低渗透油藏水平井产能分析理论研究
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摘要
水平井开采技术已经成为老油田挖潜、新油田开发、提高采收率的重要手段,在油田开发设计中得到了越来越广泛的应用,尤其是对低渗透油藏,用普通直井开发难取得很好的经济效益,而利用水平井开发可获得一定的生产能力。目前,油藏工程研究方面,对水平井产能分析计算的成果较多,国内外有关水平井及分支井与直井联合开发低渗透油藏渗流理论的研究还很少见,处于起步阶段,这是油藏工作者面临的一个崭新的研究课题。本文针对低渗透油藏渗流规律不符合达西定律,普遍存在启动压力梯度的特点,采用渗流力学、油藏工程等基本原理,对低渗透油藏水平井及分支井与直井联合开发渗流理论进行了系统的研究,建立了低渗透油藏水平井及分支井与直井联合开发井网条件下产能计算方程,取得了以下主要认识和结果:
研究了低渗透油藏不同边界条件下水平井单井开发渗流理论及分支井开发渗流理论,利用势的叠加原理、保角变换和等值渗流阻力法,考虑启动压力梯度,建立起低渗透油藏水平井及分支井产能计算方程,公式简单,并具有较高精度。对低渗透油藏水平井产能的计算结果表明,它更接近实际低渗透油藏水平井及分支井产能。
推导出低渗透油藏水平井及分支井与直井联合开发不同井网布井方式时产能计算方法,分析了各种因素的影响,利用该公式计算表明,随着启动压力梯度的增大,水平井、分支井井网产能减小,启动压力梯度对水平井及分支井不同井网产能影响程度随着穿透比的增大而减小。
建立了低渗透油藏水平井不稳定渗流的数学模型,引入了含有启动压力梯度,压力和半径等参数的有效驱动因子,从有效驱动因子、启动压力梯度等方面分析了水平井产能的影响因素,结果表明,随着启动压力梯度的增大,水平井产量逐渐减小,随着有效驱动因子的增大,水平井产量逐渐增大。
研究了低渗透油藏水平井油气两相渗流理论,建立了低渗透油藏水平井油气两相渗流数学模型,实例的计算分析表明,相同井底流压时,启动压力梯度越小,产量越大,对于低渗透油藏应尽量减小启动压力梯度的影响。
研究了低渗透油藏水平井流入流出动态,选取井底作为节点,给出不同启动压力梯度时低渗透油藏水平井合理产量,该理论为现场应用水平井开发低渗透油藏合理产量、合理工作制度的选择具有一定的参考价值。本论文的研究成果着重于低渗透油藏用水平井开发的理论探讨,尤其给出了低渗透油藏分支水平井与直井联合开发的产能计算方法,为开发低渗透油藏提供了新的理论依据;同时也扩展了水平井产能预测的理论和方法。
Horizontal well’s technique of mining has become an important means of enhancing oil recovery, digging old oilfield and developing new oil fields. It was more widely used in developing and designing oil field. Especially for the low permeability reservoir, it’s hard to obtain good economic benefits with using normal vertical wells technique, but we can obtain some production capacity if we developed low permeability reservoir with horizontal wells. At present, the fruit of analysis and calculation to horizontal well’s production is more on research reservoir engineering. The research of filtration theory was very rare in domestic and foreign, which was that apply branch wells, horizontal wells combining vertical wells to develop low permeability reservoir. It is at initial stage and it is a new research theme for reservoir workers. In view of the feature that filtration law was not Darcy law and starting pressure gradient was ubiquitous presence in low permeability reservoir, adopted fundamental principle such as dynamic of fluids through porous media, reservoir engineering and so on, filtration theory was systematically studied, it was that low permeability reservoir was developed by the combination of horizontal well, branch well and straight well. Established deliverability equation under the situation that hole pattern was jointly developed by the combination of horizontal well, branch well and straight well, this article mainly made such cognizance and result as follows:
Single well development filtration theory of horizontal well in low permeability reservoir was studied under different boundary conditions and so did branch well development filtration theory. Used potential’s principle of superimposition, conformal transformation and equivalent filtrational resistance, considered starting pressure gradient, established deliverability equation of horizontal well and branch well of low permeability reservoir. The equation was simple and it had more accuracy degree. The computational solution to horizontal well’s deliverability of low permeability reservoir showed the equation was much close to actual horizontal well and branch well’s deliverability of low permeability reservoir.
Derived deliverability computational method under the situation that different hole pattern was jointly developed by the combination of horizontal well, branch well and straight well in low permeability reservoirs. The influence of various factors is analyzed. The computational result of the formula showed that with the increase of starting pressure gradient, well network’s production of horizontal well and branch well decreased; with the increase of penetrated ratio, starting pressure gradient’s degree of influence on different hole pattern of horizontal well and branch well decreased.
Established non-stabilized flow mathematical model of horizontal well of low permeability reservoir, drew effective drive factor which included such as parameters: starting pressure gradient, pressure and radius and so on. From effective drive factor, starting pressure gradient and so on angles, we analyzed affecting factor on horizontal well’s production. The result showed that with the increase of starting pressure gradient, horizontal well’s production was gradually reducing; with the increase of effective drive factor, horizontal well’s production gradually increase.
