Research Article
May 1976

Gravity Waves Propagated over Permeable Bottom

Publication: Journal of the Waterways, Harbors and Coastal Engineering Division
Volume 102, Issue 2

Abstract

Based on Forchheimer equation and potential theory, the propagation of small amplitude surface waves over a permeable bed is examined. The special linearization technique that is based on the assumption of the equivalent work (Lorentz' hypothesis) is employed in order to determine analytically the velocity field and pressure field. Demanding the continuity of pressure and velocity components at the interface, the damping factor and wave number for arbitrary permeability are found. The example calculations show that the influence of the permeability on the pressure distribution is negligibly small.

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Journal of the Waterways, Harbors and Coastal Engineering Division
Volume 102Issue 2May 1976
Pages: 111 - 121

History

Published in print: May 1976
Published online: Feb 12, 2021

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Stanislaw R. Massel
Asst. Prof., Inst. of Hydroengineering, Gdansk, Poland

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