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Minerals 2017, 7(10), 201; https://doi.org/10.3390/min7100201

Stress Ratios in Entire Mine Stopes with Cohesionless Backfill: A Numerical Study

1
School of Architecture and Civil Engineering, Xi′an University of Science and Technology, 58 Yanta Rd., Xi′an 710054, China
2
Research Institute on Mines and Environment, Department of Civil, Geological and Mining Engineering, École Polytechnique de Montréal, C.P. 6079, Succursale Centre-Ville, Montréal, QC H3C 3A7, Canada
*
Author to whom correspondence should be addressed.
Received: 20 September 2017 / Revised: 15 October 2017 / Accepted: 17 October 2017 / Published: 20 October 2017
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Abstract

Evaluation of stress states in backfilled mine stopes (or similar openings), using arching theory, can be largely impacted by the value selected for the earth pressure coefficient, K = σh/σv. Recently, the current study’s authors addressed the debate about the value of K near the opening center, based on Rankine’s active coefficient (Ka) and at-rest coefficient (K0). Here, stress ratios in vertical backfilled stopes are numerically assessed (in two dimension, 2D), considering both the independent and related backfill internal friction angle (ϕ′) and Poisson’s ratio (ν). Emphasis is placed on the backfill state near stope walls, where local rotation of stresses occurs, so the coefficient (K) and principal stress ratio, Kps (= σ3/σ1), should be distinguished. Parametric analyses indicate that values of K and Kps depend on the position and the relationship between ϕ′ and ν. Near the opening center, K (= Kps) is close to Ka when ν or ϕ′ is below a critical value; otherwise the value approaches K0, defined from ν. Near both walls, Kps is always close to Ka, while K is near K0 for related νϕ′ cases and depends on their respective values for independent ν and ϕ′. Additional simulations conducted with interface elements indicate that the stress ratios near the opening center line are insensitive to interface roughness and are almost identical to values obtained without interfaces, but the stress ratios near walls may change for less rough or smooth interfaces. View Full-Text
Keywords: mine stopes; backfilled openings; earth pressure coefficient; principal stress ratio; FLAC mine stopes; backfilled openings; earth pressure coefficient; principal stress ratio; FLAC
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Yang, P.; Li, L.; Aubertin, M. Stress Ratios in Entire Mine Stopes with Cohesionless Backfill: A Numerical Study. Minerals 2017, 7, 201.

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