流线法在二维两相渗流解析求解中的应用
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摘要
以五点井网为例,基于压力叠加原理及Buckley-Leverett方程,利用流线法求解特征线,建立了二维两相非活塞式驱替的解析求解模型,并运用该模型对驱替过程中的饱和度分布、驱替前缘位置等进行了计算。文中将Buckley-Leverett方程应用于多维计算,给出了二维两相渗流问题的解析求解方法,并将计算结果与Eclipse数值求解结果进行对比,验证了该方法的实用性,对渗流计算的简化及解析求解理论向多维多相的进一步发展具有一定的推进意义。
Based on the pressure superposition principle and Buckley-Leverett equation,the analytical solution model of 2D two-phase non-piston displacement in five-spot pattern was established.The model was applied to calculate the saturation distribution,displacement front position in the process of displacement.The Buckley-Leverett equation was applied into multidimensional computation in this paper.The analytic solution was given for 2D two-phase flow problem.Through comparing the analytic results with the Eclipse numerical results,the practicability of this method had been verified.It has certain significance for promoting seepage calculation simplification and further development of analytical solution theory to multi-dimension and multiphase.
Based on the pressure superposition principle and Buckley-Leverett equation,the analytical solution model of 2D two-phase non-piston displacement in five-spot pattern was established.The model was applied to calculate the saturation distribution,displacement front position in the process of displacement.The Buckley-Leverett equation was applied into multidimensional computation in this paper.The analytic solution was given for 2D two-phase flow problem.Through comparing the analytic results with the Eclipse numerical results,the practicability of this method had been verified.It has certain significance for promoting seepage calculation simplification and further development of analytical solution theory to multi-dimension and multiphase.
引文
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[2]Monteagudo J E P,Firoozabadi A,RERI.Numerical simulation of waterinjection in disconnected and connected fractured media usingJacobian-Free fully implicit control volume method[R].SPE 89449,2004.
[3]Monteagudo J E P,Rodriguez A A,Florez H,et al.Simulation of flow indiscrete deformable fractured porous media[R].SPE 141267,2011.
[4]高纯福,张辉军,杨文新,等.非线性渗流三维二相油藏数值模拟软件开发[J].武汉理工大学学报,2008,30(2):122-124.
[5]杨耀忠,韩子臣,周维四,等.多层二维二相油藏数值模拟并行技术[J].油气地质与采收率,2001,8(6):52-54.
[6]赵卫东.多孔介质不混溶二相驱动问题的一种新的差分解法及收敛性分析[J].山东大学学报:自然科学版,1997,32(2):144-150.
[7]付崇清.齐40块微地震监测汽驱前缘分析[J].特种油气藏,2008,15(5):60-62.
[8]邓英尔,刘慈群.具有启动压力梯度的油水两相渗流理论与开发指标计算方法[J].石油勘探与开发,2001,25(6):36-41.
[9]Hastings J J,Muggeridge A H,Blunt M J.A new streamline method forevaluating uncertainty in small-scale,two-phase flow properties[R].SPE 66349,2001.
[10]Datta-Gupta A.Streamline simulation:A technology update[R].SPE65604,2000.
[11]King M J,Datta-Gupta A.Streamline simulation:A current perspective[J].In Situ,1998,22(1):91.
[12]Lolomari T,Bratvedt K,Crane M,et al.The use of streamlinesimulationin reservoir management:Methodology and case studies[R].SPE 63157,2000.
[13]吴明录,姚军,黎锡瑜,等.应用流线数值试井方法研究聚合物驱油藏剩余油分布[J].石油钻探技术,2009,37(3):101-104.
[14]吴明录,姚军,王子胜.流线法确定注聚前缘应用研究[C]//中国石化提高油气采收率研究中心.高含水期油藏提高采收率国际会议论文集.东营:中国石油大学出版社,2007:114-119.
[15]姚军,吴明录.部分射开井流线数值试井解释模型及压力响应[J].石油勘探与开发,2009,36(4):106-111.
[16]艾敬旭,单学军,侯天江.五点井网注水井压裂裂缝参数对油井产量的影响[J].断块油气田,2011,18(5):649-652.
[17]李再钧,宫鹏骐,王宇,等.多裂缝渗流场流线模拟方法[J].断块油气田,2012,19(2):225-227.
