论文标题
远程地下水流量和地下水位进化的方程式
Equations for Long-Range Groundwater Flow and Water Table Evolution
论文作者
论文摘要
这些是我在研究我的第一篇论文的远程地下水流程方程时进行了编译的。通过“远距离”，我的意思是水平距离明显大于含水层的垂直厚度，此外还有下面讨论的其他一些假设。这些材料都不构成重要的新方程的原始开发，但是对于学习简化的地下水流量模型的人来说，这可能是有用的。 我从达西定律开始，提醒自己如何制定垂直平均的地下水流量保护法。然后，我讨论有关如何以数值求解流程方程的一些想法。之后，我仔细研究了一些情况下，液压电导率是垂直坐标的简单函数，并且可以简化稳态流程方程。最后，关于瞬态案例的讨论非常简短。
These are notes that I compiled while studying the equations of long-range groundwater flow for my first paper. By "long-range," I mean horizontal distances that are significantly greater than the vertical thickness of the aquifer, in addition to some other assumptions discussed below. None of this material constitutes original development of important new equations, but it might be useful to someone learning about simplified models of groundwater flow for numerical solution. I start from Darcy's Law, reminding myself how to formulate the vertically averaged conservation law for groundwater flow. Then I discuss some ideas about how to solve the flow equation numerically. After that, I go through some cases where the hydraulic conductivity is a simple function of the vertical coordinate and the the steady-state flow equation can be simplified. Finally, there is a very short discussion of the transient case.
