裂缝性油藏注水井动态渗吸数学模型及特征分析
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摘要
为分析渗吸作用对注水井驱油效果的影响,将裂缝性油藏分别用双孔单渗模型和双孔双渗模型进行描述,结合渗吸经验公式与一维B-L水驱油理论,建立了2种裂缝性油藏注水井动态渗吸数学模型,并采用Laplace变换与反演方法进行解析求解。分析了2种裂缝性油藏模型的动态渗吸特征。结果表明:当不考虑渗吸作用时,注入水沿裂缝突进较快,驱油效果较差。渗吸作用可以有效控制注入水在裂缝中的突进。随渗吸强度系数的增加,油水两相区的扩大速度变慢,含水上升速度变缓,裂缝中的水能够充分进入基质,驱替出更多的原油。裂缝系统中的原油主要靠水的驱动作用采出,而基质中的原油主要靠渗吸作用驱出,渗吸作用是裂缝性亲水油藏水驱油的主要动力。
In order to analyze the influence of imbibition on oil displacement effect of water injection wells,fractured reservoirs are described by dual-porosity single-permeability model and dual-porosity dual-permeability model respectively. Two kinds of dynamic imbibition mathematical models of water injection wells in fractured reservoirs are established based on empirical imbibition formula and one-dimensional B-L water flooding theory and solved analytically by Laplace transformation and inversion method. The dynamic imbibition characteristics of two fractured reservoir models are analyzed. The results show that,when the imbibition is not considered,the injected water penetrates quickly along the fracture,and the displacement effect is poor. The imbibition can effectively control the inrush of injected water in the fracture. With the increase of imbibition strength coefficient,the expanding speed of oil-water two-phase zone and the rising speed of water cut become slower,and the water in fracture can fully enter the matrix and displace more crude oil. The crude oil in fracture system is produced mainly by water flooding,while the crude oil in matrix is produced mainly by imbibition. Imbibition is the main driving force in the water flooding of fractured hydrophilic reservoirs.
In order to analyze the influence of imbibition on oil displacement effect of water injection wells,fractured reservoirs are described by dual-porosity single-permeability model and dual-porosity dual-permeability model respectively. Two kinds of dynamic imbibition mathematical models of water injection wells in fractured reservoirs are established based on empirical imbibition formula and one-dimensional B-L water flooding theory and solved analytically by Laplace transformation and inversion method. The dynamic imbibition characteristics of two fractured reservoir models are analyzed. The results show that,when the imbibition is not considered,the injected water penetrates quickly along the fracture,and the displacement effect is poor. The imbibition can effectively control the inrush of injected water in the fracture. With the increase of imbibition strength coefficient,the expanding speed of oil-water two-phase zone and the rising speed of water cut become slower,and the water in fracture can fully enter the matrix and displace more crude oil. The crude oil in fracture system is produced mainly by water flooding,while the crude oil in matrix is produced mainly by imbibition. Imbibition is the main driving force in the water flooding of fractured hydrophilic reservoirs.
引文
[1]ARONOFSKY J S,MASSE L,NATANSON S G.A model for the mechanism of oil recovery from the porous matrix due to water invasion in fractured reservoirs[J].Society of Petroleum Engineers,1958,213(1):17-19.
[2]DE SWAAN A.Theory of waterflooding in fractured reservoirs[J].SPE Journal,1978,18(2):117-122.
[3]KAZEMI H,GILMAN J R,ELSHRKAWY A M.Analytical and numerical solution of oil recovery from fractured reservoirs with empirical transfer functions[J].SPE Reservoir Engineering,1992,7(1):219-227.
[4]SHENAWI S H,WU C H,JIANG C et al.A new iterative mathematical model for the analysis of imbibition carbonated waterflood in naturally fractured reservoirs[C].Permian Basin Oil and Gas Recovery Conference,Midland,1994.
[5]CHEN J,MILLER M A,SEPEHRNOORI K.Theoretical investigation of countercurrent imbibition in fractured reservoir matrix blocks[C].SPE Reservoir Simulation Symposium,San Antonio,1995.
[6]GUO B,SCHECHTER D S,BAKER R O.An integrated study of imbibition waterflooding in the naturally fractured spraberry[C].SPE Permian Basin Oil and Gas Recovery Conference,Midland,1998.
