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裂缝-孔隙型双重介质油藏渗吸机理的分形分析

蔡建超 郭士礼 游利军 胡祥云

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裂缝-孔隙型双重介质油藏渗吸机理的分形分析

蔡建超, 郭士礼, 游利军, 胡祥云

Fractal analysis of spontaneous imbibition mechanism in fractured-porous dual media reservoir

Cai Jian-Chao, Guo Shi-Li, You Li-Jun, Hu Xiang-Yun
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  • 低渗透油藏常常伴随裂缝发育, 形成裂缝-基质双重介质.自发渗吸是低渗裂缝性水驱油藏的重要采油机理, 有顺向和逆向两种渗吸方式. 基于基质孔隙结构的分形特征, 引入分形几何对裂缝性双重介质渗吸机理的判据进行了改进, 建立了渗吸机理的分形判据模型, 并进一步推导了结构常数的解析表达式.结果表明, 渗吸机理的判别参数是基质孔隙度、高度、孔隙分形维数、流动迂曲度、最大孔隙直径、界面张力、油水密度差以及接触角的函数. 改进后的判据模型与现有结果一致. 最后绘制了判别渗吸机理的图版, 为利用表面活性剂提高低渗透油藏采收率提供理论依据.
    Low permeability oil reservoirs are usually accompanied with fracture development, forming fracture-matrix dual porosity medium. Spontaneous imbibition is a crucially important recovery mechanism in naturally fractured reservoir with water deriving, in which non-wetting phase is displaced in either co-current or counter-current manner. In this work, the criterion (inverse bond number) and fractal model for spontaneous imbibition mechanism of dual-porosity medium are developed, and the analytical expression for structure constant is also derived based on the fractal characteristics of pores in porous matrix. The improved fractal model for inverse bond number can be expressed as a function of porosity, pore fractal dimension, flow tortuosity, maximum pore diameter, height of matrix, density difference between oil and water, interfacial tension and contact angle. The present model predictions are shown to be in agreement with the available results. The dominion for criterion of imbibition mechanism is plotted, which provides a theoretical basis of adding surfactant in water for enhancing oil recovery in low permeability reservoirs.
    • 基金项目: 国家重点基础研究发展计划(批准号: 2010CB226705)、 国家自然科学基金 (批准号: 41102080) 和西南石油大学油气藏地质及开发工程国家重点实验室 (批准号: PLN1117) 资助的课题.
    • Funds: Project supported by the National Basic Research Program of China (Grant No. 2010CB226705), the National Natural Science Foundation of China (Grant No. 41102080), and the Open Fund of State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation (Southwest Petroleum University), China (Grant No. PLN1117).
    [1]

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    [2]

    Pooladi-Darvish M, Firoozabadi A 2000 SPE J. 5 3

    [3]

    Liu W D, Yao T Y, Liu X G, Liu F H, Li J S 2007 Surfactant System Permeability Suction (Beijing: Petrdeum Industry Press) [刘卫东, 姚同玉, 刘先贵, 刘福海, 李继山 2007 表面活性剂体系渗吸 (北京: 石油工业出版社)]

    [4]

    You L J, Kang Y L 2009 Journal of Southwest Petroleum University 31 112 (in Chinese) [游利军, 康毅力 2009 西南石油大学学报 31 112]

    [5]

    Cai J C, Yu B M, Zou M Q, Luo L 2010 Energy Fuels 24 1860

    [6]

    Standnes D C 2010 Energy Fuels 24 2980

    [7]

    Cai J C, Yu B M 2011 Trans. Porous Media 89 251

    [8]

    Cai J C, You L J, Hu X Y, Wang J, Peng R H 2012 Int. J. Mod. Phys. C 23 1250054

    [9]

    Leverett M C 1941 Trans. AIME 142 152

    [10]

    Mattax C C, Kyte J R 1962 SPE J. 2 177

    [11]

    Li K W, Firoozabadi A 2000 SPE Res. Eval. Eng. 3 139

    [12]

    Schechter D S, Zhou D, Orr Jr F M 1994 J. Pet. Sci. Eng. 11 283

    [13]

