Refinement and coarsening indicators for adaptive parameterization: application to the estimation of hydraulic transmissivities
نویسندگان
چکیده
When estimating hydraulic transmissivity the question of parameterization is of great importance. The transmissivity is assumed to be a piecewise constant space dependent function and the unknowns are both the transmissivity values and the zonation, the partition of the domain whose parts correspond to the zones where the transmissivity is constant. Refinement and coarsening indicators, which are easy to compute from the gradient of the least squares misfit function, are introduced to construct iteratively the zonation and to prevent overparameterization.
منابع مشابه
Refinement and Coarsening of Parameterization for the Estimation of Hydraulic Transmissivity
This paper deals with parameterization of hydraulic transmissivity during its estimation. Estimating transmissivity is based on the minimization of an misfit function defined as a leastsquares misfit between measured data and the model output. The transmissivity is assumed to be a piecewise constant space dependent function. Refinement indicators, indicating the effect on the optimal data misfi...
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