[18]李伟才,崔连训,赵蕊.水动力改变液流方向技术在低渗透油藏中的应用:以新疆宝浪油田宝北区块为例[J].石油与天然气地质,2012,33(5):796-801,810.
[19]郭衍茹,练章华,魏臣兴,等.气井的流固耦合渗流场分析[J].断块油气田,2012,19(4):481-484.
[20]郭文卿,李志平,杨燕春,等.液流转向技术在赵凹油田Ⅳ31层开发中的应用[J].石油地质与工程,2012,26(6):80-82.
[21]贾俊山.优势流场表征技术[J].断块油气田,2011,18(5):626-629.
[22]刘伟伟,苏月琦,王茂文,等.特低渗油藏压裂井注采井距与注水见效关系[J].断块油气田,2012,19(6):736-739.
[2]Monteagudo J E P,Firoozabadi A,RERI.Numerical simulation of waterinjection in disconnected and connected fractured media usingJacobian-Free fully implicit control volume method[R].SPE 89449,2004.
[3]Monteagudo J E P,Rodriguez A A,Florez H,et al.Simulation of flow indiscrete deformable fractured porous media[R].SPE 141267,2011.
[4]高纯福,张辉军,杨文新,等.非线性渗流三维二相油藏数值模拟软件开发[J].武汉理工大学学报,2008,30(2):122-124.
[5]杨耀忠,韩子臣,周维四,等.多层二维二相油藏数值模拟并行技术[J].油气地质与采收率,2001,8(6):52-54.
[6]赵卫东.多孔介质不混溶二相驱动问题的一种新的差分解法及收敛性分析[J].山东大学学报:自然科学版,1997,32(2):144-150.
[7]付崇清.齐40块微地震监测汽驱前缘分析[J].特种油气藏,2008,15(5):60-62.
[8]邓英尔,刘慈群.具有启动压力梯度的油水两相渗流理论与开发指标计算方法[J].石油勘探与开发,2001,25(6):36-41.
[9]Hastings J J,Muggeridge A H,Blunt M J.A new streamline method forevaluating uncertainty in small-scale,two-phase flow properties[R].SPE 66349,2001.
[10]Datta-Gupta A.Streamline simulation:A technology update[R].SPE65604,2000.
[11]King M J,Datta-Gupta A.Streamline simulation:A current perspective[J].In Situ,1998,22(1):91.
[12]Lolomari T,Bratvedt K,Crane M,et al.The use of streamlinesimulationin reservoir management:Methodology and case studies[R].SPE 63157,2000.
[13]吴明录,姚军,黎锡瑜,等.应用流线数值试井方法研究聚合物驱油藏剩余油分布[J].石油钻探技术,2009,37(3):101-104.
[14]吴明录,姚军,王子胜.流线法确定注聚前缘应用研究[C]//中国石化提高油气采收率研究中心.高含水期油藏提高采收率国际会议论文集.东营:中国石油大学出版社,2007:114-119.
[15]姚军,吴明录.部分射开井流线数值试井解释模型及压力响应[J].石油勘探与开发,2009,36(4):106-111.
[16]艾敬旭,单学军,侯天江.五点井网注水井压裂裂缝参数对油井产量的影响[J].断块油气田,2011,18(5):649-652.
[17]李再钧,宫鹏骐,王宇,等.多裂缝渗流场流线模拟方法[J].断块油气田,2012,19(2):225-227.
[18]李伟才,崔连训,赵蕊.水动力改变液流方向技术在低渗透油藏中的应用:以新疆宝浪油田宝北区块为例[J].石油与天然气地质,2012,33(5):796-801,810.
[19]郭衍茹,练章华,魏臣兴,等.气井的流固耦合渗流场分析[J].断块油气田,2012,19(4):481-484.
[20]郭文卿,李志平,杨燕春,等.液流转向技术在赵凹油田Ⅳ31层开发中的应用[J].石油地质与工程,2012,26(6):80-82.
[21]贾俊山.优势流场表征技术[J].断块油气田,2011,18(5):626-629.
[22]刘伟伟,苏月琦,王茂文,等.特低渗油藏压裂井注采井距与注水见效关系[J].断块油气田,2012,19(6):736-739.
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