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

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

doi:10.7498/aps.62.014701

Abstract

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.

Keywords:

Authors and contacts

1.
State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China;
2.
Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, China
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).

References

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[21]	Feng Y J, Yu B M 2007 Fractals 15 385
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[27]	Yu B M, Cheng P 2002 Int. J. Heat Mass Transfer 45 2983
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[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
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[37]	Kou J L, Wu F M, Lu H J, Xu Y S, Song F Q 2009 Phys. Lett. A 374 62
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[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 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

Cited By

[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 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 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 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 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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Vol. 62, Issue 1 - 2013-01-05

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