Analysis of fractal characteristics of mine working geometry for assessing quality of perimeter blasting
Methods of assessing quality of perimeter blasting when driving mine workings are considered. One of the main criteria is achieving “smooth” working contour. It is shown that a working contour line is a fractal object, geometry of which is adequately estimated by the fractional fractal dimensionalit...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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National University of Science and Technology MISiS
2018-09-01
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| Series: | Горные науки и технологии |
| Subjects: | |
| Online Access: | https://mst.misis.ru/jour/article/view/119 |
| _version_ | 1819079705988431872 |
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| author | O. G. Latyshev D. V. Prischepa |
| author_facet | O. G. Latyshev D. V. Prischepa |
| author_sort | O. G. Latyshev |
| collection | DOAJ |
| description | Methods of assessing quality of perimeter blasting when driving mine workings are considered. One of the main criteria is achieving “smooth” working contour. It is shown that a working contour line is a fractal object, geometry of which is adequately estimated by the fractional fractal dimensionality. Determining fractal dimensionality is based on Richardson’s law, connecting the length of an infinitely broken line with a measurement step. An algorithm for calculating the fractal dimensionality in computer software program is presented. Analysis of actual contours of underground workings produced using drilling and blasting operations allowed identifying statistically valid relationship between working surface roughness factor and the value of its fractal dimensionality. A criterion for assessing quality of perimeter blasting is proposed — fractal factor of a working shape. Its value is the ratio of the area of the working equivalent section to its squared perimeter, determined by fractal dimensionality of the contour line. The obtained relationships allow reliable assessing quality of perimeter blasting when driving mine workings. |
| first_indexed | 2024-12-21T19:33:15Z |
| format | Article |
| id | doaj.art-5aa2a232293b43329f877c0d70380ac1 |
| institution | Directory Open Access Journal |
| issn | 2500-0632 |
| language | English |
| last_indexed | 2024-12-21T19:33:15Z |
| publishDate | 2018-09-01 |
| publisher | National University of Science and Technology MISiS |
| record_format | Article |
| series | Горные науки и технологии |
| spelling | doaj.art-5aa2a232293b43329f877c0d70380ac12022-12-21T18:52:39ZengNational University of Science and Technology MISiSГорные науки и технологии2500-06322018-09-013263410.17073/2500-0632-2018-3-26-34Analysis of fractal characteristics of mine working geometry for assessing quality of perimeter blastingO. G. Latyshev0D. V. Prischepa1The Ural State Mining University (URSMU)The Ural State Mining University (URSMU)Methods of assessing quality of perimeter blasting when driving mine workings are considered. One of the main criteria is achieving “smooth” working contour. It is shown that a working contour line is a fractal object, geometry of which is adequately estimated by the fractional fractal dimensionality. Determining fractal dimensionality is based on Richardson’s law, connecting the length of an infinitely broken line with a measurement step. An algorithm for calculating the fractal dimensionality in computer software program is presented. Analysis of actual contours of underground workings produced using drilling and blasting operations allowed identifying statistically valid relationship between working surface roughness factor and the value of its fractal dimensionality. A criterion for assessing quality of perimeter blasting is proposed — fractal factor of a working shape. Its value is the ratio of the area of the working equivalent section to its squared perimeter, determined by fractal dimensionality of the contour line. The obtained relationships allow reliable assessing quality of perimeter blasting when driving mine workings.https://mst.misis.ru/jour/article/view/119perimeter blasting techniqueunderground workingsfractal dimensionalityfractal form factorstress concentration factor |
| spellingShingle | O. G. Latyshev D. V. Prischepa Analysis of fractal characteristics of mine working geometry for assessing quality of perimeter blasting Горные науки и технологии perimeter blasting technique underground workings fractal dimensionality fractal form factor stress concentration factor |
| title | Analysis of fractal characteristics of mine working geometry for assessing quality of perimeter blasting |
| title_full | Analysis of fractal characteristics of mine working geometry for assessing quality of perimeter blasting |
| title_fullStr | Analysis of fractal characteristics of mine working geometry for assessing quality of perimeter blasting |
| title_full_unstemmed | Analysis of fractal characteristics of mine working geometry for assessing quality of perimeter blasting |
| title_short | Analysis of fractal characteristics of mine working geometry for assessing quality of perimeter blasting |
| title_sort | analysis of fractal characteristics of mine working geometry for assessing quality of perimeter blasting |
| topic | perimeter blasting technique underground workings fractal dimensionality fractal form factor stress concentration factor |
| url | https://mst.misis.ru/jour/article/view/119 |
| work_keys_str_mv | AT oglatyshev analysisoffractalcharacteristicsofmineworkinggeometryforassessingqualityofperimeterblasting AT dvprischepa analysisoffractalcharacteristicsofmineworkinggeometryforassessingqualityofperimeterblasting |