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科学通报  2015 

自仿射粗糙割理中流体渗流的分形定律

DOI: 10.1360/N972015-00140, PP. 2036-2047

Keywords: 自仿射端面,赫斯特指数,格子Boltzmann模型,分形裂-渗方程,水文弯曲度,端面曲折率

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Abstract:

耦合分形理论、裂隙流控制方程及孔隙尺度下数值模拟技术,详细分析了煤储层单割理中端面几何对流体运移的控制作用.首先,依据流阻成因及作用方式,确立了割理端面几何对流体运移的多重效应模式及其所对应的物理参数,依次为水文弯曲度、局部粗糙度因子以及端面曲折率.在此基础上,利用割理端面几何的自仿射属性,构建了观测尺度为割理开度时的分形裂-渗方程.其中,水文弯曲度和端面曲折率表现出不同的尺度不变特征,而局部粗糙度因子则具有长程平稳的特点.最后,利用格子Boltzmann方法于孔隙尺度下模拟了粗糙割理中煤层气的运移规律,结果表明参数物理意义明确的新裂-渗方程解析值同数值模拟渗透率之间是高度一致的;在粗糙割理中,流速剖面的分布是一种正态分布而非抛物线模型;端面几何除了摩擦作用外还会引起涡流效应,并且同其局部特征直接相关,这会加剧压力的损失.

