## Abstract

Empirical criteria (K1-K2> 0 and η-K3 >0) for predicting the presence of hollows in abandoned shallow underground workings in Donetsk city (Ukraine) located in the zone of intensive weathering are proposed. The hollows exist when both inequalities K1-K2>0 and η-K3 >0 are satisfied. The statistical analysis has established that the value of criterion K2 is inversely related to rock quality designation (RQD) and that a decrease in RQD leads to a decrease in K1-K2 and, hence, the probability of the hollow existence is decreased. It is also established that a statistical parameter in the left-hand part of inequality η-K3>0 decreases according to logarithmic law with increasing standard linear intensity of weathering-induced fractures (P10). When the fracture intensity (P10) increases, the probability of the presence of a hollow is decreased. The proposed criteria confirm that a thick immediate roof and sandstone layers contribute to the existence of hollows, whereas weak alluvium, argillites and sandy shale allow a collapse of the rock mass.

Original language | English |
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Title of host publication | Proceedings of the 16th International Association for Mathematical Geosciences - Geostatistical and Geospatial Approaches for the Characterization of Natural Resources in the Environment |

Subtitle of host publication | Challenges, Processes and Strategies, IAMG 2014 |

Editors | N. Janardhana Raju |

Publisher | Capital Publishing Company |

Pages | 44-46 |

Number of pages | 3 |

ISBN (Electronic) | 9789381891254 |

State | Published - 1 Jan 2014 |

Event | 16th International Association for Mathematical Geosciences - Geostatistical and Geospatial Approaches for the Characterization of Natural Resources in the Environment: Challenges, Processes and Strategies, IAMG 2014 - New Delhi, India Duration: 17 Oct 2014 → 20 Oct 2014 |

### Publication series

Name | Proceedings of the 16th International Association for Mathematical Geosciences - Geostatistical and Geospatial Approaches for the Characterization of Natural Resources in the Environment: Challenges, Processes and Strategies, IAMG 2014 |
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### Conference

Conference | 16th International Association for Mathematical Geosciences - Geostatistical and Geospatial Approaches for the Characterization of Natural Resources in the Environment: Challenges, Processes and Strategies, IAMG 2014 |
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Country/Territory | India |

City | New Delhi |

Period | 17/10/14 → 20/10/14 |

## Keywords

- Abandoned working
- Fracture intensity
- Hollow
- Weathered rock

## ASJC Scopus subject areas

- Mathematics (miscellaneous)
- General Earth and Planetary Sciences