An efficient numerical model for hydrodynamic parameterization in 2D fractured dual-porosity media
This paper presents a robust and efficient numerical model for the parameterization of the
hydrodynamic in fractured porous media. The developed model is based upon the
refinement indicators algorithm for adaptive multi-scale parameterization. For each level of
refinement, the Levenberg–Marquardt method is used to minimize the difference between
the measured and predicted data that are obtained by solving the direct problem with the
mixed finite element method. Sensitivities of state variables with respect to the parameters …
hydrodynamic in fractured porous media. The developed model is based upon the
refinement indicators algorithm for adaptive multi-scale parameterization. For each level of
refinement, the Levenberg–Marquardt method is used to minimize the difference between
the measured and predicted data that are obtained by solving the direct problem with the
mixed finite element method. Sensitivities of state variables with respect to the parameters …
Abstract
This paper presents a robust and efficient numerical model for the parameterization of the hydrodynamic in fractured porous media. The developed model is based upon the refinement indicators algorithm for adaptive multi-scale parameterization. For each level of refinement, the Levenberg–Marquardt method is used to minimize the difference between the measured and predicted data that are obtained by solving the direct problem with the mixed finite element method. Sensitivities of state variables with respect to the parameters are calculated by the sensitivity method. The adjoint-state method is used to calculate the local gradients of the objective function necessary for the computation of the refinement indicators. Validity and efficiency of the proposed model are demonstrated by means of several numerical experiments. The developed numerical model provides encouraging results, even for noisy data and/or with a reduced number of measured heads.
Elsevier
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