Abstract
Fractal interpolation has been an important method applied to engineering in recent years. It can not only be used to fit smooth curve and stationary data but also show its unique superiorities in the fatting of non-smooth curve and non-stationary data. Through analyzing such characteristic values as average value, standard deviations, skewness and kurtosis of measured backsilting quantities in the Yangtze Estuary 12.5 m Deepwater Channel during 2011–2017, the fractal interpolation method can be used to study the backsilting quantity distribution with time. According to the fractal interpolation made on the channel backsilting quantities from January 2011 to December 2017, there was a good corresponding relationship between the annual (monthly) siltation quantities and the vertical scaling factor. On this basis, a calculation formula for prediction of the backsilting quantity in the Yangtze Estuary Deepwater Channel was constructed. With the relationship between the predicted annual backsilting quantities and the vertical scaling factor, the monthly backsilting quantities can be obtained. Thus, it provides a new method for estimating the backsilting quantity of the Yangtze Estuary Deepwater Channel.
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References
Barnsley, M.F., 1986. Fractal functions and interpolation, Constructive Approximation, 2(1), 303–329.
Gu, F.F., Wan, Y.Y., Shen, Q., Wang, W. and Kong, L.S., 2017. Distribution of the back-siltation in 12.5 m deep navigation channel during a tidal cycle in the Yangtze Estuary, Port & Waterway Engineering, (7), 1–7. (in Chinese)
Li, X.F. and Li, X.F., 2008. Comparison of the accuracy for fractal and Lagrange interpolation, Journal of Natural Science of Heilongjiang University, 25(3), 323–326. (in Chinese)
Lima, A., De Vivo, B., Cicchella. D., Cortini, M. and Albanese, S., 2003. Multifractal IDW interpolation and fractal filtering method in environmental studies: An application on regional stream sediments of (Italy), Campania region, Applied Geochemistry, 18(12), 1853–1865.
Liu, Q.F., Ma, G.W., Liu, Q.Y. and Yang, D.H., 2008. Study of runoff prediction based on fractal interpolation theory, Journal of Hydroelectric Engineering, 27(4), 20–25. (in Chinese)
Liu, M., Wu, H.L., Li, W.H., Liu, G.F. and Guo, W.H., 2011. Observational study on flow and sediment transport overtop** the south leading jetty in the Yangtze Estuary Deepwater Channel Regulation Project, The Ocean Engineering, 29(2), 129–140. (in Chinese)
Luor, D.C., 2017. Statistical properties of linear fractal interpolation functions for random data sets, Fractals, 26(1), 1850009.
Wang, H.Y. and Li, X.J., 2008. Perturbation error analysis for fractal interpolation functions and their moments, Applied Mathematics Letters, 21(5), 441–446.
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Foundation item: This work is financially supported by the National Key R&D Program of China (Grant No. 2017YFC0405400) and the National Natural Science Foundation of China (Grant No. 51479122).
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Li, Lx., Pan, Y. & Li, L. Fractal Characteristics and Prediction of Backsilting Quantity in Yangtze Estuary Deepwater Channel. China Ocean Eng 32, 341–346 (2018). https://doi.org/10.1007/s13344-018-0035-8
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DOI: https://doi.org/10.1007/s13344-018-0035-8