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Review of Parameter Identification Procedures in Groundwater Hydrology: The Inverse Problem
Abstract
The purpose of this survey is to review parameter identification procedures in groundwater hydrology and to examine computational techniques which have been developed to solve the inverse problem. Parameter identification methods are classified under the error criterion used in the formulation of the inverse problem. The problem of ill‐posedness in connection with the inverse problem is addressed. Typical inverse solution techniques are highlighted. The review also includes the evaluation of methods used for computing the sensitivity matrix. Statistics which can be used to estimate the parameter uncertainty are outlined. Attempts have been made to compare and contrast representative inverse procedures, and direction for future research is suggested.
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Cites
A New Approach to Linear Filtering and Prediction Problems
Kalman, R. E. (1960) · Journal of Basic Engineering · doi:10.1115/1.3662552 · Cited by 31,751
An Algorithm for Least-Squares Estimation of Nonlinear Parameters
Marquardt, D. W. (1963) · Journal of the Society for Industrial and Applied Mathematics · doi:10.1137/0111030 · Cited by 30,728
Cited by
Estimating Uncertain Flow and Transport Parameters Using a Sequential Uncertainty Fitting Procedure
Abbaspour, K. C., Johnson, C. A., & van Genuchten, M. T. (2004) · Vadose Zone Journal · doi:10.2136/vzj2004.1340 · Cited by 1,153
On the value of soil moisture measurements in vadose zone hydrology: A review
Vereecken, H., Huisman, J. A., Bogena, H., Vanderborght, J., Vrugt, J. A., & Hopmans, J. W. (2008) · Water Resources Research · doi:10.1029/2008wr006829 · Cited by 872
A Reassessment of the Groundwater Inverse Problem
McLaughlin, D., & Townley, L. R. (1996) · Water Resources Research · doi:10.1029/96wr00160 · Cited by 561
Hanke, M. (1997) · Inverse Problems · doi:10.1088/0266-5611/13/1/007 · Cited by 403
Physically based modeling in catchment hydrology at 50: Survey and outlook
Paniconi, C., & Putti, M. (2015) · Water Resources Research · doi:10.1002/2015wr017780 · Cited by 374
Metadata
- Authors
- Yeh, W. W.
- Venue
- Water Resources Research
- Publisher
- American Geophysical Union (AGU)
- Published
- 1986-02
- Volume
- 22
- Issue
- 2
- Pages
- 95-108
- ISSN
- 0043-1397 (ISSN-L)
- 1944-7973
- OpenAlex
- W2163824141
- Cited by
- 1,150
- References
- 2
- FWCI
- 42.61
- Type
- journal article
- Language
- en
- Open access
- closed
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- Yeh, W. W. (1986). Review of Parameter Identification Procedures in Groundwater Hydrology: The Inverse Problem. Water Resources Research. https://doi.org/10.1029/wr022i002p00095
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
