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Weighting of Observed Heads for the Inverse Problem
Author(s) -
Ross Benjamin
Publication year - 1984
Publication title -
groundwater
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.84
H-Index - 94
eISSN - 1745-6584
pISSN - 0017-467X
DOI - 10.1111/j.1745-6584.1984.tb01426.x
Subject(s) - weighting , inverse distance weighting , inverse , function (biology) , reliability (semiconductor) , statistics , a weighting , mathematics , inverse problem , algorithm , computer science , mathematical optimization , mathematical analysis , geometry , physics , quantum mechanics , evolutionary biology , acoustics , multivariate interpolation , bilinear interpolation , biology , power (physics)
In using least‐squares parameter estimation techniques to solve for hydrogeologic parameters, one may use a weighting function to reflect differing reliabilities of head measurements. In studies published to date, the weighting function has been used in an ad boc manner or not at all. The inverse square of the observed hydraulic gradient, adjusted to reflect the modeler's perception of geologic heterogeneity and data reliability, is typically an appropriate weighting function.