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arXiv 1802.00890physics.geo-phphysics.flu-dyn
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模拟含水层:地下水流方程的数值解

Modeling an Aquifer: Numerical Solution to the Groundwater Flow Equation

Víctor Manuel Vázquez-Báez, Ana Beatriz Rubio-Arellano, Dolores García-Toral, I. Rodríguez-Mora

摘要:

本文提出了一个稳定流下的地下水动力学模型,并应用该模型研究了由均匀各向同性介质组成的具有恒定坡度的二维含水层,还考虑了更实际的均匀各向异性土的情况。考虑到一些地球物理参数,我们开发了一个计算程序,在有限差分法,解决了由此产生的椭圆形偏方程,无论是在均匀的各向同性和均匀的各向异性介质。在对模型进行校正后,利用该程序对西班牙Ayamonte-Huelva含水层进行了研究,对该含水层系统进行了初步分析,计算了该含水层系统的平均流量矢量及其均方根,作为该含水层系统流量的一次预测近似,为最佳开采位置提供了信号;长期目标是开发一套完整的地下水动力学分析计算工具。

英文摘要:

We present a model of groundwater dynamics under stationary flow and governed by Darcy's Law of water motion through porous media, we apply it to study a 2D aquifer with water table of constant slope comprised of an homogeneous and isotropic media, the more realistic case of an homogeneous anisotropic soil is also considered. Taking into account some geophysical parameters we develop a computational routine, in the Finite Difference Method, that solves the resulting elliptic partial equation, both in a homogeneous isotropic and homogeneous anisotropic media. After calibration of the numerical model, this routine is used to begin a study of the Ayamonte-Huelva aquifer in Spain, a modest analysis of the system is given, we compute the average discharge vector as well as its root mean square as a first predictive approximation of the flux in this system, providing us a signal of the location of best exploitation; long term goal is to develop a complete computational tool for the analysis of groundwater dynamics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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