The flow theory of oil-gas two-phase of horizontal well in low permeability reservoir was studied, established mathematical model oil-gas two-phase flow. By the calculation and analysis of analysis example, when BHFP was same, the smaller starting pressure gradient was, the higher the production was. We should decrease starting pressure gradient’s influence for low permeability reservoir as far as possible.
Horizontal well’s inflow-out performance of low permeability reservoir was studied, selected bottom of a well as a node, horizontal well’s reasonable production was given under different starting pressure gradient. This theory had some reference value for choosing reasonable working system and reasonable output of low permeability reservoir’s development with application horizontal well on oil field.
This paper’s fruit focused on theory research about developed low permeability reservoir with horizontal well, especially deliverability calculation method was given. The method was developed by the combination of branch horizontal well and vertical well in low permeability reservoir. It has provided a new theory basis for low permeability reservoir’s s development, at the same time, it has expanded theories and methods of horizontal well production forecast.
研究了低渗透油藏不同边界条件下水平井单井开发渗流理论及分支井开发渗流理论,利用势的叠加原理、保角变换和等值渗流阻力法,考虑启动压力梯度,建立起低渗透油藏水平井及分支井产能计算方程,公式简单,并具有较高精度。对低渗透油藏水平井产能的计算结果表明,它更接近实际低渗透油藏水平井及分支井产能。
推导出低渗透油藏水平井及分支井与直井联合开发不同井网布井方式时产能计算方法,分析了各种因素的影响,利用该公式计算表明,随着启动压力梯度的增大,水平井、分支井井网产能减小,启动压力梯度对水平井及分支井不同井网产能影响程度随着穿透比的增大而减小。
建立了低渗透油藏水平井不稳定渗流的数学模型,引入了含有启动压力梯度,压力和半径等参数的有效驱动因子,从有效驱动因子、启动压力梯度等方面分析了水平井产能的影响因素,结果表明,随着启动压力梯度的增大,水平井产量逐渐减小,随着有效驱动因子的增大,水平井产量逐渐增大。
研究了低渗透油藏水平井油气两相渗流理论,建立了低渗透油藏水平井油气两相渗流数学模型,实例的计算分析表明,相同井底流压时,启动压力梯度越小,产量越大,对于低渗透油藏应尽量减小启动压力梯度的影响。
研究了低渗透油藏水平井流入流出动态,选取井底作为节点,给出不同启动压力梯度时低渗透油藏水平井合理产量,该理论为现场应用水平井开发低渗透油藏合理产量、合理工作制度的选择具有一定的参考价值。本论文的研究成果着重于低渗透油藏用水平井开发的理论探讨,尤其给出了低渗透油藏分支水平井与直井联合开发的产能计算方法,为开发低渗透油藏提供了新的理论依据;同时也扩展了水平井产能预测的理论和方法。
Horizontal well’s technique of mining has become an important means of enhancing oil recovery, digging old oilfield and developing new oil fields. It was more widely used in developing and designing oil field. Especially for the low permeability reservoir, it’s hard to obtain good economic benefits with using normal vertical wells technique, but we can obtain some production capacity if we developed low permeability reservoir with horizontal wells. At present, the fruit of analysis and calculation to horizontal well’s production is more on research reservoir engineering. The research of filtration theory was very rare in domestic and foreign, which was that apply branch wells, horizontal wells combining vertical wells to develop low permeability reservoir. It is at initial stage and it is a new research theme for reservoir workers. In view of the feature that filtration law was not Darcy law and starting pressure gradient was ubiquitous presence in low permeability reservoir, adopted fundamental principle such as dynamic of fluids through porous media, reservoir engineering and so on, filtration theory was systematically studied, it was that low permeability reservoir was developed by the combination of horizontal well, branch well and straight well. Established deliverability equation under the situation that hole pattern was jointly developed by the combination of horizontal well, branch well and straight well, this article mainly made such cognizance and result as follows:
Single well development filtration theory of horizontal well in low permeability reservoir was studied under different boundary conditions and so did branch well development filtration theory. Used potential’s principle of superimposition, conformal transformation and equivalent filtrational resistance, considered starting pressure gradient, established deliverability equation of horizontal well and branch well of low permeability reservoir. The equation was simple and it had more accuracy degree. The computational solution to horizontal well’s deliverability of low permeability reservoir showed the equation was much close to actual horizontal well and branch well’s deliverability of low permeability reservoir.
Derived deliverability computational method under the situation that different hole pattern was jointly developed by the combination of horizontal well, branch well and straight well in low permeability reservoirs. The influence of various factors is analyzed. The computational result of the formula showed that with the increase of starting pressure gradient, well network’s production of horizontal well and branch well decreased; with the increase of penetrated ratio, starting pressure gradient’s degree of influence on different hole pattern of horizontal well and branch well decreased.
Established non-stabilized flow mathematical model of horizontal well of low permeability reservoir, drew effective drive factor which included such as parameters: starting pressure gradient, pressure and radius and so on. From effective drive factor, starting pressure gradient and so on angles, we analyzed affecting factor on horizontal well’s production. The result showed that with the increase of starting pressure gradient, horizontal well’s production was gradually reducing; with the increase of effective drive factor, horizontal well’s production gradually increase.
The flow theory of oil-gas two-phase of horizontal well in low permeability reservoir was studied, established mathematical model oil-gas two-phase flow. By the calculation and analysis of analysis example, when BHFP was same, the smaller starting pressure gradient was, the higher the production was. We should decrease starting pressure gradient’s influence for low permeability reservoir as far as possible.
