CHEN Hui, GUAN Ji-teng, FANG Wen-jing. Microscopic Mechanism of Periodical Electroosmosis in Reservoir Rocks[J]. Applied Mathematics and Mechanics, 2012, 33(10): 1189-1198. doi: 10.3879/j.issn.1000-0887.2012.10.005
Citation: CHEN Hui, GUAN Ji-teng, FANG Wen-jing. Microscopic Mechanism of Periodical Electroosmosis in Reservoir Rocks[J]. Applied Mathematics and Mechanics, 2012, 33(10): 1189-1198. doi: 10.3879/j.issn.1000-0887.2012.10.005

Microscopic Mechanism of Periodical Electroosmosis in Reservoir Rocks

doi: 10.3879/j.issn.1000-0887.2012.10.005
  • Received Date: 2011-11-21
  • Rev Recd Date: 2012-05-02
  • Publish Date: 2012-10-15
  • Based on the electric double layer (EDL) theory and the momentum equation governing the electroosmosis flow, an analytical solution to the periodical electroosmosis with a parallel straight capillary bundle model of reservoir rocks to reveal the microscopic mechanism of the electroosmotic flows in rocks was presented.The theory shows that both frequency dispersion characteristics of the macroscopic electroosmotic Darcy velocity in unsealed rocks and the electroosmotic pressure coefficient in sealed rocks depend on the porosity and electrochemical properties of reservoir rocks. The mathematical simulation indicates that the distribution of the periodical electroosmotic velocity is wavelike in the rock pore. The greater the porosity, the greater electroosmotic Darcy velocity and the smaller electroosmotic pressure coefficient are generated. The module value of the electroosmotic Darcy velocity and the electroosmotic pressure coefficient increase with the decreasing solution concentration or the increasing cation exchange capacity without affecting the phase of the electroosmotic Darcy velocity.
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  • [1]
    林建忠, 包福兵, 张凯, 王瑞金.微纳流动理论及应用[M]. 北京: 科学出版社, 2010: 193-196.(LIN Jian-zhong, BAO Fu-bing, ZHANG Kai, WANG Rui-jin.The Theory and Application of Microflows and Nanoflows[M].Beijing: Science Press, 2010: 193-196.(in Chinese))
    [2]
    尤慧艳.电渗及其在色谱中的应用[M].北京: 科学出版社, 2010: 1-5.(YOU Hui-yan.The Electroosmosis and Application in Chromatography[M].Beijing: Science Press, 2010: 1-5.(in Chinese))
    [3]
    吴健康, 龚磊, 陈波, 曹侃.微/纳流控系统电渗流研究进展[J].力学进展, 2009, 39(5): 555-565.(WU Jian-kang, GONG Lei, CHEN Bo, CAO Kan.Advances in the research of electroosmotic flows in micro/nanofluidic systems[J].Advance in Mechanics, 2009, 39(5): 555-565.(in Chinese))
    [4]
    哈亚特 T, 阿夫扎尔 S, 亨迪 A. 广义Burgers流体中电渗流动的精确解[J]. 应用数学和力学, 2011, 32(9): 1046-1053.(Tasawar Hayat, Saira Afzal. Awatif Hendi.Exact solution of electroosmotic flow in generalized Burgers fluid[J].Applied Mathematics and Mechanics(English Edition), 2011, 32(9): 1119-1126.)
    [5]
    Reppert P M, Morgan F D.Frequency-dependent electroosmosis[J].Journal of Colloid and Interface Science, 2002, 254(2): 372-383.
    [6]
    James G B. Electrokinetic effects and fluid permeability[J].Physica B, 2003, 338(1/4): 270-273.
    [7]
    David B P, WONG Po-zen.Low-frequency AC electrokinetics[J].Colloid and Surfaces A (Physicochemical and Engineering Aspects), 1999, 159(2/3): 283-292.
    [8]
    Reuss F C.Proceedings of the Imperial Society of Naturalists of Moscow[C]Moscow, 1809, 3: 327.
    [9]
    Rice C L, Whitehead R.Electrokinetic flow in a narrow cylindrical capillary[J].The Journal of Physical Chemistry, 1965, 69(11): 4017-4023.
    [10]
    Pride S R.Governing equations for the coupled electromagnetics and acoustics of porous media[J].Physical Review B, 1994, 50(21): 15678-15696.
    [11]
    Dutta P, Beskok A.Analytical solution of time periodic electroosmotic flows: analogies to Stokes’ second problem[J].Analytical Chemistry, 2001, 73(21): 5097-5102.
