Skip to main content
Top
Published in: Rock Mechanics and Rock Engineering 7/2019

02-01-2019 | Original Paper

Strength Anisotropy of Rock with Crossing Joints: Results of Physical and Numerical Modeling with Gypsum Models

Authors: Lifu Chang, Heinz Konietzky, Thomas Frühwirt

Published in: Rock Mechanics and Rock Engineering | Issue 7/2019

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The geometric and mechanical characteristics of multiple intersecting joints can govern the strength anisotropy behavior of a rock mass. Laboratory uniaxial compression tests with artificial rock-like material (gypsum) were conducted to investigate the strength anisotropy behavior of jointed specimens. Three special kinds of gypsum were used to ensure that the handmade joints have a user-defined-strength for all samples. Specimens with one or two crossing joints covering more than 20 angle configurations and two different property sets were prepared and tested. The strength anisotropy behaviors of specimens with constant joint angles (90°, 80°, 60°, 45°, and 30°) were investigated, and the failure mechanisms were assessed through the damage pattern of the colored gypsum. The details of the design scheme and figures of the evaluated experimental results are presented in this paper. A new equivalent continuum model, called the multi-joint model, is developed for jointed rock masses that contain up to three arbitrary persistent joint sets. The Mohr–Coulomb yield criterion is used to check failure of the intact rock and the joints. The multi-joint model is implemented into the finite difference method code FLAC and compared with the distinct element method code UDEC. The experimental results are used to verify the developed multi-joint constitutive model and to investigate the behavior of jointed specimen. Experimental observations agree well with the simulation results and analytical solutions.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Bray JW (1967) A study of jointed and fractured rock. Rock Mech Eng Geol 5(2–3):117–136 Bray JW (1967) A study of jointed and fractured rock. Rock Mech Eng Geol 5(2–3):117–136
go back to reference Brown ET (1970) Strength of models of rock with intermittent joints. J Soil Mech Found Div 96(SM6):1935–1949 Brown ET (1970) Strength of models of rock with intermittent joints. J Soil Mech Found Div 96(SM6):1935–1949
go back to reference Brzovic A, Villaescusa E (2007) Rock mass characterization and assessment of block-forming geological discontinuities during caving of primary copper ore at the El Teniente mine, Chile. Int J Rock Mech Min Sci 44(4):565–583CrossRef Brzovic A, Villaescusa E (2007) Rock mass characterization and assessment of block-forming geological discontinuities during caving of primary copper ore at the El Teniente mine, Chile. Int J Rock Mech Min Sci 44(4):565–583CrossRef
go back to reference Coquard P, Boistelle R (1994) Water and solvent effects on the strength of set plaster. Int J Rock Mech Min Sci Geomech Abstr Pergamon 31(5):517–524CrossRef Coquard P, Boistelle R (1994) Water and solvent effects on the strength of set plaster. Int J Rock Mech Min Sci Geomech Abstr Pergamon 31(5):517–524CrossRef
go back to reference Coquard P, Boistelle R, Amathieu L, Barriac P (1994) Hardness, elasticity modulus and flexion strength of dry set plaster. J Materials Sci 29(17):4611–4617CrossRef Coquard P, Boistelle R, Amathieu L, Barriac P (1994) Hardness, elasticity modulus and flexion strength of dry set plaster. J Materials Sci 29(17):4611–4617CrossRef
go back to reference Clark IH (2006) Simulation of rockmass strength using ubiquitous joints. In: Hart R, Varona P (eds) Numerical modeling in geomechanics-2006. Proceedings 4th International FLAC Symposium, Paper No. 08–07, Madrid Clark IH (2006) Simulation of rockmass strength using ubiquitous joints. In: Hart R, Varona P (eds) Numerical modeling in geomechanics-2006. Proceedings 4th International FLAC Symposium, Paper No. 08–07, Madrid
go back to reference Chong WL, Haque A, Gamage RP, Shahinuzzaman A (2013) Modelling of intact and jointed mudstone samples under uniaxial and triaxial compression. Arab J Geosci 6(5):1639–1646CrossRef Chong WL, Haque A, Gamage RP, Shahinuzzaman A (2013) Modelling of intact and jointed mudstone samples under uniaxial and triaxial compression. Arab J Geosci 6(5):1639–1646CrossRef
go back to reference Donath F (1964) Strength variation and deformational behavior in anisotropic rock. In: Judd W (ed) State of stress in the earth's crust. American Elsevier, New york, pp 281–297 Donath F (1964) Strength variation and deformational behavior in anisotropic rock. In: Judd W (ed) State of stress in the earth's crust. American Elsevier, New york, pp 281–297
