Program Implementation of Fractal Dimension Algorithm of Orientation Pole Distribution for Joints
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Abstract:
The distribution characteristics of joints with dominant orientation are difficult to determine because of the randomness and nonuniformity of spatial distribution of joints, and fractal dimension D is an important approach to describe quantitatively the orientation distribution using the boundary combination based on the judgment of instable block with stereographic projection. According to the mesh generation method of equatorial circle in fractal dimension D, the corresponding program was designed in this paper. In the design process, dip direction and dip angle were converted to polar coordinates and to realize the numerical representation of orientation pole distribution for joints. The program was designed with Visual Basic for Applications (VBA) and the data were processed directly in Excel, which made the program easy to operate and was beneficial to promote the application in the fractal dimension algorithm of orientation pole distribution for joints. Finally, based on the data of six sets of dominant joints collecting from the left dam foundation in the Dagangshan Hydropower Station, the fractal dimension D of six sets of dominant joints of the foundation rock was calculated before and after the excavation, which was verified with the conclusions on the fractal dimension D of orientation pole distribution for joints in previous studies, indicating the correctness and feasibility of the program.
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