Abstract
The problem considered by the MISG was that of rock sizes obtained
during targeted blasting. The goal is to determine the average size distribution
of rocks given the conditions and explosives used. The Kuz-Ram model is an
empirical model that has been used over the past 25 years for estimating
the mean fragment size and distribution. The model is inadequate because it
contains an unknown factor that may vary by an order of magnitude. However,
we also believe it is conceptually awed because important rock properties such as rock brittleness and yield strength are not accounted for `at rst order' and the model result is dimensionally inconsistent. During the MISG a dimensional analysis was performed in an attempt to redress this error. In addition, two new models of the dynamic fracturing process were derived; a `breaking spring model' and a continuum model. The breaking spring model is shown to display the `correct' stress/strain behavior for ductile rock types, but needs modication to handle hard rocks. Initial work on the continuum model seems to give some promise of explaining the rock behaviour during blasting.
during targeted blasting. The goal is to determine the average size distribution
of rocks given the conditions and explosives used. The Kuz-Ram model is an
empirical model that has been used over the past 25 years for estimating
the mean fragment size and distribution. The model is inadequate because it
contains an unknown factor that may vary by an order of magnitude. However,
we also believe it is conceptually awed because important rock properties such as rock brittleness and yield strength are not accounted for `at rst order' and the model result is dimensionally inconsistent. During the MISG a dimensional analysis was performed in an attempt to redress this error. In addition, two new models of the dynamic fracturing process were derived; a `breaking spring model' and a continuum model. The breaking spring model is shown to display the `correct' stress/strain behavior for ductile rock types, but needs modication to handle hard rocks. Initial work on the continuum model seems to give some promise of explaining the rock behaviour during blasting.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the Mathematics in Industry Study Group South Africa MISGSA 2016 |
| Editors | D.P. Mason |
| Publisher | University of the Witwatersrand |
| Number of pages | 22 |
| ISBN (Print) | 9780987033666 |
| Publication status | Published - 2016 |
| Event | 2016 Mathematics in Industry Study Group - University of the Witwatersrand, Johannesburg, South Africa Duration: 1 Feb 2016 → 5 Feb 2016 http://mathsinindustry.com/category/2016/ |
Conference
| Conference | 2016 Mathematics in Industry Study Group |
|---|---|
| Abbreviated title | MISG 2016 |
| Country/Territory | South Africa |
| City | Johannesburg |
| Period | 1/02/16 → 5/02/16 |
| Internet address |