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Cite Details

X. Sanchez-Vila and D. M. Tartakovsky, "Ergodicity of pumping tests", Water Resour. Res., vol. 43, doi:10.1029/2006WR005241, pp. W03414, 2007


Standard interpretations of pumping tests in heterogeneous formations rely on effective representations of porous media, which replace spatially varying hydraulic properties with their constant counterparts averaged over the support volume of a test. Rigorous approaches for deriving representative (effective, apparent, upscaled, etc.) parameters employ either ensemble or spatial averaging. We derive a set of conditions (conditions for the ergodicity of pumping tests) under which these two paradigms yield identical results. This allows one to use stochastic approaches to estimate the statistics of the spatial variability of hydraulic parameters on scales smaller than the support volume of a pumping test.

BibTeX Entry

author = {X. Sanchez-Vila and D. M. Tartakovsky},
title = {Ergodicity of pumping tests},
year = {2007},
urlpdf = {},
journal = {Water Resour. Res.},
volume = {43},
doi = {10.1029/2006WR005241},
pages = {W03414}