Skip to main content
Log in

Effect of Damping Mode in Laboratory and Field-Scale Universal Distinct Element Code (UDEC) Models

  • Original Paper
  • Published:
Rock Mechanics and Rock Engineering Aims and scope Submit manuscript

Abstract

In practical rock engineering, Universal Distinct Element Code (UDEC) is one of the most widely used two-dimensional software packages for simulating discontinuum behaviors of rocks and rockmasses. Over the years, this software has been used to study phenomena, such as grain-scale fracturing in laboratory specimens, spalling around tunnels and roadways, shearing and separation along discontinuities in jointed rockmasses, etc. One of the lesser discussed topics in context of explicit time-stepping discontinuum modeling in UDEC is the damping mode employed for such simulations. For static analysis, the ‘local’ (default) and ‘combined’ damping modes are generally used, but their effects on the emergent model response as well as their suitability to a particular problem are not well documented in the literature. To help bridge this gap, this study contrasts the responses of a laboratory-scale model, a hypothetical granite pillar model and a hypothetical coal mine entry model with ‘Local’ and ‘Combined’ damping modes. It was found that in small-scale simulations, the results using ‘Local’ and ‘Combined’ damping modes were similar, but the differences were significant in the field-scale models. In particular, ‘Local’ damping mode tended to suppress large deformations, predicted high pillar strengths and increased model run-time significantly. Although it is difficult to definitively establish which of the two damping mode leads to more realistic excavation-scale behavior in a given scenario, the authors suggest the use of ‘Combined’ damping for models of individual excavations where large deformations and block separations are expected.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

Availability of data and material

Not applicable.

Code availability

Not applicable.

References

  • Abousleiman R, Walton G, Sinha S (2020) Understanding roof deformation mechanics and parametric sensitivities of coal mine entries using the discrete element method. Int J Min Sci Technol 30:123–129

    Article  Google Scholar 

  • Ahn J-K, Park D, Yoo J-K (2015) Estimation of damping ratio of rock mass for numerical simulation of blast induced vibration propagation. In: Proceedings of the 15th Asian regional conference on soil mechanics and geotechnical engineering, pp 1589–1592

  • Alshkane YM, Marshall AM, Stace LR (2017) Prediction of strength and deformability of an interlocked blocky rock mass using UDEC. J Rock Mech Geotech Eng 9:531–542

    Article  Google Scholar 

  • Azocar K (2016) Investigating the mesh dependency and upscaling of 3D grain-based models for the simulation of brittle fracture processes in low porosity crystalline rock. M.A.Sc Thesis, Queen’s University, Ontario, Canada

  • Bai Q, Tu S (2020) Numerical observations of the failure of a laminated and jointed roof and the effective of different support schemes: a case study. Environ Earth Sci 79:1–8

    Article  Google Scholar 

  • Bai Q, Tu S, Zhang C, Zhu D (2016) Discrete element modeling of progressive failure of wide coal roadway from water-rich roofs. Int J Coal Geol 167:215–229

    Article  Google Scholar 

  • Bass JD (1995) Elasticity of minerals, glasses, and melts. Mineral physics and crystallography: a handbook of physical constants, vol 2, pp 45–63

  • Bhasin R, Hoeg K (1998) Parametric study for a large cavern in jointed rock using a distinct element model (UDEC-BB). Int J Rock Mech Min Sci 35(1):17–29

    Article  Google Scholar 

  • Chen W, Konietzky H (2014) Simulation of heterogeneity, creep, damage and lifetime for loaded brittle rocks. Tectonophysics 633:164–175

    Article  Google Scholar 

  • Cundall PA (1897) Distinct element models of rock and soil structure. In: Brown ET (ed) Analytical and computational methods in engineering rock mechanics. Allen & Unwin, London, pp 129–163

    Google Scholar 

  • Cundall PA, Strack OD (1979) A discrete numerical model for granular assemblies. Geotechnique 29(1):47–65

    Article  Google Scholar 

  • Dadashzadeh N (2020) Reliability of stress induced damage predictions in hard rocks with continuum and discontinuum numerical modelling approaches. PhD thesis, Queen’s University, Canada

