基于CE-1数据的数字月海分形刻画及其动力学意义

发布时间：2018-06-26 07:32

本文选题：月海 + 分形理论　；参考：《地理研究》2014年06期

【摘要】：月海是月球表面的主要地理单元。对月海地貌特征的研究能够认识月表起伏及其动力学成因。依据CE-1影像图和全月球数字高程模型数据,提取了南北半球不同纬度地区、不同填充岩性的典型月海范围,运用盒维数法、立方体覆盖法和多重分形q-Dq语言对月海边界及其地形表面的地貌特征进行了线和面的描述和研究。结果表明:①分形方法可以有效地描述月球地貌的复杂程度。月海边界的分维值介于1.065~1.100之间,平均值为1.086,标准差为0.014,在双对数坐标下5个月海区边界复杂度拟合的直线都近似平行。②月海地形表面的分维值介于2.704~2.852之间,5个月海地形表面的分维值标准差为0.051,lnδ-lnN(δ)图也近似平行,但截距的离散程度相较于月海边界的高。③月海地貌多重分析的q-Dq曲线图总体呈现非递增趋势,Dq值在q=-10和q=0时基本达到饱和,但差异较小。④从线、面单分形以及多重分形可见,5个月海均具有分形特征,但彼此之间差异较小。其动力学意义在于它们在形成之后,内动力作用基本停止或很小,与分形特征基本一致;而外力主要由陨石撞击作用少量地改变着月表的面貌,导致在分形特征上表现出差异性。
[Abstract]:The lunar sea is the main geographical unit of the lunar surface. The study of the geomorphological characteristics of the lunar sea can recognize the lunar surface undulation and its dynamic origin. Based on the CE-1 image map and the digital elevation model data of the whole moon, the typical lunar sea ranges of different latitudes and different filling lithology in the northern and southern hemispheres were extracted, and the box dimension method was used. Cubic coverage method and multifractal q-Dq language are used to describe and study the geomorphologic features of the lunar sea boundary and its topographic surface. The results show that the 1: 1 fractal method can effectively describe the complexity of the lunar geomorphology. The fractal dimension of the boundary of the lunar sea is between 1.065 and 1.100. The average value is 1.086 and the standard deviation is 0.014. In the logarithmic coordinates, the fractal dimension of the surface of the 5-month sea area is approximately parallel to 2.2. the fractal dimension of the surface of the 5-month sea surface is between 2.704 and 2.852, and the standard deviation of the fractal dimension of the 5-month sea surface is equal to that of the 5-month sea surface. The 0. 051 ln 未 -lnN (未) diagram is also approximately parallel. However, the discrete degree of intercept is higher than that of the sea boundary of the moon. 3. The q-Dq curve of multiple analysis of the geomorphology of the lunar sea shows a general trend of non-increasing trend. The DQ value reaches saturation basically at the time of q-10 and Q = 0, but the difference is smaller than that of the curve. Surface single fractal and multifractal can be seen, 5 months of sea have fractal characteristics, but the difference between each other is small. Its dynamic significance lies in the fact that after their formation, the internal dynamic action basically stops or is very small, which is basically consistent with the fractal characteristics, while the external force mainly changes the appearance of the moon surface by meteorite impact. It leads to the difference in fractal features.
【作者单位】：中国科学院遥感与数字地球研究所数字地球重点实验室;山东省建设发展研究院;
【基金】：国家自然科学基金项目(41271427) 中国科学院战略先导性科技专项资助项目(XDA04077200)
【分类号】：P184.8

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