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Lateral Variation of the Vertical Stress in Underground Mine Stopes Filled with Granular Backfills

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Abstract

Marston’s theory and its modifications are widely used to predict the average vertical stress variation with depth within mine stopes. However, this does not model the lateral variation in vertical stress at a particular depth. In this study, a mathematical expression to simulate the vertical stress variation is developed using the experimental shear stress data of granular backfill. The developed model is validated against average vertical stress measured in the experiment. Therefore, the developed model has the advantage of determining both the average vertical stress and its distribution respectively, at a particular depth and a cross sectional area of the mine stope.

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References

  • Aubertin M, Li L, Arnoldi S, Belem T, Bussière B, Benzaazoua M, Simon R (2003) Interaction between backfill and rock mass in narrow stopes. In: Proceedings of the 12th Pan American conference on soil mechanics and geotechnical engineering, and 39th U.S. Rock Mechanics Symposium, Massachusetts Institute of Technology (MIT), Cambridge, MA, pp 1157–1164

  • Caceras CA (2005). Effect of delayed backfill on open stope mining methods, MASc thesis. University of British Columbia, Vancouver

  • Janssen H (1895) Versuche uber Getreidedruck in Silozellen. Z Ver Dtsch Ing 39(35):1045–1049 (in German)

    Google Scholar 

  • Li L, Aubertin M (2007) An improved method for estimating the stress state in sub-vertical backfilled stopes. In: Proceedings of 60th Canadian Geotechnical Conference and the 8th Joint CGS/IAH-CNC Groundwater Conference, Ottawa, pp 2199–2206

  • Li L, Aubertin M (2010) An analytical solution for the nonlinear distribution of effective and total stresses in vertical backfilled stopes. Geomech Geoeng Int J 5(4):237–245

    Article  Google Scholar 

  • Li L, Aubertin M, Simon R, Bussière B, Belem T (2003) Modeling arching effects in narrow backfilled stopes with FLAC. In: Brummer R, Andreux P, Detournay C, Hart R (eds) Proceedings of 3rd international symposium on FLAC and FLAC3D numerical modeling in geomechanics. A.A. Balkema Publishers, Sudbury, pp 211–219

    Google Scholar 

  • Li L, Aubertin M, Belem T (2005) Formulation of a three dimensional analytical solution to evaluate stress in backfilled vertical narrow openings. Can Geotech J 42(6):1705–1717

    Article  Google Scholar 

  • Marston A (1930) The theory of external loads on closed conduits in the light of the latest experiments. In: Bulletin 96 of the Iowa Engineering Experiment Station, Ames, Iowa, Iowa Engineering Experiment Station, Ames, IA, pp 138–170

  • Pirapakaran K, Sivakugan N (2007a) Arching within hydraulic fill stopes. Geotech Geol Eng 25(1):25–35

    Article  Google Scholar 

  • Pirapakaran K, Sivakugan N (2007b) A laboratory model to study arching within a hydraulic fill stope. Geotech Test J ASTM 30(6):496–503

    Google Scholar 

  • Rajeev P, Sumanasekera PR, Sivakugan N (2015) Average vertical stresses in underground mine stopes filled with granular backfills. Int J Rock Mech Min Sci (Submitted)

  • Sivakugan N, Widisinghe S (2013) Stresses within granular materials contained between vertical walls. Indian Geotech J 43(1):30–38

    Article  Google Scholar 

  • Ting CH, Shukla SK, Sivakugan N (2011) Arching in soils applied to inclined mine stopes. Int J Geomech. doi:10.1061/(ASCE)GM.1943-5622.0000067

    Google Scholar 

  • Ting CH, Sivakugan N, Shukla SK (2012) Laboratory simulation of stresses within inclined stopes. Geotech Test J ASTM 35(2):280–294

    Google Scholar 

  • Widisinghe S (2015) Stress developments within a backfilled mine stope and the lateral loading on the barricade, Ph.D. thesis. James Cook University, Queensland

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Rajeev, P., Sumanasekera, P.R. & Sivakugan, N. Lateral Variation of the Vertical Stress in Underground Mine Stopes Filled with Granular Backfills. Geotech Geol Eng 34, 481–492 (2016). https://doi.org/10.1007/s10706-015-9959-4

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  • DOI: https://doi.org/10.1007/s10706-015-9959-4

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