 References

[1]  1 Yao Y B, Liu D M, Tang D Z, et al. Fractal characterization of seepage-pores of coals from China: An investigation on permeability of coals. Comput Geosci, 2009, 35: 1159-1166
[2]  2 Yao Y B, Liu D M. Adsorption characteristics of coal reservoirs in North China and its influencing factors (in Chinese). J China Univ Min Tech, 2007, 36: 308-314 [姚艳斌, 刘大锰. 华北重点矿区煤储层吸附特征及其影响因素. 中国矿业大学学报, 2007, 36: 308-
[3]  3 Karacan C O, Okandan E. Adsorption and gas transport in coal microstructure: Investigation and evaluation by quantitative X-ray CT imaging. Fuel, 2001, 80: 509-520
[4]  4 Gilman A, Beckie R. Flow of coal-bed methane to a gallery. Transp Porous Media, 2000, 41: 1-16
[5]  5 Clarkson C R, Bustin R M. The effect of pore structure and gas pressure upon the transport properties of coal: A laboratory and modeling study. 1. Isotherms and pore volume distributions. Fuel, 1999, 78: 1333-1344
[6]  6 Eker E, Akin S. Lattice Boltzmann simulation of fluid flow in synthetic fractures. Transp Porous Media, 2006, 65: 363-384
[7]  7 Witherspoon P A, Wang J S Y, Iwai K, et al. Validity of Cubic Law for fluid flow in a deformable rock fracture. Water Resour Res, 1980, 16: 1016-1024
[8]  8 Bear J. Dynamics of Fluids in Porous Media. New York: Elsevier, 1972
[9]  9 Snow D T. Anisotropie permeability of fractured media. Water Resour Res, 1969, 5: 1273-1289
[10]  10 Sampath K, Keighim C W. Factors affecting gas slippage in tight sandstones of Cretaceous age in the Uinta Basin. J Petrol Technol, 1982, 34: 2715-2720
[11]  11 Ge H K, Shen Y H, Song Y, et al. Slippage effect of shale gas flow in nanoscale pores (in Chinese). Nat Gas Ind, 2014, 34: 46-54 [葛洪魁, 申颍浩, 宋岩, 等. 页岩纳米孔隙气体流动的滑脱效应. 天然气工业, 2014, 34: 46-
[12]  12 Ziarani A S, Aguilera R. Knudsen's permeability correction for tight porous media. Transp Porous Media, 2012, 91: 239-260
[13]  13 Tang S H, Cai C, Zhu B C, et al. Control effect of coal metamorphic degree on physical properties of coal reservoirs (in Chinese). Nat Gas Ind, 2008, 28: 30-33 [唐书恒, 蔡超, 朱宝存, 等. 煤变质程度对煤储层物性的控制作用. 天然气工业, 2008, 28: 30-
[14]  14 Succi S. The Lattice Boltzmann Equation for Fluid Dynamics and Beyond. New York: Oxford, 2001
[15]  15 Brown S R, Scholz C H. Broad bandwidth study of the topography of natural rock surfaces. J Geophys Res, 1985, 90: 12512-12575
[16]  16 Lomize G M. Flow in Fractured Rocks. Moscow: Gosemergoizdat, 1951
[17]  17 Louis C. A Study of Groundwater Flow in Jointed Rock and Its Influence on the Stability of Rock Masses. London: Imperial College of Science and Technology, 1969
[18]  18 Louis C. Rock Hydraulics in Rock Mechanics. New York: Springer-Verlag, 1974
[19]  19 Mandelbrot B B. The Fractal Geometry of Nature. New York: Macmillan, 1983
[20]  20 Sangani A S, Acrivos A. Slow flow past periodic arrays of cylinders with application to heat transfer. Int J Multiphas Flow, 1982, 8: 193-206
[21]  21 Tsang Y W. The effect of tortuosity on fluid flow through a single fracture. Water Resour Res, 1984, 20: 1209-1215
[22]  22 Tsang Y W, Tsang C F, Neretnieks I, et al. Flow and tracer transport in fractured media: A variable aperture channel model and its properties. Water Resour Res, 1988, 24: 2049-2060
[23]  23 Cook A M, Myer L R, Cook N, et al. The Effect of Tortuosity on Flow Through a Natural Fracture. Golden: Colorado, 1990
[24]  24 Murata S, Saito T. Estimation of tortuosity of fluid flow through a single fracture. J Can Petrol Technol, 2003, 42: 39-45
[25]  25 Jin Y, Zhu Y B, Wu Y, et al. Numerical investigation of migration mechanism for coal-bed methane flow through cleats with rough surfaces in coal reservoir (in Chinese). J China Coal Soc, 2014, 39: 1826-1834 [金毅, 祝一搏, 吴影, 等. 煤储层粗糙割理中煤层气运移机理数值分析. 煤炭学报, 2014, 39: 1826-
[26]  26 Chen Y, Zhang C, Shi M, et al. Role of surface roughness characterized by fractal geometry on laminar flow in microchannels. Phys Rev E, 2009, 80: 26301
[27]  27 Brown S R. A note on the description of surface roughness using fractal dimension. Geophys Res Lett, 1987, 14: 1095-1098
[28]  28 Xiao W M, Xia C C, Wang W, et al. Study of a new equation for fluid flow through a single rough joint considering tortuosity effect (in Chinese). Chin J Rock Mech Eng, 2011, 30: 2416-2425 [肖维民, 夏才初, 王伟, 等. 考虑曲折效应的粗糙节理渗流计算新公式研究. 岩石力学与工程学报, 2011, 30: 2416-
[29]  29 Ju Y, Zhang Q, Yang Y, et al. An experimental investigation on the mechanism of fluid flow through single rough fracture of rock. Sci China Tech Sci, 2013, 56: 2070-2080
[30]  30 Jin Y, Song H, Hu B, et al. Lattice Boltzmann simulation of fluid flow through coal reservoir's fractal pore structure. Sci China Earth Sci, 2013, 56: 1519-1530
