Fractal Dimension on Describing the Gradation of Gravel Formations

• Main Authors: Jia-Liang Juo, 卓佳良
• Other Authors: Zon-Yee Yang
• Format: Others
• Language: zh-TW
• Published: 1999
• Online Access: http://ndltd.ncl.edu.tw/handle/08728948596741394132

碩士 === 淡江大學 === 土木工程學系 === 87 === Abstract: According to the shape of particle size distribution curves, we can get the range and the distribution shape of particle size in soil. We can''t know the distribution character around particles in soil. Fractal dimension D of the fractal thesis can be used to describe the aliquant of the particle distribution, so it indicates the packing degree of gravel particles in a plane or space. During the study, it is used the account methods of the self-similarity dimension and box dimension to get the fractal dimension of the particles in field. Taking picture and sieve analysis test is the ways of the research. It concludes that: (1) Adding the sampling ranges in 66k, Wuku and Sunyee, we can get approximate fractal dimension in different analysis ranges and it indicates the local areas have the character of self-similarity distribution. (2) The fractal dimension of 59k approximately equals to 66k and their dimensions are bigger than Wuku and Sunyee, it concludes that the gradation of 59k and 66k have many small particles packing around big particles. (3) The self-similarity dimension of the sieve analysis and the field photo are very approximate, it concludes that gravel in lab test won''t be impacted very much by the principle of bell-shaped distribution. (4) Lab tests of dimension Dg and box dimension DB can''t indicate the gravel gradations in different local areas.