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An Analytical Solution of Gibson’s Model for Estimating Pore Water Pressures in Accreting Deposition of Slurried Material Under One-Dimensional Self-Weight Consolidation. Part II: Impervious Base

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Abstract

In mining engineering, tailings produced by concentrator mill must be properly managed. For most cases, they are sent by pipes and confined in tailings dams. Another very common practice is to use tailings as fill material to fill underground mine stopes. In coastal engineering, dredged sludge extracted from river or sea beds needs adequately be deposited and confined in containment structures. In these cases, one needs assess the pore water pressure (PWP) associated with the self-weight consolidation of accreting deposition of slurried material. To this end, a solution proposed by Gibson in 1958 had been revisited and applied to estimate the variation and evolution of the excess PWP within slurry deposition confined within tailings dams or mine stopes having an impervious base. The solution proposed in this paper can readily be solved manually with commonly available computing mean such as Excel® or any other commercially available calculation sheets to obtain the variation and evolution of PWP with different parameters involved in the analytical solution. The proposed analytical solution has been validated against numerical modeling performed with SIGMA/W of GeoStudio®. It constitutes a simple and useful tool for the design of tailings dams, dredged sludge dams, or backfilled stopes. A truly analytical solution has been given in a companion paper (Part I) for the case of pervious base.

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Acknowledgements

The authors would like to acknowledge the financial support from the Natural Sciences and Engineering Research Council of Canada (NSERC 402318), Institut de recherche Robert-Sauvé en santé et en sécurité du travail (IRSST 2013-0029), Fonds de recherche du Québec—Nature et Technologies (FRQNT 2015-MI-191676, 2017-MI-202116), and industrial partners of the Research Institute on Mines and the Environment (RIME UQAT-Polytechnique; http://rime-irme.ca/).

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Authors and Affiliations

  1. Research Institute of Mining and Environment (RIME UQAT-Polytechnique), Department of Civil, Geological and Mining Engineering, École Polytechnique de Montréal, C.P. 6079, Succursale Centre-Ville, Montreal, QC, H3C 3A7,, Canada

    Jian Zheng, Li Li & Thomas Pabst

  2. Research Institute of Mining and Environment (RIME UQAT-Polytechnique), Université du Québec en Abitibi-Témiscamingue (UQAT), 445 boul. De l’Université, Rouyn-Noranda, QC, J9X 5E4,, Canada

    Mamert Mbonimpa

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  1. Jian Zheng
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  2. Li Li
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  3. Mamert Mbonimpa
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  4. Thomas Pabst
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Correspondence to Jian Zheng.

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Zheng, J., Li, L., Mbonimpa, M. et al. An Analytical Solution of Gibson’s Model for Estimating Pore Water Pressures in Accreting Deposition of Slurried Material Under One-Dimensional Self-Weight Consolidation. Part II: Impervious Base. Indian Geotech J 48, 188–195 (2018). https://doi.org/10.1007/s40098-017-0242-x

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