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Calibration of a discrete element model for intact rock up to its peak strength. (English) Zbl 1273.74571

Summary: When three dimensional, bonded discrete element models (DEMs) are deployed to model intact rock, a basic question is how to determine the micro parameters that control macro properties of the modeled rock. After briefly describing the authors’ DEM code, this paper describes algorithms to calibrate the model’s micro parameters against standard laboratory tests, such as uniaxial and triaxial tests. Sensitivity analysis is used to identify the deformability micro parameters by obtaining relationships between microscopic and macroscopic deformability properties. The strength model parameters are identified by a global optimization process aimed at minimizing the difference between computed and experimental failure envelopes. When applied to the experimental results of Lac du Bonnet granite, this calibration process produced a good agreement between simulated and experimental results for both deformability and strength properties.

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
74L10 Soil and rock mechanics

Software:

SNOBFIT; DEMPack
Full Text: DOI

References:

[1] Cundall, Numerical modeling of discontinua, Journal of Engineering Computations 9 pp 101– (1992)
[2] Cundall, A discrete element model for granular assemblies, Geotechnique 29 (1) pp 47– (1979)
[3] Cundall P. A computer model for simulating progressive large scale movements in blocky rock systems. Proceedings of the Symposium of International Society of Rock Mechanics, Nancy, France, 1971; 1. Paper No. II-8.
[4] Hentz, Identification and validation of a discrete element model for concrete, Journal of Engineering Mechanics 130 (6) pp 709– (2004)
[5] Hajiabdolmajid, Modelling brittle failure of rock, International Journal of Rock Mechanics and Mining Sciences 39 (6) pp 731– (2002)
[6] Potyondy, A bonded-particle model for rock, International Journal of Rock Mechanics and Mining Sciences 41 (8) pp 1329– (2004)
[7] Cook, Discrete element modeling applied to laboratory simulation of near-well bore mechanics, International Journal of Geomechanics 4 (1) pp 19– (2004)
[8] Ng, Input parameters of discrete element methods, Journal of Engineering Mechanics 132 (7) pp 723– (2006)
[9] Onate, Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems, Computer Methods in Applied Mechanics and Engineering 193 (27-29) pp 3087– (2004)
[10] Donze, Modeling fractures in rock blasting, International Journal of Rock Mechanics and Mining Sciences 34 (8) pp 1153– (1997)
[11] Cho, A clumped particle model for rock, International Journal of Rock Mechanics and Mining Sciences 44 (7) pp 997– (2007)
[12] Cooreman, Elasto-plastic material parameter identification by inverse methods: calculation of the sensitivity matrix, International Journal of Solids and Structures 44 (13) pp 4329– (2007) · Zbl 1123.74022
[13] Oreskes, Verification, validation, and confirmation of numerical models in the earth sciences, Science 263 (5147) pp 641– (1949)
[14] Yoon, Application of experimental design and optimization to PFC model calibration in uniaxial compression simulation, International Journal of Rock Mechanics and Mining Sciences 44 (6) pp 871– (2007)
[15] Fakhimi, Application of dimensional analysis in calibration of a discrete element model for rock deformation and fracture, Rock Mechanics and Rock Engineering 40 (2) pp 193– (2007)
[16] Itasca, PFC3D Manual (1999)
[17] Wang Y, Tonon F. A new membrane boundary for DEM modeling of triaxial tests on intact rock. The 42nd U.S. Rock Mechanics Symposium, San Francisco, U.S.A., 2008.
[18] Martin C. The strength of massive Lac Du Bonnet granite around underground openings. Ph.D. Thesis, University of Manitoba, Winnipeg, Canada, 1993.
[19] Liao, Stress-strain relationship for granular materials based on the hypothesis of best fit, International Journal of Solids and Structures 34 (31-32) pp 4087– (1997)
[20] Neumaier, Snobfit-stable noisy optimization by branch and fit, ACM Transactions on Mathematical Software 35 (9) pp 1– (2008)
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