go back to reference Dan Dinh Quoc (2011) Brazilian test on anisotropic rocks: laboratory experiment, numerical simulation and interpretation. PhD Thesis, TU Bergakademie Freiberg, Freiberg Dan Dinh Quoc (2011) Brazilian test on anisotropic rocks: laboratory experiment, numerical simulation and interpretation. PhD Thesis, TU Bergakademie Freiberg, Freiberg
go back to reference Detournay C, Meng G, Cundall PA (2016) Development of a constitutive model for columnar basalt. In: Proceedings of the 4th Itasca symposium on applied numerical modeling. Itasca, Minneapolis Detournay C, Meng G, Cundall PA (2016) Development of a constitutive model for columnar basalt. In: Proceedings of the 4th Itasca symposium on applied numerical modeling. Itasca, Minneapolis
go back to reference Einstein HH, Hirschfeld RC, Nelson RA, Bruhn RW (1969) Model studies of jointed-rock behavior. In: The 11th US symposium on rock mechanics (USRMS). American Rock Mechanics Association, Berkeley, pp 83–103 Einstein HH, Hirschfeld RC, Nelson RA, Bruhn RW (1969) Model studies of jointed-rock behavior. In: The 11th US symposium on rock mechanics (USRMS). American Rock Mechanics Association, Berkeley, pp 83–103
go back to reference Esmaieli K, Hadjigeorgiou J, Grenon M (2010) Estimating geometrical and mechanical REV based on synthetic rock mass models at Brunswick Mine. Int J Rock Mech Min Sci 47(6):915–926CrossRef Esmaieli K, Hadjigeorgiou J, Grenon M (2010) Estimating geometrical and mechanical REV based on synthetic rock mass models at Brunswick Mine. Int J Rock Mech Min Sci 47(6):915–926CrossRef
go back to reference Ghazvinian A, Hadei MR (2012) Effect of discontinuity orientation and confinement on the strength of jointed anisotropic rocks. Int J Rock Mech Min Sci 55(10):117–124CrossRef Ghazvinian A, Hadei MR (2012) Effect of discontinuity orientation and confinement on the strength of jointed anisotropic rocks. Int J Rock Mech Min Sci 55(10):117–124CrossRef
go back to reference Itasca (2012) Fast lagrangian analysis of continua, theory and background, choice of material properties, 2. Itasca Consulting Group, Inc. Minneapolis, Minnesota, pp 11–17 Itasca (2012) Fast lagrangian analysis of continua, theory and background, choice of material properties, 2. Itasca Consulting Group, Inc. Minneapolis, Minnesota, pp 11–17
go back to reference Itasca (2016) FLAC user manual. Itasca Consulting Group, Inc. Minneapolis, Minnesota Itasca (2016) FLAC user manual. Itasca Consulting Group, Inc. Minneapolis, Minnesota
go back to reference Jaeger JC, Cook NG, Zimmerman R (2009) Fundamentals of rock mechanics, 4th edn. Wiley- Blackwell, Malden Jaeger JC, Cook NG, Zimmerman R (2009) Fundamentals of rock mechanics, 4th edn. Wiley- Blackwell, Malden
go back to reference Ko SC, Olgaard DL, Briegel U (1995) The transition from weakening to strengthening in dehydrating gypsum: evolution of excess pore pressures. Geophys Res Lett 22(9):1009–1012CrossRef Ko SC, Olgaard DL, Briegel U (1995) The transition from weakening to strengthening in dehydrating gypsum: evolution of excess pore pressures. Geophys Res Lett 22(9):1009–1012CrossRef
go back to reference Kulatilake PHSW, Malama B, Wang J (2001) Physical and particle flow modeling of jointed rock block behavior under uniaxial loading. Int J Rock Mech Min Sci 38(5):641–657CrossRef Kulatilake PHSW, Malama B, Wang J (2001) Physical and particle flow modeling of jointed rock block behavior under uniaxial loading. Int J Rock Mech Min Sci 38(5):641–657CrossRef
go back to reference Kumar D, Das SK (2005) An experimental study of the parameters influencing ultimate bearing strength of weak floor strata using physical modeling. Geotech Geol Eng 23(1):1–15CrossRef Kumar D, Das SK (2005) An experimental study of the parameters influencing ultimate bearing strength of weak floor strata using physical modeling. Geotech Geol Eng 23(1):1–15CrossRef
go back to reference Li X, Konietzky H (2014) Time to failure prediction scheme for rocks, Rock Mech Rock Eng 47(4):1493–1503CrossRef Li X, Konietzky H (2014) Time to failure prediction scheme for rocks, Rock Mech Rock Eng 47(4):1493–1503CrossRef
go back to reference Min KB, Jing L (2003) Numerical determination of the equivalent elastic compliance tensor for fractured rock masses using the distinct element method. Int J Rock Mech Min Sci 40(6):795–816CrossRef Min KB, Jing L (2003) Numerical determination of the equivalent elastic compliance tensor for fractured rock masses using the distinct element method. Int J Rock Mech Min Sci 40(6):795–816CrossRef
go back to reference Ramamurthy T (1993) Strength and modulus responses of anisotropic rocks. Compr Rock Eng 1(13):313–329 Ramamurthy T (1993) Strength and modulus responses of anisotropic rocks. Compr Rock Eng 1(13):313–329
