HR: 14:40h
AN: H23I-05 INVITED    [Abstracts]
TI: What use are Analytic Series Methods in Modern Groundwater Modelling?
AU: * Read, W W
EM: wayne.read@jcu.edu.au
AF: James Cook University, C/O maths, Physics & IT, Townsville, Qld 4811, Australia
AB: Analytic techniques used for seepage and infiltration problems are usually series solutions or conformal transformations. In the past, these classical techniques have been restricted to regular or transformable geometries and were superseded, to some extent, by numerical schemes such as finite element, boundary integral and more recently, analytic element methods. However, in contrast to the classical series approach, I have extended these methods to cater for arbitrary boundary shapes and steady water table (i.e., free boundary) problems, steady infiltration through arbitrary vadose zones and coupled saturated-unsaturated problems. In this paper, I will summarize some of the more significant results that I have obtained using these methods and discuss the inherent and practical advantages of an analytic solution. I will also discuss the range of problems that can be solved using these methods, their limitations and then compare them with their numerical counterparts.
DE: 1829 Groundwater hydrology
DE: 1832 Groundwater transport
DE: 1838 Infiltration
DE: 1875 Vadose zone
SC: Hydrology [H]
MN: 2007 Fall Meeting