地下水在粘弹性含水层系中不定常渗流

Nonsteady Flow of Groundwater in Aquifer System with Viscoelastic Properties

Lanzhou Research Division of Flow Through Porous Media, Academia Sinica of China, Lanzhou

摘要: 本文研究了地下水在粘弹性含水层系中不定常渗流动态。在前人工作的基础上导出了新的微分-积分方程组。已知的微分方程组是它的特殊情况。新的线性微分-积分方程组描写了弱压缩流体在粘弹性含水层系中流动。用Laplace变换的方法求得了微分-积分方程组的解析解。粘弹性增加了含水层系的非均质性,即具有延迟和补给的性质。数值反演解和解析解符合得较好。它们给出了地下水在这种非均质含水层系中水位变化动态。

Abstract: The transient flow behavior of ground-water in aquifer-aquitard system with viscoelastic properties is studied. On the basis of previous works (Hantush, Neuman, Brutsaert, Corapcioglu), the new partial differential-integral equations are derived. The well-known equations (Hantush, Brutsaert) are the special cases of the new equations. The new equations describe the flow of a slightly compressible groundwater in layers with viscoelastic properties.Analytical solutions of the partial differential-integral equations are obtained by using the method of Laplace transform. The viscoelastic properties enhance the heterogeneities of elastic aquifer system which have delay and feed qualities. The agreements between the numericl inversion results of Laplace transform and the analytical solutions are good. The formulae predict the transient flow behavior of groundwater in this heterogeneous layers.

[1]	刘慈群,具有弱渗透夹层的有限封闭油层中不定常渗流,中国科学院兰州地质研究所流力学集刊(1964).
[2]	刘慈群,饱水土层的一维压密问题,力学学报,3 (1977), 191-194.
[3]	Neuman, S. P. and P. A. Witherspoon Theory of flow in a confined two-aquifer system, Water Resource Res., 5. 4 (1969), 803-816.
[4]	陈钟洋等,有限封闭含水层系越流问题的精确解,力学学报,2 (1983), 129-143
[5]	Brutsaert,W.,et al Pumping of aquifer with viscoelastic properties, 102, Hy 11 (1976),1663-1676.
[6]	Corapcioglu, M. Y.,Mathematical modelling of leaky aquifers with rheological properties, Proc. of the Anahein Symporsium, Dec. (1976), 191-200.
[7]	Stehfest, H., Algorithm 368, numerical inversion of Laplace transforms, D-5, Commun.ACM, 13,1(1970), 47-49.