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Predicting the Isotropic Volumetric Compression Response of Hydrating Cemented Paste Backfill (CPB)

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Abstract

Deep and high-stress mining results in stress transfers onto the previously placed backfill, and mines have recorded several MPa induced backfill stresses. Understanding the backfill-rock mass interaction is therefore critical. Previous work considered tabular ore bodies undergoing primarily one-dimensional compression and showed how the backfill reaction curves could be estimated from oedometer laboratory test results. This work considers massive orebodies and develops a similar approach based on isotropic compression curves. Isotropic compression tests exceeding 6 MPa are carried out on samples with 3.0 to 11.1% binder content, tested at 1-day cure time to 28-day cure time. The compression curve is characterized in three stages: initial elastic compression up to a yield point, followed by a transition stage to the start of a final stage with a linear post-yield compression line in \(\varepsilon_{v} - \log \left( {p^{\prime } } \right)\) space. Because these isotropic compression tests are rare (the reported results are the first for Cemented Paste Backfill), attempts are made to relate the isotropic compression test parameters to parameters from the more commonly used Unconfined Compression Strength (UCS) tests. Unifying equations as functions of binder content and cure time are found to determine the initial yield stress and the peak strength from UCS tests. These are then related to the corresponding parameters in isotropic compression. Finally, the slope of the post-yield compression line is found as a function of UCS of similar CPB with the same binder content and cure time. Then the isotropic compression behavior of CPB is reconstructed as a function of binder content and curing time using UCS values of similar CPB. Although the calibrated parameters are specific to the studied mine’s materials, the framework is general and applicable to other mines’ CPBs.

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Data Availability

All data, models, and code generated or used during the study appear in the submitted article.

Abbreviations

\(B_{i}\) :

Constant coefficients

CC :

Cement content

CT :

Curing time

e :

Void ratio at the end of each isotropic consolidation step

e 0 :

Void ratio after curing

\(\varepsilon_{C}^{v}\) :

Total volumetric strain at the end of transitional compression segment

\(\varepsilon_{Tot}^{v}\) :

Total volumetric strain

\(\varepsilon_{YS}^{v}\) :

Total volumetric strain at yield stress

K :

Bulk Modulus

\(m\) :

Intercept of post-yield compression line in \(\varepsilon_{Tot}^{v}\)- \(\log \left( {p^{\prime } } \right)\) space

\(P_{ISO}\) :

Pressure corresponding to the intersection of post-yield compression line and pressure axis

\(PYCLS\) :

Post-yield compression line slope in \(\varepsilon_{Tot}^{v}\)- \(\log \left( {p^{\prime } } \right)\) space

\(p^{\prime }\) :

Effective mean isotropic stress

\(S_{YS}\) :

Slope at yield stress in \(\varepsilon_{Tot}^{v}\)- \(\log \left( {p^{\prime } } \right)\) space

\(\sigma_{C}\) :

Stress at the end of transitional compression segment

\(\sigma_{YS}^{ISO}\) :

Yield stress in isotropic compression test

\(\sigma_{YS}^{UCS}\) :

Yield stress in UCS test

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Acknowledgements

The authors wish to express their gratitude to Barrick Gold Corp and Natural Sciences and Engineering Research Council Canada (Collaborative Research and Development Grant #514220-1) for financial support to this research as a part of a larger investigation into the behavior of high-performance cemented paste backfill.

Funding

Barrick Gold Corp and Natural Sciences and Engineering Research Council Canada (Collaborative Research and Development Grant #514220–1).

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Authors

Contributions

MJ developed the experiment strategy, conducted the experiment, interpreted the data, and wrote the manuscript. MG was edited the manuscript. The senior responsible author (SRA) of the publication is MG.

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Correspondence to Mohammadamin Jafari.

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The authors declare that they have no conflict of interest.

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Jafari, M., Grabinsky, M. Predicting the Isotropic Volumetric Compression Response of Hydrating Cemented Paste Backfill (CPB). Geotech Geol Eng 40, 4821–4836 (2022). https://doi.org/10.1007/s10706-022-02186-7

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  • DOI: https://doi.org/10.1007/s10706-022-02186-7

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