Horizontal well’s inflow-out performance of low permeability reservoir was studied, selected bottom of a well as a node, horizontal well’s reasonable production was given under different starting pressure gradient. This theory had some reference value for choosing reasonable working system and reasonable output of low permeability reservoir’s development with application horizontal well on oil field.
This paper’s fruit focused on theory research about developed low permeability reservoir with horizontal well, especially deliverability calculation method was given. The method was developed by the combination of branch horizontal well and vertical well in low permeability reservoir. It has provided a new theory basis for low permeability reservoir’s s development, at the same time, it has expanded theories and methods of horizontal well production forecast.
引文
[1]罗英俊等译.水平井开采技术译文集上册[M].北京:石油工业出版社,1992.
[2]万仁溥主编.水平井开采技术[M].北京:石油工业出版社,1995.
[3]刘翔鹗,刘尚奇译.国外水平井技术应用论文集(上、下)[M].北京:石油工业出版社,2001.
[4]何鲁平,陈素珍,俞启泰.底水驱油藏水平井数值模拟研究[J].大庆石油地质与开发,1995,14(2):26~30.
[5] Joshi S.D..Cost/Benefits of Horizontal Wells.SPE 83621,2003.
[6]郭永存,卢德唐,曾清红,等.有启动压力梯度渗流的数学模型[J].中国科学技术大学学报,2005,35(40):492~498.
[7]许岱文,郑桂荣,等译.第二届国际SPE/CIM水平井技术会议论文集[M].北京:石油工业出版社,1999.
[8] Suzuk,K.,ET AL.Horizontal Well Test Analysis System.SPE 20613.
[9] Kuchuk,F.J..Pressure Behavior of Horizontal Wells in Multilayer Reservoirs with Crossflow.SPE 22731.
[10] Pedrosa.O.A.Jr.Pressure Transient Response in Stress-Sensitive Formation.SPE 15115,1986.
[11] Joshi,S.D..A Review of Horizontal Well and Drainhole Technology.SPE 16868.
[12] Giger,F.M.Reiss,L.H.and Jourdan,A.P..The Reservoir Engineering Aspect of Horizontal Drilling.SPE 13024.
[13] M.J.Economides et al.Performance of Stimulation of Horizontal Wells.World Oil, June,1989.
[14] M.J.Economides et al.Well Configurations in Anisotropic Reservoirs.SPE 27980.
[15] Muskat M..The Flow of Homogeneous Fluids Through Porous Media.I.W.Edwards, Inc.Michigan,1946.
[16] D.K.Babu and A.S.Odeh..Productivity of A Horizontal Well.SPE 18298.
[17] D.K.Babu and A.S.Odeh..Productivity of A Horizontal Well.SPE Reservoir engineering.November 1989.
[18] Odeh,A.S.and Babu,D.K..Transient Flow Behavior of Horizontal Wells,Pressure Drawdown and Buildup Analysis.SPE Formation Evaluation,March 1990.
[19] Goode,P.A.,et al.Pressure Drawdown and Buildup Analysis of Horizontal Wells in Anisotropic Media.SPE 14250.
[20]万仁溥,主编.中国不同类型油藏水平井开采技术[M].北京:石油工业出版社,1997.
[21]张英芝,杨铁军,王文昌,等著.特低渗透油藏开发技术研究[M].北京:石油工业出版社,2004.
[22]徐运亭,徐启,郭永贵,等著.低渗透油藏渗流机理研究及应用[M].北京:石油工业出版社,2006.
[23]夏惠芬,梅启太,李福军主编.低渗透油田开采工艺技术[M].北京:石油工业出版社,1996.
[24]王寿平.水平井渗流理论及其在油藏工程中的应用研究.博士学位论文.西南石油学院.2002.
[25]王晓东.水平井不定常渗流研究.博士学位论文.中国科学院渗流流体力学所博士学位论文.1998
[26] Carvatho,R.de S.,et al.Transient Pressure Behavior for Horizontal Wells in Naturally Fractured Reservoir.SPE 18302.
[27] Warren,J.E.,etal.The Behavoir of Naturally Fractured Reservoirs.SPEJ(Sept.1963):245-255.
[28] Aguilera,R.,et al.Transient Pressure Analysis of Horizontal Wells in an Isotropic Naturally Fractured Reservoirs.SPE 19002.
[29] Cheng, A.M. Inflow Performance Relationship for Solution Gas Drive Slanted Horizontal Wells,SPE 20720.
[30] Plahn,S.V. A Method for Predicting Horizontal Well Performance in solution Gas Drive Reservoirs,SPE 16201.
[31]宋付权,刘慈群.低渗透垂直补给油藏中水平井流态分析[J].石油勘探与开发,1998,25(4):35~37.
[32]宋付权,刘慈群,张盛宗.低渗透油藏中水平井的产能公式分析[J].大庆石油地质与开发,1999,18(3):33~35.
[33]宋付权,刘慈群.单一直线边界油藏中水平井渗流压力动态分析[J].石油勘探与开发,1997,24(4):47~50.
[34]宋付权,刘慈群.低渗油藏中含启动压力梯度水平井生产动态[J].西安石油学院学报,1999,14(3):11~14.
