Verification of a laboratory-based dilation model for in situ conditions using continuum models

Abstract With respect to constitutive models for continuum modeling applications, the post-yield domain remains the area of greatest uncertainty. Recent studies based on laboratory testing have led to the development of a number of models for brittle rock dilation, which account for both the plastic shear strain and confining stress dependencies of this phenomenon. Although these models are useful in providing an improved understanding of how dilatancy evolves during a compression test, there has been relatively little work performed examining their validity for modeling brittle rock yield in situ. In this study, different constitutive models for rock dilation are reviewed and then tested, in the context of a number of case studies, using a continuum finite-difference approach (FLAC). The uncertainty associated with the modeling of brittle fracture localization is addressed, and the overall ability of mobilized dilation models to replicate in situ deformation measurements and yield patterns is evaluated.

[1]  E. Hoek,et al.  Empirical estimation of rock mass modulus , 2006 .

[2]  P. K. Kaiser,et al.  An interpretation of ground movements recorded during construction of the Donkin-Morien tunnel , 1991 .

[3]  Catrin Edelbro,et al.  Numerical modelling of observed fallouts in hard rock masses using an instantaneous cohesion-softening friction-hardening model , 2009 .

[4]  E. Alonso,et al.  Considerations of the dilatancy angle in rocks and rock masses , 2005 .

[5]  Mark S. Diederichs,et al.  Manuel Rocha Medal Recipient Rock Fracture and Collapse Under Low Confinement Conditions , 2003 .

[6]  K. Roscoe THE INFLUENCE OF STRAINS IN SOIL MECHANICS , 1970 .

[7]  N. Cook An experiment proving that dilatancy is a pervasive volumetric property of brittle rock loaded to failure , 1970 .

[8]  H. W. Chandler,et al.  A plasticity theory without drucker's postulate, suitable for granular materials , 1985 .

[9]  F. Varas,et al.  Study of bifurcation in the problem of unloading a circular excavation in a strain-softening material , 2005 .

[10]  J. H. Curran,et al.  Deformability of intact rock , 1992 .

[11]  I. W. Farmer,et al.  Application of yield models to rock , 1979 .

[12]  Leandro R. Alejano,et al.  Dilation in granite during servo-controlled triaxial strength tests , 2013 .

[13]  C. Scholz,et al.  Dilatancy in the fracture of crystalline rocks , 1966 .

[14]  N. Barton,et al.  Numerical modelling of two stoping methods in two Indian mines using degradation of c and mobilization of φ based on Q-parameters , 2011 .

[15]  C. Martin,et al.  Seventeenth Canadian Geotechnical Colloquium: The effect of cohesion loss and stress path on brittle rock strength , 1997 .

[16]  J. K. Whyatt,et al.  Rock mechanics investigations at the Lucky Friday Mine (in three parts) : 3. Calibration and validation of a stope-scale, finite-element model , 1992 .

[17]  P. W. Rowe Theoretical meaning and observed values of deformation parameters for soil , 1972 .

[18]  J. C. Jaeger,et al.  Fundamentals of rock mechanics , 1969 .

[19]  M. Diederichs,et al.  A Review of the Tensile Strength of Rock: Concepts and Testing , 2014, Geotechnical and Geological Engineering.

[20]  C. Martin,et al.  The strength of massive Lac du Bonnet granite around underground openings , 1993 .

[21]  Evert Hoek,et al.  Practical estimates of rock mass strength , 1997 .

[22]  Ming Cai,et al.  A mobilized dilation angle model for rocks , 2010 .

[23]  R. Borst,et al.  Non-Associated Plasticity for Soils, Concrete and Rock , 1984 .

[24]  Evert Hoek,et al.  HOEK-BROWN FAILURE CRITERION - 2002 EDITION , 2002 .

[25]  Mark S. Diederichs,et al.  Dilation and Post-peak Behaviour Inputs for Practical Engineering Analysis , 2015, Geotechnical and Geological Engineering.

[26]  G. F. Eaton,et al.  Age and Origin of Base and Precious Metal Veins of the Coeur D’Alene Mining District, Idaho , 2000 .

[27]  Diederichs,et al.  Application of modified Hoek-Brown transition relationships for assessing strength and post yield behaviour at both ends of the rock competence scale , 2008 .

[28]  C. Martin,et al.  Measurement of spalling parameters from laboratory testing , 2010 .

[29]  V. Hajiabdolmajid,et al.  Modelling brittle failure of rock , 2002 .

[30]  Steven L. Crouch,et al.  Experimental determination of volumetric strains in failed rock , 1970 .

[31]  Albert Steindorfer,et al.  Short Term Prediction of Rock Mass Behaviour in Tunnelling by Advanced Analysis of Displacement Monitoring Data , 1998 .

[32]  M. Cai,et al.  Considerations of rock dilation on modeling failure and deformation of hard rocks—a case study of the mine-by test tunnel in Canada , 2010 .

[33]  John A. Hudson,et al.  Comprehensive rock engineering , 1993 .

[34]  F. Steiner,et al.  How Highly Stressed Brittle Rock Failure Impacts Tunnel Design , 2010 .

[35]  N. Barton,et al.  Instrumentation And Analysis Of A Deep Shaft In Quartzite , 1983 .

[36]  N. Vlachopoulos,et al.  Improved Longitudinal Displacement Profiles for Convergence Confinement Analysis of Deep Tunnels , 2009 .

[37]  Diederichs,et al.  Underground Works In Hard Rock Tunnelling And Mining , 2000 .

[38]  Mark S. Diederichs,et al.  The 2003 Canadian Geotechnical Colloquium: Mechanistic interpretation and practical application of damage and spalling prediction criteria for deep tunnelling , 2007 .

[39]  Lanru Jing,et al.  A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering , 2003 .

[40]  Emmanuel M Detournay,et al.  Elastoplastic model of a deep tunnel for a rock with variable dilatancy , 1986 .