Open AccessAn Inverse Problem Approach for the Estimation of the Haverkamp and van Genuchten Retention Curves Parameters with the Luus-Jaakola Method
Author(s) -
Fábio Ferreira,
Marcelo de Oliveira Temperini,
Wagner Rambaldi Telles,
Gustavo Bastos Lyra,
Antônio José da Silva Neto
Publication year - 2021
Publication title -
trends in computational and applied mathematics
Language(s) - English
Resource type - Journals
ISSN - 2676-0029
DOI - 10.5540/tcam.2021.022.02.00265
Subject(s) - richards equation , mathematics , inverse problem , inverse , partial differential equation , nonlinear system , work (physics) , sensitivity (control systems) , water content , mathematical analysis , geotechnical engineering , geology , geometry , thermodynamics , physics , quantum mechanics , electronic engineering , engineering
In academia, the study of the movement of water in the ground has been widespread since the last century. The same can be determined using the Richards equation. This is a nonlinear parabolic partial differential equation that requires parameters to generate the results of the problem. Some authors have proposed equations that represent the relationship between volumetric moisture and soil water potential, such as Haverkamp and van Genuchten. As main objective of this work, the inverse modeling was implemented to obtain the Richards equation parameters, applying the Luus-Jaakola method. To verify the mathematical model, a sensitivity analysis was performed, which allowed the observation of the effect that each parameter has on the output data, implying a linear dependence. The results produced proved to be satisfactory for the problem analyzed in our research.