[35] Vo,D.T. ,et al.Coupling Pressure and Rate-Time Data in Performance Analysis of Horizontal Wells:Field Examples.SPE 26445.
[36] Lara,A.Q.,et al.Selective Tests in Horizontal Wells for a Better Reservoir.SPE 26447.
[37] S.D.Joshi.Horizontal Well Technology.Penn Well Publishing Company,Tulsa,1991.
[38] Joshi S.D..Augmentation of Well Productivity with Slant and Horizontal Wells.SPE,15375,1988.
[39] Renard G.et al.Formation Damage Effects on Horizontal-Wells Flow Efficiency.JPT,July 1991.
[40] Giger,F.M. Low-Permeability Reservoirs Development Using Horizontal Wells,SPE 16406.
[41] Giger,F.M. Horizontal Wells Production Techniques in Heterogeneous Reservoirs,SPE 13710.
[42]董世民,李宝生编著.水平井有杆抽油系统分析[M].北京:石油工业出版社,1996.
[43]赵立新,蒋明虎,赵雪峰,等.复杂结构水平井产能关系研究[J].中国石油大学学报(自然科学版),2006,30(3):77~80.
[44]王德民,葛家理,曲德斌.求解水平井和直井联合面积布井产量的等值渗流阻力法[J].石油勘探与开发,1995,22(3):69~71.
[45]曲德斌,葛家理,王德民,等.水平井开发基础理论-物理模型研究[J].石油学报,15(4):49~56.
[46]葛家理,王德民,曲德斌.水平井与直井联合面积布井的开发理论研究(二)[J].石油勘探与开发,1995,22(2):47~50.
[47]曲德斌,葛家理,王德民,等.水平井与直井联合面积布井的开发理论研究(一)[J].石油勘探与开发,1995,22(1):35~38.
[48]赵春森,翟云芳,曹乐陶,等.水平井五点法矩形井网的产能计算及其优化[J].大庆石油学院学报,2000,24(3):23~25.
[49]周全兴.现代水平井采油技术[M].北京:石油工业出版社,1997.
[50]程林松,张健琦,李春兰.水平井井网整体开发产能研究[J].石油钻采工艺,2002,24(2):39~41.
[51]武兵广,姚军,吕爱民.水平井与垂直井联合井网波及系数研究[J].石油学报,2006,27(4):85~88.
[52]姚约东,葛家理,何顺利,等.水平井与直井联合面积布井水驱油的渗流阻力研究[J].油气采收率技术,1999,6(4):72~76.
[53]姚约东,葛家理,何顺利,等.水平井五点井网产能计算研究[J].石油大学学报(自然科学版),1999,23(3):41~43.
[54]范子菲,林志芳.底水驱油藏水平井井网产能公式[J].石油学报,1995,16(3):62~68 .
[55]窦宏恩.水平井与分支水平井产能计算的几个问题[J].石油钻采工艺,1999,21(6):56~59 .
[56]王卫红,李璗.分支水平井产能研究[J] .石油钻采工艺,1997,19(4):53~57.
[57]程林松,李春兰,郎兆新,等.分支水平井产能的研究[J].石油学报,1995,16(2):49~55.
[58]李璗,王卫红,苏彦春.分支水平井产能的计算[J].石油学报,1998,19(3):89~92.
[59] Goode,P.A. Inflow Performance of Horizontal Wells,SPE 21460.
[60] Thomas,L.K. Horizontal Well IPR Calculations, SPE 36753.
[61]刘慈群.水平井的产能及试井分析[J].油气井测试,1995,4(1):45~49.
[62] Malekzadeh,D.,et al.Interference Testing of Horizontal Wells.SPE 22733.
[63] Malekzadeh,D.,et al.Deviation of Horizontal Wells Interference Testing From the Exponential Integral Solution.SPE 24372.
[64] Odeh,Azta S.,et al.Transient Flow Behavior of Horizontal Wells Pressure Drawdown and Buildup Analysis.SPE 18802.
[65] Thompson,L.G.,et al.Efficient Algorithmes for Computing the Bounded Reservoir Horizontal Well Pressure Response.SPE 21827.
[66] Issaka,M.B.,et al.Drowdown and Buildup Pressure Derivative Analysia for Horizontal Wells.SPE 24323.
[67] Dukui Fu,et al.Analysis of Transient Pressure Response of Horizontal Wells in Bounded Reservoirs Using Dervitative Approach.SPE 25021.
[68]崔迪生,徐建平,赵平起,等编著.拉普拉斯变换与试井分析[M] .北京:石油工业出版社,2002.
[69] Daviau.G.,et al.Pressure Analysis for Horizontal Wells.SPE 14251.
[70] Clonts,M.D.,et al.Pressure Transient Analysis for Well With Horizontal Drain-holes.SPE 15116.
[71] Ozkan,E.,et al.Horizonal Well Pressure Analysis.SPE 16378.
[72] Shah,P.C.,et al.A Field Application of the Methodology For Interpretation of Horizontal Well Transient Tests.SPE 20611.
[73]吕劲.水平井稳态产油量解析公式及讨论[J].石油勘探与开发,1994,20(增刊):135~140.
[74]王晓东.箱式封闭油藏中水平井压力分析[J].应用数学与力学,1998,19(4):291~295.
[75]王晓东,刘慈群.水平井产量递减曲线及其应用方法[J].石油勘探与开发,1996,23(4):54~57.
