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On the response of a poro-elastic bed to water waves

Published online by Cambridge University Press:  12 April 2006

Tokuo Yamamoto ,
H. L. Koning ,
Hans Sellmeijer  and
Ep Van Hijum
Tokuo Yamamoto
Affiliation:
Department of Civil Engineering, Oregon State University, Corvallis Present address: Department of Civil Engineering, University of Houston, Texas 77004.
H. L. Koning
Affiliation:
Delft Soil Mechanics Laboratory, Delft, The Netherlands
Hans Sellmeijer
Affiliation:
Department of Civil Engineering, Oregon State University, Corvallis
Ep Van Hijum
Affiliation:
DeVoorst Hydraulics Laboratory, Emmeloord, The Netherlands
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Abstract

The problem of the response of a porous elastic bed to water waves is treated analytically on the basis of the three-dimensional consolidation theory of Biot (1941). Exact solutions for the pore-water pressure and the displacements of the porous medium are obtained in closed form for the case of waves propagating over the poro-elastic bed. The theoretical results indicate that the bed response to waves is strongly dependent on the permeability k and the stiffness ratio G/K’, where G is the shear modulus of the porous medium and K’ is the apparent bulk modulus of elasticity of the pore fluid. The earlier solutions for pore-water pressure by various authors are given as the limiting cases of the present solution. For the limits G/K′ → 0 or k→ ∞, the present solution for pressure approaches the solution of the Laplace equation by Putnam (1949). For the limit G/K′→ ∞, the present solution approaches the solution of the heat conduction equation by Nakamura et al. (1973) and Moshagen & Tørum (1975).

The theoretical results are compared with wave tank experimental data on pore-water pressure in coarse and fine sand beds which contain small amounts of air. Good agreement between theory and experiment is obtained.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 87 , Issue 1 , 12 July 1978 , pp. 193 - 206
Copyright
© 1978 Cambridge University Press

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References

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