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Cite Details

D. M. Tartakovsky and I. Mitkov, "Some aspects of head-variance evaluation", Comp. Geosci., vol. 3, no. 1, pp. 89-92, 1999


We compare two methods of evaluating head covariance for two-dimensional steady-state flow in mildly heterogeneous bounded rectangular aquifers. The quasi-analytical approach, widely used in stochastic subsurface hydrology, is based on the Green s function representation, and involves numerical four-fold integration. We compare this approach with a numerical solution of the two-dimensional boundary-value problem for head covariance. We show that the finite differences integration of this problem is computationally less expensive than numerical four-fold integration of slowly-convergent infinite series.

BibTeX Entry

author = {D. M. Tartakovsky and I. Mitkov},
title = {Some aspects of head-variance evaluation},
year = {1999},
urlpdf = {http://math.lanl.gov/~dmt/papers/compgeo99.pdf},
journal = {Comp. Geosci.},
volume = {3},
number = {1},
pages = {89-92}