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dc.contributor.authorBorges, Lucas Parreira de Faria-
dc.contributor.authorCavalcante, André Luís Brasil-
dc.contributor.authorOzelim, Luan Carlos de Sena Monteiro-
dc.date.accessioned2022-08-16T14:00:18Z-
dc.date.available2022-08-16T14:00:18Z-
dc.date.issued2022-
dc.identifier.citationBORGES, Lucas Parreira de Faria; CAVALCANTE, André Luís Brasil; OZELIM, Luan Carlos de Sena Monteiro. Order out of chaos in soil-water retention curves. Water, v. 14, n. 15, 2421, 2022. DOI: https://doi.org/10.3390/w14152421. Disponível em: https://www.mdpi.com/2073-4441/14/15/2421. Acesso em: 16 ago. 2022.pt_BR
dc.identifier.urihttps://repositorio.unb.br/handle/10482/44538-
dc.language.isoInglêspt_BR
dc.publisherMDPIpt_BR
dc.rightsAcesso Abertopt_BR
dc.titleOrder out of chaos in soil-water retention curvespt_BR
dc.typeArtigopt_BR
dc.subject.keywordRetenção de água no solopt_BR
dc.subject.keywordSolospt_BR
dc.rights.licenseLicensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/).pt_BR
dc.identifier.doihttps://doi.org/10.3390/w14152421pt_BR
dc.description.abstract1Water flow in porous media is one of many phenomena in nature that can demonstrate both simple and complex behaviors. A soil–water retention curve (SWRC) is needed to characterize this flow properly. This curve relates the soil water content and the matric potential (or porepressure), being fundamental for simulating unsaturated soil behaviors. This article proposes a new model based on simple assumptions regarding the saturated and unsaturated branches of soil–water retention curves. Despite its simplicity, the modeling capability of the proposed SWRC is shown for two types of soil. This new SWRC is obtained as a logistic function after solving an ordinary differential equation (ODE). This ODE can also be solved numerically using the Finite Difference Method (FDM), which indicates that the discrete version of the SWRC can be represented as the logistic map for specific parameters. On the other hand, this discrete representation is known to encompass chaotic and fractal behaviors. This link is used to investigate the stability and convergence of the FDM scheme, indicating that for values pre-bifurcation, both the FDM and the analytical solution of the ODE represent the new SWRC. This way, the present paper is the first step to better understating how a chaotic framework could be related to SWRCs and geotechnics in general.pt_BR
dc.identifier.orcidhttps://orcid.org/0000-0003-4443-3310pt_BR
dc.identifier.orcidhttps://orcid.org/0000-0003-4980-1450pt_BR
dc.identifier.orcidhttps://orcid.org/0000-0002-2581-0486pt_BR
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