Explicit scheme for the numerical solution of unsaturated flow in heterogeneous media under shallow water table conditions.

An explicit 4-cell (4C) numerical scheme is proposed for the integration of the flow equations in the unsaturated zone designed for plain areas with shallow water tables. The scheme contemplates a weighting coefficient to define the representative unsaturated hydraulic conductivity between adjacent...

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Detalles Bibliográficos
Autor principal: Zimmermann, Erik
Formato: Artículo revista
Lenguaje:Español
Publicado: CURIHAM: Centro Universitario Rosario de Investigaciones Hidroambientales Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Universidad Nacional de Rosario Director: Dr. Ing. Hernán Stenta Riobamba 245 bis, 2000 Rosario (Santa Fe), Argentina. Telefa 2021
Materias:
Esquema numérico explícito
Flujo no saturado
Llanura
Freática somera
Explicit scheme
Unsaturated flow
Plain
Shallow water table
Acceso en línea:https://cuadernosdelcuriham.unr.edu.ar/index.php/CURIHAM/article/view/169
Aporte de:
Cuadernos del CURIHAM de Universidad Nacional de Rosario
id I15-R229-article-169
record_format ojs
institution Universidad Nacional de Rosario
institution_str I-15
repository_str R-229
container_title_str Cuadernos del CURIHAM
language Español
format Artículo revista
topic Esquema numérico explícito
Flujo no saturado
Llanura
Freática somera
Explicit scheme
Unsaturated flow
Plain
Shallow water table
spellingShingle Esquema numérico explícito
Flujo no saturado
Llanura
Freática somera
Explicit scheme
Unsaturated flow
Plain
Shallow water table
Zimmermann, Erik
Explicit scheme for the numerical solution of unsaturated flow in heterogeneous media under shallow water table conditions.
topic_facet Esquema numérico explícito
Flujo no saturado
Llanura
Freática somera
Explicit scheme
Unsaturated flow
Plain
Shallow water table
author Zimmermann, Erik
author_facet Zimmermann, Erik
author_sort Zimmermann, Erik
title Explicit scheme for the numerical solution of unsaturated flow in heterogeneous media under shallow water table conditions.
title_short Explicit scheme for the numerical solution of unsaturated flow in heterogeneous media under shallow water table conditions.
title_full Explicit scheme for the numerical solution of unsaturated flow in heterogeneous media under shallow water table conditions.
title_fullStr Explicit scheme for the numerical solution of unsaturated flow in heterogeneous media under shallow water table conditions.
title_full_unstemmed Explicit scheme for the numerical solution of unsaturated flow in heterogeneous media under shallow water table conditions.
title_sort explicit scheme for the numerical solution of unsaturated flow in heterogeneous media under shallow water table conditions.
description An explicit 4-cell (4C) numerical scheme is proposed for the integration of the flow equations in the unsaturated zone designed for plain areas with shallow water tables. The scheme contemplates a weighting coefficient to define the representative unsaturated hydraulic conductivity between adjacent cells and considers the heterogeneity of each edaphic horizon. The 4C scheme is compared with estimates made by HYDRUS-1D in two sets of modeled tests, one with surface saturation for 10 days and the other with rainfall series for 96 days. The numerical tests were performed for 14 types of soil associations characteristic of the study area (A° del Azul, Bs. As.) and 6 phreatic depths (between 300 and 50 cm). For the first trial, the response of the scheme is considered acceptable with percentage differences of about 19%. In the second, the proposed scheme estimated satisfactorily the phreatic recharge with percentage differences of 1% between both schemes. In addition, it showed a very good adjustment in the evolution of moisture contents of each stratum. These results validate the proposed simplified scheme allowing a fast response in terms of computational time.
publisher CURIHAM: Centro Universitario Rosario de Investigaciones Hidroambientales Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Universidad Nacional de Rosario Director: Dr. Ing. Hernán Stenta Riobamba 245 bis, 2000 Rosario (Santa Fe), Argentina. Telefa
publishDate 2021
url https://cuadernosdelcuriham.unr.edu.ar/index.php/CURIHAM/article/view/169
work_keys_str_mv AT zimmermannerik explicitschemeforthenumericalsolutionofunsaturatedflowinheterogeneousmediaundershallowwatertableconditions
AT zimmermannerik esquemaexplicitoparalasolucionnumericadelflujonosaturadoenmediosheterogeneosbajocondiciondenivelesfreaticossomeros