    Yao T Y, Li J S, Wang J, Liu W D 2009 Journal of Jilin University 39 937 (in Chinese) [姚同玉, 李继山, 王建, 刘卫东 2009 吉林大学学报 39 937]

    [14]

    Standnes D C, Nogaret L A D, Chen H L, Austad T 2002 Energy Fuels 16 1557

    [15]

    Zhou D, Stenby E H 1989 in North Sea Oil and Gas Reservoirs-II, edited by A. T. Buller (Graham and Trotman, London) p271

    [16]

    Salehi M, Johnson S J, Liang J T 2008 Langmuir 24 14099

    [17]

    Mandelbrot B B 1982 The Fractal Geometry of Nature (W. H. Freeman, New York)

    [18]

    Katz A J, Thompson A H 1985 Phys. Rev. Lett. 54 1325

    [19]

    Smidt J M, Monro D M 1998 Fractals 6 401

    [20]

    Yu B M, Li J H 2001 Fractals 9 365

    [21]

    Feng Y J, Yu B M 2007 Fractals 15 385

    [22]

    Xiao B Q, Yu B M, Wang Z C, Chen L X 2009 Phys. Lett. A 373 4178

    [23]

    Zhang C B, Chen Y P, Shi M H, Fu P P, Wu J F 2009 Acta Phys. Sin. 58 7050 (in Chinese) [张程宾, 陈永平, 施明恒, 付盼盼, 吴嘉峰 2009 物理学报 58 7050]

    [24]

    Cai J C, Yu B M, Zou M Q, Mei M F 2010 Chin. Phys. Lett. 27 024705

    [25]

    Zheng K C, Wen Z, Wang Z S, Lou G F, Liu X L, Wu W F 2012 Acta Phys. Sin. 61 014401 (in Chinese) [郑坤灿, 温治, 王占胜, 楼国锋, 刘训良, 武文斐 2012 物理学报 61 014401]

    [26]

    Wang X H, Liu Z F, Wu Q S, Li B 2002 Physica A 311 320

    [27]

    Yu B M, Cheng P 2002 Int. J. Heat Mass Transfer 45 2983

    [28]

    Wu J S, Yu B M 2007 Int. J. Heat Mass Transfer 50 3925

    [29]

    Zhang L Z 2008 Int. J. Heat Mass Transfer 51 5288

    [30]

    Xiao B Q, Jiang G P, Chen L X 2010 Sci. China G: Phys. Mech. Astron. 53 30

    [31]

    Cai J C, Yu B M 2010 Fractals 18 417

    [32]

    Jiang X B, Hou B H, Wang J K, Yin Q X, Zhang M J 2011 Ind. Eng. Chem. Res. 50 10229

    [33]

    Zhang L Z 2011 Int. J. Heat Mass Transfer 54 2921

    [34]

    Xiao B Q, Fan J T, Ding F 2012 Energy Fuels 26 6971

    [35]

    Feng Y J, Yu B M, Zou M Q, Zhang D M 2004 J. Phys. D Appl. Phys. 37 3030

    [36]

    Xiao B Q, Wang Z C, Yu B M 2008 Fractals 16 1

    [37]

    Kou J L, Wu F M, Lu H J, Xu Y S, Song F Q 2009 Phys. Lett. A 374 62

    [38]

    Xiao B Q, Wang Z C, Jiang G P, Chen L X, Wei M J, Rao L Z 2009 Acta Phys. Sin. 58 2523 (in Chinese) [肖波齐, 王宗篪, 蒋国平, 陈玲霞, 魏茂金, 饶连周 2009 物理学报 58 2523]

    [39]

    Xiao B Q, Gao S H, Chen L X 2010 Fractals 18 409

    [40]

    Xiao B Q, Fan J T, Jiang G P, Chen L X 2012 Acta Phys. Sin. 61 154401 (in Chinese) [肖波齐, 范金土, 蒋国平, 陈玲霞 2012 物理学报 61 154401]

    [41]

    Cai J C, Yu B M, Zou M Q, Mei M F 2010 Chem. Eng. Sci. 65 5178

    [42]

    Yun M J, Yu B M, Cai J C 2009 Int. J. Heat Mass Transfer 52 3272

    [43]

