## Abstract

A computer program was developed to estimate the fractal dimension (D), based on the box-counting technique. It was verified by estimating D of the triadic Koch curve for which the theoretical D is known. The influence of a number of input parameters of the box counting method on the estimated D was evaluated using the same Koch curve. Employed size range of the applied box networks was found to be the parameter which has the strongest influence on estimated D. The computer program was then applied to different block sizes sampled from three generated two dimensional joint patterns to estimate the box fractal dimension. Results indicated that the box fractal dimension can capture the combined influence of joint size distribution and joint density on the statistical homogeneity of rock masses. For the same block sizes sampled p from the three generated joint networks, the first invariant of fracture tensor (I\ ) was calculated. Results indicated the capability of I\ to capture the combined effect of joint size and joint density on the statistical homogeneity of rock masses.

Original language | English (US) |
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Title of host publication | 2nd North American Rock Mechanics Symposium, NARM 1996 |

Editors | Hassani, Mitri, Aubertin |

Publisher | American Rock Mechanics Association (ARMA) |

Pages | 1779-1786 |

Number of pages | 8 |

ISBN (Print) | 905410838X, 9789054108382 |

State | Published - Jan 1 1996 |

Event | 2nd North American Rock Mechanics Symposium, NARM 1996 - Montreal, Canada Duration: Jun 19 1996 → Jun 21 1996 |

### Other

Other | 2nd North American Rock Mechanics Symposium, NARM 1996 |
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Country | Canada |

City | Montreal |

Period | 6/19/96 → 6/21/96 |

## ASJC Scopus subject areas

- Geotechnical Engineering and Engineering Geology
- Geology
- Geophysics