first_indexed 2023-05-18T23:05:28Z
last_indexed 2024-08-12T21:37:08Z
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spelling I15-R229-article-1692023-08-01T18:03:48Z Explicit scheme for the numerical solution of unsaturated flow in heterogeneous media under shallow water table conditions. Esquema explícito para la solución numérica del flujo no saturado en medios heterogéneos bajo condición de niveles freáticos someros. Zimmermann, Erik Esquema numérico explícito Flujo no saturado Llanura Freática somera Explicit scheme Unsaturated flow Plain Shallow water table An explicit 4-cell (4C) numerical scheme is proposed for the integration of the flow equations in the unsaturated zone designed for plain areas with shallow water tables. The scheme contemplates a weighting coefficient to define the representative unsaturated hydraulic conductivity between adjacent cells and considers the heterogeneity of each edaphic horizon. The 4C scheme is compared with estimates made by HYDRUS-1D in two sets of modeled tests, one with surface saturation for 10 days and the other with rainfall series for 96 days. The numerical tests were performed for 14 types of soil associations characteristic of the study area (A° del Azul, Bs. As.) and 6 phreatic depths (between 300 and 50 cm). For the first trial, the response of the scheme is considered acceptable with percentage differences of about 19%. In the second, the proposed scheme estimated satisfactorily the phreatic recharge with percentage differences of 1% between both schemes. In addition, it showed a very good adjustment in the evolution of moisture contents of each stratum. These results validate the proposed simplified scheme allowing a fast response in terms of computational time. Se propone un esquema numérico explícito de 4 celdas (4C) para la integración de las ecuaciones de flujo en la zona no saturada diseñado para áreas de llanura con niveles freáticos someros. El esquema contempla un coeficiente de ponderación para definir la conductividad hidráulica no saturada representativa entre celdas adyacentes y considera la heterogeneidad de cada horizonte edáfico. El esquema 4C es comparado con estimaciones realizadas por el HYDRUS-1D en dos grupos de ensayos modelados, uno con saturación de superficie durante 10 días y otro con series de precipitaciones durante 96 días. Los ensayos numéricos se hicieron para 14 tipos de asociaciones de suelos características de la zona de estudio (A° del Azul, Bs. As.) y 6 profundidades freáticas (entre 300 y 50 cm). Para el primer ensayo, la respuesta del esquema se considera aceptable con diferencias porcentuales del orden al 19%. En el segundo, el esquema propuesto estimó satisfactoriamente las recargas freáticas con diferencias porcentuales del 1% entre ambos esquemas. Complementariamente, mostró un muy buen ajuste en las evoluciones de contenidos de humedad de cada estrato. Estos resultados validan el esquema simplificado propuesto permitiendo una respuesta rápida en términos de tiempo computacional. CURIHAM: Centro Universitario Rosario de Investigaciones Hidroambientales Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Universidad Nacional de Rosario Director: Dr. Ing. Hernán Stenta Riobamba 245 bis, 2000 Rosario (Santa Fe), Argentina. Telefa 2021-12-07 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf text/html https://cuadernosdelcuriham.unr.edu.ar/index.php/CURIHAM/article/view/169 10.35305/curiham.v27i.169 Cuadernos del CURIHAM is a half-year publication of the Centro Universitario de Rosario of hydro-environmental research directed by Adelma Mancinelli. It is dedicated to spreading the results of basic and applied research as well as technological innovations on the realm of hidro-environmental issues. It may include field study results, interdisciplinary studies or studies on the state of art on the field: basic hydraulics, fluvial and hydrodinamics, superficial and underground hydrology, urban and stochastic hydrology, planning and management of hydric resources, environmental evaluation, pollution and quality of the water, politics and water legislation, regional hydro-environmental management, hydraulic construction, methods and techniques and everything related to hydro-environmental sciences.; Vol. 27 (2021); 47-58 Cuadernos del CURIHAM; Vol. 27 (2021); 47-58 2683-8168 spa https://cuadernosdelcuriham.unr.edu.ar/index.php/CURIHAM/article/view/169/155 https://cuadernosdelcuriham.unr.edu.ar/index.php/CURIHAM/article/view/169/194 https://creativecommons.org/licenses/by-nc-sa/4.0

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