[76]刘慈群,王晓东.水驱油藏水平井极限产量[J].石油学报,1933,14(3).
[77]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,1998,26(6):36~39.
[78]邓英尔,刘慈群.水平井两相非达西椭球渗流特征线解与差分解[J].西南石油学院学报,1999,21(40:30~34.
[79]邓英尔,刘慈群.水平井两相椭球渗流特征线解与差分解及开发指标计算方法[J].石油勘探与开发,1999,26(3):45~48.
[80]邓英尔,刘慈群.两相流体椭圆渗流数学模拟与开发计算方法[J].石油学报,1999,20(5):48~53.
[81]翟云芳,主编.渗流力学[M].北京:石油工业出版社,2003.
[82]葛家理.油气藏渗流力学[M].北京:石油工业出版社,1982.
[83] Vogel J V . Inflow Performance Relationships for Solution-Gas Drive Wells [J].JPT1986.83-92.
[84] Fetkovich M J.The Isochronal Testing of Oil Wells[J].SPE,4529,1973.
[85] Wiggins M L,Russell J E,Jennings J W .Analytical Development of Vogel-Type Inflow Performance Relationships[J].SPE 23580,1992.
[86] Cheng A M.Inflow Performance Relationships for Solution-Gas Drive Slant/Horizontal Wells In:Paper SPE 20720 Prensented at the 65th Annual Technical Conformance and Exhibition of the Society of Petroleum Engineers,New Orleans,LA,Sept.23-26,1990.
[87] Bendakhlia H and Aziz K.Inflow Performance Relationships for Solution-Gas Drive Horzontal Wells.In:Paper SPE 19823 Presented at the 1989 SPE Annual Technical Conference and Exhibition,San Antonio,TX,Oct.8-11.
[88] Shedid A.Elgaghah et al..A Simple Productivity Equation for Horizontal Wells Based on Drainage Area Concept.SPE 35713.
[89]班景昌,等译.水平井工艺技术[M].北京:石油工业出版社,1998.
[90]刘想平,蒋志祥,刘祥鹗,等.溶解气驱油藏水平井无因次IPR曲线的新相关式及其应用[J].中国海上油气(地质),2000,14(1):61~67.
[91]曾祥林,何冠军,孙福街,等.新型溶解气驱油藏水平井IPR曲线研究[J].特种油气藏,2005,12(4):47~49.
[92]黄炳光,李顺初,周荣辉.IPR曲线在水平井动态分析中的应用[J].石油勘探与开发,1995,22(5):56~58.
[93]陈家琅,编.石油气液两相管流[M].北京:石油工业出版社,1989.
[94]宋付权,刘慈群.含启动压力梯度油藏的两相渗流分析[J].石油大学学报(自然科学版),1999,23(3):47~56.
[95]刘顺,胥元刚,魏红玫.低渗油藏油气两相渗流的理论模型[J].西安石油大学学报(自然科学版),2004,19(6):20~22.
[96]刘顺,胥元刚.低渗透油藏油井流入动态研究[J].石油学报,2005,26(4):76~80.
[97]陈德春,海会荣,张仲平,等.水平井油气水三相流入动态研究[J].油气地质与采收率,2006,13(3):50~52.
[98]郑祥克,陶永建,涂彬,等.利用IPR方法确定启动压力[J].石油学报,2003,24(2):80~82.
[99]程林松,张健琦,李忠兴,等.低渗透水平气井流入动态研究[J].石油学报,2002,23(4):75~79.
[100]宋付权,刘慈群,张慧生.低渗透油藏中水平井两相渗流分析[J].水动力学研究与进展,2002,17(2):181~188.
[101]邓英尔,刘慈群.两相流体非线性渗流模型及其应用[J].应用数学和力学,2003,24(10):1049~1055.
[102]黄延章,编著.低渗透油层渗流机理[M].北京:石油工业出版社,1998.
[103]何海峰,张公社,符翔等.用节点法计算鱼骨形分支井产能[J].中国海上油气,2004,16(4):263~265.
[104]郑俊德,魏兆胜,徐慎荣,等.节点系统分析技术在水平井中的应用[J].石油学报,1997,18(3):134~128.
[105]郑祥克,陶永建,门承全,等.低速非达西渗流产能方程的建立[J].新疆石油地质,2003,24(2):158~160.
[106]陈涛平,胡靖邦主编.石油工程[M].北京:石油工业出版社,2000.
[107]王德有,等编著.油气井节点分析实例[M].北京:石油工业出版社,1991.
[108]郑俊德,陈会军.注聚井节点系统分析方法及其应用[J].钻采工艺,2001,24(1):23~26.
[109]刘东升,主编.聚合物驱注采井节点系统分析方法及其应用[M].北京:石油工业出版社,2001.
[110] Deswann,A..Analytic Solutions for Determining Naturally Fractured Reservior Properties by Well Testing.SPE J(June):117-122.
[111] Dukui.Fu,et al.Transient Pressure Response of Horizontal Wells in analysed and Naturally Fractured Reservoirs With Dual-Porosity Behavoir.SPE 24682.
[112] Kamal,M.M.,et al.Pressure-Transient Analysis for a Well With Multiple Horizontal Sections.SPE 26444.
[113] Willians,F.T.,et al.Pressure Transient Analysis of Horizontal Well in Naturally Fractured Reservoir.SPE 20612.
