New Prediction Formula for Pore Pressure Distribution inside Rubble-Mound Breakwater Core
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 146, Issue 3
Abstract
A new prediction formula is proposed to determine wave-induced pore pressure height distribution inside the core of rubble-mound breakwaters. Existing observed field and experimental data in the literature have been examined, and a valuable database has been obtained. Using dimensional analysis, a new wave damping parameter has been derived. In comparison with the existing empirical Biesel's formula, the proposed prediction formula directly takes into account the influence of the mean diameter of the core material, water depth, and important wave parameters such as incident wave height and wavelength, and there is no more necessity to assume appropriate values for the seepage coefficient and the material coefficient that are essentially needed for Biesel's formula. The new prediction formula presented here has its merits in providing an alternative form and insight into the physics of phenomena.
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References
Barenblatt, G. I. 1987. Dimensional analysis. New York: Gordon and Breach Science.
Biesel, F. 1950. “Equations de l’écoulement non lent en milieu perméable.” [In French.] La Houille Blanche 2 (Mars–Avril): 157–160.
Brunone, B., and G. R. Tomasicchio. 1995. “Impact of coefficients in momentum equation on selection of inertial models.” J. Hydraul. Res. 33 (5): 720–722. https://doi.org/10.1080/00221689509498567.
Brunone, B., and G. R. Tomasicchio. 1996. “Wave induced velocities at a rubble mound breakwater.” In Proc., 25th Int. Conf. on Coastal Engineering, 1569–1582. Reston, VA: ASCE.
Brunone, B., and G. R. Tomasicchio. 1997. “Wave kinematics at steep slopes: Second-order model.” J. Waterway, Port, Coastal, Ocean Eng. 123 (5): 223–232. https://doi.org/10.1061/(ASCE)0733-950X(1997)123:5(280).
Burcharth, H. F., and O. K. Andersen. 1995. “On the one-dimensional steady and unsteady porous flow equations.” Coastal Eng. 24 (3–4): 233–257. https://doi.org/10.1016/0378-3839(94)00025-S.
Burcharth, H. F., M. Christensen, T. Jensen, and P. Frigaard. 1998. “Influence of core permeability on Accropode armour layer stability.” In Proc., Int. Conf. on Coastlines, Structures and Breakwaters, 1–12. London: Thomas Telford.
Burcharth, H. F., Z. Liu, and P. Troch. 1999. “Scaling of core material in rubble mound breakwater model tests.” In Proc., 5th Int. Conf. on Coastal and Port Engineering in Developing Countries, edited by G. P. Mocke, 1518–1528. Cape Town, South Africa: Council for Scientific and Industrial Research.
Bürger, W., H. Oumeraci, and H. W. Partenscky. 1988. “Ceohydraulic investigations of rubble mound breakwaters.” In Proc., 21st Int. Conf. on Coastal Engineering, 2242–2256. Reston, VA: ASCE.
Cantelmo, C., W. Allsop, and S. Dunn. 2010. “Wave pressures in and under rubble mound breakwaters.” In Proc. 3rd Int. Conf. on the Application of Physical Modelling to Port and Coastal Protection, 1–10. Barcelona, Spain: Coastlab 10.
Darcy, H. 1856. Exposition et Application des Principes a Suivre et des Formulesa Employer dans les Questions de Distribution d'Eau. Edited by Dalmont, V., 647. Paris: Les Fontaines Publiques de la Ville de Dijon.
Forchheimer, P. 1901. “Wasserbewegung durch boden.” [in German.] Zeitschrifft des Vereines deutcher Ingenieure, Düsseldorf Deutscher In 1857–1954. 45.
Guanche, R., A. Iturrioz, and I. J. Losada. 2015. “Hybrid modeling of pore pressure damping in rubble mound breakwaters.” Coastal Eng. 99: 82–95. https://doi.org/10.1016/j.coastaleng.2015.02.001.
