HR: 15:25h
AN: H23I-08    [Abstracts]
TI: Transient Analytic Element Solutions for Flexible Aquifer Test Analyses
AU: * Kuhlman, K L
EM: kuhlman@hwr.arizona.edu
AF: University of Arizona, Department of Hydrology & Water Resources, 1133 East James E Rodgers Way, Tucson, AZ 85721, United States
AU: Neuman, S P
EM: neuman@hwr.arizona.edu
AF: University of Arizona, Department of Hydrology & Water Resources, 1133 East James E Rodgers Way, Tucson, AZ 85721, United States
AB: We present three extensions to the 2D Laplace transform analytic element method (LT-AEM), introduced by Furman and Neuman (2003), which exemplify the types of problems that are easily solved using the LT-AEM, and are useful for performing flexible aquifer test analyses. First, we give the equation for a simplified leaky aquifer- aquitard LT-AEM system, similar to that used by Hantush (1960); in this example the source term is proportional to the drawdown in the aquifer (dual-domain flow is another example). Secondly, we present an approximate unconfined integrodifferential equation, as initially proposed by Boulton (1954) and generalized by Herrera, et al (1978). This solution illustrates how problems defined by convolution integrals are easily handled using LT-AEM (leaky systems can also be represented using convolution integrals). Finally, we present a damped-wave generalization of the diffusion equation that arises from considering a more general form of Darcy's law. The effects of inertia in the aquifer can be considered and may be important near sources in very course materials (e.g., gravel packed envelopes surrounding pumping wells). This final example shows how higher-order time derivatives may be handled in a simple and elegant fashion using LT-AEM techniques; solving the wave equation is as straightforward as solving the diffusion equation in Laplace space. Each of the LT-AEM problems presented here can be solved using any developed LT-AEM element (e.g., point, line, or area sources) or any combination of them, with little modification to the method used to solve the standard diffusion equation.
DE: 1805 Computational hydrology
DE: 1828 Groundwater hydraulics
DE: 1829 Groundwater hydrology
DE: 1847 Modeling
SC: Hydrology [H]
MN: 2007 Fall Meeting