  • Fairhurst C, Pei J (1990) A comparison between the distinct element method and the finite element method for analysis of the stability of an excavation in jointed rock. Tunn Undergr Space Technol 5(1–2):111–117

    Article  Google Scholar 

  • Farahmand K, Diederichs MS (2015) A calibrated Synthetic Rock Mass (SRM) model for simulating crack growth in granitic rock considering grain scale heterogeneity of polycrystalline rock. In Proceedings of 49th U.S. Rock Mechanics/Geomechanics Symposium, San Francisco, California, USA Paper No. 430

  • Farahmand K, Vazaios I, Diederichs MS, Vlachopoulos N (2018) Investigating the scale-dependency of the geometrical and mechanical properties of a moderately jointed rock using a synthetic rock mass (SRM) approach. Comput Geotech 95:162–179

    Article  Google Scholar 

  • Gao F, Stead D (2014) The application of a modified Voronoi logic to brittle fracture modelling at the laboratory and field scale. Int J Rock Mech Min Sci 68:1–14

    Article  Google Scholar 

  • Gao F, Stead D, Kang H (2015) Numerical simulation of squeezing failure in a coal mine roadway due to mining-induced stresses. Rock Mech Rock Eng 48:1635–1645

    Article  Google Scholar 

  • Hajiabdolmajid V, Kaiser PK, Martin CD (2002) Modelling brittle failure of rock. Int J Rock Mech Min Sci 39(6):731–734

    Article  Google Scholar 

  • He S, Li Y, Aydin A (2018) A comparative study of UDEC simulations of an unsupported rock tunnel. Tunn Undergr Space Technol 72:242–249

    Article  Google Scholar 

  • Itasca (2014) UDEC version 6.0: theory and background. Itasca Consulting Group Inc., Minneapolis, Minnesota

    Google Scholar 

  • Itasca (2017) FLAC3D version 6.0: Theory and background. Itasca Consulting Group Inc., Minneapolis, Minnesota

    Google Scholar 

  • Itasca (2021a) FLAC version 8.0: theory and background. Itasca Consulting Group Inc., Minneapolis, Minnesota

    Google Scholar 

  • Itasca (2021b) 3DEC version 7.0: theory and background. Itasca Consulting Group Inc., Minneapolis, Minnesota

    Google Scholar 

  • Itasca (2021c) PFC version 7.0: theory and background. Itasca Consulting Group Inc., Minneapolis, Minnesota

    Google Scholar 

  • Jing L, Hudson JA (2002) Numerical methods in rock mechanics. Int J Rock Mech Min Sci 39:409–427

    Article  Google Scholar 

  • Jing L, Stephansson O (2007) Fundamentals of discrete element methods for rock engineering: theory and application. Elsevier, Amsterdam, Netherland

    Google Scholar 

  • Kaiser PK, MacCreath DR, Tannant DD (1996) Canadian Rockburst support handbook. Geomechanics Research Center and CMIRO Sudbury, Canada

    Google Scholar 

  • Kazerani T, Zhao J (2010) Micromechanical parameters in bonded particle method for modelling of brittle material failure. Int J Numer Anal Meth Geomech 34(18):1877–1895

    Article  Google Scholar 

  • Lan H, Martin CD, Hu B (2010) Effect of heterogeneity of brittle rock on micromechanical extensile behavior during compression loading. J Geophys Res 115:1–14

    Google Scholar 

  • Li X, Kim E, Walton G (2019) A study of rock pillar behaviors in laboratory and in-situ scales using combined finite-discrete element method models. Int J Rock Mech Min Sci 118:21–32

    Article  Google Scholar 

  • Lisjak A, Grasselli G (2014) A review of discrete modeling techniques for fracturing processes in discontinuous rock masses. J Rock Mech Geotech Eng 6(4):301–314

    Article  Google Scholar 

  • Lorenzis LD, DeJong M, Ochsendorf J (2007) Failure of masonry arches under impulse base motion. Earthquake Eng Struct Dyn 36:2119–2136