Jensen, O. J., and P. Klinting. 1983. “Evaluation of scale effects in hydraulic models by analysis of laminar and turbulent flows.” Coastal Eng. 7 (4): 319–329. https://doi.org/10.1016/0378-3839(83)90002-9.
Jensen, B., N. G. Jacobsen, and E. D. Christensen. 2014. “Investigations on the porous media equations and resistance coefficients for coastal structures.” Coastal Eng. 84: 56–72.
Losada, I. J., J. L. Lara, and M. del Jesus. 2016. “Modeling the interaction of water waves with porous coastal structures.” J. Waterway, Port, Coastal, Ocean Eng. 142 (6): 03116003. https://doi.org/10.1061/(ASCE)WW.1943-5460.0000361.
Muttray, M. O., and H. Oumeraci. 2005. “Theoretical and experimental study on wave damping inside a rubble mound breakwater.” Coastal Eng. 52 (8): 709–725. https://doi.org/10.1016/j.coastaleng.2005.05.001.
Oumeraci, H., and H. W. Partenscky. 1990. “Wave-induced pore pressure in rubble mound breakwaters.” In Proc., 22nd Int. Conf. on Coastal Engineering, 1334–1347. Reston, VA: ASCE.
Schlütter, F., P. Frigaard, B. Eelen, P. Troch, J. De Rouck, A. W. Lewis, J. Murphy, and K. Kingston. 1996. “Flow in and on the Zeebrugge breakwater.” In Proc., 2nd Int. Conf. on Coastal, Ports and Marine Structures. 1–14, Tehran, Iran: Marine Science and Technology.
Troch, P. 2001. “Experimental study and numerical modelling of pore pressure attenuation inside a rubble mound breakwater.” PIANC Bull. 109: 1–28.
Troch, P., M. De Somer, J. De Rouck, L. Van Damme, D. Vermeir, J. P. Martens, and C. Van Hove. 1996. “Full scale measurements of wave attenuation inside rubble mound breakwater.” In Proc., 25th Int. Conf. on Coastal Engineering, 1916–1929. Reston, VA: ASCE.
Vanneste, D., and P. Troch. 2010. “Experimental research on pore pressure attenuation in rubble-mound breakwaters.” In Proc., 32nd Int. Conf. on Coastal Engineering, Shanghai, China. New York: Coastal Engineering Research Council.
Vanneste, D., and P. Troch. 2012. “An improved calculation model for the wave-induced pore pressure distribution in a rubble-mound breakwater core.” Coastal Eng. 66: 8–23. https://doi.org/10.1016/j.coastaleng.2012.03.007.
Vanneste, D., and P. Troch. 2015. “2D numerical simulation of large-scale physical model tests of wave interaction with a rubble-mound breakwater.” Coastal Eng. 103: 22–41. https://doi.org/10.1016/j.coastaleng.2015.05.008.
Whitaker, S. 1996. “The Forchheimer equation: A theoretical development.” Transp. Porous Media 25 (1): 27–61. https://doi.org/10.1007/BF00141261.
Wibbeler, H., and H. Oumeraci. 1992. “Finite element simulation of wave-induced internal flow in rubble mound structures.” In Proc., 23rd Int. Conf. on Coastal Engineering, 1706–1719. Reston, VA: ASCE.
Wolters, G., M. Van Gent, B. Hofland, and P. Wellens. 2014. “Wave damping and permeability scaling in rubble mound breakwaters.” In Proc., 5th Int. Conf. on the Application of Physical Modelling to Port and Coastal Protection, Coastlab14, 1–11. Varna, Bulgaria: Black Sea—Danube Coastal Research Association (BDCA).
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© 2020 American Society of Civil Engineers.
History
Received: Jun 14, 2018
Accepted: Aug 21, 2019
Published online: Mar 17, 2020
Published in print: May 1, 2020
Discussion open until: Aug 17, 2020
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