Abstract
In a given two-dimensional region, the hydraulic conductivity values are assumed to be log-normally distributed with first-order nearest-neighbour correlation. With a prescribed set of boundary conditions, the appropriate partial differential equations are solved numerically via finite element, finite difference, and random walk methods. This is repeated over a number of simulations of the conductivity values and the head, the variance, and the covariance structure obtained for the elements. The relative merits of the methods in terms of CPU time are examined. The results from the numerical methods are compared with the analogous analytical solution for a statistically homogeneous and isotropic media, and it is shown that the numerical and analytical methods give consistent solutions.
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© 1984 Springer-Verlag Berlin Heidelberg
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Virdee, T.S., Kottegoda, N.T. (1984). Finite Elements in Analysis of Effect of Stochastic Variability in Aquifer Conductivity on Hydraulic Head. In: Laible, J.P., Brebbia, C.A., Gray, W., Pinder, G. (eds) Finite Elements in Water Resources. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11744-6_7
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DOI: https://doi.org/10.1007/978-3-662-11744-6_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-11746-0
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