    Cai J C, Hu X Y, Standnes D C, Yu L J 2012 Colloids Surf. A: Physicochem. Eng. Aspects 414 228

    [44]

    Comiti J, Renaud M 1989 Chem. Eng. Sci. 44 1539

    [45]

    Yun M J, Yu B M, Zhang B, Huang M T 2005 Chin. Phys. Lett. 22 1464

    [46]

    Yun M J, Yu B M, Xu P, Wu J S 2006 Can. J. Chem. Eng. 84 301

  • [1]

    Zhu W Y, Ju Y, Zhao M, Chen Q, Yang Z M 2002 Acta Petrolei Sin. 23 56 (in Chinese) [朱维耀, 鞠岩, 赵明, 陈权, 杨正明 2002 石油学报 23 56]

    [2]

    Pooladi-Darvish M, Firoozabadi A 2000 SPE J. 5 3

    [3]

    Liu W D, Yao T Y, Liu X G, Liu F H, Li J S 2007 Surfactant System Permeability Suction (Beijing: Petrdeum Industry Press) [刘卫东, 姚同玉, 刘先贵, 刘福海, 李继山 2007 表面活性剂体系渗吸 (北京: 石油工业出版社)]

    [4]

    You L J, Kang Y L 2009 Journal of Southwest Petroleum University 31 112 (in Chinese) [游利军, 康毅力 2009 西南石油大学学报 31 112]

    [5]

    Cai J C, Yu B M, Zou M Q, Luo L 2010 Energy Fuels 24 1860

    [6]

    Standnes D C 2010 Energy Fuels 24 2980

    [7]

    Cai J C, Yu B M 2011 Trans. Porous Media 89 251

    [8]

    Cai J C, You L J, Hu X Y, Wang J, Peng R H 2012 Int. J. Mod. Phys. C 23 1250054

    [9]

    Leverett M C 1941 Trans. AIME 142 152

    [10]

    Mattax C C, Kyte J R 1962 SPE J. 2 177

    [11]

    Li K W, Firoozabadi A 2000 SPE Res. Eval. Eng. 3 139

    [12]

    Schechter D S, Zhou D, Orr Jr F M 1994 J. Pet. Sci. Eng. 11 283

    [13]

    Yao T Y, Li J S, Wang J, Liu W D 2009 Journal of Jilin University 39 937 (in Chinese) [姚同玉, 李继山, 王建, 刘卫东 2009 吉林大学学报 39 937]

    [14]

    Standnes D C, Nogaret L A D, Chen H L, Austad T 2002 Energy Fuels 16 1557

    [15]

    Zhou D, Stenby E H 1989 in North Sea Oil and Gas Reservoirs-II, edited by A. T. Buller (Graham and Trotman, London) p271

    [16]

    Salehi M, Johnson S J, Liang J T 2008 Langmuir 24 14099

    [17]

    Mandelbrot B B 1982 The Fractal Geometry of Nature (W. H. Freeman, New York)

    [18]

    Katz A J, Thompson A H 1985 Phys. Rev. Lett. 54 1325

    [19]

    Smidt J M, Monro D M 1998 Fractals 6 401

    [20]

    Yu B M, Li J H 2001 Fractals 9 365

    [21]

    Feng Y J, Yu B M 2007 Fractals 15 385

    [22]

    Xiao B Q, Yu B M, Wang Z C, Chen L X 2009 Phys. Lett. A 373 4178

    [23]

    Zhang C B, Chen Y P, Shi M H, Fu P P, Wu J F 2009 Acta Phys. Sin. 58 7050 (in Chinese) [张程宾, 陈永平, 施明恒, 付盼盼, 吴嘉峰 2009 物理学报 58 7050]

    [24]

    Cai J C, Yu B M, Zou M Q, Mei M F 2010 Chin. Phys. Lett. 27 024705

    [25]

    Zheng K C, Wen Z, Wang Z S, Lou G F, Liu X L, Wu W F 2012 Acta Phys. Sin. 61 014401 (in Chinese) [郑坤灿, 温治, 王占胜, 楼国锋, 刘训良, 武文斐 2012 物理学报 61 014401]

    [26]

    Wang X H, Liu Z F, Wu Q S, Li B 2002 Physica A 311 320

    [27]

