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An Efficient Method for Inverse Modeling of Soil Evaporation: Rationale and Numerical Example

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Abstract

An initial–boundary value problem for the one-dimensional nonlinear parabolic second-order partial differential equation that describes water movement in soil is considered. The inverse problem is to restore a boundary condition (evaporation) based on the comparison of modeled values of soil moisture at various points with some prescribed values. A criterion of the proximity of the selected evaporation to its true value is the mean-square deviation of the prescribed values of soil moisture at various points from the simulated soil moisture values corresponding to the selected evaporation. A numerical solution of a discretized optimization problem is investigated. The cases of accurate and inaccurate data are considered. The results of the numerical experiments are analyzed.

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Authors and Affiliations

  1. Federal Research Center Computer Science and Control, Russian Academy of Sciences, 119333, Moscow, Russia

    S. V. Zasukhin

  2. Moscow Institute of Physics and Technology, 141701, Dolgoprudny, Russia

    S. V. Zasukhin

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Zasukhin, S.V. An Efficient Method for Inverse Modeling of Soil Evaporation: Rationale and Numerical Example. Water Resour 45 (Suppl 2), 110–118 (2018). https://doi.org/10.1134/S0097807818060301

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