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Inexpensive but technically sound mine pillar design analysis
Author(s) -
Pariseau William G.
Publication year - 1981
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610050407
Subject(s) - pillar , finite element method , plane (geometry) , structural engineering , stress (linguistics) , basis (linear algebra) , factor of safety , series (stratigraphy) , engineering , algorithm , geology , computer science , mathematics , geometry , paleontology , linguistics , philosophy
A simple algorithm (PILLR) for obtaining by two‐dimensional analysis thee essential results that would be obtained in an actual three‐dimensional finite element analysis of stress about mine pillars in flat‐laying stratified rock is presented. A series of comparisons between the distributions of the local factor of safety calculated from the results of three‐dimensional analysis and that obtained in the PILLR two‐dimensional analyses for pillars of length/width ratio ranging from 0.33 to 8.0 shows the algorithm to be quite effective. The average vertical stress over the horizontal mid‐plane of the pillar in the PILLR two‐dimensional analyses is always within 0.5 per cent of the exact average; the local safety factor distribution is always within 10 per cent of the three‐dimensional result. The ratio of the computer core x time product for the 2D' to 3D analyses is approimately 1/150. Additional improvements ard possible, although with the current PILLR algorithm 3D analyses require less than 1 minute for execution. This fact makes technically sound 3D mine pillar design analyses economically feasible on a routine basis.