[31]  31 Croce G, D'Agaro P, Nonino C. Three-dimensional roughness effect on microchannel heat transfer and pressure drop. Int J Heat Mass Tran, 2007, 50: 5249-5259
[32]  32 Ju Y, Wang J, Gao F, et al. Lattice-Boltzmann simulation of microscale CH4 flow in porous rock subject to force-induced deformation. Chin Sci Bull, 2014, 59: 3292-3303
[33]  33 Keehm Y, Mukerji T, Nur A. Permeability prediction from thin sections: 3D reconstruction and Lattice-Boltzmann flow simulation. Geo- phys Res Lett, 2004, 31: L4606
[34]  34 Ladd A J C. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results. J Fluid Mech, 1994, 271: 311-339
[35]  35 Madadi M, Sahimi M. Lattice Boltzmann simulation of fluid flow in fracture networks with rough, self-affine surfaces. Phys Rev E, 2003, 67: 26309
[36]  36 Nourgaliev R R, Dinh T N, Theofanous T G, et al. The lattice Boltzmann equation method: Theoretical interpretation, numerics and implications. Int J Multiphas Flow, 2003, 29: 117-169
[37]  37 Wang B Y, Jin Y, Chen Q, et al. Derivation of permeability-pore relationship for fractal porous reservoirs using series-parallel flow resistance model and lattice Boltzmann method. Fractals, 2014, 22: 1440005
[38]  38 Zhang C B, Chen Y P, Deng Z L, et al. Role of rough surface topography on gas slip flow in microchannels. Phys Rev E, 2012, 86: 16319
[39]  39 Wheatcraft S W, Tyler S W. An explanation of scale-dependent dispersivity in heterogeneous aquifers using concepts of fractal geometry. Water Resour Res, 1988, 24: 566-578
[40]  40 Pitchumani R, Ramakrishnan B. A fractal geometry model for evaluating permeabilities of porous preforms used in liquid composite molding. Int J Heat Mass Tran, 1999, 42: 2219-2232
[41]  41 Yu B M, Li J H, Li Z H, et al. Permeabilities of unsaturated fractal porous media. Int J Multiphas Flow, 2003, 29: 1625-1642
[42]  42 Cai J, Perfect E, Cheng C, et al. Generalized modeling of spontaneous imbibition based on Hagen-Poiseuille flow in tortuous capillaries with variably shaped apertures. Langmuir, 2014, 30: 5142-5151
[43]  43 Sun H, Koch M. Fractal generation of surface area of porous media. Stoch Hydrol Hydraul, 1998, 12: 83-96
[44]  44 Sreenivasan K R. Fractals and Multifractals in fluid turbulence. Annu Rev Fluid Mech, 1991, 23: 539-604
[45]  45 Schmittbuhl J, Gentier S, Roux S. Field measurements of the roughness of fault surfaces. Geophys Res Lett, 1993, 20: 639-641
[46]  46 Cox B L, Wang J S Y. Fractal surfaces: Measurement and applications in the earth sciences. Fractals, 1993, 1: 87-115
[47]  47 Vickers B C, Neuman S P, Sully M J, et al. Reconstruction and geostatistical analysis of multiscale fracture apertures in a large block of welded tuff. Geophys Res Lett, 1992, 19: 1029-1032
[48]  48 Auradou H, Drazer G, Boschan A, et al. Flow channeling in a single fracture induced by shear displacement. Geothermics, 2006, 35: 576-588
[49]  49 Croce G, D'Agaro P. Numerical analysis of roughness effect on microtube heat transfer. Superlattice Microst, 2004, 35: 601-616
[50]  50 Madadi M, Sahimi M. Lattice Boltzmann simulation of fluid flow in fracture networks with rough, self-affine surfaces. Phys Rev E, 2003, 67: 26309
[51]  51 Zou M, Yu B, Feng Y, et al. A Monte Carlo method for simulating fractal surfaces. Physica A, 2007, 386: 176-186
[52]  52 Dünweg B, Schiller U D, Ladd A J C. Statistical mechanics of the fluctuating lattice Boltzmann equation. Phys Rev E, 2007, 76: 36704
[53]  53 Qian Y H, D'Humieres D, Lallemand P. Lattice BGK models for Navier-Stokes equation. Europhys Lett, 1992, 17: 479-488
[54]  54 Chen S Y, Doolen G D. Lattice Boltzmann method for fluid flows. Annu Rev Fluid Mech, 1998, 30: 329-364
[55]  55 Sukop M C, Thorne D T. Lattice Boltzmann Modeling: An Introduction for Geoscientists and Engineers. Berlin: Springer, 2006
[56]  56 Sukop M C, Huang H B, Alvarez P F, et al. Evaluation of permeability and non-Darcy flow in vuggy macroporous limestone aquifer samples with lattice Boltzmann methods. Water Resour Res, 2013, 49: 216-230
[57]  57 Jin Y, Dong J B, Zheng J L, et al. Kinematical measurement of hydraulic tortuosity of fluid flow in porous media. Int J Mod Phys C, 2015, 26: 1550017
[58]  58 Balankin A S. Physics of fracture and mechanics of self-affine cracks. Eng Fract Mech, 1997, 4: 135-203
[59]  59 Sláme？ka K, Pokluda J, Poní？il P, et al. On the topography of fracture surfaces in bending-torsion fatigue. Eng Fract Mech, 2008, 75: 760-767
[60]  60 Dereziński J. Hypergeometric type functions and their symmetries. Ann Henri Poincaré, 2014, 15: 1569-1653

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