TRAVELING WAVES DURING THE TRANSPORT OF REACTIVE SOLUTE IN POROUS-MEDIA - COMBINATION OF LANGMUIR AND FREUNDLICH ISOTHERMS

被引：12

作者：

VANDUIJN, CJ

KNABNER, P

VANDERZEE, SEATM

机构：

[1] Technical University Delft, Faculty of Technical Mathematics and Informatics, 2600 AJ Delft

[2] Institut für Angewandte Analysis und Stochastik, D 0-1086 Berlin

[3] Agricultural University Wageningen, Department of Soil Science and Plant Nutrition, 6700 EC Wageningen

来源：

ADVANCES IN WATER RESOURCES | 1993年 / 16卷 / 02期

关键词：

TRANSPORT; TRAVELING WAVE; POROUS MEDIA; LANGMUIR ISOTHERM; FREUNDLICH ISOTHERM; NONLINEAR ADSORPTION;

D O I：

10.1016/0309-1708(93)90001-V

中图分类号：

TV21 [水资源调查与水利规划];

学科分类号：

081501 ;

摘要：

Recently, it has been shown that in the case of nonlinear solute adsorption the displacement may be in the form of a travelling wave. In this paper, we investigate whether a travelling wave type of behaviour can be expected when two different types of sorption sites can be distinguished with different isotherms and kinetics. Illustrations are given for cases where the overall isotherm comprises two contributions that follow the Langmuir and the Freundlich equations, respectively. Boundary conditions are chosen that ensure a decrease in concentration in the direction of flow. Depending on the value of the Freundlich power (p) the travelling wave may exist. For p less-than-or-equal-to 1, the travelling wave always exists, whereas for 1 < p less-than-or-equal-to 2 it depends on the values of the other adsorption parameters and whether a lower bound of the upstream concentration (at x = -infinity) is exceeded. For p greater-than-or-equal-to 2, the existence of the travelling wave requires that the upstream concentration does not exceed an (specified) upper bound. Besides illustrating some waves we show that two different rate functions that have the Freundlich isotherm as their limit for an infinite rate parameter result in qualitatively different travelling waves.

引用

页码：97 / 105

页数：9

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