A fractional-order infiltration model to improve the simulation of rainfall/runoff in combination with a 2D shallow water model

Fernandez-Pato, J. ; Gracia, J.L. (Universidad de Zaragoza) ; Garcia-Navarro, P. (Universidad de Zaragoza)

Resumen: In this work, a distributed two-dimensional (2D) shallow water (SW) flow model is combined with a fractional-order version of the Green-Ampt (FOGA) infiltration law to improve rainfall/runoff simulation in real catchments. The surface water model is based on a robust finite volume method on triangular grids that can handle flow over dry bed and multiple wet/dry fronts. When supplied with adequate infiltration laws, this model can provide useful information in surface hydrology. The classical Green-Ampt law is generalized by using a Caputo fractional derivative of order less than or equal to 1 in Darcy''s law. The novelty of this combination is that, on the one hand, the distributed SW simulation provides a detailed surface water distribution and, on the other hand, the FOGA model offers the possibility to model infiltration rates not monotonically decreasing. In order to obtain the best results, a non-uniform order of the fractional derivative depending on the cumulative infiltration and the existence of available surface water is proposed for realistic cases. This allows significant improvement of previous published numerical results in the literature for several storm events in catchments where the infiltration process occurs.

Idioma: Inglés

DOI: 10.2166/hydro.2018.145

Año: 2018

Publicado en: JOURNAL OF HYDROINFORMATICS 20, 4 (2018), 898-916
ISSN: 1464-7141

Factor impacto JCR: 1.908 (2018)

Categ. JCR: ENGINEERING, CIVIL rank: 58 / 132 = 0.439 (2018) - Q2 - T2
Categ. JCR: WATER RESOURCES rank: 49 / 91 = 0.538 (2018) - Q3 - T2
Categ. JCR: ENVIRONMENTAL SCIENCES rank: 148 / 250 = 0.592 (2018) - Q3 - T2
Categ. JCR: COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS rank: 63 / 106 = 0.594 (2018) - Q3 - T2

Factor impacto SCIMAGO: 0.665 - Atmospheric Science (Q2) - Water Science and Technology (Q2) - Geotechnical Engineering and Engineering Geology (Q2) - Civil and Structural Engineering (Q2)

Financiación: info:eu-repo/grantAgreement/ES/MINECO/DI-14-06987
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2016-75139-R

Tipo y forma: Article (Published version)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
Área (Departamento): Área Mecánica de Fluidos (Dpto. Ciencia Tecnol.Mater.Fl.)