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Long Waves Over a Bi-viscous Seabed: Transverse Patterns : Volume 9, Issue 1 (30/11/-0001)

By Becker, J. M.

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Book Id: WPLBN0004020053
Format Type: PDF Article :
File Size: Pages 8
Reproduction Date: 2015

Title: Long Waves Over a Bi-viscous Seabed: Transverse Patterns : Volume 9, Issue 1 (30/11/-0001)  
Author: Becker, J. M.
Volume: Vol. 9, Issue 1
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Bercovici, D., & Becker, J. M. (-0001). Long Waves Over a Bi-viscous Seabed: Transverse Patterns : Volume 9, Issue 1 (30/11/-0001). Retrieved from

Description: Department of Geology and Geophysics, University of Hawaii at Manoa, Honolulu, HI, USA. The coupled interaction of long standing hydrodynamic waves with a deformable non-Newtonian seabed is examined using a two-layer model for which the upper layer fluid is inviscid and the lower layer is bi-viscous. The two-dimensional response of the system to forcing by a predominantly longitudinal (cross-shore) standing wave perturbed by a small transverse (along-shore) component is determined. With a constant yield stress in the bi-viscous lower layer, there is little amplification of these transverse per-turbations and the model response typically remains quasi-one-dimensional. However, for a bi-viscous layer with a pressure-dependent yield stress (which represents the effect that the seabed deforms less readily under compression and hence renders the rheology history dependent), the initially small transverse motions are amplified in some parameter regimes and two-dimensional, permanent bedforms are formed in the lower layer. This simple dynamical model is, therefore, able to explain the formation of permanent bedforms with significant cross- and along-shore features by predominantly cross-shore standing wave forcing.

Long waves over a bi-viscous seabed: transverse patterns


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