    [12]
    James P G.Electroosmotic flows with random Zeta potential[J].Journal of Colloid and Interface Science, 2002, 249(1): 217-226.
    [13]
    Kang Y, Yang C, Huang X Y.AC electroosmosis in microchannels packed with a porous medium[J].Journal of Micromechanics and Microengineering, 2004, 14(8): 1249-1257.
    [14]
    WANG Rui-jin, LIN Jian-zhong, LI Zhi-hua.Study on the impacting factors of transverse diffusion in the micro-channels of T-sensors[J].Journal of Nanoscience and Nanotechnology, 2005, 5(8): 1281-1286.
    [15]
    WANG Rui-jin, LIN Jian-zhong. Numerical analysis on a passive chaotic micromixer with helical microchannel[J].Journal of Nanoscience and Nanotechnology, 2006, 6(1): 190-194.
    [16]
    张凯, 林建忠, 李志华.电渗驱动微通道流中的扩散[J].应用数学和力学, 2006, 27(5): 512-518.(ZHANG Kai, LIN Jian-zhong, LI Zhi-hua.Research on diffusion in the microchannel flow driven by electroosmosis[J].Applied Mathematics and Mechanics(English Edition), 2006, 27(5): 575-582.)
    [17]
    WANG Rui-jin, LIN Jian-zhong, LI Zhi-hua.Analysis of electro-osmotic flow characteristics at joint of capillaries with step change in ζ-potential and dimension[J].Biomedical Microdevices, 2005, 7(2): 131-135.
    [18]
    李志华, 林建忠, 聂德明.消除毛细管电泳槽道中弯道导致的扩散效应的新方法[J].应用数学和力学, 2005, 26(6): 631-636.(LI Zhi-hua, LIN Jian-zhong, NIE De-ming.New approach to minimize dispersion induced by turn in capillary electrophersis channel flows[J].Applied Mathematics and Mechanics(English Edition), 2005, 26(6): 685-690.)
    [19]
    吴健康, 王贤明.生物芯片微通道周期性电渗流特性[J].力学学报, 2006, 38(3): 309-315.(WU Jian-kang, WANG Xian-ming.Flow behavior of periodical electroosmosis in microchannel for biochips[J].Chinese Journal of Theoretical Applied Mechanics, 2006, 38(3): 309-315.(in Chinese))
    [20]
    龚磊, 吴健康, 王蕾, 晁侃.微通道周期流动电位势及电粘性效应[J].应用数学和力学, 2008, 29(6): 649-656.(GONG Lei, WU Jian-kang, WANG Lei, CHAO Kan.Periodical streaming potential and electro-viscous effects in microchannel flow[J].Applied Mathematics and Mechanics(English Edition), 2008, 29(6): 715-724.)
    [21]
    秦积舜, 李爱芬.油层物理学[M].东营: 中国石油大学出版社, 2006: 181-181.(QIN Ji-shun, LI Ai-fen.Physical Properties of Petroleum Reservoir[M].Dongying: China University of Petroleum Press, 2006: 181-181.(in Chinese))
    [22]
    关继腾, 房文静.含水岩土体系电化学传质动力学耦合关系研究[J].岩土工程学报, 2000, 22(6): 664-667.(GUAN Ji-teng, FANG Wen-jing.Coupling relationship for electrochemical hydrodynamics in water-saturated sandy soil and clay soil[J].Chienese Journal of Geotechnical Engineering, 2000, 22(6): 664-667.(in Chinese))
    [23]
    沙皮罗 Д А.岩石的物理-化学性质及其在石油矿场地球物理中的应用[M].姜恩承译.北京: 石油工业出版社, 1987: 3-10.(Shaliro G A.Rock’s Physicochemical Property and Its Practical Application to Geophysics in Oil Field[M].JIANG En-cheng translates. Beijing: Petroleum Industry Press, 1987: 3-10.(Chinese version))
    [24]
    关继腾, 王谦, 范业活, 房文静, 于华.利用毛管模型研究泥质砂岩电化学测井响应机理[J].地球物理学报, 2010, 53(1): 214-223.(GUAN Ji-teng, WANG Qian, FAN Ye-huo, FANG Wen-jing, YU hua.Study on the mechanisms of electrochemical logging response in shaly sandstone based on capillary model[J].Chienese Journal of Geophysics, 2010, 53(1): 214-223.(in Chinese))
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