[114] Kuskra,V.A.,et al.Geologic and Reservoir Mechanisms Controlling Gas Recovery From the Antrim Shale.SPE 24883.
[115] Ohaeri,C.U.,et al.Practical Solution for Interactive Horizontal WellTest Analysis.SPE 22729.
[116] Thompson,L.G.,et al.Automatic Type-Curve Matching for Horizontal Wells.SPE 25507.
[2]万仁溥主编.水平井开采技术[M].北京:石油工业出版社,1995.
[3]刘翔鹗,刘尚奇译.国外水平井技术应用论文集(上、下)[M].北京:石油工业出版社,2001.
[4]何鲁平,陈素珍,俞启泰.底水驱油藏水平井数值模拟研究[J].大庆石油地质与开发,1995,14(2):26~30.
[5] Joshi S.D..Cost/Benefits of Horizontal Wells.SPE 83621,2003.
[6]郭永存,卢德唐,曾清红,等.有启动压力梯度渗流的数学模型[J].中国科学技术大学学报,2005,35(40):492~498.
[7]许岱文,郑桂荣,等译.第二届国际SPE/CIM水平井技术会议论文集[M].北京:石油工业出版社,1999.
[8] Suzuk,K.,ET AL.Horizontal Well Test Analysis System.SPE 20613.
[9] Kuchuk,F.J..Pressure Behavior of Horizontal Wells in Multilayer Reservoirs with Crossflow.SPE 22731.
[10] Pedrosa.O.A.Jr.Pressure Transient Response in Stress-Sensitive Formation.SPE 15115,1986.
[11] Joshi,S.D..A Review of Horizontal Well and Drainhole Technology.SPE 16868.
[12] Giger,F.M.Reiss,L.H.and Jourdan,A.P..The Reservoir Engineering Aspect of Horizontal Drilling.SPE 13024.
[13] M.J.Economides et al.Performance of Stimulation of Horizontal Wells.World Oil, June,1989.
[14] M.J.Economides et al.Well Configurations in Anisotropic Reservoirs.SPE 27980.
[15] Muskat M..The Flow of Homogeneous Fluids Through Porous Media.I.W.Edwards, Inc.Michigan,1946.
[16] D.K.Babu and A.S.Odeh..Productivity of A Horizontal Well.SPE 18298.
[17] D.K.Babu and A.S.Odeh..Productivity of A Horizontal Well.SPE Reservoir engineering.November 1989.
[18] Odeh,A.S.and Babu,D.K..Transient Flow Behavior of Horizontal Wells,Pressure Drawdown and Buildup Analysis.SPE Formation Evaluation,March 1990.
[19] Goode,P.A.,et al.Pressure Drawdown and Buildup Analysis of Horizontal Wells in Anisotropic Media.SPE 14250.
[20]万仁溥,主编.中国不同类型油藏水平井开采技术[M].北京:石油工业出版社,1997.
[21]张英芝,杨铁军,王文昌,等著.特低渗透油藏开发技术研究[M].北京:石油工业出版社,2004.
[22]徐运亭,徐启,郭永贵,等著.低渗透油藏渗流机理研究及应用[M].北京:石油工业出版社,2006.
[23]夏惠芬,梅启太,李福军主编.低渗透油田开采工艺技术[M].北京:石油工业出版社,1996.
[24]王寿平.水平井渗流理论及其在油藏工程中的应用研究.博士学位论文.西南石油学院.2002.
[25]王晓东.水平井不定常渗流研究.博士学位论文.中国科学院渗流流体力学所博士学位论文.1998
[26] Carvatho,R.de S.,et al.Transient Pressure Behavior for Horizontal Wells in Naturally Fractured Reservoir.SPE 18302.
[27] Warren,J.E.,etal.The Behavoir of Naturally Fractured Reservoirs.SPEJ(Sept.1963):245-255.
[28] Aguilera,R.,et al.Transient Pressure Analysis of Horizontal Wells in an Isotropic Naturally Fractured Reservoirs.SPE 19002.
[29] Cheng, A.M. Inflow Performance Relationship for Solution Gas Drive Slanted Horizontal Wells,SPE 20720.
[30] Plahn,S.V. A Method for Predicting Horizontal Well Performance in solution Gas Drive Reservoirs,SPE 16201.
[31]宋付权,刘慈群.低渗透垂直补给油藏中水平井流态分析[J].石油勘探与开发,1998,25(4):35~37.
[32]宋付权,刘慈群,张盛宗.低渗透油藏中水平井的产能公式分析[J].大庆石油地质与开发,1999,18(3):33~35.
[33]宋付权,刘慈群.单一直线边界油藏中水平井渗流压力动态分析[J].石油勘探与开发,1997,24(4):47~50.
[34]宋付权,刘慈群.低渗油藏中含启动压力梯度水平井生产动态[J].西安石油学院学报,1999,14(3):11~14.
[35] Vo,D.T. ,et al.Coupling Pressure and Rate-Time Data in Performance Analysis of Horizontal Wells:Field Examples.SPE 26445.
[36] Lara,A.Q.,et al.Selective Tests in Horizontal Wells for a Better Reservoir.SPE 26447.
[37] S.D.Joshi.Horizontal Well Technology.Penn Well Publishing Company,Tulsa,1991.
[38] Joshi S.D..Augmentation of Well Productivity with Slant and Horizontal Wells.SPE,15375,1988.
