自仿射粗糙单裂隙对地下水可溶性污染物运移影响的模拟研究
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摘要
粗糙单裂隙可溶性污染物运移问题作为基础性的溶质运移问题,一直受到人们关注。本文采用连续随机叠加技术,生成具有自仿射分形特征的二维粗糙裂隙表面,利用Stokes方程计算得到自仿射粗糙单裂隙的非均匀水流场,而后将其与对流扩散方程耦合,求出自仿射粗糙单裂隙的可溶性污染运移过程。对粗糙单裂隙的非均匀水流场和浓度场进行了分析,并通过改变可溶性污染物的分子扩散系数,在脉冲注入条件下,讨探了粗糙单裂隙对可溶性污染物运移的影响。研究发现,粗糙单裂隙水流场受隙宽分布的影响具有非均匀性;粗糙的裂隙表面是穿透曲线出现"托尾"现象的主要原因,其"托尾"现象随可溶性污染物分子扩散系数的增大而减弱。
引文
[1]Dou,Z.,Z.Zhou,and B.E.Sleep,Influence of wettability on interfacial area during immiscible liquid invasion into a 3D self-affine rough fracture;Lattice Boltzmann simulations.Advances in Water Resources,2013.61(0):p.1-11.
[2]Dou,Z.,Z.-f.Zhou,and Z.-f.LI,Experimental study ofrelative permeability-saturation-pressure models for two-phase oil-water flow in porous media.Advances in Water Science,2012.23(2):p.207-215.
[3]Brown,S.R.,Simple mathematical model of a rough fracture.Journal of Geophysical Research:Solid Earth,1995.100(B4):p.5941-5952.
[4]Maloy,K.J.,et al.,Experimental measurements of the roughness of brittle cracks.Physical Review Letters,1992.68(2):p.213-215.
[5]Schmittbuhl,J.,et al.,Fracture morphology and viscous transport.International Journal of Rock Mechanics and Mining Sciences,2008.45(3):p.422-430.
[6]Schmittbuhl,J.,S.Centier,and S.Roux,Field measurements of the roughness of fault surfaces.Geophysical Research Letters,1993.20(8):p.639-641.
[7]Boffa,J.M.,C.Allain,and n.J.P Hulin,Experimental analysis of fracture rugosity in granular and compact rocks.The European Physical Journal-Applied Physics,1998.2(03):p.281-289.
[8]Voss,R.F.,Fractals in nature;from characterization to simulation,in The Science of Fractal Images.1988,Springer-Verlag New York,Inc.p.21-70.
[2]Dou,Z.,Z.-f.Zhou,and Z.-f.LI,Experimental study ofrelative permeability-saturation-pressure models for two-phase oil-water flow in porous media.Advances in Water Science,2012.23(2):p.207-215.
[3]Brown,S.R.,Simple mathematical model of a rough fracture.Journal of Geophysical Research:Solid Earth,1995.100(B4):p.5941-5952.
[4]Maloy,K.J.,et al.,Experimental measurements of the roughness of brittle cracks.Physical Review Letters,1992.68(2):p.213-215.
[5]Schmittbuhl,J.,et al.,Fracture morphology and viscous transport.International Journal of Rock Mechanics and Mining Sciences,2008.45(3):p.422-430.
[6]Schmittbuhl,J.,S.Centier,and S.Roux,Field measurements of the roughness of fault surfaces.Geophysical Research Letters,1993.20(8):p.639-641.
[7]Boffa,J.M.,C.Allain,and n.J.P Hulin,Experimental analysis of fracture rugosity in granular and compact rocks.The European Physical Journal-Applied Physics,1998.2(03):p.281-289.
[8]Voss,R.F.,Fractals in nature;from characterization to simulation,in The Science of Fractal Images.1988,Springer-Verlag New York,Inc.p.21-70.