Technical Notes
Jul 11, 2011

Three-Dimensional Method of Fragments to Study Drainage through Hydraulic Fill Stopes

Publication: International Journal of Geomechanics
Volume 12, Issue 5

Abstract

The method of fragments is a simple technique for determining the flow rate, pore water pressure, and exit gradient in two-dimensional confined flow problems. This method is extended to a three-dimensional hydraulic fill stope. Expressions were developed for computing the flow rate and the maximum pore water pressure within the stope, which are two important design parameters for analyzing the drainage characteristics of the stope during filling. These expressions were validated using laboratory tests on model stopes and a numerical model using an explicit finite difference code, and good agreement was observed. The equations developed in this research note enable quick estimates of flow rate and the maximum pore water pressure within the hydraulic fill stope, without resorting to sophisticated simulation models. It is shown that the method of fragments can be applied to three-dimensional seepage problems, provided that appropriate form factors are developed.

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References

FLAC3D version 3.1 [Computer software]. Minneapolis, MN, Itasca Consulting Group.
Harr, M. E. (1962). Ground water and seepage, McGraw Hill, New York.
Isaacs, L. T., and Carter, J. P. (1983). “Theoretical study of pore water pressures developed in hydraulic fill in mine stopes,” Trans. Inst. Mining Metall. A Mining Industry, 92, A93–A102.
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Rankine, K. J. (2005). “An investigation into the drainage characteristics and behavior of hydraulically placed mine backfill and permeable minefill barricades.” Ph.D. thesis, James Cook Univ., Townsville, Australia.
Rankine, K. J., Sivakugan, N., and Cowling, R. (2006). “Emplaced geotechnical characteristics of hydraulic fills in a number of Australian mines.” J. Geotech. Geological Eng., 24, 1–14.
Rankine, K. S. (2007). “Development of two and three-dimensional method of fragments to analyse drainage behavior in hydraulic fill stopes.” Ph.D. thesis, James Cook Univ., Townsville, Australia.
Sivakugan, N., and Rankine, K. S. (2006). “A simple solution for drainage through a 2-dimensional hydraulic fill stope.” J. Geotech. Geological Eng., 24(5), 1229–1241.
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Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 12Issue 5October 2012
Pages: 612 - 615

History

Received: Nov 2, 2010
Accepted: Jul 8, 2011
Published online: Jul 11, 2011
Published in print: Oct 1, 2012

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Authors

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Nagaratnam Sivakugan, M.ASCE [email protected]
Associate Professor and Head, Civil and Environmental Engineering, James Cook Univ., Townsville 4811, Australia (corresponding author). E-mail: [email protected]
Kelda Rankine [email protected]
Geotechnical Engineer, Golder Associates Pty Lyd., 611 Coronation Dr., Toowong, QLD 4066, Australia; formerly, Ph.D. Student, James Cook Univ., Townsville 4811, Australia. E-mail: [email protected]

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