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Colorado School of Mines. Arthur Lakes Library

Study of unstable rock failures using finite difference and discrete element methods, A

Abstract

dc:description.abstract

Case histories in mining have long described pillars or faces of rock failing violently with an accompanying rapid ejection of debris and broken material into the working areas of the mine. These unstable failures have resulted in large losses of life and collapses of entire mine panels. Modern mining operations take significant steps to reduce the likelihood of unstable failure, however eliminating their occurrence is difficult in practice. Researchers over several decades have supplemented studies of unstable failures through the application of various numerical methods. The direction of the current research is to extend these methods and to develop improved numerical tools with which to study unstable failures in underground mining layouts. An extensive study is first conducted on the expression of unstable failure in discrete element and finite difference methods. Simulated uniaxial compressive strength tests are run on brittle rock specimens. Stable or unstable loading conditions are applied onto the brittle specimens by a pair of elastic platens with ranging stiffnesses. Determinations of instability are established through stress and strain histories taken for the specimen and the system. Additional numerical tools are then developed for the finite difference method to analyze unstable failure in larger mine models. Instability identifiers are established for assessing the locations and relative magnitudes of unstable failure through measures of rapid dynamic motion. An energy balance is developed which calculates the excess energy released as a result of unstable equilibria in rock systems. These tools are validated through uniaxial and triaxial compressive strength tests and are extended to models of coal pillars and a simplified mining layout. The results of the finite difference simulations reveal that the instability identifiers and excess energy calculations provide a generalized methodology for assessing unstable failures within potentially complex mine models. These combined numerical tools may be applied in future studies to design primary and secondary supports in bump-prone conditions, evaluate retreat mining cut sequences, asses pillar de-stressing techniques, or perform backanalyses on unstable failures in select mining layouts.

Degree

thesis:*
Name thesis:degree_name
Doctor of Philosophy (Ph.D.)
Level thesis:degree_level
Doctoral
Discipline thesis:degree_discipline
Mining Engineering
Grantor dc:publisher
Colorado School of Mines. Arthur Lakes Library
Year dc:date.issued
2013

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Garvey, Ryan J.
Advisor dc:contributor.advisor
  • Ozbay, M. Ugur
Committee members dc:contributor.committeemember
  • Griffiths, D. V.
  • Mustoe, Graham G. W.
  • Turner, Cameron J.
  • Grubb, John W.

Subjects

dc:subject × 6

Rights

dc:rights
Statement dc:rights
  • Copyright of the original work is retained by the author.
Language dc:language.iso
eng, English

Identifiers

dc:identifier.*
Identifier
T 7229
OAI identifier oai:identifier
oai:repository.mines.edu:11124/78769

Chain of custody

source
Harvested from
Colorado School of Mines
Base URL
repository.mines.edu/server/oai/request
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Garvey, Ryan J.. Study of unstable rock failures using finite difference and discrete element methods, A. Doctoral thesis, Colorado School of Mines. Arthur Lakes Library, 2013. https://hdl.handle.net/11124/78769