本文選題：月海 + 分形理論��； 參考：《地理研究》2014年06期

【摘要】：月海是月球表面的主要地理單元。對月海地貌特征的研究能夠認識月表起伏及其動力學成因。依據(jù)CE-1影像圖和全月球數(shù)字高程模型數(shù)據(jù),提取了南北半球不同緯度地區(qū)、不同填充巖性的典型月海范圍,運用盒維數(shù)法、立方體覆蓋法和多重分形q-Dq語言對月海邊界及其地形表面的地貌特征進行了線和面的描述和研究。結果表明:①分形方法可以有效地描述月球地貌的復雜程度。月海邊界的分維值介于1.065~1.100之間,平均值為1.086,標準差為0.014,在雙對數(shù)坐標下5個月海區(qū)邊界復雜度擬合的直線都近似平行。②月海地形表面的分維值介于2.704~2.852之間,5個月海地形表面的分維值標準差為0.051,lnδ-lnN(δ)圖也近似平行,但截距的離散程度相較于月海邊界的高。③月海地貌多重分析的q-Dq曲線圖總體呈現(xiàn)非遞增趨勢,Dq值在q=-10和q=0時基本達到飽和,但差異較小。④從線、面單分形以及多重分形可見,5個月海均具有分形特征,但彼此之間差異較小。其動力學意義在于它們在形成之后,內(nèi)動力作用基本停止或很小,與分形特征基本一致;而外力主要由隕石撞擊作用少量地改變著月表的面貌,導致在分形特征上表現(xiàn)出差異性。
[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.
【作者單位】： 中國科學院遙感與數(shù)字地球研究所數(shù)字地球重點實驗室;山東省建設發(fā)展研究院;
【基金】：國家自然科學基金項目(41271427) 中國科學院戰(zhàn)略先導性科技專項資助項目(XDA04077200)
【分類號】：P184.8

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