TY - JOUR
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
N1 - Funding Information:
KA and AO were supported by Sultan Qaboos University projects SR/AGR/SWAE/09/01 and #IG/SCI/ETHS/07/01, respectively. Helpful comments of an anonymous referee are appreciated.
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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U2 - 10.1016/j.jhydrol.2010.07.040
DO - 10.1016/j.jhydrol.2010.07.040
M3 - Article
AN - SCOPUS:77956615923
SN - 0022-1694
VL - 392
SP - 96
EP - 104
JO - Journal of Hydrology
JF - Journal of Hydrology
IS - 1-2
ER -