Geotechnical and Geological Engineering

, Volume 27, Issue 4, pp 559–569 | Cite as

A Three-Dimensional Analysis of the Total and Effective Stresses in Submerged Backfilled Stopes

  • Li Li
  • Michel Aubertin
Original Paper


The determination of the stress state in backfilled stopes is an important step for assessing the behaviour of mine openings and for designing barricades. Most previous analyses have considered only the 2D case (plane strain condition) and neglected the effect of pore water pressure. In this paper, a three-dimensional solution is proposed for totally or partly submerged backfill. The new solution gives the normal stresses along the vertical and horizontal axes, with the effect of a surface load on the backfill. The solution is validated using laboratory experimental results taken from the literature. The good agreement obtained between the proposed analytical solution and laboratory test results indicates that this new solution provides a realistic evaluation for both the total and effective stresses in vertical backfilled stopes.


Backfill Mining stopes Effective stresses Total stresses Earth pressure 3D openings Analytical solutions 



The authors acknowledge the financial support from the Institut de Recherche Robert-Sauvé en Santé et en Sécurité du Travail du Québec (IRSST) and from the participants of the Industrial NSERC Polytechnique-UQAT Chair ( The authors thank Dr. John Molson for his review of the manuscript.


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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Department of Civil, Geological and Mining EngineeringÉcole Polytechnique de MontréalMontréalCanada
  2. 2.GenivarQuebecCanada
  3. 3.Industrial NSERC Polytechnique-UQAT Chair on Environment and Mine Wastes ManagementMontréalCanada

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