Section 21
Chapter 20,096

Stochastic analysis of nonstationary subsurface solute transport; 1, Unconditional moments

Graham Wendy; McLaughlin Dennis

Water Resources Research 25(2): 215-232


ISSN/ISBN: 0043-1397
DOI: 10.1029/wr025i002p00215
Accession: 020095678

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Partial differential equations for three unconditional ensemble moments (the concentration mean, concentration covariance, and velocity concentration cross covariance) are derived by applying perturbation techniques to the governing transport equation for a conservative solute. Concentration uncertainty is assumed to be the results of unmodeled small-scale fluctuations in a steady-state velocity field. The moment expressions, which describe how each moment evolves over time and space, resemble the classic deterministic advection-dispersion equation and can be solved using similar methods. A solution procedure based on a Galerkin finite element algorithm is illustrated with a hypothetical two-dimensional example.

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