    Article  Google Scholar 

  • Luke N (2016) Analysis and interpretation of in-situ rock bolt pull tests in hard rock mines. MSc thesis, University of Toronto, Canada

  • Mark C, Molinda GM, Dolinar DR (2001) Analysis of roof bolting system. In Proceedings of the 20th international conference in ground control in mining, Morgantown, WV, pp 218–225

  • Martin CD, Chandler NA (1994) The progressive fracture of Lac Du Bonnet granite. Int J Rock Mech Mining Sci Geomech Abstr 31(6):643–659

    Article  Google Scholar 

  • Mavko G, Mukerji T, Dvorkin J (2009) The rock physics handbook: tools for seismic analysis of porous media. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Mayer JM, Stead D (2017) Exploration into the causes of uncertainty in UDEC grain boundary models. Comput Geotech 82:110–123

    Article  Google Scholar 

  • Mortazavi A, Hassani FP, Shabani M (2009) A numerical investigation of rock pillar failure mechanism in underground openings. Comput Geotech 36(5):691–697

    Article  Google Scholar 

  • Noorani R, Cai M (2015) Simulation of dilation behavior of brittle rocks using a grain-based model. In: Proceedings of the 13th ISRM international congress of rock mechanics, Montreal, Canada, pp 1–12

  • Oliveira D, Diederichs MS (2017) Tunnel support for stress induced failures in Hawkesbury Sandstone. Tunn Undergr Space Technol 64:10–23

    Article  Google Scholar 

  • Papantonopoulos C, Psycharis IN, Papastamatiou DY, Lemos JV, Mouzakis HP (2002) Numerical prediction of the earthquake response of classical columns using the distinct element method. Earthquake Eng Struct Dynam 31:1699–1717

    Article  Google Scholar 

  • Raffaldi MJ (2015) Static and dynamic discrete element modelling of slender coal pillars. MSc thesis, University of Kentucky, USA

  • Rocscience (2021) RS2 Version 11 documentation

  • Saeidi O, Ramezanzadeh A, Sereshki F, Jalali ME (2013) Numerical modeling of the effects of joint hydraulic aperture, orientation and spacing on rock grouting using UDEC: a case study of Bakhtiary Dam of Iran. J Mining Environ 4(1):15–26

    Google Scholar 

  • Sarhosis V, Baraldi D, Lemos JV, Milani G (2019) Dynamic behavior of ancient freestanding multi-drum and monolithic columns subjected to horizontal and vertical excitations. Soil Dyn Earthq Eng 120:39–57

    Article  Google Scholar 

  • Shreedharan S, Kulatilake PHSW (2016) Discontinuum-equivalent continuum analysis of the stability of tunnels in a deep coal mine using the distinct element method. Rock Mech Rock Eng 49(5):1903–1922

    Article  Google Scholar 

  • Singh M, Singh B (2008) Laboratory and numerical modelling of a jointed rock mass. In: Proceedings of 12th international conference of international association for computer methods and advances in geomechanics (IACMAG), Goa, India

  • Sinha S, Walton G (2018a) Micromechanical modeling of granite and its application in investigation pillar damage processes. In: Proceedings of 52nd US rock mechanics/geomechanics symposium, Seattle, Washington, USA paper no. 265

  • Sinha S, Walton G (2018b) A progressive S-shaped yield criterion and its application to the study of rock pillar behavior. Int J Rock Mech Min Sci 105:98–109

    Article  Google Scholar 

  • Sinha S, Walton G (2019a) Simulating laboratory-scale damage in granite using Bonded Block Models (BBM). In: Proceedings of 14th international congress on rock mechanics and rock engineering, Brazil

  • Sinha S, Walton G (2019b) Understanding continuum and discontinuum models of rock–support interaction for excavations undergoing stress-induced spalling. Int J Rock Mech Mining Sci 123:104089

    Article  Google Scholar 

  • Sinha S, Walton G (2020) A study of Bonded Block Model (BBM) complexity for simulation of laboratory-scale stress–strain behavior in granitic rocks. Comp Geotech 118:103363

    Article  Google Scholar 

  • Sinha S, Walton G (2021a) Investigation of pillar damage mechanisms and rock-support interaction using Bonded Block Models. Int J Rock Mech Mining Sci 138:

