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Stochastic models of subsurface flow: Log linearized Gaussian models are “exact” for covariances
Author(s) -
Gutjahr Allan
Publication year - 1984
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr020i012p01909
Subject(s) - covariance , gaussian , flow (mathematics) , mathematics , stochastic modelling , covariance function , variance (accounting) , statistical physics , statistics , physics , geometry , accounting , quantum mechanics , business
Stochastic solutions for steady state infinite domain flow models are studied under the assumptions that log conductivity and head are second‐order stationary jointly Gaussian processes. It is shown that the covariance relationships previously derived are exact solutions for the nonlinearized equations no matter how large the input variance is.