TECHNICAL PAPERS
Sep 1, 1993

Dynamic Response of Poroelastic Bed to Water Waves

Publication: Journal of Hydraulic Engineering
Volume 119, Issue 9

Abstract

The problem of a small‐amplitude water wave propagating in a channel of constant depth with a horizontal poroelastic bed of infinite thickness is investigated. Using the theory of poroelasticity derived in Huang and Chwang (1990), three decoupled Helmholtz equations are applied to study the present problem. The general solution is obtained, and five physical parameters, m, ε, Λ, Π, Ψ, for the porous media flow are defined. The first of these physical parameters represents the relative stiffness of solid and fluid, the second represents penetrability, while the other three reveal Mach numbers of two longitudinal waves and one transverse wave of the porous medium when penetrability is low, i.e., when ε1. It is believed that these parameters will be especially useful for experimental modeling. We not only clarify the required constraints of Yamamoto et al. (1978) and Liu (1973) that are not explained in their articles, but also demonstrate successfully the generality of the present work.

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References

1.
Alpan, I. (1961). “The dissipation function for unsaturated soils.” Proc. 15th Int. Conf. on Soil Mech. and Foundation Engrg., 1, 3–5.
2.
Biot, M. A. (1956a). “Theory of propagation elastic waves in a fluid saturated porous solid. I. Low‐frequency range.” JASA, 28, 168–178.
3.
Biot, M. A. (1956b). “Theory of propagation elastic waves in a fluid saturated porous solid. II. Higher frequency range.” JASA, 28, 179–191.
4.
Biot, M. A. (1962). “Mechanics of deformation and acoustic propagation in porous media.” J. Appl. Phy., 33(4), 1482–1498.
5.
Dalrymple, R. A., and Liu, P. L.‐F. (1982). “Gravity waves over a poroelastic seabed.” Proc. Ocean Struct. Dynamics Symp., ASCE, 181–185.
6.
Huang, L. H., and Chwang, A. T. (1990). “Trapping and absorption of sound waves. II. A sphere covered with a porous layer.” Wave Motion, 12, 401–414.
7.
Liam Finn, W. D., Siddharthan, R., and Martin, G. R. (1980). “Response of seafloor to ocean waves.” J. Geotech. Engrg., ASCE, 109(4), 556–572.
8.
Liu, L. F. (1973). “Damping of water waves over porous bed.” J. Hydr. Div., ASCE, 99(12), 2263–2271.
9.
Mei, C. C., and Foda, M. A. (1981). “Wave‐induced responses in a fluid filled poro‐elastic solid with a free surface—a boundary layer theory.” Geophys. J. R. Astr. Soc., 66, 597–631.
10.
Morse, P. M., and Feshbach, H. (1978). Methods of theoretical physics. Vol. 2, McGraw‐Hill, New York, N.Y., 1766.
11.
Moshagen, H., and Torum, A. (1975). “Wave‐induced pressures in permeable seabeds.” J. Wtrwy, Harb., and Coastal Engrg. Div., ASCE, 101(1), 49–57.
12.
Putnam, J. A. (1949). “Loss of wave energy due to percolation in a permeable sea‐bottom.” Trans. Am. Geo Un., 30, 349–356.
13.
Reid, R. O., and Kajiura, K. (1957). “On the damping of gravity waves over a permeable sea bed.” Trans. Am. Geo. Un., 30, 662–666.
14.
Tsui, Y., and Helfrich, S. C. (1983). “Wave‐induced pore pressure in submerged and layer.” J. Geotech. Engrg., ASCE, 109(4), 603–618.
15.
Verruijt, A. (1969). “Elastic storage of aquifers.” Flow through porous media, R. J. M. De Weist, ed., Academic Press, New York, N.Y., 337.
16.
Yamamoto, T. (1983). “On the response of a Coulomb‐damped pore‐elastic bed to water waves.” Mar. Geotechnol., 5(2), 99–106.
17.
Yamamoto, T., Koning, H. L., Sellmeijer, H., and Hijum, E. V. (1978). “On the response of a porous‐elastic bed to water waves.” JFM 87, 193–206.

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 119Issue 9September 1993
Pages: 1003 - 1020

History

Received: Mar 27, 1992
Published online: Sep 1, 1993
Published in print: Sep 1993

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Authors

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L. H. Huang, Associate Member, ASCE
Assoc. Prof., Dept. of Civ. Engrg., Nat. Taiwan Univ., Taipei, Taiwan, Republic of China
C. H. Song
Grad. Student, Dept. of Civ. Engrg., Nat. Taiwan Univ., Taipei, Taiwan, Republic of China

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