go back to reference Shen B, Stephansson O, Einstein HH, Ghahreman B (1995) Coalescence of fractures under shear stresses in experiments. J Geophys Res Atmos 100(B4):5975–5990CrossRef Shen B, Stephansson O, Einstein HH, Ghahreman B (1995) Coalescence of fractures under shear stresses in experiments. J Geophys Res Atmos 100(B4):5975–5990CrossRef
go back to reference Singh RK, Dev C (1988) Strength and modulus tests on jointed specimens of plaster of Paris. M. Tech Thesis, IIT-Delhi, India Singh RK, Dev C (1988) Strength and modulus tests on jointed specimens of plaster of Paris. M. Tech Thesis, IIT-Delhi, India
go back to reference Singh M, Rao KS, Ramamurthy T (2002) Strength and deformational behaviour of a jointed rock mass. Rock Mech Rock Eng 35(1):45–64CrossRef Singh M, Rao KS, Ramamurthy T (2002) Strength and deformational behaviour of a jointed rock mass. Rock Mech Rock Eng 35(1):45–64CrossRef
go back to reference Sainsbury B, Pierce M, Mas Ivars D (2008) Simulation of rock mass strength anisotropy and scale effects using a Ubiquitous Joint Rock Mass (UJRM) model. In: Hart RD, Detournay C, Cundall P (eds) Continuum and Distinct Element Numerical Modeling in Geo-Engineering—2008, Paper 01–04. Itasca Consulting Group Inc.,Minneapolis Sainsbury B, Pierce M, Mas Ivars D (2008) Simulation of rock mass strength anisotropy and scale effects using a Ubiquitous Joint Rock Mass (UJRM) model. In: Hart RD, Detournay C, Cundall P (eds) Continuum and Distinct Element Numerical Modeling in Geo-Engineering—2008, Paper 01–04. Itasca Consulting Group Inc.,Minneapolis
go back to reference Tien YM, Tsao PF (2000) Preparation and mechanical properties of artificial transversely isotropic rock. Int J Rock Mech Min Sci 37(6):1001–1012CrossRef Tien YM, Tsao PF (2000) Preparation and mechanical properties of artificial transversely isotropic rock. Int J Rock Mech Min Sci 37(6):1001–1012CrossRef
go back to reference Tiwari RP, Rao KS (2004) Physical modeling of a rock mass under a true triaxial stress state. Int J Rock Mech Min Sci 41:396–401CrossRef Tiwari RP, Rao KS (2004) Physical modeling of a rock mass under a true triaxial stress state. Int J Rock Mech Min Sci 41:396–401CrossRef
go back to reference Wang TT, Huang TH (2009) A constitutive model for the deformation of a rock mass containing sets of ubiquitous joints. Int J Rock Mech Min Sci 46(3):521–530CrossRef Wang TT, Huang TH (2009) A constitutive model for the deformation of a rock mass containing sets of ubiquitous joints. Int J Rock Mech Min Sci 46(3):521–530CrossRef
go back to reference Wang TT, Huang TH (2014) Anisotropic deformation of a circular tunnel excavated in a rock mass containing sets of ubiquitous joints: theory analysis and numerical modeling. Rock Mech Rock Eng 47(2):643–657CrossRef Wang TT, Huang TH (2014) Anisotropic deformation of a circular tunnel excavated in a rock mass containing sets of ubiquitous joints: theory analysis and numerical modeling. Rock Mech Rock Eng 47(2):643–657CrossRef
go back to reference Wasantha PLP, Ranjith PG, Viete DR (2016) Hydro-mechanical behavior of sandstone with interconnected joints under undrained conditions. Eng Geol 207:66–77CrossRef Wasantha PLP, Ranjith PG, Viete DR (2016) Hydro-mechanical behavior of sandstone with interconnected joints under undrained conditions. Eng Geol 207:66–77CrossRef
go back to reference Xiao W, Deng R, Fu X (2014) Model experiments on deformation and strength anisotropy of columnar jointed rock masses under uniaxial compression. Chin J Rock Mechan Eng 33(5):957–963 Xiao W, Deng R, Fu X (2014) Model experiments on deformation and strength anisotropy of columnar jointed rock masses under uniaxial compression. Chin J Rock Mechan Eng 33(5):957–963
go back to reference Yang ZY, Chen JM, Huang TH (1998) Effect of joint sets on the strength and deformation of rock mass models. Int J Rock Mech Min Sci 35(1):75–84CrossRef Yang ZY, Chen JM, Huang TH (1998) Effect of joint sets on the strength and deformation of rock mass models. Int J Rock Mech Min Sci 35(1):75–84CrossRef
go back to reference Wong NY (2008) Crack coalescence in molded gypsum and carrara marble. Dissertation, MIT Wong NY (2008) Crack coalescence in molded gypsum and carrara marble. Dissertation, MIT
Metadata
Title
Strength Anisotropy of Rock with Crossing Joints: Results of Physical and Numerical Modeling with Gypsum Models
Authors
Lifu Chang
Heinz Konietzky
Thomas Frühwirt
Publication date
02-01-2019
Publisher
Springer Vienna
Published in
Rock Mechanics and Rock Engineering / Issue 7/2019
Print ISSN: 0723-2632
Electronic ISSN: 1434-453X
DOI
https://doi.org/10.1007/s00603-018-1714-8

Other articles of this Issue 7/2019

Rock Mechanics and Rock Engineering 7/2019 Go to the issue