Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

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

Cai Jian-Chao Guo Shi-Li You Li-Jun Hu Xiang-Yun

Citation:

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

Cai Jian-Chao, Guo Shi-Li, You Li-Jun, Hu Xiang-Yun
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

  • 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.
    • 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]

    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

  • [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

  • [1] Zhao Da-Shuai, Sun Zhi, Sun Xing, Sun Huai-De, Han Bai. Micro gap air discharge based on fractal theory. Acta Physica Sinica, 2021, 70(20): 205207. doi: 10.7498/aps.70.20210362
    [2] Zhang Cheng-Bin, Cheng Qi-Kun, Chen Yong-Ping. Molecular dynamics simulation on thermal conductivity of nanocomposites embedded with fractal structure. Acta Physica Sinica, 2014, 63(23): 236601. doi: 10.7498/aps.63.236601
    [3] Chen Shu-Ying, Wang Hai-Dou, Xu Bin-Shi, Kang Jia-Jie. Investigation on the bonding behavior of the interface within the supersonic plasma sprayed coating system based on the fractal theory. Acta Physica Sinica, 2014, 63(15): 156801. doi: 10.7498/aps.63.156801
    [4] Xiao Bo-Qi, Fan Jin-Tu, Jiang Guo-Ping, Chen Ling-Xia. Analysis of convection heat transfer mechanism in nanofluids. Acta Physica Sinica, 2012, 61(15): 154401. doi: 10.7498/aps.61.154401
    [5] Shang Hui-Lin. Fractal eroded safe basins in a forced Holmes-Duffing system and its control by delayed velocity feedback. Acta Physica Sinica, 2012, 61(18): 180506. doi: 10.7498/aps.61.180506
    [6] Xing Hong-Yan, Gong Ping, Xu Wei. Small target detection in the background of sea clutter using fractal method. Acta Physica Sinica, 2012, 61(16): 160504. doi: 10.7498/aps.61.160504
    [7] Yang Juan, Bian Bao-Min, Yan Zhen-Gang, Wang Chun-Yong, Li Zhen-Hua. Fractal characteristics of characteristic parameter statistical distributions of typical random signals. Acta Physica Sinica, 2011, 60(10): 100506. doi: 10.7498/aps.60.100506
    [8] Yang Juan, Bian Bao-Min, Peng Gang, Li Zhen-Hua. The fractal character of two-parameter pulse model for random signal. Acta Physica Sinica, 2011, 60(1): 010508. doi: 10.7498/aps.60.010508
    [9] Yuan Mei-Juan, Zheng Wei, Yu Bo-Ming, Yuan Jie. Fractal analysis of Casson fluid flow in porous media. Acta Physica Sinica, 2011, 60(2): 024703. doi: 10.7498/aps.60.024703
    [10] Liu Yao-Min, Liu Zhong-Liang, Huang Ling-Yan. Simulation of frost formation process on cold plate based on fractal theory combined with phase change dynamics. Acta Physica Sinica, 2010, 59(11): 7991-7997. doi: 10.7498/aps.59.7991
    [11] Zhang Li, Liu Shu-Tang. Control of thermal diffusion fractal growth of thin plate under environmental disturbance. Acta Physica Sinica, 2010, 59(11): 7708-7712. doi: 10.7498/aps.59.7708
    [12] Jiang Ze-Hui, Zhao Hai-Fa, Zheng Rui-Hua. Fractal characterization for subharmonic motion of completely inelastic bouncing ball. Acta Physica Sinica, 2009, 58(11): 7579-7583. doi: 10.7498/aps.58.7579
    [13] Zhang Cheng-Bin, Chen Yong-Ping, Shi Ming-Heng, Fu Pan-Pan, Wu Jia-Feng. Fractal characteristics of surface roughness and its effect on laminar flow in microchannels. Acta Physica Sinica, 2009, 58(10): 7050-7056. doi: 10.7498/aps.58.7050
    [14] Meng Tian-Hua, Zhao Guo-Zhong, Zhang Cun-Lin. Study of enhanced transmission of terahertz radiation through subwavelength fractals structures. Acta Physica Sinica, 2008, 57(6): 3846-3852. doi: 10.7498/aps.57.3846
    [15] Li Tong, Shang Peng-Jian. A multifractal approach to palmprint recognition. Acta Physica Sinica, 2007, 56(8): 4393-4400. doi: 10.7498/aps.56.4393
    [16] Feng Zeng-Chao, Zhao Yang-Sheng, Lü Zhao-Xing. Study on percolation law of 2D porous and fractured double-medium. Acta Physica Sinica, 2007, 56(5): 2796-2801. doi: 10.7498/aps.56.2796
    [17] Shu Xue-Ming, Fang Jun, Shen Shi-Fei, Liu Yong-Jin, Yuan Hong-Yong, Fan Wei-Cheng. Study on fractal coagulation characteristics of fire smoke particles. Acta Physica Sinica, 2006, 55(9): 4466-4471. doi: 10.7498/aps.55.4466
    [18] Wang Li, Li Jian, Yang Ya-Jiang. Fractal structure of water molecular gels formedby the aggregation of organogelators. Acta Physica Sinica, 2004, 53(1): 160-164. doi: 10.7498/aps.53.160
    [19] Liu Hai-Wen, Sun Xiao-Wei, Li Zheng-Fan, Qian Rong, Zhou Min. A low-pass filter of wide stopband with a novel dual-layer fractal photonic band gap structure. Acta Physica Sinica, 2003, 52(12): 3082-3086. doi: 10.7498/aps.52.3082
    [20] Qi Hong-Ji, Huang Li-Hua, Shao Jian-Da, Fan Zheng-Xiu. The study of two-dimensional growth interface in Kuramoto-Sivashinsky and Karda- Parisi-Zhang models. Acta Physica Sinica, 2003, 52(11): 2743-2749. doi: 10.7498/aps.52.2743
Metrics
  • Abstract views:  7038
  • PDF Downloads:  1309
  • Cited By: 0
Publishing process
  • Received Date:  25 June 2012
  • Accepted Date:  12 July 2012
  • Published Online:  05 January 2013

/

返回文章
返回