管线–油藏耦合系统数学模型及求解算法研究  

Study on Mathematical Model and Method of Solving of Pipeline-reservoir Coupled System

作　　者：林春阳[1,2] 张贤松[1,2] 龚斌[3] 刘慧卿[4] 

机构地区：[1]海洋石油高效开发国家重点实验室,北京东城100027 [2]中海油研究总院,北京东城100027 [3]北京大学工学院,北京海淀100871 [4]中国石油大学(北京)石油工程学院,北京昌平102249

出　　处：《西南石油大学学报（自然科学版）》2014年第1期95-100,共6页Journal of Southwest Petroleum University(Science & Technology Edition)

基　　金：国家重点基础研究发展计划(2010CB735505);国家科技重大专项(2011ZX05024–004)

摘　　要：管线输运与油藏流动系统构成了一个耦合系统,为此,提出了聚驱条件下耦合求解管线流动及油藏流动的数学模型及相应的解耦算法。采用的Drift-flux模型可有效描述管线中各相流体的流动状态及过程,同时考虑了聚合物溶液对水相增黏的影响;采用广义达西定律描述油藏流动。计算过程中,两者通过交换边界条件(井筒压力、射孔段各相流量及聚合物浓度)完成该管线–油藏系统的解耦求解过程,有效解决了耦合求解收敛性较差的问题。通过商业软件验证了该数学模型的正确性。解耦计算结果表明,Drift-flux模型可有效描述管线内聚驱条件下的各相流体的流动状态及过程;解耦算法可以有效地求解管线–油藏的耦合流动过程,计算误差与耦合求解算法相比小于5%,计算速度则比耦合求解算法快1～2个数量级。The pipe flow and reservoir fluid form a coupled system. Therefore, a mathematical model is proposed, which is capable of solving pipeline flow system and reservoir fluidity system. In pipeline system, Drift-flux model has been used to elucidate multiphases flow process with consideration of the influence of viscosity increasing of polymer solution. And Darcy laws have been used to describe reservoir fluidity system. On the basis of that, the decoupled solution has been given, the decoupled calculation has been completed by exchanging boundary conditions （wellbore pressure, multiphases flux and polymer concentration on perforations）. As a result, the convergence difficulties of coupled solution have been improved effectively. And the validity is verified by using business software. Results indicate that Drift-flux model can be effectively used to study the multiphases flow in pipeline with polymer solution; and the decoupled solution can efficiently solve the coupled flow process of pipeline and reservoir. Compared with the coupled solution, error is less than 5%. And the computing speed is l0 to 100 times of the coupled solution.

关 键 词：管流 油藏流动 耦合系统 解耦算法 聚合物驱 

分 类 号：TE832[石油与天然气工程—油气储运工程]