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Accueil du site → Doctorat → États-Unis → 2002 → Simultaneous inverse estimation of coupled water, heat, and solute transport parameters with model validation and predictive analysis : application to ground-water studies in arid and semi-arid regions of the United States

University of Minnesota (2002)

Simultaneous inverse estimation of coupled water, heat, and solute transport parameters with model validation and predictive analysis : application to ground-water studies in arid and semi-arid regions of the United States

Friedel Michael James

Titre : Simultaneous inverse estimation of coupled water, heat, and solute transport parameters with model validation and predictive analysis : application to ground-water studies in arid and semi-arid regions of the United States

Auteur : Michael James Friedel

Université de soutenance : University of Minnesota

Grade : Doctor of Philosophy (PhD) 2002

Résumé
A methodology for solving the coupled nonlinear transport inverse problem is presented for application to ground-water studies in arid and semi-arid regions of the United States. This inverse methodology allows the simultaneous estimation of parameters and predictive analysis of boundary fluxes associated with equations governing coupled water, solute, and heat transport. Central to this inverse methodology is the application of a robust nonlinear regression algorithm to a model developed for simulating transient, V[barbelow]ariably S[barbelow]aturated, coupled water-heat-solute T[barbelow]ransport in heterogeneous, anisotropic, 2[barbelow] D[barbelow]imensional, ground-water systems ( VST2D ). Prior to applying the inverse methodology, the VST2D model is verified and results presented for problems of water transport under isohaline and isothermal conditions, heat transport under isobaric and isohaline conditions, solute transport under isobaric and isothermal conditions. Application of the inverse methodology to estimate coupled water-heat-solute transport model parameters is demonstrated using actual steady-state laboratory, and transient synthetic laboratory and field measurements. Estimation of laboratory parameters uses moisture, temperature, and concentration measurements resulting from the application of a temperature gradient across an insulated horizontal moist and salinized soil column. Parameter estimation in the first field study uses various combinations of time-dependent boundary fluxes (water, heat, and solute) and subsurface state variables (moisture, temperature, and concentration) measured in a locally homogeneous soil following application of an infiltrometer at an Arizona mine tailings impoundment. By contrast, parameter estimation and model validation of the second field study model uses regularization and combinations of transient subsurface state variables (moisture, temperature, and concentration) measured in a heterogeneous system following artificially induced infiltration from wastewater return flow to an otherwise dry California stream. Examples of estimated parameters are for water : moisture retention coefficients, saturated hydraulic conductivity, saturated moisture content, residual moisture content ; heat : matrix fractions (sand or silt), sensible heat factor, thermal gain factor, thermal conductivity of silt, volumetric heat capacity of solids ; and solute : bulk density, decay coefficient, dispersivities (longitudinal and transverse), distribution coefficient, fractional organic carbon, radius of solute molecule, and specific surface area. Time dependent predictions of streambed infiltration and ground-water recharge are provided, and the effects of parameter nonuniqueness on predictive recharge uncertainty is explored.

Mots clés  : Coupled transport, Soil sciences, Solute transport, Hydrology, Groundwater, Earth sciences Biological sciences, Arid, Water, Heat transport

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Page publiée le 27 janvier 2012, mise à jour le 8 janvier 2017