Water table response to a tidal agitation in a coastal aquifer

The Meyer-Polubarinova-Kochina theory revisited

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6 Citations (Scopus)

Abstract

The linear potential model of Meyer and Polubarinova-Kochina (MPK) solves Laplace's equation in a quadrant, the vertical face of which is subject to a harmonic variation of hydraulic head induced by a tide. On the horizontal face of the quadrant a linear combination of the partial derivatives of the head with respect to time and with respect to the vertical Cartesian coordinate are linearly related. The fields of pore pressure (head) and Darcian velocity, trajectories of marked particles, the oscillating phreatic surface and its upper envelope are obtained. Hydrograph in a piezometer located 60. m from the shore line in a thick unconfined coastal aquifer (Oman) is interpreted by the analytical results of the model using the detected groundwater amplitude attenuated as compared with the tide amplitude. MPK method provides a potentially superior description to the Dupuit-Forchheimer method for tidally driven phreatic systems.

Original languageEnglish
Pages (from-to)96-104
Number of pages9
JournalJournal of Hydrology
Volume392
Issue number1-2
DOIs
Publication statusPublished - Oct 2010

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coastal aquifer
water table
tide
unconfined aquifer
piezometer
hydraulic head
hydrograph
pore pressure
trajectory
groundwater
method
particle

Keywords

  • Coastal aquifer
  • Cyclostationary fluctuations
  • Phreatic surface
  • Piezometer

ASJC Scopus subject areas

  • Water Science and Technology

Cite this

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title = "Water table response to a tidal agitation in a coastal aquifer: The Meyer-Polubarinova-Kochina theory revisited",
abstract = "The linear potential model of Meyer and Polubarinova-Kochina (MPK) solves Laplace's equation in a quadrant, the vertical face of which is subject to a harmonic variation of hydraulic head induced by a tide. On the horizontal face of the quadrant a linear combination of the partial derivatives of the head with respect to time and with respect to the vertical Cartesian coordinate are linearly related. The fields of pore pressure (head) and Darcian velocity, trajectories of marked particles, the oscillating phreatic surface and its upper envelope are obtained. Hydrograph in a piezometer located 60. m from the shore line in a thick unconfined coastal aquifer (Oman) is interpreted by the analytical results of the model using the detected groundwater amplitude attenuated as compared with the tide amplitude. MPK method provides a potentially superior description to the Dupuit-Forchheimer method for tidally driven phreatic systems.",
keywords = "Coastal aquifer, Cyclostationary fluctuations, Phreatic surface, Piezometer",
author = "Anvar Kacimov and Osman Abdalla",
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issn = "0022-1694",
publisher = "Elsevier",
number = "1-2",

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T1 - Water table response to a tidal agitation in a coastal aquifer

T2 - The Meyer-Polubarinova-Kochina theory revisited

AU - Kacimov, Anvar

AU - Abdalla, Osman

PY - 2010/10

Y1 - 2010/10

N2 - The linear potential model of Meyer and Polubarinova-Kochina (MPK) solves Laplace's equation in a quadrant, the vertical face of which is subject to a harmonic variation of hydraulic head induced by a tide. On the horizontal face of the quadrant a linear combination of the partial derivatives of the head with respect to time and with respect to the vertical Cartesian coordinate are linearly related. The fields of pore pressure (head) and Darcian velocity, trajectories of marked particles, the oscillating phreatic surface and its upper envelope are obtained. Hydrograph in a piezometer located 60. m from the shore line in a thick unconfined coastal aquifer (Oman) is interpreted by the analytical results of the model using the detected groundwater amplitude attenuated as compared with the tide amplitude. MPK method provides a potentially superior description to the Dupuit-Forchheimer method for tidally driven phreatic systems.

AB - The linear potential model of Meyer and Polubarinova-Kochina (MPK) solves Laplace's equation in a quadrant, the vertical face of which is subject to a harmonic variation of hydraulic head induced by a tide. On the horizontal face of the quadrant a linear combination of the partial derivatives of the head with respect to time and with respect to the vertical Cartesian coordinate are linearly related. The fields of pore pressure (head) and Darcian velocity, trajectories of marked particles, the oscillating phreatic surface and its upper envelope are obtained. Hydrograph in a piezometer located 60. m from the shore line in a thick unconfined coastal aquifer (Oman) is interpreted by the analytical results of the model using the detected groundwater amplitude attenuated as compared with the tide amplitude. MPK method provides a potentially superior description to the Dupuit-Forchheimer method for tidally driven phreatic systems.

KW - Coastal aquifer

KW - Cyclostationary fluctuations

KW - Phreatic surface

KW - Piezometer

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