[7]POOLADI-DARVISH M,FIROOZABADI A.Cocurrent and countercurrent imbibition in a water-wet matrix block.Society of Petroleum Engineers[J].SPE Journal,2000,5(1):3-11.
[8]PATZEK T,SILIN D.On barenblatt's model of spontaneous countercurrent imbibition[J].Transport in Porous Media,2004,54(3):297-322.
[9]RUTH D W,LI Y,MASON G,MORROW N R.An approximate analytical solution for counter-current spontaneous imbibition[J].Transport in Porous Media,2007,66(3):373-390.
[10]陈忠祥,刘慈群.双重孔隙介质中二相驱替理论[J].力学学报,1980,12(2):109-119.CHEN Zhongxiang,LIU Ciqun.Theory of two phase fluid displacement in dual-porosity media[J].Acta Mechanica Sinica,1980,12(2):109-119.
[11]郭大立.双重孔隙介质中两相驱替理论及其计算[J].西南石油学院学报,1993,15(1):90-92.GUO Dali.Theory and calculation of two phase fluid displacement in dual-porosity media[J].Journal of Southwest Petroleum Institute,1993,15(1):90-92.
[12]邓英尔,刘慈群,王允诚.考虑吸渗的双重介质中垂直裂缝井两相渗流[J].重庆大学学报(自然科学版),2000,23(1):86-89.DENG Yinger,LIU Ciqun,WANG Yuncheng.Two-phase fluid flow of vertical fractured well in dual-porosity media considering imbibition[J].Journal of Chongqing university(natural science edition),2000,23(1):86-89.
[13]邓英尔,刘慈群,刘树根.水平井开发渗透率各向异性双重介质油藏两相渗流[J].断块油气田,2002,9(5):37-39.DENG Yinger,LIU Ciqun,LIU Shugen.Two-phase fluid flow of horizontal well in dual-porosity reservoir with permeability anisotropy[J].Fault-Block Oil and Gas Field,2002,9(5):37-39.
[14]QASEM F,NASHAWI I S,GHARBI R,MIR M.Role of capillary imbibition in partially fractured reservoirs.Petroleum Society of Canada[C].Canadian International Petroleum Conference,Calgary,2006.
[15]ALMULHIM A,ALHARTHY N,TUTUNCU A N et al.Impact of imbibition mechanism on flowback behavior:A numerical study[C].Abu Dhabi International Petroleum Exhibition and Conference,Abu Dhabi,2014.
[16]徐晖,党庆涛,秦积舜,等.裂缝性油藏水驱油渗吸理论及数学模型[J].中国石油大学学报(自然科学版),2009,33(3):99-102.XU Hui,DANG Qingtao,QIN Jishun,et al.Water flooding imbibition theory and mathematical model in fractured reservoirs[J].Journal of China University of Petroleum(Edition of Natural Science),2009,33(3):99-102.
[17]谢伟伟,王晓冬,李晨,等.基于流线应用特征线方法求解双重孔隙介质两维两相渗流问题[J].油气地质与采收率,2018,25(1):94-99.XIE Weiwei,WANG Xiaodong,LI Chen,et al.Application of characteristics method for two-dimensional,two-phase seepage problem in dual-porosity medium based on streamline[J].Petroleum Geology and Recovery Efficiency,2018,25(1):94-99.
[18]BUCKLEY S E,LEVEREET M C.Mechanism of fluid displacement in sands.SPE Journal,1942,146:107-116.
[19]WARREN J E,ROOT P J.The behavior of naturally fractured reservoirs[J].SPE Journal.1963,3(3),245-255.
[20]SHIMAMOTO T,KURAMOTO D,ARIHARA N.A new pressure transient analysis model for water injection well in dual-porosity reservoirs[C].SPE Asia Pacific Oil&Gas Conference and Exhibition,Adelaide,2006.
[2]DE SWAAN A.Theory of waterflooding in fractured reservoirs[J].SPE Journal,1978,18(2):117-122.
[3]KAZEMI H,GILMAN J R,ELSHRKAWY A M.Analytical and numerical solution of oil recovery from fractured reservoirs with empirical transfer functions[J].SPE Reservoir Engineering,1992,7(1):219-227.
[4]SHENAWI S H,WU C H,JIANG C et al.A new iterative mathematical model for the analysis of imbibition carbonated waterflood in naturally fractured reservoirs[C].Permian Basin Oil and Gas Recovery Conference,Midland,1994.
