王建俊;鞠斌山;罗二辉;

• 1:中国地质大学(北京)能源学院

• 2:中国石油勘探开发研究院

摘要(Abstract)：

低渗透油藏非达西渗流动边界的产生归因于启动压力梯度。在考虑动边界的基础上,建立包含表皮效应和井筒存储的单一、以Warren-Root模型为基础的双重和三重介质低速非达西渗流数学模型;并通过定义无量纲压力得到模型的Laplace解,利用Stehfest数值反演获得动边界的传播规律,对比动边界与无限大、封闭及定压等三类外边界条件下的压力及压力导数分布特征。结果表明:对于低速非达西渗流,启动压力梯度越大,动边界向外传播越慢;在双重介质和三重介质中,动边界移动出现短暂的停滞,曲线上表现为水平段或平缓段;动边界主要影响压力及压力导数曲线的中后期,而无限大、封闭及定压等三类外边界主要影响曲线的后期形态。

关键词(KeyWords)：非达西渗流;启动压力梯度;动边界;单一介质;双重介质;三重介质

Abstract:

Keywords:

基金项目(Foundation):国家科技重大专项(2011ZX05016-006);; 中央高校基本科研业务费专项资金项目(35832015034)

作者(Author):王建俊;鞠斌山;罗二辉;

Email:

参考文献(References)：

• [1]冯文光,葛家理.单一介质、双重介质中非定常非达西低速渗流问题[J].石油勘探与开发,1985,12(1):56-62.Feng Wenguang,Ge Jiali.The unsteady non-Darcy flow in single-porosity and dual-porosity porous media[J].Petroleum Exploration and Development,1985,12(1):56-62.

• [2]谢海澜,武强,赵增敏,等.考虑非达西流的弱透水层固结计算[J].岩土力学,2007,28(5):1061-1065.Xie Hailan,Wu Qiang,Zhao Zengmin,et al.Consolidation computation of aquitard considering non-Darcy flow[J].Rock and Soil Mechnics,2007,28(5):1061-1065.

• [3]李凡华,刘慈群.含启动压力梯度的不定常渗流的压力动态分析[J].油气井测试,1997,6(1):1-4.Li Fanhua,Liu Ciqun.Pressure tansient analysis for unsteady porous flow with start-up pressuere derivative[J].Well Testing,1997,6(1):1-4.

• [4]贾振岐,王延峰,付俊林,等.低渗低速下非达西渗流特征及影响因素[J].大庆石油学院学报,2001,25(3):73-76.Jia Zhenqi,Wang Yanfeng,Fu Junlin,et al.Characteristics of non-Darcy percolation and under the condition of low-permeability and low-velocity[J].Journal of Daqing Petrpleum Institute,2001,25(3):73-76.

• [5]程时清,张盛宗,黄延章,等.低速非达西渗流动边界问题的积分解[J].力学与实践,2002,24(3):15-17.Cheng Shiqing,Zhang Shengzong,Huang Yanzhang,et al.An integral solution of free-boundary problem of non-Darcy flow behavior[J].Mechanics and Engineering,2002,24(3):15-17.

• [6]闫栋栋,杨满平,王刚,等.低流度油藏启动压力梯度分析[J].大庆石油学院学报,2010,34(1):39-42.Yan Dongdong,Yang Manping,Wang Gang,et al.Threshold pressuere gradient analysis for low mobility reservoir[J].Journal of Daqing Petrpleum Institute,2010,34(1):39-42.

• [7]计秉玉,何应付.基于低速非达西渗流的单井压力分布特征[J].石油学报,2011,32(3):466-469.Ji Bingyu,He Yingfu.Formation pressure distribution of a single well based on low velocity non-Darcy flow[J].Acta Petrolei Sinica,2011,32(3):466-469.

• [8]王晓冬,侯晓春,郝明强,等.低渗透介质有启动压力梯度的不稳定压力分析[J].石油学报,2011,32(5):847-851.Wang Xiaodong,Hong Xiaochun,Hao Mingqiang,et al.Pressure transient analysis in low-permeability media with threshold gradients[J].Acta Petrolei Sinica,2011,32(5):847-851.

• [9]王军磊,周明旺,罗二辉,等.低渗透油藏七点井网的有效动用程度[J].东北石油大学学报,2013,37(2):102-106.Wang Junlei,Zhou Mingwang,Luo Erhui,et al.Effective development degree for seven-spot well patterns in low permeability reservoirs[J].Journal of Northeast Petroleum University,2013,37(2):102-106.

• [10]姜瑞忠,于成超,孔垂显,等.低渗透油藏优势渗流通道模型的建立及应用[J].特种油气藏,2014,21(5):85-88.Jiang Ruizhong,Yu Chengchao,Kong Chuixian,et al.Establishment and application of dominant seepage path model of low-permeability oil reservoirs[J].Special Oil&Gas Reservoirs,2014,21(5):85-88.

• [11]罗二辉,王晓冬.双重低渗介质含启动压力梯度不定常渗流研究[J].中国海上油气,2011,23(5):318-321.Luo Erhui,Wang Xiaodong.A study on transient flow under threshold pressure gradient in dual-pore media with low permeability[J].China Offshore Oil and Gas,2011,23(5):318-321.

• [12]程林松,任胜利,廉培庆.动边界双重介质油藏低速非达西渗流试井模型[J].计算力学学报,2011,28(6):879-883.Cheng Linsong,Ren Shengli,Lian Peiqing.Well test analysis on low velocity and non-Darcy flow in dual-porosity reservoir with dynamic boundary[J].Chinese Journal of Computational Mechanics,2011,28(6):879-883.

• [13]Xu Jianchun,Jiang Ruizhong,Xie Lisha,et al.Transient pressure behavior for dual porosity low permeability reservoir based on modified Darcy's equation[C].SPE 153480,2012.

• [14]罗二辉,胡永乐.三重介质低渗油藏非达西非稳态渗流研究[J].中国矿业大学学报,2013,42(1):100-104.Luo Erhui,Hu Yongle.A study of non-Darcy transient flow in triple porosity media with low permeability reservoir[J].Journal of China University of Mining Technology,2013,42(1):100-104.

• [15]Warren J E,Root P J.The behavior of naturally fractured reservoirs[J].SPE Journal,1963,3(3):245-255.

• [16]Abdassah D,Ershaghi I.Triple-porosity systems for representing naturally fractured reservoirs[J].SPE Formation Evaluation,1986,1(2):113-127.