    Article  Google Scholar 

  • Sinha S, Walton G (2021b) Integration of three-dimensional continuum model and two-dimensional bonded block model for studying the damage process in a granite pillar at the Creighton Mine, Sudbury. Canada. J Rock Mech Geotech Eng 13(2):275–288

    Article  Google Scholar 

  • Sinha S, Shirole D, Walton G (2020) Investigation of the micromechanical damage process in a granitic rock using an inelastic Bonded Block Model (BBM). J Geophys Res Solid Earth 124:1–24

    Google Scholar 

  • Tatone BSA, Lisjak A, Mahabadi OK, Vlachopoulos N (2015) Incorporating rock reinforcement elements in numerical analyses based on the hybrid finite-discrete element method (FDEM). In: Proceedings of the 13th congress of the ISRM, Montreal, Canada Paper no. 633

  • Vardar O, Zhang C, Canbulat I, Hebblewhite B (2019) Numerical modelling of strength and energy release characteristics of pillar-scale coal mass. J Rock Mech Geotech Eng 11(5):935–943

    Article  Google Scholar 

  • Vazaios I, Diederichs MS, Vlachopoulos N (2019) Assessment of strain bursting in deep tunnelling by using the finite-discrete element method. J Rock Mech Geotech Eng 11(1):12–37

    Article  Google Scholar 

  • Walton G (2014) Improving continuum models for excavations in rock masses under high stress through an enhanced understanding of post-yield dilatancy. Ph.D. thesis, Queen’s University, Kingston, Canada

  • Walton G, Sinha S (2020) Advances in bonded block modeling. In: Proceedings of Bergmekanikdagen, Swedish Rock Engineering Association, Sweden

  • Walton G, Diederichs MS, Punkkinen A, Whitmore J (2016) Back analysis of a pillar monitoring experiment at 2.4 km depth in the Sudbury Basin, Canada. Int J Rock Mech Min Sci 85:33–51

    Article  Google Scholar 

  • Walton G, Kim E, Sinha S, Sturgis G, Berberick D (2018) Investigation of shaft stability and anisotropic deformation in a deep shaft in Idaho, United States. Int J Rock Mech Min Sci 105:160–171

    Article  Google Scholar 

  • Wang ZL, Konietzky H, Shen RF (2009) Coupled finite element and discrete lement method for underground blast in faulted rock masses. Soil Dyn Earthq Eng 29:939–945

    Article  Google Scholar 

  • Zhu D, Wu Y, Liu Z, Dong X, Yu J (2020) Failure mechanism and safety control strategy for laminated roof of wide-span roadway. Eng Failure Anal 111(4):104489

    Article  Google Scholar 

Download references

Acknowledgements

The research conducted for this study was funded by the National Institute for Occupational Safety and Health (NIOSH) under Grant Number 200-2016-90154. The authors would like to extend their gratitude for the financial support. The majority of the modeling effort for this study was conducted using educational licenses of UDEC provided by Itasca Consulting, Ltd. The authors appreciate Itasca’s support in this capacity.

Funding

The research conducted for this study was funded by the National Institute for Occupational Safety and Health (NIOSH) under Grant Number 200-2016-90154.

Author information

Authors and Affiliations

Authors

Contributions

Study conception and design: Sankhaneel Sinha, Gabriel Walton. Data collection: Sankhaneel Sinha, Rami Abousleiman. Analysis and interpretation of results: Sankhaneel Sinha, Rami Abousleiman. Draft manuscript preparation: Sankhaneel Sinha, Gabriel Walton, Rami Abousleiman.

Corresponding author

Correspondence to Sankhaneel Sinha.

Ethics declarations

Conflict of interest

There is no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sinha, S., Abousleiman, R. & Walton, G. Effect of Damping Mode in Laboratory and Field-Scale Universal Distinct Element Code (UDEC) Models. Rock Mech Rock Eng 55, 2899–2915 (2022). https://doi.org/10.1007/s00603-021-02609-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00603-021-02609-6

Keywords

Navigation