Transport of a decay chain in homogenous porous media: analytical solutions

被引:61
作者
Bauer, P [1 ]
Attinger, S [1 ]
Kinzelbach, W [1 ]
机构
[1] Swiss Fed Inst Technol, Inst Hydromech & Water Resources Management, Zurich, Switzerland
关键词
porous materials; solute transport; radioactive decay; mathematical methods;
D O I
10.1016/S0169-7722(00)00195-9
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
With the aid of integral transforms, analytical solutions for the transport of a decay chain in homogenous porous media are derived. Unidirectional steady-state flow and radial steady-state flow in single and multiple porosity media are considered. At least in Laplace domain, all solutions can be written in closed analytical formulae. Partly, the solutions can also be inverted analytically. If not, analytical calculation of the steady-state concentration distributions, evaluation of temporal moments and numerical inversion are still possible. Formulae for several simple boundary conditions are given and visualized in this paper. The derived novel solutions are widely applicable and are very useful for the validation of numerical transport codes. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:217 / 239
页数:23
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