[39] Renard G.et al.Formation Damage Effects on Horizontal-Wells Flow Efficiency.JPT,July 1991.
[40] Giger,F.M. Low-Permeability Reservoirs Development Using Horizontal Wells,SPE 16406.
[41] Giger,F.M. Horizontal Wells Production Techniques in Heterogeneous Reservoirs,SPE 13710.
[42]董世民,李宝生编著.水平井有杆抽油系统分析[M].北京:石油工业出版社,1996.
[43]赵立新,蒋明虎,赵雪峰,等.复杂结构水平井产能关系研究[J].中国石油大学学报(自然科学版),2006,30(3):77~80.
[44]王德民,葛家理,曲德斌.求解水平井和直井联合面积布井产量的等值渗流阻力法[J].石油勘探与开发,1995,22(3):69~71.
[45]曲德斌,葛家理,王德民,等.水平井开发基础理论-物理模型研究[J].石油学报,15(4):49~56.
[46]葛家理,王德民,曲德斌.水平井与直井联合面积布井的开发理论研究(二)[J].石油勘探与开发,1995,22(2):47~50.
[47]曲德斌,葛家理,王德民,等.水平井与直井联合面积布井的开发理论研究(一)[J].石油勘探与开发,1995,22(1):35~38.
[48]赵春森,翟云芳,曹乐陶,等.水平井五点法矩形井网的产能计算及其优化[J].大庆石油学院学报,2000,24(3):23~25.
[49]周全兴.现代水平井采油技术[M].北京:石油工业出版社,1997.
[50]程林松,张健琦,李春兰.水平井井网整体开发产能研究[J].石油钻采工艺,2002,24(2):39~41.
[51]武兵广,姚军,吕爱民.水平井与垂直井联合井网波及系数研究[J].石油学报,2006,27(4):85~88.
[52]姚约东,葛家理,何顺利,等.水平井与直井联合面积布井水驱油的渗流阻力研究[J].油气采收率技术,1999,6(4):72~76.
[53]姚约东,葛家理,何顺利,等.水平井五点井网产能计算研究[J].石油大学学报(自然科学版),1999,23(3):41~43.
[54]范子菲,林志芳.底水驱油藏水平井井网产能公式[J].石油学报,1995,16(3):62~68 .
[55]窦宏恩.水平井与分支水平井产能计算的几个问题[J].石油钻采工艺,1999,21(6):56~59 .
[56]王卫红,李璗.分支水平井产能研究[J] .石油钻采工艺,1997,19(4):53~57.
[57]程林松,李春兰,郎兆新,等.分支水平井产能的研究[J].石油学报,1995,16(2):49~55.
[58]李璗,王卫红,苏彦春.分支水平井产能的计算[J].石油学报,1998,19(3):89~92.
[59] Goode,P.A. Inflow Performance of Horizontal Wells,SPE 21460.
[60] Thomas,L.K. Horizontal Well IPR Calculations, SPE 36753.
[61]刘慈群.水平井的产能及试井分析[J].油气井测试,1995,4(1):45~49.
[62] Malekzadeh,D.,et al.Interference Testing of Horizontal Wells.SPE 22733.
[63] Malekzadeh,D.,et al.Deviation of Horizontal Wells Interference Testing From the Exponential Integral Solution.SPE 24372.
[64] Odeh,Azta S.,et al.Transient Flow Behavior of Horizontal Wells Pressure Drawdown and Buildup Analysis.SPE 18802.
[65] Thompson,L.G.,et al.Efficient Algorithmes for Computing the Bounded Reservoir Horizontal Well Pressure Response.SPE 21827.
[66] Issaka,M.B.,et al.Drowdown and Buildup Pressure Derivative Analysia for Horizontal Wells.SPE 24323.
[67] Dukui Fu,et al.Analysis of Transient Pressure Response of Horizontal Wells in Bounded Reservoirs Using Dervitative Approach.SPE 25021.
[68]崔迪生,徐建平,赵平起,等编著.拉普拉斯变换与试井分析[M] .北京:石油工业出版社,2002.
[69] Daviau.G.,et al.Pressure Analysis for Horizontal Wells.SPE 14251.
[70] Clonts,M.D.,et al.Pressure Transient Analysis for Well With Horizontal Drain-holes.SPE 15116.
[71] Ozkan,E.,et al.Horizonal Well Pressure Analysis.SPE 16378.
[72] Shah,P.C.,et al.A Field Application of the Methodology For Interpretation of Horizontal Well Transient Tests.SPE 20611.
[73]吕劲.水平井稳态产油量解析公式及讨论[J].石油勘探与开发,1994,20(增刊):135~140.
[74]王晓东.箱式封闭油藏中水平井压力分析[J].应用数学与力学,1998,19(4):291~295.
[75]王晓东,刘慈群.水平井产量递减曲线及其应用方法[J].石油勘探与开发,1996,23(4):54~57.
[76]刘慈群,王晓东.水驱油藏水平井极限产量[J].石油学报,1933,14(3).
[77]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,1998,26(6):36~39.
[78]邓英尔,刘慈群.水平井两相非达西椭球渗流特征线解与差分解[J].西南石油学院学报,1999,21(40:30~34.
[79]邓英尔,刘慈群.水平井两相椭球渗流特征线解与差分解及开发指标计算方法[J].石油勘探与开发,1999,26(3):45~48.
