Similarity solutions for solute transport in fractal porous media using a time- and scale-dependent dispersivity

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	Similarity solutions for solute transport in fractal porous media using a time- and scale-dependent dispersivity
	Su, NH ; Sander, GC ; Liu, FW ; Anh, V ; Barry, DA ; Liu FW(刘发旺)
刊名	http://dx.doi.org/10.1016/j.apm.2004.11.006
	2005-09
关键词	SUBSURFACE DISPERSION NONLOCAL DISPERSION SIERPINSKI CARPETS DIFFUSION MODEL AQUIFERS FLOW GROUNDWATER EXPLANATION EQUATIONS
英文摘要	A specific form of the Fokker-Planck equation with a time- and scale-dependent dispersivity is presented for modelling solute transport in saturated heterogeneous porous media. By taking a dispersivity in the form of separable power-law dependence on both time and scale, we are able to show the existence of similarity solutions. Explicit closed-form solutions are then derived for an instantaneous point-source (Dirac delta function) input, and for constant concentration and constant flux boundary conditions on a semi-infinite domain. The solutions have realistic behaviour when compared to tracer breakthrough curves observed under both field and laboratory conditions. Direct comparison with the experimental laboratory data of Pang and Hunt [J. Contain. Hydrol. 53 (2001) 21] shows good agreement between the source solutions and the measured breakthrough curves. (c) 2004 Elsevier Inc. All rights reserved.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66104]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Su, NH,Sander, GC,Liu, FW,et al. Similarity solutions for solute transport in fractal porous media using a time- and scale-dependent dispersivity[J]. http://dx.doi.org/10.1016/j.apm.2004.11.006,2005.
APA	Su, NH,Sander, GC,Liu, FW,Anh, V,Barry, DA,&刘发旺.(2005).Similarity solutions for solute transport in fractal porous media using a time- and scale-dependent dispersivity.http://dx.doi.org/10.1016/j.apm.2004.11.006.
MLA	Su, NH,et al."Similarity solutions for solute transport in fractal porous media using a time- and scale-dependent dispersivity".http://dx.doi.org/10.1016/j.apm.2004.11.006 (2005).