A new perturbation solution of groundwater table fluctuations in tidal beaches

Yu Qiang Xia; Hai Long Li; Michel C. Boufadel

doi:10.1016/S1001-6058(09)60169-4

A new perturbation solution of groundwater table fluctuations in tidal beaches

Yu Qiang Xia, Hai Long Li, Michel C. Boufadel

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

This paper modeled tide-induced groundwater flow in a vertical beach with a thin submarine outlet-capping. By implementing a perturbation method based on the Boussinesq's equation, a new approximate solution was derived for the model. Then the solution was compared with previous analytical solutions derived from the linearized Boussinesq's equation. The results showed that the error between the present and previous solutions increases with the value of the ratio of tidal amplitude to the aquifer's depth below the mean sea level and the leakage of the submarine outlet-capping.

Original language	English (US)
Pages (from-to)	55-60
Number of pages	6
Journal	Journal of Hydrodynamics
Volume	22
Issue number	5 SUPPL. 1
DOIs	https://doi.org/10.1016/S1001-6058(09)60169-4
State	Published - Oct 2010
Externally published	Yes

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

Keywords

Perturbation solution
Submarine outlet-capping
Tidal beach
Tidal effect
Water table fluctuation

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10.1016/S1001-6058(09)60169-4

Cite this

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title = "A new perturbation solution of groundwater table fluctuations in tidal beaches",

abstract = "This paper modeled tide-induced groundwater flow in a vertical beach with a thin submarine outlet-capping. By implementing a perturbation method based on the Boussinesq's equation, a new approximate solution was derived for the model. Then the solution was compared with previous analytical solutions derived from the linearized Boussinesq's equation. The results showed that the error between the present and previous solutions increases with the value of the ratio of tidal amplitude to the aquifer's depth below the mean sea level and the leakage of the submarine outlet-capping.",

keywords = "Perturbation solution, Submarine outlet-capping, Tidal beach, Tidal effect, Water table fluctuation",

author = "Xia, {Yu Qiang} and Li, {Hai Long} and Boufadel, {Michel C.}",

note = "Funding Information: This work was conducted during the tenure of a Visiting Research Fellowship awarded to the first author at Temple University under a grant from the Exxon Valdez Oil Spill Trustee Council (PI: Michel C. Boufadel, No. 070836). This research was also supported in part by the National Natural Science Foundation of China (PI: Hailong Li, No. 40672167) and the 111 Project (B08030).",

year = "2010",

month = oct,

doi = "10.1016/S1001-6058(09)60169-4",

language = "English (US)",

volume = "22",

pages = "55--60",

journal = "Journal of Hydrodynamics",

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TY - JOUR

T1 - A new perturbation solution of groundwater table fluctuations in tidal beaches

AU - Xia, Yu Qiang

AU - Li, Hai Long

AU - Boufadel, Michel C.

N1 - Funding Information: This work was conducted during the tenure of a Visiting Research Fellowship awarded to the first author at Temple University under a grant from the Exxon Valdez Oil Spill Trustee Council (PI: Michel C. Boufadel, No. 070836). This research was also supported in part by the National Natural Science Foundation of China (PI: Hailong Li, No. 40672167) and the 111 Project (B08030).

PY - 2010/10

Y1 - 2010/10

N2 - This paper modeled tide-induced groundwater flow in a vertical beach with a thin submarine outlet-capping. By implementing a perturbation method based on the Boussinesq's equation, a new approximate solution was derived for the model. Then the solution was compared with previous analytical solutions derived from the linearized Boussinesq's equation. The results showed that the error between the present and previous solutions increases with the value of the ratio of tidal amplitude to the aquifer's depth below the mean sea level and the leakage of the submarine outlet-capping.

AB - This paper modeled tide-induced groundwater flow in a vertical beach with a thin submarine outlet-capping. By implementing a perturbation method based on the Boussinesq's equation, a new approximate solution was derived for the model. Then the solution was compared with previous analytical solutions derived from the linearized Boussinesq's equation. The results showed that the error between the present and previous solutions increases with the value of the ratio of tidal amplitude to the aquifer's depth below the mean sea level and the leakage of the submarine outlet-capping.

KW - Perturbation solution

KW - Submarine outlet-capping

KW - Tidal beach

KW - Tidal effect

KW - Water table fluctuation

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DO - 10.1016/S1001-6058(09)60169-4

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SN - 1001-6058

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SP - 55

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JO - Journal of Hydrodynamics

JF - Journal of Hydrodynamics

IS - 5 SUPPL. 1

ER -

A new perturbation solution of groundwater table fluctuations in tidal beaches

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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