Analytic Element Ground Water Modeling as a Research Program (1980 to 2006)

Kraemer, Stephen R.

doi:10.1111/j.1745-6584.2007.00314.x

Cited by 14 publications

(9 citation statements)

References 24 publications

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“…This AE model simulates steady‐state flow in a single heterogeneous aquifer using the Dupuit‐Forchheimer assumptions. The AE method is useful in describing regional‐scale groundwater flow with local refinements such as surface flow features, wells, recharge zones, and discontinuities in aquifer thickness and hydraulic conductivities (Strack, ; Hunt, ; Kraemer, ). The method generates a continuous groundwater flow field by the superposition of closed‐form analytical functions (AEs) which describe each feature individually to obtain a full description of the area of interest.…”

Section: Model Descriptionmentioning

confidence: 99%

A low‐dimensional hillslope‐based catchment model for layered groundwater flow

Broda

Larocque

Paniconi

et al. 2011

Hydrological Processes

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Abstract:Despite the strong interaction between surface and subsurface waters, groundwater flow representation is often oversimplified in hydrological models. For instance, the interplay between local or shallow aquifers and deeper regional-scale aquifers is typically neglected. In this work, a novel hillslope-based catchment model for the simulation of combined shallow and deep groundwater flow is presented. The model consists of the hillslope-storage Boussinesq (hsB) model representing shallow groundwater flow and an analytic element (AE) model representing deep regional groundwater flow. The component models are iteratively coupled via a leakage term based on Darcy's law, representing delayed recharge to the regional aquifer through a low conductivity layer. Simulations on synthetic single hillslopes and on a two-hillslope open-book catchment are presented, and the results are compared against a benchmark three-dimensional Richards equation model. The impact of hydraulic conductivity, hillslope plan geometry (uniform, convergent, divergent), and hillslope inclination (0.2%, 5%, and 30%) under drainage and recharge conditions are examined. On the single hillslopes, good matches for heads, hydrographs, and exchange fluxes are generally obtained, with the most significant differences in outflows and heads observed for the 30% slope and for hillslopes with convergent geometry. On the open-book catchment, cumulative outflows are overestimated by 1-4%. Heads in the confined and unconfined aquifers are adequately reproduced throughout the catchment, whereas exchange fluxes are found to be very sensitive to the hillslope drainable porosity. The new model is highly efficient computationally compared to the benchmark model. The coupled hsB/AE model represents an alternative to commonly used groundwater flow representations in hydrological models, of particular appeal when surface-subsurface exchanges, local aquifer-regional aquifer interactions, and low flows play a key role in a watershed's dynamics.

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Section: Model Descriptionmentioning

confidence: 99%

A low‐dimensional hillslope‐based catchment model for layered groundwater flow

Broda

Larocque

Paniconi

et al. 2011

Hydrological Processes

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“…The AEM is a highly efficient computational method based on the superposition of analytic expressions to represent any two-or three-dimensional vector field (Kraemer 2003). The method was first introduced by Strack et al (1980) at the University of Minnesota, USA, and later Haitjema (1995) developed it in more detail, applying it to several practical situations.…”

Section: Analytic Element Methodsmentioning

confidence: 99%

Aquifer vulnerability assessments using DRASTIC, Weights of Evidence and the Analytic Element Method

