On matrix diffusion:: formulations, solution methods and qualitative effects

被引:295
作者
Carrera, J [1 ]
Sánchez-Vila, X [1 ]
Benet, I [1 ]
Medina, A [1 ]
Galarza, G [1 ]
Guimerà, J [1 ]
机构
[1] Univ Politecn Catalunya, Sch Civil Engn, E-08034 Barcelona, Spain
关键词
tracer tests; fractured rocks; analytical solutions; matrix diffusion;
D O I
10.1007/s100400050143
中图分类号
P [天文学、地球科学];
学科分类号
07 ;
摘要
Matrix diffusion has become widely recognized as an important transport mechanism. Unfortunately, accounting for matrix diffusion complicates solute-transport simulations. This problem has led to simplified formulations, partly motivated by the solution method. As a result, some confusion has been generated about how to properly pose the problem. One of the objectives of this work is to find some unity among existing formulations and solution methods. In doing so, some asymptotic properties of matrix diffusion are derived. Specifically, early-time behavior (short tests) depends only on phi(m)(2)R(m)D/L-m(2), whereas late-time behavior (long tracer tests) depends only on phi(m)R(m), and not on matrix diffusion coefficient or block size and shape. The latter is always true for mean arrival time. These properties help in: (a) analyzing the qualitative behavior of matrix diffusion; (b) explaining one paradox of solute transport through fractured rocks (the apparent dependence of porosity on travel time); (c) discriminating between matrix diffusion and other problems (such as kinetic sorption or heterogeneity); and (d) describing identifiability problems and ways to overcome them.
引用
收藏
页码:178 / 190
页数:13
相关论文
共 40 条
[1]  
CARRERA J, 1985, THEORETICAL DEV REGA
[2]  
CARRERA J, 1990, IAHS PUBL, V195, P231
[3]  
CARRERA J, 1986, APPL METODO ELEMENTO, P307
[6]   ITERATIVE QUASI-3-DIMENSIONAL FINITE-ELEMENT MODEL FOR HETEROGENEOUS MULTI-AQUIFER SYSTEMS [J].
CHORLEY, DW ;
FRIND, EO .
WATER RESOURCES RESEARCH, 1978, 14 (05) :943-952
[7]   Direct simulation of groundwater age [J].
Goode, DJ .
WATER RESOURCES RESEARCH, 1996, 32 (02) :289-296
[8]   AN ANALYTICAL SOLUTION FOR SOLUTE TRANSPORT THROUGH FRACTURED MEDIA WITH MATRIX DIFFUSION [J].
GRISAK, GE ;
PICKENS, JF .
JOURNAL OF HYDROLOGY, 1981, 52 (1-2) :47-57
[9]  
HAGGERTY R, 1995, WATER RESOUR RES, V31, P2383, DOI 10.1029/95WR10583
[10]   TEMPORAL MOMENT-GENERATING EQUATIONS - MODELING TRANSPORT AND MASS-TRANSFER IN HETEROGENEOUS AQUIFERS [J].
HARVEY, CF ;
GORELICK, SM .
WATER RESOURCES RESEARCH, 1995, 31 (08) :1895-1911