Abstract
This paper presents a comparison of a L 1 estimator and a L 2 estimator in solving groundwater parameter estimation problems. Posterior statistical inferences are investigated. The simulation model employed is a finite element model for steady state groundwater flow and solute transport in a two-dimensional vertically integrated aquifer system. The parameters considered are the hydraulic conductivities, the dispersivities, the porosities of the aquifer system, and the solute source concentration(s). The sensitivities of the state variables to the parameters are computed by using a sensitivity equation method. A few solutions to a hypothetical problem are presented to illustrate the L 1 and L 2 probabilistic characterizations of the various parameters.
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© 1994 Springer Science+Business Media Dordrecht
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Xiang, Y., Thomson, N.R., Sykes, J.F. (1994). L1 and L2 Estimators in Groundwater Problems: Parameter Estimates and Covariances. In: Hipel, K.W. (eds) Stochastic and Statistical Methods in Hydrology and Environmental Engineering. Water Science and Technology Library, vol 10/4. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1072-3_13
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DOI: https://doi.org/10.1007/978-94-011-1072-3_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4467-7
Online ISBN: 978-94-011-1072-3
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