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On the surface roughness characteristics of the land fast sea-ice in the Bohai Sea

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Abstract

The surface roughness characteristics (e.g., height and slope) of sea ice are critical for determining the parameters of an electromagnetic scattering, a surface emission and a surface drag coefficients. It is also important in identifying various ice types, retrieval ice thickness, surface temperature and drag coefficients from remote sensing data. The point clouds (a set of points which are usually defined by X, Y, and Z coordinates that represents the external surface of an object on earth) of land fast ice in five in situ sites in the eastern coast Bohai Sea were measured using a laser scanner-Trimble GX during 2011–2012 winter season. Two hundred and fifty profiles selected from the point clouds of different samples have been used to calculate the height root mean square, height skewness, height kurtosis, slope root mean square, slope skewness and slope kurtosis of them. The root mean square of the height, the root mean square of the slope and the correlation length are about 0.090, 0.075 and 11.74 m, respectively. The heights of 150 profiles in three sites manifest the Gaussian distribution and the slopes of total 250 profiles distributed exponentially. In addition, the fractal dimension and power spectral density profiles were calculated. The results show that the fractal dimension of land fast ice in the Bohai Sea is about 1.132. The power spectral densities of 250 profiles can be expressed through an exponential autocorrelation function.

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References

  • Banke E G, Smith D S. 1973. Wind stress on Arctic sea ice. Journal of Geophysical Research, 78(33): 7871–7883

    Article  Google Scholar 

  • Bendat J S, Piersol A G. 2010. Random Data Analysis and Measurement Procedures. Hoboken: John Wiley & Sons, 79–108

    Book  Google Scholar 

  • Davies S, Hall P. 1999. Fractal analysis of surface roughness by using spatial data. Journal of the Royal Statistical Society Series, B61: 3–37

    Article  Google Scholar 

  • Dierking W. 1995. Laser profiling of the ice surface topography during the winter Weddell gyre study. Journal of Geophysical Research, 100(C3): 4807–4820

    Article  Google Scholar 

  • Ding Dewen. 1999. Introduction of Sea Ice Engineering (in Chinese). Beijing: China Ocean Press, 1–70

    Google Scholar 

  • Franceschetti G, Migliaccio M, Riccio D. 1996. An electromagnetic fractal-based model for the study of fading. Radio Science, 31(6): 1749–1759

    Article  Google Scholar 

  • Gneiting T, Schlather M. 2004. Stochastic models that separate fractal dimension and the Hursteect. SIAM Review, 46: 269–282

    Article  Google Scholar 

  • Gneiting T, Ševčíková H, Percival D B. 2010. Estimators of fractal dimension: assessing the roughness of time series and spatial data, Technical Report No.577. Washington: University of Washington, 1–33

    Google Scholar 

  • Guo Lixin, Wang Rui, Wu Zhensen. 2010. Basic Theory and Methods of Randomly Rough Surface Scattering. Beijing: Science Press, 1–30

    Google Scholar 

  • Gupta M, Scharien R K, Barber D G. 2013. C-band polarimetric coherences and ratios for discriminating sea ice roughness. International Journal of Oceanography, 1–13

    Google Scholar 

  • Hapke B. 1993. Theory of Reflectance and Emittance Spectroscopy. Combridge: Combridge University Press, 358–385

    Book  Google Scholar 

  • Hibler III W D, Leschack L A. 1972. Power spectrum analysis of undersea and surface sea-ice profiles. Journal of Glaciology, 11: 345–356

    Google Scholar 

  • Jaggard D L, Sun X. 1990. Scattering from fractally corrugated surfaces. Journal of the Optical Society of America, 7(6): 1131–1139

    Article  Google Scholar 

  • Jin Yaqiu. 1993. Electromagnetic Scattering and Thermal Radiation Theory of Remote Sensing (in Chinese). Beijing: China Science Press, 194–210

    Google Scholar 

  • Li Xiaowen, Strahler A H, Zhu Qijiang, et al. 1993. Bidirectional reflection of rough surface composed of basic units-Mutual shielding geometric-optical model. Chinese Science Bulletin, 38(1): 86–89

    Google Scholar 

  • Li Zhijun, Kong Xiangpeng, Zang Yong, et al. 2009. Field investigations of piled ice forming in coastal area. Journal of Dalian Maritime University (in Chinese), 35(3): 9–12

    Google Scholar 

  • Liu Chengyu. 2013. A study on characteristics of surface roughness, multi angular optical reflection and thermal infrared emission of sea ice in the Bohai Sea based on in situ measurements [dissertation]. Beijing: Beijing Normal University, 79–85

    Google Scholar 

  • Liu Chengyu, Gu Wei, Li Lantao, et al. 2013. Study on the impact of surface roughness on the directional characteristic of infrared radiation of sea ice in the Bohai Sea. Marine Forecasts, 30(4): 1–11

    Google Scholar 

  • Mai S, Wamser C, Kottmeier C. 1996. Geometric and aerodynamic roughness of sea ice. Boundary-Layer Meteorology, 77: 233–248

    Article  Google Scholar 

  • Mandelbrot B B. 1982. The Fractal Geometry of Nature. New York: Freeman, 25–108

    Google Scholar 

  • Mattia F, Toan T L, Souyris J, et al. 1997. The effect of surface roughness on multifrequency polarimetric SAR data. IEEE Transactions on Geoscience and Remote Sensing, 35(4): 954–966

    Article  Google Scholar 

  • NCSBSOAPRC. 2013. Communique of Maritime Hazard of North China Sea in 2012 (in Chinese). Qingdao: North China Sea Branch of State Oceanic Administration, People’s Republic of China, 15–20

    Google Scholar 

  • Rivas M B, Maslanik J A, Sonntag J G, et al. 2006. Sea ice roughness from airborne LIDAR profiles. IEEE Transactions on Geoscience and Remote Sensing, 44(11): 3032–3037

    Article  Google Scholar 

  • Schuler D L, Lee J, Kasilingam D, et al. 2002. Surface roughness and slope measurements using polarimetric SAR data. IEEE Transactions on Geoscience and Remote Sensing, 40(3): 687–698

    Article  Google Scholar 

  • Steiner N, Harder M, Lemke P. 1999. Sea-ice roughness and drag coefficients in a dynamic-thermodynamic sea-ice model for the Arctic. Tellus, 51A: 964–978

    Article  Google Scholar 

  • Stover J C. 1995. Optical Scattering Measurement and Analysis. Bellingham: SPIE Optical Engineering Press, 45–50

    Book  Google Scholar 

  • Wadhams P. 2000. Ice in the ocean. Amsterdam: Gordon and Breach Science Publishers, 1–73

    Google Scholar 

  • Xu Xiru. 2006. Physical Theory of Remote Sensing (in Chinese). Beijing: Perking University Press, 20–245

    Google Scholar 

Download references

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Correspondence to Wei Gu.

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Foundation item: The National High Technology Research and Development Program of China under contract No. 2011AA100505; the National Key Technology R&D Program of China under contract No. 2006BAB03A03; the State Key Laboratory of Earth Surface Processes and Resource Ecology, Beijing Normal University of China under contract Nos 2010-TD-02 and 2011-TDZD-050.

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Liu, C., Chao, J., Gu, W. et al. On the surface roughness characteristics of the land fast sea-ice in the Bohai Sea. Acta Oceanol. Sin. 33, 97–106 (2014). https://doi.org/10.1007/s13131-014-0509-3

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  • DOI: https://doi.org/10.1007/s13131-014-0509-3

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