Experimental validation of analytical solutions for estimating the minimum required strength of side-exposed backfill in underground mines
Islem Titey
Key words: box instability tests; experimental validation; paste backfill; side-exposed backfill; Mitchell′s solution
In underground mining with backfill, evaluating the minimum required strength of side-exposed backfill is a routine work for mining or backfill engineer. An analytical solution proposed by Mitchell and coworkers in 1982 is largely used. Since 2012, Li and coworkers have published several improvements to the original Mitchell 1982 solution after taking into account several limitations identified in the Mitchell 1982 model. In addition, Liu and coworkers have shown that the Mitchell 1982 solution was developed for short-term stability analysis, implicitly considering the backfill under an unconsolidated and undrained condition. For backfill after a prolonged period of curing, the Mitchell 1982 solution should not be suitable. The improved solutions of Li and coworkers should seem to be used. However, the improved solutions of Li and coworkers have never been validated by experimental results for side-exposed backfill under different conditions. To fill this gap, a series of box instability tests were conducted using an uncemented paste backfill to experimentally validate the analytical solutions of Li and Aubertin (2012, 2014) and Li (2014a) under high aspect ratio geometry and undrained conditions for short-term stability analysis. The measured unconfined compressive strength (UCS) values were used to calibrate and predict backfill behavior through comparison with analytical results. The results indicate that the new analytical solutions, which incorporate realistic boundary and interface conditions, provide a more accurate and representative estimation of short-term backfill stability than the original Mitchell et al. (1982) formulation. In this article, the laboratory tests and the comparisons between the experimental results and analytical solutions will be presented and discussed.