A geostatistically based inverse model for three-dimensional variably saturated flow |
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| Authors: | Debra L Hughson and T-C Jim Yeh |
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| Institution: | (1) Department of Hydrology and Water Resources, The University of Arizona, |
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| Abstract: | We present a geostatistically based inverse model for characterizing heterogeneity in parameters of unsaturated hydraulic
conductivity for three-dimensional flow. Pressure and moisture content are related to perturbations in hydraulic parameters
through cross-covariances, which are calculated to first-order. Sensitivities needed for covariance calculations are derived
using the adjoint state sensitivity method. Approximations of the conditional mean parameter fields are then obtained from
the cokriging estimator. Correlation between parameters and pressure – moisture content perturbations is seen to be strongly
dependent on mean pressure or moisture content. High correlation between parameters and pressure data was obtained under saturated
or near saturated flow conditions, providing accurate estimation of saturated hydraulic conductivity, while moisture content
measurements provided accurate estimation of the pore size distribution parameter under unsaturated flow conditions. |
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