Wu Xi, Sun Pengjie, Liu Yu, et al. An icing conductor meteorological model based on estimating the visibility in fog condition. J Appl Meteor Sci, 2012, 23(6): 755-762.
Citation: Wu Xi, Sun Pengjie, Liu Yu, et al. An icing conductor meteorological model based on estimating the visibility in fog condition. J Appl Meteor Sci, 2012, 23(6): 755-762.

An Icing Conductor Meteorological Model Based on Estimating the Visibility in Fog Condition

  • Received Date: 2012-01-16
  • Rev Recd Date: 2012-07-23
  • Publish Date: 2012-12-31
  • By using the daily icing data of Erlangshan Mountains in Sichuan Province during three winter seasons provided by Southwest Electric Power Design Institute and related meteorological data, methods of correlation analysis, regression analysis are used to study the meteorological factors and icing index associated with the icing over Erlangshan Mountains. From the view of physical concept, the main meteorological factors influencing the strength of icing conductor and the microscopic process of conductor icing are analyzed by the fluid mechanics and thermodynamic principles. The theoretical framework of the rime icing conductor model and the glaze icing conductor model are built. By analyzing icing data and conventional meteorological data, it is found that the icing density is not well correlated with other meteorological elements except for temperature. An icing density model is established by the method of nonlinear regression analysis whose fitting correlation ratio is 0.5652. This density model can reflect the real icing density. According to the relationship between the visibility, extinction coefficient and liquid water, the liquid water content and its transportation can be estimated by the visibility.To choose the most proper scheme for Sichuan mountain climate characteristics, liquid water content estimated by different model is compared using observed data. Combined with the observed icing data, Kunkel scheme is selected for fitting test. As a result, it is found there is a good correlation between the growth of icing thickness and the liquid water content. The conductor icing thickness is decomposed into the rime icing which is formed by horizontal droplet and the glaze icing formed by precipitation. An icing process efficiency index is defined for further transformation of the theoretical models of conductor icing.From physical significance analysis, temperature and wind are main influencing factors of the icing process efficiency index. But the icing process efficiency index is not significantly correlated with temperature and it is related to the wind speed with exponential relationship. Based on these results, an icing conductor model is established to achieve the purpose of engineering application. From the analysis of the model fitting results, this icing conductor model can reflect the actual icing conductor on the whole, especially reflecting the trend well. The correlation coefficient between the icing thickness and fitting thickness is 0.8340, and the mean square error of icing thickness is 28.61 mm.
  • Fig. 1  The terrain around ice station of Erlangshan Mountains

    Fig. 2  The correlation between density of conductor icing and temperature

    Fig. 3  The correlation scatter diagram between icing thickness and liquid water transmission

    Fig. 4  The correlation scatter diagram between process efficiency of conductor icing and wind speed

    Fig. 5  The comparison of observed icing process thickness and fitted one

    Fig. 6  The comparison of observed icing thickness and fitted one

    Table  1  Comparison of different visibility and specific extinction parameterization schemes

    参数估计方案 消光系数公式 a b
    Kunkel方案[25] β=144.7W0.88 144.7 0.88
    Eldridge方案[26] β=91.0W0.65 91.0 0.65
    Pinnick方案[27] β=145.0W0.63 145.0 0.63
    Tomasi方案[28] β=65.0W0.67 65.0 0.67
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    Table  2  Comparison of observed liquid water (from reference[29]) and estimated visibility by inversion programs

    实测能见度/m 实测液态水含量
    /(g·m-3)
    Kunkel方案
    /(g·m-3)
    Eldridge方案
    /(g·m-3)
    Pinnick方案
    /(g·m-3)
    Tomasi方案
    /(g·m-3)
    50 0.200 0.036 0.023 0.010 0.042
    100 0.024 0.017 0.008 0.003 0.015
    200 0.010 0.008 0.003 0.001 0.005
    500 0.008 0.003 0.001 0.000 0.001
    1000 0.003 0.001 0.000 0.000 0.001
    10000 0.001 0.000 0.000 0.000 0.000
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    • Received : 2012-01-16
    • Accepted : 2012-07-23
    • Published : 2012-12-31

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