[5]CHEN J,MILLER M A,SEPEHRNOORI K.Theoretical investigation of countercurrent imbibition in fractured reservoir matrix blocks[C].SPE Reservoir Simulation Symposium,San Antonio,1995.
[6]GUO B,SCHECHTER D S,BAKER R O.An integrated study of imbibition waterflooding in the naturally fractured spraberry[C].SPE Permian Basin Oil and Gas Recovery Conference,Midland,1998.
[7]POOLADI-DARVISH M,FIROOZABADI A.Cocurrent and countercurrent imbibition in a water-wet matrix block.Society of Petroleum Engineers[J].SPE Journal,2000,5(1):3-11.
[8]PATZEK T,SILIN D.On barenblatt's model of spontaneous countercurrent imbibition[J].Transport in Porous Media,2004,54(3):297-322.
[9]RUTH D W,LI Y,MASON G,MORROW N R.An approximate analytical solution for counter-current spontaneous imbibition[J].Transport in Porous Media,2007,66(3):373-390.
[10]陈忠祥,刘慈群.双重孔隙介质中二相驱替理论[J].力学学报,1980,12(2):109-119.CHEN Zhongxiang,LIU Ciqun.Theory of two phase fluid displacement in dual-porosity media[J].Acta Mechanica Sinica,1980,12(2):109-119.
[11]郭大立.双重孔隙介质中两相驱替理论及其计算[J].西南石油学院学报,1993,15(1):90-92.GUO Dali.Theory and calculation of two phase fluid displacement in dual-porosity media[J].Journal of Southwest Petroleum Institute,1993,15(1):90-92.
[12]邓英尔,刘慈群,王允诚.考虑吸渗的双重介质中垂直裂缝井两相渗流[J].重庆大学学报(自然科学版),2000,23(1):86-89.DENG Yinger,LIU Ciqun,WANG Yuncheng.Two-phase fluid flow of vertical fractured well in dual-porosity media considering imbibition[J].Journal of Chongqing university(natural science edition),2000,23(1):86-89.
[13]邓英尔,刘慈群,刘树根.水平井开发渗透率各向异性双重介质油藏两相渗流[J].断块油气田,2002,9(5):37-39.DENG Yinger,LIU Ciqun,LIU Shugen.Two-phase fluid flow of horizontal well in dual-porosity reservoir with permeability anisotropy[J].Fault-Block Oil and Gas Field,2002,9(5):37-39.
[14]QASEM F,NASHAWI I S,GHARBI R,MIR M.Role of capillary imbibition in partially fractured reservoirs.Petroleum Society of Canada[C].Canadian International Petroleum Conference,Calgary,2006.
[15]ALMULHIM A,ALHARTHY N,TUTUNCU A N et al.Impact of imbibition mechanism on flowback behavior:A numerical study[C].Abu Dhabi International Petroleum Exhibition and Conference,Abu Dhabi,2014.
[16]徐晖,党庆涛,秦积舜,等.裂缝性油藏水驱油渗吸理论及数学模型[J].中国石油大学学报(自然科学版),2009,33(3):99-102.XU Hui,DANG Qingtao,QIN Jishun,et al.Water flooding imbibition theory and mathematical model in fractured reservoirs[J].Journal of China University of Petroleum(Edition of Natural Science),2009,33(3):99-102.
[17]谢伟伟,王晓冬,李晨,等.基于流线应用特征线方法求解双重孔隙介质两维两相渗流问题[J].油气地质与采收率,2018,25(1):94-99.XIE Weiwei,WANG Xiaodong,LI Chen,et al.Application of characteristics method for two-dimensional,two-phase seepage problem in dual-porosity medium based on streamline[J].Petroleum Geology and Recovery Efficiency,2018,25(1):94-99.
[18]BUCKLEY S E,LEVEREET M C.Mechanism of fluid displacement in sands.SPE Journal,1942,146:107-116.
[19]WARREN J E,ROOT P J.The behavior of naturally fractured reservoirs[J].SPE Journal.1963,3(3),245-255.
[20]SHIMAMOTO T,KURAMOTO D,ARIHARA N.A new pressure transient analysis model for water injection well in dual-porosity reservoirs[C].SPE Asia Pacific Oil&Gas Conference and Exhibition,Adelaide,2006.