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Mathematical Problems in Engineering
Volume 2017, Article ID 3252498, 11 pages
Research Article

Shallow-Water-Equation Model for Simulation of Earthquake-Induced Water Waves

1School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China
2Civil Aviation Flight University of China, Guanghan, Sichuan 618307, China
3Road and Railway Engineering Research Institute, Sichuan Key Laboratory of Seismic Engineering and Technology, Chengdu 610031, China
4MOE Key Laboratory of High-Speed Railway Engineering, Chengdu 610031, China
5Key Laboratory of Mountain Surface Process and Hazards, CAS, Chengdu 610041, China

Correspondence should be addressed to Lingkan Yao; nc.ude.utjws@kloay

Received 13 April 2017; Accepted 7 June 2017; Published 7 August 2017

Academic Editor: Ling Qian

Copyright © 2017 Hongzhou Ai et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A shallow-water equation (SWE) is used to simulate earthquake-induced water waves in this study. A finite-difference method is used to calculate the SWE. The model is verified against the models of Sato and of Demirel and Aydin with three kinds of seismic waves, and the numerical results of earthquake-induced water waves calculated using the proposed model are reasonable. It is also demonstrated that the proposed model is reliable. Finally, an empirical equation for the maximum water elevation of earthquake-induced water waves is developed based on the results obtained using the model, which is an improvement on former models.