Wave Motion through Porous Structures
Publication: Journal of Engineering Mechanics
Volume 120, Issue 5
Abstract
Linear potential theory is applied to the analysis of wave motion through a two‐layer porous structure. For special cases, the characteristics of waves in nondissipative, weakly, as well as strongly, dissipative media and their relations with the inertial and resistive properties of the media are explored. It is noted that in a nondissipative medium, the wave components are either nonpropagative or nondecaying. In a dissipative medium, however, they are always propagative and decaying as well. The reflection, transmission, and dissipation of monochromatic incident waves by a rectangular block, with typical dissipative characteristics and various thickness as well as submergence of its crest, are studied by the method of matched velocity potentials. It is found that there is an optimum thickness for a porous structure beyond which any further increase of the thickness may not lead to an appreciable improvement of its functional performance in reducing the transmission and reflection. It is also discovered that a medium of moderate permeability may be favorable in the design of a wide‐crested breakwater if the wave heights on both front and lee sides of the structure are required to be controlled.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Dalrymple, R. A., Losada, M. A., and Martin, P. A. (1991). “Reflection and transmission from porous structures under oblique wave attack.” J. Fluid Mech., 224, 625–644.
2.
Ijima, T., Chou, C. R., and Yamura, Y. (1974). “Wave scattering by permeable and impermeable breakwater of arbitrary shape.” Proc., 14th Conf. Coast. Engrg., ASCE, New York, N.Y., 1886–1905.
3.
Kondo, H., and Toma, S. (1972). “Reflection and transmission for a porous structure.” Proc., 13th Conf. Coast. Engrg., ASCE, New York, N.Y., 1847–1866.
4.
Liu, P. L.‐F., and Dalrymple, R. A. (1984). “The damping of gravity water‐waves due to percolation.” Coast. Engrg., 8(1), 33–49.
5.
Madsen, O. S. (1974). “Wave transmission through porous structure.” J. Wtrwy., Harb., Coast. Engrg. Div., ASCE, 100(3), 169–188.
6.
Putnam, J. A. (1949). “Logs of water wave energy due to percolation in a permeable sea bottom.” Trans. Am. Geophysical Union, 30(3), 349–356.
7.
Reid, R. O., and Kajiura, K. (1957). “On the damping of gravity waves over a permeable sea bed.” Trans. Am. Geophysical Union, 38(5), 327–336.
8.
Rojanakamthorn, S., Isobe, M., and Watanabe, A. (1989). “A mathematical model of wave transformation over a submerged breakwater.” Coast. Engrg. in Japan, 32(2), 144–169.
9.
Sarpkaya, T., and Isaacson, M. (1981). Mechanics of wave forces on offshore structures. Van Nostrand Reinhold Co., New York, N.Y.
10.
Scarlatos, P., and Singh, V. P. (1987). “Long‐wave transmission through porous breakwaters.” Coast. Engrg., 11(2), 141–157.
11.
Sollitt, C. K., and Cross, R. H. (1972). “Wave transmission through permeable breakwaters.” Proc., 13th Conf. Coast. Engrg., ASCE, New York, N.Y., 1827–1846.
12.
Sulisz, W. (1985). “Wave reflection and transmission at permeable breakwaters of arbitrary cross section.” Coast. Engrg., 9(3), 371–386.
Information & Authors
Information
Published In
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Apr 14, 1993
Published online: May 1, 1994
Published in print: May 1994
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.