Applying Fractal Dimension to the Effects of Root System on Slope Soil Displacement

摘要

Based on the box-counting dimension method of fractal theory,a set of computing image fractal dimension software Fractal 1.0 was developed which can be used to determine the root fractal dimension of plants.By combining the theory of fractal with the finite element theory,the effects of root system fractal dimension on the amount of displacement taking place on the surface of slope were studied.By analyzing the relationship between them from different aspects,the results indicate that fractal dimension can be regarded as the parameter of root system,the effects of different root systems on the stability of soil in slope surface were quantitatively characterized through integrating fractal dimension with finite element method.