A technique for the calculation of evaporation from the soil surface based on moisture profiles
- Authors: Zasukhin S.V.1,2
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Affiliations:
- Dorodnicyn Computing Center, Federal Research Center Computer Science and Control
- Moscow Institute of Physics and Technology
- Issue: Vol 56, No 3 (2017)
- Pages: 420-433
- Section: Systems Analysis and Operations Research
- URL: https://journals.rcsi.science/1064-2307/article/view/219894
- DOI: https://doi.org/10.1134/S1064230717030145
- ID: 219894
Cite item
Abstract
The problem of calculating the evaporation from the soil surface is formulated as an optimal control problem. The controlled process of the vertical water transfer in soil is described by a onedimensional nonlinear second-order parabolic partial differential equation. The objective function is the squared Euclidean distance between the calculated values of the soil moisture at various depths and certain prescribed values. To improve the efficiency of finding a numerical solution, the sensitivity of the soil moisture at various depths to the variations of evaporation is estimated by means of fast automatic differentiation. The analysis of these estimates made it possible to determine an effective thin subsurface soil layer in which the moisture is most sensitive to the variations of evaporation; it is in this soil layer where the objective function should be calculated.
About the authors
S. V. Zasukhin
Dorodnicyn Computing Center, Federal Research Center Computer Science and Control; Moscow Institute of Physics and Technology
Author for correspondence.
Email: s.zasukhin@yandex.ru
Russian Federation, Moscow, 119333; Dolgoprudnyi, Moscow oblast, 141700
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