Variation characteristics of fractal dimension of eroded sediment under different rainfall conditions
Liu Miao, Wu Yuanyuan, Yang Mingyi, Zhang Fengbao
1. State Key Laboratory of Soil Erosion and Dryland Farming on the Loess Plateau, Institute of Soil and Water Conservation, Chinese Academy of Sciences and Ministry of Water Resources, 712100, Yangling, Shaanxi,China; 2. University of Chinese Academy of Sciences, 100049, Beijing,China; 3. Institute of Soil and Water Conservation, Northwest A&F University, 712100, Yangling, Shaanxi, China
采用室内人工模拟降雨试验,设计试验坡度为10°、15°、20°、25°,降雨强度为90 和120 mm/ h,坡长为5 和7m,研究不同降雨条件下降雨过程中侵蚀泥沙分形维数的变化特征。结果表明:1)侵蚀泥沙分形维数与黏粒、粉粒体积分数呈极显著正相关,与砂粒体积分数呈极显著负相关;2)侵蚀泥沙分形维数随降雨强度增强有减小趋势,受坡度、坡长影响变化规律不明显,在5 m 坡长条件下,侵蚀泥沙分形维数随着降雨历时的延长有先降低后升高趋势,7 m 坡长条件下,10°、15°坡度情况下,侵蚀泥沙分形维数随降雨历时变化规律不明显,而在20°、25°坡度情况下,侵蚀泥沙分形维数有随降雨历时增大趋势;3)坡度为10°的条件下,细沟出现后侵蚀泥沙分形维数明显小于细沟出现前,在坡度为15°、20°、25°条件下,细沟出现后侵蚀泥沙分形维数明显高于细沟出现前。
Indoor rain simulation experiments were conducted in this study under different slope degrees (10°,15°,20°,25°),rainfall intensities (90,120 mm/ h) and slope lengths(5,7 m). The variation characteristics of fractal dimension of eroded soil particle composition under different rainfall conditions were analyzed. Results showed that the fractal dimension of soil particles was significantly positively correlated with clay and silt content of soil. There was a significantly negative correlation between fractal dimension and sand content of soil. The fractal dimension decreased as rainfall intensity increased, and the effects of slope degree and length were not obvious. Under the condition of 5 m slope length, fractal dimension showed the tendency of first declining then rising with rainfall duration. Under the condition of 7 m slope length, fractal dimension increased with rainfall duration under 20°and 25°slope conditions, while there was no obvious changing regulation under 10°and 15°slope conditions. The fractal dimension after rill appeared was lower than that before rill appeared under the 10°slope condition, significantly higher than that before rill appeared under 15°, 20°and 25°conditions.