The Analytic Element Method for rectangular gridded domains, benchmark comparisons and application to the High Plains Aquifer

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dc.contributor.author Steward, David R.
dc.contributor.author Allen, Andrew J.
dc.date.accessioned 2014-03-17T20:06:44Z
dc.date.available 2014-03-17T20:06:44Z
dc.date.issued 2014-03-17
dc.identifier.uri http://hdl.handle.net/2097/17232
dc.description.abstract Groundwater studies face computational limitations when providing local detail (such as well drawdown) within regional models. We adapt the Analytic Element Method (AEM) to extend separation of variable solutions for a rectangle to domains composed of multiple interconnected rectangular elements. Each rectangle contains a series solution that satisfies the governing equations and coefficients are adjusted to match boundary conditions at the edge of the domain and continuity conditions across adjacent rectangles. A complete mathematical implementation is presented including matrices to solve boundary and continuity conditions. This approach gathers the mathematical functions associated with head and velocity within a small set of functions for each rectangle, enabling fast computation of these variables. Benchmark studies verify that conservation of mass and energy conditions are accurately satisfied using a method of images solution, and also develop a solution for heterogeneous hydraulic conductivity with log normal distribution. A case study illustrates that the methods are capable of modeling local detail within a large-scale regional model of the High Plains Aquifer in the central USA and reports the numerical costs associated with increasing resolution, where use is made of GIS datasets for thousands of rectangular elements each with unique geologic and hydrologic properties, Methods are applicable to interconnected rectangular domains in other fields of study such as heat conduction, electrical conduction, and unsaturated groundwater flow. en_US
dc.language.iso en_US en_US
dc.relation.uri http://www.sciencedirect.com/science/article/pii/S0309170813001243 en_US
dc.subject Analytic Element Method en_US
dc.subject Separation of variables en_US
dc.subject Laplace equation en_US
dc.subject Groundwater en_US
dc.subject Heterogeneity en_US
dc.subject High Plains Aquifer en_US
dc.title The Analytic Element Method for rectangular gridded domains, benchmark comparisons and application to the High Plains Aquifer en_US
dc.type Article (publisher version) en_US
dc.date.published 2013 en_US
dc.citation.doi doi:10.1016/j.advwatres.2013.07.009 en_US
dc.citation.epage 99 en_US
dc.citation.jtitle Advances in Water Resources en_US
dc.citation.spage 89 en_US
dc.citation.volume 60 en_US
dc.contributor.authoreid steward en_US


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