Regression modeling of ground-water flow

Cooley, Richard L.; Naff, R. L.

doi:10.3133/ofr85180

Cited by 96 publications

(123 citation statements)

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“…This model uses the iterative modified GaussNewton nonlinear regression method [Cooley and Naff, 1990;Hill, 1992] …”

Section: Parameter-estimation Modelmentioning

confidence: 99%

A new multistage groundwater transport inverse method: presentation, evaluation, and implications

Anderman¹,

Hill²

1999

Water Resources Research

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Abstract. More computationally efficient methods of using concentration data are needed to estimate groundwater flow and transport parameters. This work introduces and evaluates a three-stage nonlinear-regression-based iterative procedure in which trial advective-front locations link decoupled flow and transport models. Method accuracy and efficiency are evaluated by comparing results to those obtained when flow-and transportmodel parameters are estimated simultaneously. The new method is evaluated as conclusively as possible by using a simple test case that includes distinct flow and transport parameters, but does not include any approximations that are problem dependent. The test case is analytical; the only flow parameter is a constant velocity, and the transport parameters are longitudinal and transverse dispersivity. Any difficulties detected using the new method in this ideal situation are likely to be exacerbated in practical problems. Monte-Carlo analysis of observation error ensures that no specific error realization obscures the results. Results indicate that, while this, and probably other, multistage methods do not always produce optimal parameter estimates, the computational advantage may make them useful in some circumstances, perhaps as a precursor to using a simultaneous method.

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“…This model uses the iterative modified GaussNewton nonlinear regression method [Cooley and Naff, 1990;Hill, 1992] …”

Section: Parameter-estimation Modelmentioning

confidence: 99%

A new multistage groundwater transport inverse method: presentation, evaluation, and implications

Anderman¹,

Hill²

1999

Water Resources Research

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show abstract

“…The minimization of the objective function (eq. 3) is performed by the modified Gauss-Newton method (Cooley and Naff, 1990;Hill, 1992).…”

Section: Nonlinear Regression Methodsmentioning

confidence: 99%

Use of environmental tracers to estimate parameters for a predevelopment-ground-water-flow model of the Middle Rio Grande Basin, New Mexico

Sanford¹,

Plummer²,

McAda³

et al. 2004

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“…Groundwater flow model validity can be judged by evaluation of the lack of bias in the weighted residuals (Draper and Smith 198 1 ;Cooley and Naff 1990). There are three plots that are useful in determining the randomness of the weighted residuals: (1) distribution of weighted residuals relative to weighted simulated values, (2) spatial distribution of weighted residuals, and (3) normal probability plot of weighted residuals.…”

Section: Analysis Of Weighted Residualsmentioning

confidence: 99%

Calibration of the Site-Scale Saturated Zone Flow Model

Zyvoloski¹

2001

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Regression modeling of ground-water flow

Cited by 96 publications

References 0 publications

A new multistage groundwater transport inverse method: presentation, evaluation, and implications

A new multistage groundwater transport inverse method: presentation, evaluation, and implications

Use of environmental tracers to estimate parameters for a predevelopment-ground-water-flow model of the Middle Rio Grande Basin, New Mexico

Calibration of the Site-Scale Saturated Zone Flow Model

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