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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.

Information

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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