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Summary Fractal descriptions have been proved to be a valuable tool in characterising irregular natural shapes. In particular, the discontinuity network of a real rock mass shows such a property. Therefore, the fractal geometry could help in describing the in situ state of the rock mass, which is an important task to be conducted before the practical implementation of any project involving rock mechanics problems. The present paper presents the results of an investigation conducted to estimate the box-counting fractal dimension using 3D stochastic simulations of discontinuity networks generated by the SIMBLOC program. The first part presents the adopted algorithm whereas the second part is devoted to the application of the algorithm to three quarry sites: Klinthagen (Sweden), Eibenstein (Austria) and El Alto (Spain). The computed fractal dimension parameter is used as a measure of the irregularity of the discontinuity network at each site and to assess the differences between the three rock masses with regards to the discontinuity network density and joint size distribution.
Summary Fractal descriptions have been proved to be a valuable tool in characterising irregular natural shapes. In particular, the discontinuity network of a real rock mass shows such a property. Therefore, the fractal geometry could help in describing the in situ state of the rock mass, which is an important task to be conducted before the practical implementation of any project involving rock mechanics problems. The present paper presents the results of an investigation conducted to estimate the box-counting fractal dimension using 3D stochastic simulations of discontinuity networks generated by the SIMBLOC program. The first part presents the adopted algorithm whereas the second part is devoted to the application of the algorithm to three quarry sites: Klinthagen (Sweden), Eibenstein (Austria) and El Alto (Spain). The computed fractal dimension parameter is used as a measure of the irregularity of the discontinuity network at each site and to assess the differences between the three rock masses with regards to the discontinuity network density and joint size distribution.
A Fractal Description of Simulated 3D Discontinuity Networks
Hamdi, E. (author)
2006
Article (Journal)
English
Local classification TIB:
560/4815/6545
BKL:
38.58
Geomechanik
/
56.20
Ingenieurgeologie, Bodenmechanik
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