Wave Damping by Soil Motion
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 111, Issue 1
Abstract
Wave damping by wave‐soil interactions is examined quantitatively. The dispersion relation is obtained explicitly. It is found that the Coulomb friction between soil grains is by far the most important wave damping mechanism in soft soil beds, e.g., clays and silts. This mechanism is highly nonlinear owing to the dynamic softening behavior of soils. Large waves damp much quicker than small waves. Simple formulas and charts are presented for estimation of the wave damping by soil motion. Wave lengths are also modified by the bed motion by up to
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References
1.
Biot, M. A., “General Theory of Three‐Dimensional Consolidation,” Journal of Applied Physics, Vol. 12, 1941, pp. 155–164.
2.
Biot, M. A., “Mechanics of Deformation and Acoustic Propagation in Porous Media,” Journal of Applied Physics, Vol. 33, 1962, pp. 1482–1498.
3.
Bretschneider, C. L., and Reid, R. O., “Modification of Wave Height due to Bottom Friction, Percolation, and Refraction,” TM‐45, U.S. Army, Corps of Engineers, Beach Erosion Board, Washington, D.C., 1954.
4.
Dalrymple, R. A., and Liu, P. L. F., “Wave over Soft Muds: A Two‐Layer Fluid Model,” Journal of Physical Oceanography, Vol. 8, 1978, pp. 1121–1131.
5.
Forristall, G. Z., Reece, M. A., Thro, M. E., Ward, E. G., Doyle, E. H., and Hamilton, R. C., “Sea Wave Attenuation due to Deformable Bottoms,” presented at the 1980, ASCE Annual Convention, held at Hollywood, Fla. (Preprint 80‐536).
6.
Gade, H. G., “Effects of a Non‐rigid, Impermeable Bottom on Plane Surface Waves in Shallow Water,” Journal of Marine Research, Vol. 16, 1957, pp. 61–82.
7.
Hardin, B. O., and Drnevich, V. P., “Shear Modulus and Damping in Soils: Design Equations and Curves,” Proceedings, ASCE, SM7, 1972, pp. 667–692.
8.
Hsiao, S. V., and Shemdin, O. H., “Interaction of Ocean Waves with a Soft Bottom,” Journal of Physical Oceanography, Vol. 10, 1980, pp. 605–610.
9.
Ishihara, K., “Fundamentals of Soil Dynamics,” Kashima Press, 1976, Tokyo, Japan.
10.
Madsen, O. S., “Wave‐Induced Pore Pressures and Effective Stresses in a Porous Bed,” Geotechnique 28, No. 4, 1978, pp. 377–393.
11.
Mei, C. C., and Foda, M. A., “Wave‐Induced Response in a Fluid‐filled Poro‐Elastic Soil with a Free Surface: A Boundary Layer Theory,” Geophysics, Vol. 66, 1981, pp. 597–631.
12.
Mindlin, R. D., and Deresfewicz, H., “Elastic Spheres in Contact under Varying Oblique Forces,” Journal of Applied Mechanics, 1953, pp. 327–344.
13.
Nagia, T., Figueroa, L., and Yamamoto, T., “Nonlinear Mechanics of Sea‐Bed Interactions: Part III—Wave Tank Experiments on Soil Mass Transport in Clay Beds Associated with Wave Damping,” Technical Report No. 83008, prepared for National Science Foundation, RSMAS, University of Miami, Miami, Fla.
14.
Putnam, J. A., “Loss of Wave Energy due to Percolation in a Permeable Sea Bottom,” Transactions, American Geophysical Union, Vol. 30, No. 3, 1949, pp. 349–356.
15.
Putnam, J. A., and Johnson, J. W., “The Dissipation of Wave Energy by Bottom Friction,” Transactions, American Geophysical Union, Vol. 30, No. 1, 1949, pp. 67–74.
16.
Ramberg, W., and Osgood, W. R., “Description of Stress‐Strain Curves in Three Parameters,” Technical Note 902, National Advisory Committee for Aeronautics, Washington, D.C., 1943.
17.
Reid, R. O., and Kajiura, K., “On the Damping of Gravity Waves over a Permeable Seabed,” Transactions, American Geophysical Union, 1957.
18.
Schuckman, B., and Yamamoto, T., “Nonlinear Mechanics of Sea‐Bed Interactions: Part II—Wave Tank Experiments on Water Wave Damping by Motion of Clay Beds,” Technical Report 82‐1, prepared for National Science Foundation, RSMAS, University of Miami, Miami, Fla.
19.
Seed, H. B., and Idriss, I. M., “Soil Moduli and Damping Factors for Dynamic Response Analysis,” Report No. EERC 70‐10, University of California, Berkeley, Calif., 1970.
20.
Shore Protection Manual, 3rd ed., Vols. I, II, and III, Stock No. 008‐022‐00113‐1, U.S. Government Printing Office, Washington, D.C., 1977, 1262 pp.
21.
Takahashi, S., “Simple Method for Water Wave Damping by Sea‐Seabed Interactions,” thesis presented to the University of Miami, at Miami, Fla., in 1982, in partial fulfillment of the requirements for the degree of Master of Science.
22.
Tubman, M. W., and Suhayda, J. N., “Wave Action and Bottom Movements in Fine Sediments,” Proceedings, 15th Annual Coastal Engineering Conference, ASCE, 1976, pp. 1168–1183.
23.
Yamamoto, T., “Wave‐Induced Instability in Seabed,” Proceedings, ASCE Specialty Conference on Coastal Sediments, 1977, pp. 898–913.
24.
Yamamoto, T., Koning, H. L., Sellmeijer, H., and Van Hijum, E., “On the Response of the Poro‐Elastic Bed to Water Wave,” Journal of Fluid Mechanics, Vol. 87, Part 1, 1978, pp. 193–206.
25.
Yamamoto, T., “Wave‐Induced Pore Pressures and Effective Stresses in Inhomogeneous Seabed Foundations,” Ocean Engineering, Vol. 8, 1981, pp. 1–16.
26.
Yamamoto, T., “Wave Spectrum Transformation by Sea‐Mud Bed Interaction: Part I—Stepwise Horizontal Bed of Infinite Thickness,” Technical Report, prepared for Shell Development Company, 1981.
27.
Yamamoto, T., “Nonlinear Mechanics of Water Wave Interactions with Sediment Beds,” Applied Ocean Research, Vol. 4, No. 2, 1982, pp. 99–106.
28.
Yamamoto, T., “On the Response of a Coulomb‐damped Poro‐Elastic Bed to Water Waves,” Marine Geotechnology, Vol. 5, No. 2, 1983, pp. 93–130.
29.
Yamamoto, T., “Numerical Integration Method for Seabed Response to Water Waves,” Journal of Soil Dynamics and Earthquake Engineering, Vol. 2, No. 2, 1983, pp. 92–100.
30.
Yamamoto, T., Takahashi, S., and Schuckman, B., “Physical Modeling of Sea‐Seabed Interactions,” Journal of Engineering Mechanics, ASCE, Vol. 109, No. 1, 1983, pp. 54–72.
31.
Yamamoto, T., and Schuckman, B., “Experiments and Theory of Wave‐Soil Interactions,” Journal of Engineering Mechanics, ASCE, Vol. 110, No. 1, 1984, pp. 95–112.
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Copyright © 1985 ASCE.
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Published online: Jan 1, 1985
Published in print: Jan 1985
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