摘要
具有分形特征是细颗粒泥沙絮体的重要特性,为了解决目前主要是通过絮体SEM图像研究其2维分形特性的问题,利用SEM图像灰度值重建细颗粒泥沙絮体3维图像,通过MATLAB编程用盒计数法计算絮体3维分形维数;然后基于絮体3维分形维数,推导出细颗粒泥沙静水沉降时清浑交界面的沉降公式,并将其应用在滇池底泥清混交界面的沉降计算中,其计算误差在5%以内。结果表明,直接利用絮体SEM图像计算絮体3维分形维数是可行的,避免了图像处理中人为误差的引入,且通过其推导的沉降公式可用于计算清混交界面的沉速。
An important characteristic of floc formed by fine sediment is its fractal feature,but many researches have been focused on 2-D fractal properties through analyzing SEM image of floc.In order to solve this problem,3-D image of flocs was reconstructed under gray values,and 3-D fractal dimension of flocs was calculated using box-counting method with the help of MATLAB programming.Moreover,a settling formula of interface was derived based on 3-D fractal dimension of flocs and used in the settling calculation of interface of silt in Dianchi Lake,with the calculation error of 5%.The results showed that it is practicable to use grey-scale image to obtain 3-D fractal dimension of flocs,which can avoid man-made error in the image processing,and the formula deduced from 3-D fractal dimension is available to calculate the settling velocity of the interface.
出处
《四川大学学报（工程科学版）》
EI
CAS
CSCD
北大核心
2012年第1期88-92,共5页
Journal of Sichuan University (Engineering Science Edition)
基金
国家自然科学基金资助项目(11072180)
武汉大学自主科研项目(5081010)
