四川地形谱特征及中尺度模式水平网格分辨率选取

Spectral characteristics of terrain in the Sichuan basin and the horizontal grid size selection for a mesoscale model

  • 摘要: 四川地形复杂多样,暴雨频发,常诱发山洪、泥石流等灾害。在利用中尺度模式对复杂地形区域的暴雨进行研究时,模式水平分辨率的选取缺乏定量依据。为了揭示四川地形的复杂特征和给中尺度模式水平网格分辨率的选取提供定量依据,利用二维离散余弦变换,对四川地形高度场和暴雨分布场进行谱分解,根据暴雨分布特征分区讨论了四川盆地地形特征,同时利用地形谱方差和数值试验定量讨论了数值模式水平分辨率的选取问题,得到主要结论有:(1)二维离散余弦变换能较好地表现出研究区域各向异性的复杂特征;(2)雅安地区和四川盆地西北部的地形谱与降水谱有较好的同相关系,盆地东北部和盆地中部的地形谱与降水谱在波长较大处出现反相关系;(3)针对某个区域的地形特征,可以通过计算模式能分辨的地形方差与总地形方差的比值来确定合适的中尺度模式水平网格分辨率。

     

    Abstract: In the Sichuan Basin, where terrain is exceedingly complex, torrential rainfall occurs frequently, often leading to flash floods, debris flows and other disasters. When using mesoscale model to study torrential rainfall events over the complex terrain region, the horizontal grid size selection for mesoscale model is lacking in quantitative criteria. In order to reveal the complex terrain features in Sichuan and provide a quantitative basis for the horizontal grid resolution selection for mesoscale models, the two-dimensional discrete cosine transform is used to decompose terrain height fields and torrential rainfall distribution fields in Sichuan, China. Based on the torrential rainfall distribution, four study areas are selected to study spectral characteristics of terrain in the Sichuan Basin. Meanwhile, the issue of selecting the horizontal resolution for the numerical model is quantitatively discussed by using the terrain variance spectrum and numerical experiments. The major results show that: (1) the two-dimensional discrete cosine transform method can successfully demonstrate the anisotropic characteristics of the study areas; (2) terrain height variance and rainfall variance have better in-phase relationship in both the Ya'an region and the northwestern Sichuan Basin, while in the northeastern and central Sichuan Basin, out of phase relationship exists between them at greater wavelengths; (3) concerned with terrain features of a study area, ratio of model-resolved terrain variance to total terrain variance can be used to select the appropriate horizontal grid size for mesoscale models.

     

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