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Cédric Lambert (*) & John Read (**) (*) University of Canterbury, New Zealand (**) CSIRO - Earth Science and Resources Engineering , Australia. Sensitivities in rock mass properties A DEM insight. Sensitivities of the properties.
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Cédric Lambert(*) & John Read(**) (*) University of Canterbury, New Zealand (**)CSIRO - Earth Science and Resources Engineering, Australia Sensitivities in rock mass propertiesA DEM insight
Sensitivities of the properties • Application to a particular geotechnical domain of an Australian mine • Synthetic rock mass approach, based on real mine data • Sensitivity of rock mass properties: • To lithology • To joint size • To fracture frequency
The synthetic rock mass (SRM) framework Generate a discrete rock mass specimen representative of field conditions Based on measurable parameters Joint fabric – 3D Discrete Fracture Network (DFN) Intact rock - DEM SRM - Bonded particle assembly intersected with fractures
Structural modelling & DFN generation • Stochastic generation of a DFN model based on structural information • Available information: window mapping and core logging • Persistence and density estimated following method proposed by Mauldon (1998) & extended by Lyman (2003) • Trace length distribution determines the persistence parameters (or diameter distribution) • Number of traces or spacing controls the joint density
Intact rock representation • Intact rock modelled with PFC3D • Calibration of microproperties on 2m x 2m x 4m specimens (UCS & elastic properties) • Resolution of 4 particles across the specimen • Actual geology had to be simplified: • 3 dominant lithologies considered • Calibration for each lithology • Randomly distributed with same relative proportion • Multi rock model tested under unconfined compression conditions
Synthetic rock mass specimen 24m rock mass specimen Intact rock DFN smooth-joint contact model ( PFC3D v4.0 manual)
Unconfined compression test on 24m rock mass specimens UCS test performed in N-S direction • Characterisation of the stress strain behaviour of the rock mass • Extract rock mass mechanical properties (i.e. UCS, Young’s modulus)
Sensitivities of the rock mass properties • Mine management wanted to know if the methodology could be applied to their mining environment • Simplified intact rock representation Sensitivity to lithology ? • No censoring information available on trace length distribution Accuracy of the size distribution ? Sensitivity to joint size ?
Sensitivity to lithology Average compression strength Average deformation modulus • Compression tests have been performed on specimens considering a homogeneous lithology • Same 24m DFNs have been used for each lithology
Sensitivity to joint size • 24m rock mass specimen have been generated applying a multiplication factor s to the size of the joints of the reference sample (0.5 0.7 0.9 1.0 1.1 1.2 1.5) • Same orientation, same position and same spatial density • Cover a wide range of interlocking s=0.5 s=0.7 s=0.9 s=1.0 s=1.1 s=1.2 s=1.5
Sensitivity to joint size • Unconfined compression test in N-S direction Intact rock UCS 112.6 MPa Bilinear relationship two distinct mechanisms ? s ≤ 1.1 : more than 30% of the rock mass is continuous failure involves brittle failure through intact rock s > 1.1: towards blocky rock mass controlled by interlocking? 1 1 2 2
from Ramamurthy et al. (2001) Sensitivity to fracture frequency • Fracture frequency (in loading direction) varies with joint size and joint spacing (or density) • Specimens have been tested varying the spacing keeping other properties of the DFN identical Fracture frequency is control parameter in the direction of loading fracture intensity probably more suitable parameter
Conclusion • Sensitivity analysis exhibited a linear relationship between intact rock properties and rock mass properties • Uncertainty could easily be extrapolated from intact rock to rock mass • Random distribution of lithologies is certainly not a realistic representation of the intact rock condition • Recent work shows that spatial variation of properties in slopes reduces factor of safety (Jefferies et al. 2008) • Length of spatial variation is critical • Enhanced the significant variation of strength with fracture intensity • Highlighted the importance of getting and collecting structural data right!
Corresponding author : cedric.lambert@canterbury.ac.nz Acknowledgement to the sponsors of the Large Open Pit (LOP) project (www.lop.csiro.au) Thank you for your attention