Ohm's Law, Fick's Law, Joule's Law, and Ground Water Flow
Ohm's Law, Fick's Law, Joule's Law, and Ground Water Flow
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DOI：
10.2172/6537
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发表时间：
1999-02
期刊：
影响因子：
--
通讯作者：
T. Narasimhan
中科院分区：
文献类型：
--
作者：
T. Narasimhan
从欧姆、菲克和焦耳在19世纪的贡献出发，导出了稳态地下水流动系统的积分表达式。总的来说，这个积分表达式表达了稳态地下水系统具有两个因变量的特征，即流动几何和流体势。因此，解决稳态流动问题意味着在最小作用约束下，寻找流动几何形状和势分布相互兼容的最佳条件。随着数字计算机和强大的图形软件的可用性，这一视角开辟了了解地下水流动过程的可能性，而无需诉诸传统的微分方程。在将积分表达式推广到瞬态地下水流动系统时，出现了概念上的困难。这些困难表明，地下水水力学的基础值得重新审视。
Starting from the contributions of Ohm, Fick and Joule during the nineteenth century, an integral expression is derived for a steady-state groundwater flow system. In general, this integral statement gives expression to the fact that the steady-state groundwater system is characterized by two dependent variables, namely, flow geometry and fluid potential. As a consequence, solving the steady-state flow problem implies the finding of optimal conditions under which flow geometry and the distribution of potentials are compatible with each other, subject to the constraint of least action. With the availability of the digital computer and powerful graphics software, this perspective opens up possibilities of understanding the groundwater flow process without resorting to the traditional differential equation. Conceptual difficulties arise in extending the integral expression to a transient groundwater flow system. These difficulties suggest that the foundations of groundwater hydraulics deserve to be reexamined.