[80]邓英尔,刘慈群.两相流体椭圆渗流数学模拟与开发计算方法[J].石油学报,1999,20(5):48~53.
[81]翟云芳,主编.渗流力学[M].北京:石油工业出版社,2003.
[82]葛家理.油气藏渗流力学[M].北京:石油工业出版社,1982.
[83] Vogel J V . Inflow Performance Relationships for Solution-Gas Drive Wells [J].JPT1986.83-92.
[84] Fetkovich M J.The Isochronal Testing of Oil Wells[J].SPE,4529,1973.
[85] Wiggins M L,Russell J E,Jennings J W .Analytical Development of Vogel-Type Inflow Performance Relationships[J].SPE 23580,1992.
[86] Cheng A M.Inflow Performance Relationships for Solution-Gas Drive Slant/Horizontal Wells In:Paper SPE 20720 Prensented at the 65th Annual Technical Conformance and Exhibition of the Society of Petroleum Engineers,New Orleans,LA,Sept.23-26,1990.
[87] Bendakhlia H and Aziz K.Inflow Performance Relationships for Solution-Gas Drive Horzontal Wells.In:Paper SPE 19823 Presented at the 1989 SPE Annual Technical Conference and Exhibition,San Antonio,TX,Oct.8-11.
[88] Shedid A.Elgaghah et al..A Simple Productivity Equation for Horizontal Wells Based on Drainage Area Concept.SPE 35713.
[89]班景昌,等译.水平井工艺技术[M].北京:石油工业出版社,1998.
[90]刘想平,蒋志祥,刘祥鹗,等.溶解气驱油藏水平井无因次IPR曲线的新相关式及其应用[J].中国海上油气(地质),2000,14(1):61~67.
[91]曾祥林,何冠军,孙福街,等.新型溶解气驱油藏水平井IPR曲线研究[J].特种油气藏,2005,12(4):47~49.
[92]黄炳光,李顺初,周荣辉.IPR曲线在水平井动态分析中的应用[J].石油勘探与开发,1995,22(5):56~58.
[93]陈家琅,编.石油气液两相管流[M].北京:石油工业出版社,1989.
[94]宋付权,刘慈群.含启动压力梯度油藏的两相渗流分析[J].石油大学学报(自然科学版),1999,23(3):47~56.
[95]刘顺,胥元刚,魏红玫.低渗油藏油气两相渗流的理论模型[J].西安石油大学学报(自然科学版),2004,19(6):20~22.
[96]刘顺,胥元刚.低渗透油藏油井流入动态研究[J].石油学报,2005,26(4):76~80.
[97]陈德春,海会荣,张仲平,等.水平井油气水三相流入动态研究[J].油气地质与采收率,2006,13(3):50~52.
[98]郑祥克,陶永建,涂彬,等.利用IPR方法确定启动压力[J].石油学报,2003,24(2):80~82.
[99]程林松,张健琦,李忠兴,等.低渗透水平气井流入动态研究[J].石油学报,2002,23(4):75~79.
[100]宋付权,刘慈群,张慧生.低渗透油藏中水平井两相渗流分析[J].水动力学研究与进展,2002,17(2):181~188.
[101]邓英尔,刘慈群.两相流体非线性渗流模型及其应用[J].应用数学和力学,2003,24(10):1049~1055.
[102]黄延章,编著.低渗透油层渗流机理[M].北京:石油工业出版社,1998.
[103]何海峰,张公社,符翔等.用节点法计算鱼骨形分支井产能[J].中国海上油气,2004,16(4):263~265.
[104]郑俊德,魏兆胜,徐慎荣,等.节点系统分析技术在水平井中的应用[J].石油学报,1997,18(3):134~128.
[105]郑祥克,陶永建,门承全,等.低速非达西渗流产能方程的建立[J].新疆石油地质,2003,24(2):158~160.
[106]陈涛平,胡靖邦主编.石油工程[M].北京:石油工业出版社,2000.
[107]王德有,等编著.油气井节点分析实例[M].北京:石油工业出版社,1991.
[108]郑俊德,陈会军.注聚井节点系统分析方法及其应用[J].钻采工艺,2001,24(1):23~26.
[109]刘东升,主编.聚合物驱注采井节点系统分析方法及其应用[M].北京:石油工业出版社,2001.
[110] Deswann,A..Analytic Solutions for Determining Naturally Fractured Reservior Properties by Well Testing.SPE J(June):117-122.
[111] Dukui.Fu,et al.Transient Pressure Response of Horizontal Wells in analysed and Naturally Fractured Reservoirs With Dual-Porosity Behavoir.SPE 24682.
[112] Kamal,M.M.,et al.Pressure-Transient Analysis for a Well With Multiple Horizontal Sections.SPE 26444.
[113] Willians,F.T.,et al.Pressure Transient Analysis of Horizontal Well in Naturally Fractured Reservoir.SPE 20612.
[114] Kuskra,V.A.,et al.Geologic and Reservoir Mechanisms Controlling Gas Recovery From the Antrim Shale.SPE 24883.
[115] Ohaeri,C.U.,et al.Practical Solution for Interactive Horizontal WellTest Analysis.SPE 22729.
[116] Thompson,L.G.,et al.Automatic Type-Curve Matching for Horizontal Wells.SPE 25507.