摘要
本文研究球对称弥散问题,模型中考虑了孔隙介质的微结构特征。这种微结构起着广义的吸附作用,在溶质的输运过程中有滞后效应。文中考虑了五种微结构模型,它们是均衡吸附模型,一阶线性动力吸附模型、板状、柱状和球粒结构模型。分别求得Laplace空间的解析解,用Stehfest的数值反演技术获得各种模型的溶质浓度分布,并对有关的影响因素进行了量值考查,对认识微结构模型的特性有帮助,可以作为地层排污、特殊条件下的石油开采及溶滤萃矿等工程设计的理论依据。
This paper studies sphere symmetry dispersion problem. In the mathematical model the micro-aggregates of porous media are considered. The micro-aggregate plays a role of general adsorption, and in transportation process of solute it results in retardation of concentration wave. In this paper five kinds of micro-aggregates are concerned, i.e. local equilibrium sorption model, first-order rate-limited sorption model, parallel layer diffusion model, cylindrical diffusion model and spherical diffusion model. The model equations are solved in the Laplace domain and numerically inverted to simulate solute concentration distribution nearby an injection well. Related parameters are investigated to see the effects on concentration distribution. Concentration curves are of helpfull to know the characteristic of spherical dispersion problem. The obtained results can provide theoretical base in some engineering fields such as hydrogeology, petroleum engineering and solution mine-extracted and so on.
出处
《力学学报》
EI
CSCD
北大核心
1993年第3期309-316,共8页
Chinese Journal of Theoretical and Applied Mechanics
关键词
弥散
微结构
多孔介质
球对称
dispersion, micro-aggregates, porous media, two region