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Estimation of groundwater flow parameters using least squares. (English) Zbl 1185.76821
Summary: We present several variations on the least squares approach of estimating steady-state flow parameters in a groundwater model. We test the approach on numerically generated data, and also apply it to field data from the MADE (MAcro Dispersion Experiment) data set obtained at Columbus AFB, Mississippi. Our results are based on a least squares cost functional with a finite difference scheme used to solve the steady-state flow equation (Darcy’s Law). An implicit filtering optimization algorithm is implemented in parallel using PVM.

MSC:
76M20 Finite difference methods applied to problems in fluid mechanics
76S05 Flows in porous media; filtration; seepage
86A05 Hydrology, hydrography, oceanography
62F05 Asymptotic properties of parametric tests
Software:
PVM
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References:
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