A distributed parameter approach for evaluating the accuracy of groundwater model predictions: 2. Application to groundwater flow

Dennis McLaughlin, Eric F. Wood

Research output: Contribution to journalArticle

37 Scopus citations

Abstract

The distributed parameter theory presented by McLaughlin and Wood (this issue) is used to evaluate the accuracy of a groundwater flow model. The special case investigated assumes that the model's prediction errors are due primarily to data limitations. In this case, approximate prediction error moments (mean and covariance) are obtained by solving two sets of coupled partial differential equations which have the same basic structure as the original flow equation. Solutions can be obtained with spectral, Green's function, or numerical techniques, depending on the assumptions made. Two examples are solved using a finite element approach. The first (two‐dimensional) example confirms steady state infinite domain results obtained with spectral methods. The second (three‐dimensional) example investigates the influence of spatial variability, sampling strategy, and suboptimal estimation on model prediction accuracy.

Original languageEnglish (US)
Pages (from-to)1048-1060
Number of pages13
JournalWater Resources Research
Volume24
Issue number7
DOIs
StatePublished - Jan 1 1988

All Science Journal Classification (ASJC) codes

  • Water Science and Technology

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