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Laplace Transform Analytic Element Method

 

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The Laplace transform analytic element method (LT-AEM), applies the traditionally steady-state analytic element method (AEM) to the Laplace-transformed diffusion equation (Furman and Neuman, 2003). This strategy preserves the accuracy and elegance of the AEM while extending the method to transient phenomena. The approach taken here utilizes eigenfunction expansion to derive analytic solutions to the modified Helmholtz equation, then back-transforms the LT-AEM results with a numerical inverse Laplace transform algorithm. The two-dimensional elements derived here include the point, circle, line segment, ellipse, and infinite line, corresponding to polar, elliptical and Cartesian coordinates. Each element is derived for the simplest useful case, an impulse response due to a confined, transient, single-aquifer source. The extension of these elements to include effects due to leaky, unconfined, multi-aquifer, wellbore storage, and inertia is shown for a few simple elements (point and line), with ready extension to other elements. General temporal behavior is achieved using convolution between these impulse and general time functions; convolution allows the spatial and temporal components of an element to be handled independently.

Product Specifications
SKU :COC99685
AuthorKristopher Kuhlman
LanguageEnglish
BindingPaperback
Number of Pages172
Publishing Year2011-09-02T00:00:00.000
ISBN978-3639074314
Edition1 st
Book TypeGeology & the lithosphere
Country of ManufactureIndia
Product BrandNot defined
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-08-18 00:00:00
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