    Yu B M, Cheng P 2002 Int. J. Heat Mass Transfer 45 2983

    [28]

    Wu J S, Yu B M 2007 Int. J. Heat Mass Transfer 50 3925

    [29]

    Zhang L Z 2008 Int. J. Heat Mass Transfer 51 5288

    [30]

    Xiao B Q, Jiang G P, Chen L X 2010 Sci. China G: Phys. Mech. Astron. 53 30

    [31]

    Cai J C, Yu B M 2010 Fractals 18 417

    [32]

    Jiang X B, Hou B H, Wang J K, Yin Q X, Zhang M J 2011 Ind. Eng. Chem. Res. 50 10229

    [33]

    Zhang L Z 2011 Int. J. Heat Mass Transfer 54 2921

    [34]

    Xiao B Q, Fan J T, Ding F 2012 Energy Fuels 26 6971

    [35]

    Feng Y J, Yu B M, Zou M Q, Zhang D M 2004 J. Phys. D Appl. Phys. 37 3030

    [36]

    Xiao B Q, Wang Z C, Yu B M 2008 Fractals 16 1

    [37]

    Kou J L, Wu F M, Lu H J, Xu Y S, Song F Q 2009 Phys. Lett. A 374 62

    [38]

    Xiao B Q, Wang Z C, Jiang G P, Chen L X, Wei M J, Rao L Z 2009 Acta Phys. Sin. 58 2523 (in Chinese) [肖波齐, 王宗篪, 蒋国平, 陈玲霞, 魏茂金, 饶连周 2009 物理学报 58 2523]

    [39]

    Xiao B Q, Gao S H, Chen L X 2010 Fractals 18 409

    [40]

    Xiao B Q, Fan J T, Jiang G P, Chen L X 2012 Acta Phys. Sin. 61 154401 (in Chinese) [肖波齐, 范金土, 蒋国平, 陈玲霞 2012 物理学报 61 154401]

    [41]

    Cai J C, Yu B M, Zou M Q, Mei M F 2010 Chem. Eng. Sci. 65 5178

    [42]

    Yun M J, Yu B M, Cai J C 2009 Int. J. Heat Mass Transfer 52 3272

    [43]

    Cai J C, Hu X Y, Standnes D C, Yu L J 2012 Colloids Surf. A: Physicochem. Eng. Aspects 414 228

    [44]

    Comiti J, Renaud M 1989 Chem. Eng. Sci. 44 1539

    [45]

    Yun M J, Yu B M, Zhang B, Huang M T 2005 Chin. Phys. Lett. 22 1464

    [46]

    Yun M J, Yu B M, Xu P, Wu J S 2006 Can. J. Chem. Eng. 84 301

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  • 收稿日期:  2012-06-25
  • 修回日期:  2012-07-12
  • 刊出日期:  2013-01-05

裂缝-孔隙型双重介质油藏渗吸机理的分形分析

  • 1. 油气藏地质及开发工程国家重点实验室, 西南石油大学, 成都 610500;
  • 2. 中国地质大学 地球物理与空间信息学院, 武汉 430074
    基金项目: 国家重点基础研究发展计划(批准号: 2010CB226705)、 国家自然科学基金 (批准号: 41102080) 和西南石油大学油气藏地质及开发工程国家重点实验室 (批准号: PLN1117) 资助的课题.

摘要: 低渗透油藏常常伴随裂缝发育, 形成裂缝-基质双重介质.自发渗吸是低渗裂缝性水驱油藏的重要采油机理, 有顺向和逆向两种渗吸方式. 基于基质孔隙结构的分形特征, 引入分形几何对裂缝性双重介质渗吸机理的判据进行了改进, 建立了渗吸机理的分形判据模型, 并进一步推导了结构常数的解析表达式.结果表明, 渗吸机理的判别参数是基质孔隙度、高度、孔隙分形维数、流动迂曲度、最大孔隙直径、界面张力、油水密度差以及接触角的函数. 改进后的判据模型与现有结果一致. 最后绘制了判别渗吸机理的图版, 为利用表面活性剂提高低渗透油藏采收率提供理论依据.

English Abstract

参考文献 (46)

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