Cite this paper:
WANG Liping, XU Xin, LIU Guilin, CHEN Baiyu, CHEN Zhengshou. A new method to estimate wave height of specified return period[J]. Journal of Oceanology and Limnology, 2017, 35(5): 1002-1009

A new method to estimate wave height of specified return period

WANG Liping1, XU Xin1, LIU Guilin2, CHEN Baiyu3, CHEN Zhengshou4
1 College of Mathematical Sciences, Ocean University of China, Qingdao 266100, China;
2 College of Engineering, Ocean University of China, Qingdao 266100, China;
3 Civil and Environmental Engineering, University of California Berkeley, Berkeley, CA 94720, USA;
4 Department of Naval Architecture and Civil Engineering, Zhejiang Ocean University, Zhoushan 316000, China
Abstract:
In this paper, we propose a new method to estimate the wave height of a specific return period based on the Hurst rule and a self-affine fractal formula. A detailed description of our proposed model is presented in this paper. We use the proposed model to analyze wave height data recorded along the coast of Chaolian Island from 1963 to 1989. The results show that the performance of our proposed model in estimating design wave heights is superior to traditional models.
Key words:    Hurst rule|self-affinity|fractal formula|wave height of specific return period   
Received: 2016-03-15   Revised: 2016-05-18
Tools
PDF (433 KB) Free
Print this page
Add to favorites
Email this article to others
Authors
Articles by WANG Liping
Articles by XU Xin
Articles by LIU Guilin
Articles by CHEN Baiyu
Articles by CHEN Zhengshou
References:
Chu W Y. 2004. Fractal Theory in Material Science. Chemical Industrial Press, Beijing, China. p.103-111. (in Chinese)
Huang Y R. 2005. Empirical research on fractal structure of Chinese stock market. Journal of Sun Yatsen University(Social Science Edition), 45(2):97-103. (in Chinese with English abstract)
Hurst H E. 1951. Long-term storage capacity of reservoirs.Transactions of the American Society of Civil Engineers, 116:770-808.
Huseby A R, Vanem E, Natvig B. 2013. A new approach to environmental contours for ocean engineering applications based on direct Monte Carlo simulations. Ocean Engineering, 60:124-135.
Jiang J F, Hu L J, Tang J. 2004. Numerical Analysis and MATLAB Experiments. Science Press, Beijing, China.p.67-70. (in Chinese)
Li H Q, Wang F Q. 1993. Fractional Theory and Its Applications in Molecular Science. Science Press, Beijing, China.p.162-172. (in Chinese)
Mandelbrot B B, Van Ness J W. 1968. Fractional Brownian motions:fractional noises and applications. SIAM Rev., 10(4):422-437.
Mei L M, Shen Z, Chen B H, Wang J Z, Lei F H. 1995. Longterm correlation and self-affinity of ocean wave height time series. Acta Oceanologica Sinica, 17(4):11-21. (in Chinese with English abstract)
Muir L R, El-Shaarawi A H. 1986. On the calculation of extreme wave heights:a review. Ocean Engineering, 13(1):93-118, http://dx.doi.org/10.1016/0029-8018(86)90006-5.
Rajabalinejad M, Demirbilek Z. 2013. A Bayesian probabilistic approach for impacts of sea level rise on coastal engineering design practice. Ocean Engineering, 71:66-73.
Ran M S, Luo Y R, Huang L Y. 2009. Analysis of the Euro exchange rate fluctuations based on fractal theory.Statistics & Decision, (24):138-139, http://dx.doi.org/10.13546/j.cnki.tjyjc.2009.24.057. (in Chinese)
Shi D J. 2006. Practical Statistical Methods for Extreme Values. Tianjin Science and Technology Press, Tianjin, China. p.60-77. (in Chinese)
Wang L P, Chen B Y, Zhang J F, Chen Z S. 2013. A new model for calculating the design wave height in typhoon-affected sea areas. Natural Hazards, 67(2):129-143, http://dx.doi.org/10.1007/s11069-012-0266-6.
Wang L P, Dai W, Qi Y. 2010a. A new model for predicating the design wave heights. Periodical of Ocean University of China, 40(1):54-58. (in Chinese with English abstract)
Wang L P, Liu T J, Han R Y. 2010b. New model for deducing directional extrema based on multivariate extremum statistical theory. Chinese Journal of Oceanology and Limnology, 28(6):1 323-1 328, http://dx.doi.org/10.1007/s00343-010-9129-8.
Wang L P, Sun X G, Lv K B, Xu D L. 2012. A maximumentropy compound distribution model for extreme wave heights of typhoon-affected sea areas. China Ocean Engineering, 26(1):49-58.
Wang L P, Zhang J F, Li Y P, Zhang Y F. 2011. A statistical analysis of typhoon frequency and application in design wave height. Acta Oceanologica Sinica, 30(4):24-32, http://dx.doi.org/10.1007/s13131-011-0130-7.
Zhang H B. 2010. Discussions on the Shanghai stock index self-correlation based on the Hurst Index. Modern Business Trade Industry, (1):177-178. (in Chinese)
Zhao J, Yang S H, Wang N A. 2001. Analysis on urbanized climate effects of Lanzhou based on R/S method.Meteorology, 27(2):7-11, 15. (in Chinese with English abstract)

Related Articles:
1.ZHANG Shuai, LI Tiegang, CHANG Fengming, YU Zhoufei, XIONG Zhifang, WANG Haixia.Correspondence between the ENSO-like state and glacialinterglacial condition during the past 360 kyr[J]. Journal of Oceanology and Limnology, 2017,35(5): 1018-1031
Copyright © Haiyang Xuebao