of the trilinear flow model and numerical model. According to this analysis, the factors affecting the curves of the pressure characteristic curves of two models ranged from more to less are the dimensionless fracture conductivity(F_(CD)), the permeability in inner zone(k_I), the half fracture length(x_f), the half reservoir thickness(x_e)and the width of inner zone(y_e). The fracture conductivity affect obviously on the fitting of the pressure characteristic curves of two models. When the fracture conductivity is less than 1, the curve fitting effect is poor, so the linear flow model is not applicable. Otherwise, when the fracture conductivity is greater than 1, the curve fitting effect is good, so the linear flow model is suitable.
引文
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[2]单娴,姚军.压裂水平井生产效果影响因素分析[J].油气田地面工程,2011,30(2):74-76.
[3]Gringarten A C,Ramey H J.Unsteady-state pressure distributions created by a well with a single horizontal fracture,partial penetration,or restricted entry[J].Society of Petroleum Engineers Journal,1974,14(4):413-426.
[4]Lee S T,John R.A new approximate analytic solution for finiteconductivity vertical fractures[J].SPE Formation Evaluation,1986,1(1):75-88.
[5]Brown M L,Ozkan E,Raghavan R S,et al.Practical solutions for pressure transient responses of fractured horizontal wells in unconventional reservoirs[J].Journal of Petroleum Technology,2010,62(2):63-64.
[6]Stalgorova E,Mattar L.Practical analytical model to simulate production of horizontal wells with branch fractures[C]//paper SPE-162515-MS presented at the SPE Canadian Unconventional Resources Conference,30 October-1 November 2012,Calgary,Alberta,Canada.
[7]Stalgorova E,Mattar L.Analytical model for unconventional multifractured composite systems[J].SPE Reservoir Evaluation&Engineering,2012,16(3):246-256.
[8]姚军,殷修杏,樊冬艳,等.低渗透油藏的压裂水平井三线性流试井模型[J].油气井测试,2011,20(5):1-5.
[9]谢亚雄,刘启国,刘振平,等.低渗透油藏压裂水平井压力动态特征研究[J].科学技术与工程,2014,14(19):64-68.
[10]王本成,贾永禄,李友全,等.多段压裂水平井试井模型求解新方法[J].石油学报,2013,34(6):1150-1156.
[11]高杰,张烈辉,刘启国,等.页岩气藏压裂水平井三线性流试井模型研究[J].水动力学研究与进展A辑,2014,29(1):108-113.
[12]郭小哲,周长沙.页岩气储层压裂水平井三线性渗流模型研究[J].西南石油大学学报(自然科学版),2016,38(2):86-94.
[13]程时清,刘斌,李双,等.多段生产水平井试井解释方法[J].中国海上油气,2014,26(6):44-50.
[14]姚军,刘丕养,吴明录.裂缝性油气藏压裂水平井试井分析[J].中国石油大学学报(自然科学版),2013,37(5):107-113.
[15]樊冬艳,姚军,孙海,等.页岩气藏分段压裂水平井不稳定渗流模型[J].中国石油大学学报(自然科学版),2014,38(5):116-123.
[16]尹洪军,杨春城,徐子怡,等.分段压裂水平井压力动态分析[J].东北石油大学学报,2014,38(3):75-80.
[17]何军,范子菲,宋珩,等.压裂水平井渗流理论研究进展[J].地质科技情报,2015,34(4):158-164.
[18]L Fan,J W Thompson,J R Robinson.Understanding gas production mechanism and effectiveness of well stimulation in the Haynesville shale through reservoir simulation[C]//paper SPE-136696-MS presented at the Canadian Unconventional Resources and International Petroleum Conference,19-21 October 2010,Calgary,Alberta,Canada.
[19]高杰.页岩气藏多段压裂水平井压力动态特征研究[D].四川成都:西南石油大学,2014.
[20]马希文.正交设计的数学理论[M].北京:人民教育出版社,1981:55-58.