NDLI: A fast flux tube-based method for solute-transport simulation

Content Provider	Springer Nature Link
Author	Atteia, Olivier Huberson, Serge Dupuy, Alain
Copyright Year	2010
Abstract	A new method to calculate the transport of dissolved species in aquifers is presented. This approach is an extension of the stream tubes which are used for flow computation. The flux tubes defined here are conservative for solutes, but not for water mass. The flux tubes are first defined in a general domain and then calculated in a two-dimensional uniform flow field. The tubes’ computation is based on a parametric solution. The method is extended further in order to deal with heterogeneous media. A particle-tracking algorithm is used where the deviation of the flux-tube boundaries due to dispersion is accounted for. The approximate solution obtained by this approach is compared to classical numerical solutions given by a finite difference code (RT3D) and a finite element code (FEFLOW). This comparison was performed for several test cases with increasing complexity. The differences between the flux-tube approach and the other methods always remain small, even regarding mass conservation. The major advantage of the flux-tube approach is the ability to reach a solution quickly, as the method is hundreds to thousands of times faster than classical finite difference or finite element models.Une nouvelle méthode de calcul du transport de solutés dans les aquifères est présentée. Cette approche est une extension des tubes de courant utilisés pour le calcul de flux. Les tubes de courant définis ici sont conservatifs pour les solutés, mais pas pour la masse d’eau. Les tubes de courant sont d’abord définis de façon générale puis paramétrés pour un champ d’écoulement bidimensionnel uniforme. Le calcul du tube est basé sur une solution paramétrique. La méthode est développée afin d’être compatible avec des milieux hétérogènes. Un algorithme de suivi de particule est utilisé pour tenir compte de la déviation due à la dispersion en limite de tube de courant. La solution approchée obtenue par cette méthode est comparée aux solutions classiques obtenues par différence finie (code RT3D) et par élément fini (code FEFLOW). Cette comparaison a été réalisée sur plusieurs cas tests de complexité croissante. Les différences entre l’approche par tubes de courant et les autres méthodes restent toujours petites, même s’agissant de la conservation de masse. L’avantage majeur de l’approche par tube de courant est sa capacité de fournir une solution des centaines à des milliers de fois plus rapidement que les modèles classiques par différence finie ou par élément fini.Se presenta un nuevo método para calcular el transporte de especies disueltas en acuífero. Esta aproximación es una extensión de los tubos de corriente que son usados para el cálculo de flujo. Los tubos de flujo definidos aquí son conservativos para los solutos, pero no para la masa de agua. Los tubos de flujo son definidos primero en un dominio general y luego calculados en un campo de flujo uniforme bidimensional, El cálculo de los tubos está basado en una solución paramétrica. El método se extiende ulteriormente para tratar un medio heterogéneo. Se usa un algoritmo para el seguimiento de una partícula donde se explica la desviación de los límites del tubo de flujo debido a la dispersión. La solución aproximada obtenida por esta aproximación se compara con las soluciones numéricas clásicas dada por el código de diferencias finitas. (RT3D) y el código de elementos finitos (FEFLOW). Esta comparación fue realizada para varios casos de prueba con una complejidad creciente. Las diferencias entre la aproximación de los tubos de flujo y los otros métodos desde siempre permanece pequeña aún teniendo en cuenta la conservación de la masa. La ventaja mayor de la aproximación del tubo de flujo es la habilidad de alcanzar una solución rápidamente, dado que el método es cientos de miles de veces más rápido que los clásicos métodos de elementos finitos o diferencias finitas.本文介绍含水层中溶解物种运移的一种新的计算方法。该方法是流量计算中的流管法的扩展。这里定义的通量管是溶质不变, 而不是水量守恒。首先在一个广义域上定义通量管, 然后在一个二维均一水流场中计算。管道的计算是基于参变量的溶解。为了处理非均质介质进一步对方法进行扩展。当通量管边界上存在由于弥散导致的偏差时采用粒子跟踪算法。将该方法得到近似解同有限差分程序 (ΡΤ3Δ) 和有限元程序 (ΦΕΦΛΟΩ) 给出的经典数值解进行对比。按照复杂性的增长进行了数次对比。即使考虑水量均衡, 通量管方法同其他方法的偏差都很小。通量管方法的主要优点是其快速求解能力。该方法相比传统的有限差分或有限元模型要快几百到数千倍。É apresentado um novo método para calcular o transporte de espécies dissolvidas em aquíferos. Esta abordagem é uma extensão dos tubos de corrente que são utilizados no cálculo do fluxo. Os tubos de fluxo aqui definidos são conservativos para solutos, mas não para a massa de água. Os tubos de fluxo são inicialmente definidos num domínio geral e, em seguida, calculados num campo de fluxo uniforme bidimensional. O cálculo dos tubos é baseado numa solução paramétrica. O método é alargado, a fim de lidar com meios heterogéneos. Um algoritmo de rastreamento de partículas é utilizado quando é contabilizado o desvio dos limites do tubo de fluxo devido à dispersão. A solução aproximada obtida por esta abordagem é comparada com a clássica solução numérica dada por um código de diferenças finitas (RT3D) e um código de elementos finitos (FEFLOW). Esta comparação foi realizada para vários casos de teste com complexidade crescente. As diferenças entre a abordagem pelo método do tubo de fluxo e os outros métodos permanecem sempre pequenas, mesmo em termos de conservação da massa. A principal vantagem da abordagem pelo método do tubo de fluxo é a capacidade de chegar a uma solução rapidamente, pois o método é centenas a milhares de vezes mais rápido do que os métodos clássicos de diferenças finitas ou de elementos finitos.
Starting Page	317
Ending Page	328
Page Count	12
File Format	PDF
ISSN	14312174
Journal	Hydrogeology Journal
Volume Number	19
Issue Number	2
e-ISSN	14350157
Language	Portuguese
Publisher	Springer-Verlag
Publisher Date	2011-01-13
Publisher Institution	International Association of Hydrogeologists
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Analytical solutions Numerical modelling Solute transport Particle tracking Flux tubes 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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