Abbasi

Mohammadi

Kholghi

et al. 2013

Hydrological Sciences Journal

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In arid and semi-arid regions of the world, sustainable social-economic development relies almost exclusively on the availability of good quality groundwater. Pro-active management of these resources is vital, and reliable assessments of aquifer vulnerability are an important component of the overall management plan. In southwest Iran, the universally popular DRASTIC method of vulnerability assessment was implemented using the Analytic Element Method (AEM) to determine the "depth to water" input parameter, and compared to vulnerability assessments obtained using the standard DRASTIC approach. Vulnerability maps were also prepared through statistical analysis of aquifer characteristics and water quality data using the Weights of Evidence (WoE) approach. A comparison of the four vulnerability maps produced for the region showed DRASTIC, with and without AEM refinement, to be a reliable method of vulnerability assessment. The AEM proved to be a valuable means of estimating the depth to water input parameter when well data are severely limited.Key words groundwater protection; vulnerability assessment; DRASTIC; analytic element method; weight of evidence Evaluation de la vulnérabilité des aquifères à l'aide de DRASTIC, de la méthode de pondération des preuves et de la méthode des éléments analytiques Résumé Dans les régions arides et semi-arides du monde, le développement socio-économique durable repose presque exclusivement sur la disponibilité d'eaux souterraines de bonne qualité. La gestion proactive de ces ressources est vitale, et des évaluations fiables de la vulnérabilité des aquifères sont nécessaires à tout plan de gestion globale. Au Sud-Ouest de l'Iran, la méthode classique DRASTIC d'évaluation de la vulnérabilité a été mise en oeuvre en utilisant la méthode des éléments analytiques (MEA) pour déterminer la variable d'entrée « profondeur de l'eau », et comparée à des évaluations de vulnérabilité obtenues à l'aide de l'approche DRASTIC standard. Des cartes de vulnérabilité ont également été réalisées par analyse statistique des caractéristiques de l'aquifère et des données de qualité de l'eau, en utilisant la méthode de pondération des preuves. Une comparaison des quatre cartes de vulnérabilité produites pour la région a montré que DRASTIC, avec et sans raffinement MEA, est une méthode fiable d'évaluation de la vulnérabilité. La MEA s'est avérée être un précieux moyen d'estimation de la variable d'entrée « profondeur de l'eau » lorsque les données de puits sont très limitées.

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“…However, analytic element models were not then, and are not now, as widely used as finite‐difference or finite‐element models. This has been attributed in part to their relative youth, having followed these other techniques by ∼10 years (Kraemer 2004). Because of the recent nature of the method, it is somewhat premature to attempt a literature review that describes its full capabilities and limitations.…”

Section: Introductionmentioning

confidence: 99%

“…Because of the recent nature of the method, it is somewhat premature to attempt a literature review that describes its full capabilities and limitations. Nevertheless, analytic element models have been used to solve a wide variety of hydrologic problems, and the number of publications continues to increase (Kraemer 2004). Previous overviews and reviews of the analytic element method (Strack 1989;Haitjema 1995a;Strack 1999Strack , 2003bKraemer 2004) have focused primarily on mathematical theory.…”

Section: Introductionmentioning

confidence: 99%

“…Nevertheless, analytic element models have been used to solve a wide variety of hydrologic problems, and the number of publications continues to increase (Kraemer 2004). Previous overviews and reviews of the analytic element method (Strack 1989;Haitjema 1995a;Strack 1999Strack , 2003bKraemer 2004) have focused primarily on mathematical theory. A review that focuses primarily on how the method was applied to solve real world ground water problems currently is not found in the literature.…”

Section: Introductionmentioning

confidence: 99%

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Ground Water Modeling Applications Using the Analytic Element Method

Hunt

2006

Groundwater

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Though powerful and easy to use, applications of the analytic element method are not as widespread as finite-difference or finite-element models due in part to their relative youth. Although reviews that focus primarily on the mathematical development of the method have appeared in the literature, a systematic review of applications of the method is not available. An overview of the general types of applications of analytic elements in ground water modeling is provided in this paper. While not fully encompassing, the applications described here cover areas where the method has been historically applied (regional, two-dimensional steady-state models, analyses of ground water-surface water interaction, quick analyses and screening models, wellhead protection studies) as well as more recent applications (grid sensitivity analyses, estimating effective conductivity and dispersion in highly heterogeneous systems). The review of applications also illustrates areas where more method development is needed (three-dimensional and transient simulations).

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Analytic Element Ground Water Modeling as a Research Program (1980 to 2006)

Cited by 14 publications

References 24 publications

A low‐dimensional hillslope‐based catchment model for layered groundwater flow

A low‐dimensional hillslope‐based catchment model for layered groundwater flow

Aquifer vulnerability assessments using DRASTIC, Weights of Evidence and the Analytic Element Method

Ground Water Modeling Applications Using the Analytic Element Method

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