NDLI: An element for modeling potential channel flows between impervious underground structures in an urban regional groundwater flow field

Content Provider	Springer Nature Link
Author	Luo, GuanYong Cao, Hong
Copyright Year	2011
Abstract	In an urban regional groundwater flow field, the presence of thousands of channels between impervious structures makes the field difficult to simulate using the finite-element method (FEM), because the scale of the field is usually several orders of magnitude larger than that of the channels. To overcome this problem, a simple element for the simulation of potential channel flows has been developed. This element works with linear triangular elements and can be easily implemented in a finite-element code to simulate the channel flows with a sparse mesh without a loss of global accuracy. The transmissivity matrix of this element is deduced from the analytical solution for channel flow. The application of the element is discussed, and the accuracy of the element is assessed. The element makes it easy to merge small structures that are close to each other into a larger one that can be modeled with a sparse mesh.Dans un champ d’écoulement de nappe régionale en milieu urbain, la présence de milliers de chenaux entre des structures imperméables rend le terrain difficile pour une simulation utilisant la méthode des éléments finis (FEM) car l’ordre de grandeur du terrain est généralement plusieurs fois celui des chenaux. Pour surmonter ce problème, un élément simple pour la simulation des flux en chenaux potentiels a été développé. Cet élément fonctionne avec des éléments triangulaires et peut être facilement incorporé dans un code à éléments finis pour simuler les flux en chenaux à maille lâche sans perte de précision globale. La matrice de transmissivité de cet élément est déduite de la solution analytique d’un écoulement en chenal. L’application de l’élément est discutée, et la précision de l’élément est évaluée. L’élément rend facile la fusion de petites structures proches les unes des autres en une structure plus large qui peut être modélisée avec une maillage lâche.En un campo de flujo de agua subterránea urbano regional, la presencia de miles de canales entre estructuras impermeables hace que sea difícil simular el campo usando el método de elementos finitos (FEM), debido a que la escala del campo es usualmente varios órdenes de magnitud más grande que la de los canales. Para superar este problema, se ha desarrollado un elemento simple para la simulación de flujos potenciales en canales. Este elemento trabaja con elementos triangulares lineares y puede ser fácilmente implementado en un programa de elementos finitos para simular los flujos en canales con una malla escasa sin una pérdida de exactitud global. La matriz de transmisividad de este elemento se deduce a partir de la solución analítica para el flujo en canales. Se discute la aplicación del elemento, y se evalúa su exactitud. El elemento facilita el mezclado de pequeñas estructuras que están cerca una de otra en una estructura mayor que pueda ser modelada con una malla escasa.在一个城市区域地下水流场中,存在于防渗地下结构间的若干管道增大了使用有限元(FEM)法模拟流场的难度,因为流场的规模通常比管道大几个数量级。为了克服这一困难,本文提出一个处理管道流的简单方法。该法与线性三角元共同使用,可以通过粗网格容易地在有限元代码应用中模拟管道流,且不损失总精度。导水系数矩阵从管道流的解析解中导出。本文讨论了该方法的应用,以及对该法的准确性进行评估。该法容易将彼此靠近的小结构整合到一起形成相对大的结构,从而通过粗网格进行模拟。Num campo de fluxo regional urbano de água subterrânea, a presença de milhares de canais entre estruturas impermeáveis torna a sua simulação com o método de elementos finitos (FEM) difícil, uma vez que a escala do campo é geralmente várias ordens de magnitude superior à dos canais. Para superar este problema, foi desenvolvido um elemento simples para a simulação de potenciais fluxos em canal. Este elemento trabalha com elementos triangulares lineares e pode ser facilmente implementado num código de elementos finitos para a simulação dos fluxos em canal com uma malha pouco densa, sem perder a precisão global. A matriz de transmissividade deste elemento é deduzida a partir da solução analítica para o fluxo em canal. Discute-se aqui a aplicação do elemento, e avalia-se a sua precisão. O elemento facilita a fusão de pequenas estruturas que se encontram próximas numa maior, a qual pode ser modelada com uma malha pouco densa.
Starting Page	313
Ending Page	323
Page Count	11
File Format	PDF
ISSN	14312174
Journal	Hydrogeology Journal
Volume Number	20
Issue Number	2
e-ISSN	14350157
Language	Portuguese
Publisher	Springer-Verlag
Publisher Date	2011-12-07
Publisher Institution	International Association of Hydrogeologists
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Seepage Channel flow Numerical modeling Urban groundwater Finite-element method Waste Water Technology Water Pollution Control Water Management Aquatic Pollution Geology Hydrogeology
Content Type	Text
Resource Type	Article
Subject	Earth and Planetary Sciences Water Science and Technology

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