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ENCIT 2020
18th Brazilian Congress of Thermal Sciences and Engineering
SOLUTION OF THE RICHARDS EQUATION IN A SOIL PROFILE WITH TWO LAYERS USING THE METHOD OF LINES
Submission Author:
Diego Sousa Lopes , PA , Brazil
Co-Authors:
Diego Sousa Lopes, Augusto Cezar Cordeiro Jardim, Diego Estumano, Emanuel Macêdo, João Quaresma
Presenter: Diego Sousa Lopes
doi://10.26678/ABCM.ENCIT2020.CIT20-0477
Abstract
This work aims to solve the Richards Equation for the unidirectional flow of water through horizontal layers, using a single domain approach. We propose a mathematical formulation in which a transition function is introduced between the layers to smooth the discontinuity present in the interface. The Method of Lines (MOL), together with the Finite Volume Method (FVM), is used to solve the problem. The verification of the obtained solution was accomplished through the comparison with those results of Srivastava and Yeh (1991). In all the studied cases, we performed convergence analyses, and numerical experiments were carried out to analyze the influences of the parameter Ks, the saturated hydraulic conductivity. The results show a good agreement with the values obtained in the literature. The model for water content through the single domain approach can deal with the discontinuity at the interface, and that the proposed transition function was adequate to solve the problem.
Keywords
method of lines, Richards Equation, layered soils
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