Exact and approximate analytical solutions of groundwater response to tidal fluctuations in a theoretical inhomogeneous coastal confined aquifer
- Autores
- Monachesi, Leonardo Bruno; Guarracino, Luis
- Año de publicación
- 2011
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- The influence of hydraulic conductivity heterogeneity on tide-induced head fluctuations is presented for a theoretical coastal confined aquifer. The conceptual model assumes that the hydraulic conductivity increases linearly with the distance from the coastline. This type of heterogeneity has been observed in many alluvial coastal aquifers. An exact analytical solution that predicts induced head fluctuations is obtained in terms of a Hankel function. The exact solution can be approximated by a simple mathematical expression, valid for small rates of increase of hydraulic conductivity. Both exact and approximate solutions show significant differences from the classical solution obtained for a homogeneous aquifer. Near the coastline the amplitude of the induced head fluctuation is damped but it is enhanced as the distance to the coast increases. The time-lag between sea tide and induced head fluctuation in the aquifer is not linear; it behaves as a square-root type function leading to a faster transmission of the tidal fluctuation. Hypothetical examples show that the influence of hydraulic conductivity heterogeneity can be significant and should be considered for a correct description of the groundwater response.
Se analiza el efecto de la heterogeneidad de la conductividad hidráulica en las fluctuaciones inducidas por mareas en un acuífero costero confinado teórico. El modelo conceptual supone que la conductividad hidráulica aumenta linealmente con la distancia a la costa. Este tipo de heterogeneidad ha sido observada en numerosos acuíferos costeros aluviales. Se deriva una solución analítica exacta que predice las fluctuaciones inducidas en términos de la función de Hankel. La solución exacta puede aproximarse mediante una simple expresión matemática que es válida para pequeños incrementos de la conductividad hidráulica. Las soluciones exacta y aproximada muestran diferencias significativas con la solución clásica derivada para un acuífero homogéneo. La amplitud de la fluctuación inducida está atenuada cerca de la línea de costa pero aumenta a medida que la distancia a la costa se incrementa. El defasaje en tiempo entre la marea oceánica y la fluctuación inducida en el acuífero no es lineal, sino que se comporta como una función de tipo raíz cuadrada que produce una transmisión más rápida de la onda de marea. Ejemplos hipotéticos muestran que el efecto de la heterogeneidad en la conductividad hidráulica puede ser importante y debería considerarse para una correcta descripción de la respuesta de las aguas subterráneas.
Facultad de Ciencias Astronómicas y Geofísicas - Materia
-
Geofísica
Analytical solutions
Coastal aquifers
Groundwater flow
Heterogeneity
Tidal fluctuation - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/146250
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Exact and approximate analytical solutions of groundwater response to tidal fluctuations in a theoretical inhomogeneous coastal confined aquiferSoluciones analíticas exacta y aproximada de la respuesta de las aguas subterráneas a las fluctuaciones de marea en un acuífero costero confinado e inhomogéneo de tipo teóricoMonachesi, Leonardo BrunoGuarracino, LuisGeofísicaAnalytical solutionsCoastal aquifersGroundwater flowHeterogeneityTidal fluctuationThe influence of hydraulic conductivity heterogeneity on tide-induced head fluctuations is presented for a theoretical coastal confined aquifer. The conceptual model assumes that the hydraulic conductivity increases linearly with the distance from the coastline. This type of heterogeneity has been observed in many alluvial coastal aquifers. An exact analytical solution that predicts induced head fluctuations is obtained in terms of a Hankel function. The exact solution can be approximated by a simple mathematical expression, valid for small rates of increase of hydraulic conductivity. Both exact and approximate solutions show significant differences from the classical solution obtained for a homogeneous aquifer. Near the coastline the amplitude of the induced head fluctuation is damped but it is enhanced as the distance to the coast increases. The time-lag between sea tide and induced head fluctuation in the aquifer is not linear; it behaves as a square-root type function leading to a faster transmission of the tidal fluctuation. Hypothetical examples show that the influence of hydraulic conductivity heterogeneity can be significant and should be considered for a correct description of the groundwater response.Se analiza el efecto de la heterogeneidad de la conductividad hidráulica en las fluctuaciones inducidas por mareas en un acuífero costero confinado teórico. El modelo conceptual supone que la conductividad hidráulica aumenta linealmente con la distancia a la costa. Este tipo de heterogeneidad ha sido observada en numerosos acuíferos costeros aluviales. Se deriva una solución analítica exacta que predice las fluctuaciones inducidas en términos de la función de Hankel. La solución exacta puede aproximarse mediante una simple expresión matemática que es válida para pequeños incrementos de la conductividad hidráulica. Las soluciones exacta y aproximada muestran diferencias significativas con la solución clásica derivada para un acuífero homogéneo. La amplitud de la fluctuación inducida está atenuada cerca de la línea de costa pero aumenta a medida que la distancia a la costa se incrementa. El defasaje en tiempo entre la marea oceánica y la fluctuación inducida en el acuífero no es lineal, sino que se comporta como una función de tipo raíz cuadrada que produce una transmisión más rápida de la onda de marea. Ejemplos hipotéticos muestran que el efecto de la heterogeneidad en la conductividad hidráulica puede ser importante y debería considerarse para una correcta descripción de la respuesta de las aguas subterráneas.Facultad de Ciencias Astronómicas y Geofísicas2011-07-19info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf1443-1449http://sedici.unlp.edu.ar/handle/10915/146250enginfo:eu-repo/semantics/altIdentifier/issn/1431-2174info:eu-repo/semantics/altIdentifier/issn/1435-0157info:eu-repo/semantics/altIdentifier/doi/10.1007/s10040-011-0761-yinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:32:32Zoai:sedici.unlp.edu.ar:10915/146250Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:32:33.09SEDICI (UNLP) - Universidad Nacional de La Platafalse |
dc.title.none.fl_str_mv |
