Prediction of the water waves generated by a potential semisubmerged landslide in La Yesca reservoir, Mexico

This paper presents a study of the effects of a potential landslide in La Yesca Reservoir, Jalisco-Nayarit, Mexico. The main purpose of the paper is to predict the maximum wave amplitude, wave run-up, and dam overtopping. The landslide is formed by an unstable slope of more than 24 Mm3 that is partially submerged for the range of the reservoir operation levels. The dynamics of the sliding mass were obtained in detail considering that it moves over a pair of failure surfaces with the potential rupture of a third surface. The paper presents results of a physical model of the reservoir based on Froude similitude (scale 1:200). Impulse waves are produced with a solid wedge shape slide as it moves on rails. The movement was calibrated to reproduce the dynamics of the landslide. Also, numerical modelling of the event was performed with a 2D implicit model that solves the two-dimensional shallow water equations. In this case, the impulse waves were generated at each time increment with the variation of the ground elevation (obtained from the dynamics of the landslide) for the mesh points where the landslide passes. The results of both studies are similar.

[1]  H. Fritz.  PIV applied to landslide generated impulse waves , 2002 .

[2]  Submarine Landslides , 1929, Science.

[3]  J. Liu,et al.  A physical similarity model of an impulsive wave generated by Gongjiafang landslide in Three Gorges Reservoir, China , 2014, Landslides.

[4]  Willi H. Hager,et al.  Landslide generated impulse waves. , 2003 .

[5]  B. Hunt.  Water waves generated by distant landslides , 1988 .

[6]  Philip Watts,et al.  Tsunamis generated by subaerial mass flows , 2003 .

[7]  H. Fritz,et al.  Physical modeling of tsunamis generated by three‐dimensional deformable granular landslides , 2012 .

[8]  Javier Murillo,et al.  A finite volume method for the simulation of the waves generated by landslides , 2009 .

[9]  Carl B. Harbitz,et al.  Model simulations of tsunamis generated by the Storegga Slides , 1992 .

[10]  P. De Girolamo,et al.  Forecasting impulse waves generated by subaerial landslides , 2005 .

[11]  Hermann M. Fritz,et al.  Initial phase of landslide generated impulse waves , 2002 .

[12]  Per A. Madsen,et al.  Tsunami generation, propagation, and run-up with a high-order Boussinesq model , 2009 .

[13]  Willi H. Hager,et al.  Near Field Characteristics of Landslide Generated Impulse Waves , 2004 .

[14]  Adrian E. Scheidegger,et al.  On the prediction of the reach and velocity of catastrophic landslides , 1973 .

[15]  Willi H. Hager,et al.  Plane Impulse Waves in Reservoirs , 2006 .

[16]  Abhishek K Gupta,et al.  Numerical Methods using MATLAB , 2014, Apress.

[17]  Edward K. Noda,et al.  Water Waves Generated by Landslides in Reservoirs , 1970 .

[18]  Michael Olberg,et al.  Polar vortex evolution during the 2002 Antarctic major warming as observed by the Odin satellite , 2005 .

[19]  J. W. Kamphuis,et al.  IMPULSE WAVES GENERATED BY LANDSLIDES , 1970 .

[20]  George Lindfield,et al.  Numerical Methods Using MATLAB , 1998 .

[21]  Helmut J. Körner,et al.  Reichweite und Geschwindigkeit von Bergstürzen und Fließschneelawinen , 1976 .

[22]  Marcello Di Risio,et al.  Analytical Modeling of Landslide-Generated Waves , 2008 .

[23]  V. Heller.  Landslide generated impulse waves: prediction of near field characteristics , 2007 .

[24]  Yin Yueping,et al.  Experimental modeling of tsunamis generated by subaerial landslides: two case studies of the Three Gorges Reservoir, China , 2014, Environmental Earth Sciences.

[25]  Andreas Zweifel,et al.  Impulswellen: Effekte der Rutschdichte und der Wassertiefe , 2004 .

[26]  W. Hager,et al.  Scale effects in subaerial landslide generated impulse waves , 2008 .

[27]  Jm Townson,et al.  SIMULATIONS OF THE WAVES IN LAKE BOTNEN CREATED BY THE RISSA LANDSLIDE . , 1988 .

[28]  Stephan T. Grilli,et al.  Tsunami Generation by Submarine Mass Failure. I: Modeling, Experimental Validation, and Sensitivity Analyses , 2005 .

[29]  P. Watts,et al.  Wavemaker Curves for Tsunamis Generated by Underwater Landslides , 1998 .

[30]  Efim Pelinovsky,et al.  Simplified model of tsunami generation by submarine landslides , 1996 .

[31]  D. Varnes,et al.  Landslide types and processes , 2004 .

[32]  Behzad Ataie-Ashtiani,et al.  Numerical simulation of wave generated by landslide incidents in dam reservoirs , 2011 .

[33]  Y. Shokin,et al.  Modelling surface waves generated by a moving landslide with allowance for vertical flow structure , 2007 .

[34]  Francesco Bregoli,et al.  Setup of an experimental device for high-speed debris flows generating 2D impulse waves , 2011 .

[35]  Philip Watts,et al.  Underwater Landslide Shape, Motion, Deformation, and Tsunami Generation , 2003 .

[36]  Giorgio Bellotti,et al.  Three-dimensional experiments on landslide generated waves at a sloping coast , 2009 .

[37]  B. Ataie‐Ashtiani,et al.  Laboratory investigations on impulsive waves caused by underwater landslide , 2008 .

[38]  Willi H. Hager,et al.  Landslide generated impulse waves. 2. Hydrodynamic impact craters , 2003 .

[39]  Stephan T. Grilli,et al.  Experimental Study of Tsunami Generation by Three-Dimensional Rigid Underwater Landslides , 2007 .

[40]  Richard G. Derwent,et al.  Radiative forcing in the 21st century due to ozone changes in the troposphere and the lower stratosphere , 2003 .

[41]  B. Voight,et al.  Evaluating Hazard of Landslide-Induced Water Waves , 1982 .

[42]  R. Carvalho,et al.  Landslides into reservoirs and their impacts on banks , 2007 .

[43]  C. Mariotti,et al.  Numerical Simulation of Submarine Landslides and Their Hydraulic Effects , 1997 .

[44]  D. Yuk,et al.  Numerical Simulations of Wave Generation by a Vertical Plunger Using RANS and SPH Models , 2008 .

[45]  M. Pastor,et al.  Modelling of fast catastrophic landslides and impulse waves induced by them in fjords, lakes and reservoirs , 2009 .

[46]  B. Ataie-Ashtiani,et al.  Impulsive waves caused by subaerial landslides , 2008 .