Submarine Landslide Generated Waves Modeled Using Depth-Integrated Equations
A mathematical model is derived to describe the generation, and propagation of water waves by a submarine landslide. The model consists of a depth-integrated continuity equation, and a momentum equation, in which the ground movement is a forcing function. These equations include full nonlinear, but weakly dispersive effects. The model is also capable of describing wave propagation from relatively deep water to shallow water. A numerical algorithm is developed for the general fully nonlinear model. As a case study, tsunamis generated by a prehistoric massive submarine slump off the northern coast of Puerto Rico are modeled. The evolution of the created waves, and the large runup due to them is discussed.
KeywordsGround Movement Boussinesq Equation Northern Coast Free Surface Elevation Submarine Landslide
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- 1.Liu, P. L.-F. & Earickson, J. 1983 “A Numerical Model for Tsunami Generation, and Propagation”, in Tsunamis: Their Science, and Engineering (eds. J. Iida, and T. Iwasaki), Terra Science Pub. Co., 227–240.Google Scholar
- 2.Grindlay, N. 1998 “Volume, and Density Approximations of Material Involved in a Debris Avalanche on the South Slope of the Puerto Rico Tench”, Puerto Rico Civil Defense Report.Google Scholar
- 3.Nwogu, O., 1993 “Alternative Form of Boussinesq Equations for Nearshore Wave Propagation”, J. Wtrwy, Port, Coast, and Ocean Engrg., ASCE, 119(6), 618–638.Google Scholar
- 4.Chen, Y., & Liu, P. L.-F., 1995. “Modified Boussinesq Equations, and Associated Parabolic Model for Water Wave Propagation.” J. Fluid Mech., 351–381.Google Scholar
- 5.Wei, G. & Kirby, J. T. 1995. “A Time-Dependent Numerical Code for Extended Boussinesq Equations.” Journal of Waterway, Port, Coastal, and Ocean Engng., 251–261.Google Scholar
- 6.Wei, G., Kirby, J.T., Grilli, S.T., & Subramanya, R., 1995. “A Fully Nonlinear Boussinesq Model for Surface Waves. Part 1. Highly Nonlinear Unsteady Waves,” J. Fluid Mech., 71–92.Google Scholar
- 7.Press, W.H., Flannery, B.P., & Teukolsky, S.A. 1989. “Numerical Recipes,” Cambridge University Press, 569–572.Google Scholar
- 8.Lynett, P., Wu, T-W., & Liu, P. L.-F., 2002. “Modeling Wave Runup with Depth-Integrated Equations,” Coast. Engng, 46(2), 89–107.Google Scholar
- 9.Zelt, J. A. 1991. “The runup of nonbreaking, and breaking solitary waves.” Coast. Engrg., 15, 205–246Google Scholar
- 10.Kennedy, A. B., Chen, Q., Kirby, J. T., and Dalrymple, R. A. 2000. “Boussinesq modeling of wave transformation, breaking, and runup. Part I: 1D.” Journal of Waterway, Port, Coastal, and Ocean Engng., 126(1), 39–47.Google Scholar