Exact and approximate analytical solutions of groundwater response to tidal fluctuations in a theoretical inhomogeneous coastal confined aquifer Soluciones analíticas exacta y aproximada de la respuesta de las aguas subterráneas a las fluctuaciones de marea en un acuífero costero confinado e inhomogéneo de tipo teórico |
title |
Exact and approximate analytical solutions of groundwater response to tidal fluctuations in a theoretical inhomogeneous coastal confined aquifer |
spellingShingle |
Exact and approximate analytical solutions of groundwater response to tidal fluctuations in a theoretical inhomogeneous coastal confined aquifer Monachesi, Leonardo Bruno Geofísica Analytical solutions Coastal aquifers Groundwater flow Heterogeneity Tidal fluctuation |
title_short |
Exact and approximate analytical solutions of groundwater response to tidal fluctuations in a theoretical inhomogeneous coastal confined aquifer |
title_full |
Exact and approximate analytical solutions of groundwater response to tidal fluctuations in a theoretical inhomogeneous coastal confined aquifer |
title_fullStr |
Exact and approximate analytical solutions of groundwater response to tidal fluctuations in a theoretical inhomogeneous coastal confined aquifer |
title_full_unstemmed |
Exact and approximate analytical solutions of groundwater response to tidal fluctuations in a theoretical inhomogeneous coastal confined aquifer |
title_sort |
Exact and approximate analytical solutions of groundwater response to tidal fluctuations in a theoretical inhomogeneous coastal confined aquifer |
dc.creator.none.fl_str_mv |
Monachesi, Leonardo Bruno Guarracino, Luis |
author |
Monachesi, Leonardo Bruno |
author_facet |
Monachesi, Leonardo Bruno Guarracino, Luis |
author_role |
author |
author2 |
Guarracino, Luis |
author2_role |
author |
dc.subject.none.fl_str_mv |
Geofísica Analytical solutions Coastal aquifers Groundwater flow Heterogeneity Tidal fluctuation |
topic |
Geofísica Analytical solutions Coastal aquifers Groundwater flow Heterogeneity Tidal fluctuation |
dc.description.none.fl_txt_mv |
The influence of hydraulic conductivity heterogeneity on tide-induced head fluctuations is presented for a theoretical coastal confined aquifer. The conceptual model assumes that the hydraulic conductivity increases linearly with the distance from the coastline. This type of heterogeneity has been observed in many alluvial coastal aquifers. An exact analytical solution that predicts induced head fluctuations is obtained in terms of a Hankel function. The exact solution can be approximated by a simple mathematical expression, valid for small rates of increase of hydraulic conductivity. Both exact and approximate solutions show significant differences from the classical solution obtained for a homogeneous aquifer. Near the coastline the amplitude of the induced head fluctuation is damped but it is enhanced as the distance to the coast increases. The time-lag between sea tide and induced head fluctuation in the aquifer is not linear; it behaves as a square-root type function leading to a faster transmission of the tidal fluctuation. Hypothetical examples show that the influence of hydraulic conductivity heterogeneity can be significant and should be considered for a correct description of the groundwater response. Se analiza el efecto de la heterogeneidad de la conductividad hidráulica en las fluctuaciones inducidas por mareas en un acuífero costero confinado teórico. El modelo conceptual supone que la conductividad hidráulica aumenta linealmente con la distancia a la costa. Este tipo de heterogeneidad ha sido observada en numerosos acuíferos costeros aluviales. Se deriva una solución analítica exacta que predice las fluctuaciones inducidas en términos de la función de Hankel. La solución exacta puede aproximarse mediante una simple expresión matemática que es válida para pequeños incrementos de la conductividad hidráulica. Las soluciones exacta y aproximada muestran diferencias significativas con la solución clásica derivada para un acuífero homogéneo. La amplitud de la fluctuación inducida está atenuada cerca de la línea de costa pero aumenta a medida que la distancia a la costa se incrementa. El defasaje en tiempo entre la marea oceánica y la fluctuación inducida en el acuífero no es lineal, sino que se comporta como una función de tipo raíz cuadrada que produce una transmisión más rápida de la onda de marea. Ejemplos hipotéticos muestran que el efecto de la heterogeneidad en la conductividad hidráulica puede ser importante y debería considerarse para una correcta descripción de la respuesta de las aguas subterráneas. Facultad de Ciencias Astronómicas y Geofísicas |
description |
The influence of hydraulic conductivity heterogeneity on tide-induced head fluctuations is presented for a theoretical coastal confined aquifer. The conceptual model assumes that the hydraulic conductivity increases linearly with the distance from the coastline. This type of heterogeneity has been observed in many alluvial coastal aquifers. An exact analytical solution that predicts induced head fluctuations is obtained in terms of a Hankel function. The exact solution can be approximated by a simple mathematical expression, valid for small rates of increase of hydraulic conductivity. Both exact and approximate solutions show significant differences from the classical solution obtained for a homogeneous aquifer. Near the coastline the amplitude of the induced head fluctuation is damped but it is enhanced as the distance to the coast increases. The time-lag between sea tide and induced head fluctuation in the aquifer is not linear; it behaves as a square-root type function leading to a faster transmission of the tidal fluctuation. Hypothetical examples show that the influence of hydraulic conductivity heterogeneity can be significant and should be considered for a correct description of the groundwater response. |
publishDate |
2011 |
dc.date.none.fl_str_mv |
2011-07-19 |
dc.type.none.fl_str_mv |
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publishedVersion |
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http://sedici.unlp.edu.ar/handle/10915/146250 |
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dc.language.none.fl_str_mv |
eng |
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eng |
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info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
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openAccess |
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http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
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