Browse > Article
http://dx.doi.org/10.7843/kgs.2020.36.12.125

Numerical Verification for Plane Failure of Rock Slopes Using Implicit Joint-Continuum Model  

Shin, Hosung (Dept. of Civil & Environmental Engrg., Univ. of Ulsan)
Publication Information
Journal of the Korean Geotechnical Society / v.36, no.12, 2020 , pp. 125-132 More about this Journal
Abstract
Embedded joints in the rock mass are a major constituent influencing its mechanical behavior. Numerical analysis requires a rigorous modeling methodology for the rock mass with detailed information regarding joint properties, orientation, spacing, and persistence. This paper provides a mechanical model for a jointed rock mass based on the implicit joint-continuum approach. Stiffness tensors for rock mass are evaluated for an assemblage of intact rock separated by sets of joint planes. It is a linear summation of compliance of each joint sets and intact rock in the serial stiffness system. In the application example, kinematic analysis for a planar failure of rock slope is comparable with empirical daylight envelope and its lateral limits. Since the developed implicit joint-continuity model is formulated on a continuum basis, it will be a major tool for the numerical simulations adopting published plenteous thermal-hydro-chemical experimental results.
Keywords
Implicit joint-continuum model; FEM; Rock slope stability;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Agharazi, A., Martin, C.D., and Tannant, D.D. (2012), "A Three Dimensional Equivalent Continuum Constitutive Model for Jointed Rock Masses Containing up to Three Random Joint Sets", Geomech. Geoeng.: An Int. J., Vol.7, No.4, pp.227-238.   DOI
2 Amadei, B. and Goodman, R.E. (1981), "A 3-D Constitutive Relation for Fractured Rock Masses", Proceedings of the international symposium on mechanical behaviour of structured media, pp.249-268.
3 Bagheri, M.A. and Settari, A. (2006), "Effects of Fractures on Reservoir Deformation and Flow Modeling", Can. Geotech. J., 43, pp.574-586.   DOI
4 Barton, N., Bandis, S., and Shinas, C. (2001), "Engineering Criterion of Rock Mass Strength", Proceedings of the fourth Hellenic conference on geotechnical and geo-environmental engineering, 1, pp.115-122.
5 Brideau, M.A., Chauvin, S., Andrieux, P., and Stead, D. (2012), "Influence of 3D Statistical Discontinuity Variability on Slope Stability Conditions", Landslides and engineered slopes: Protecting Society through improved understanding, pp.587-593.
6 Cai, M. and Horii, H. (1992), "A Constitutive Model of Highly Jointed Rock Masses", Mech. Mater., Vol.13, No.3, pp.217-246.   DOI
7 Desai, C.S., Zamman, M.M., Lightner, J.G., and Siriwardane, H.J. (1984), "Thin Layer Element for Interfaces and Joints", Int J Numer Anal Methods Geomech., 8, pp.19-43.   DOI
8 Duncan, C.W. and Christopher, W.M. (2010), Rock Slope Engineering: Civil and Mining, 4th Edition, p.388.
9 Gan, Q. and Elsworth, D. (2016), "A Continuum Model for Coupled Stress and Fluid Flow in Discrete Fracture Networks", Geomech Geophys Geo-Energy Geo-Resour, Vol.2, No.1, pp.43-61.   DOI
10 Goodman, R. and Shi, G. (1985), Block theory and its application to rock engineering, Prentice-Hall International, p.338.
11 Goodman, R.E., Taylor, R.L., and Brekke, T.L. (1968), "A Model for the Mechanics of Jointed Rock", J. Soil Mech. Div. ASCE., 94(SM3), pp.637-659.   DOI
12 Grujovic, N., Divac, D., Zivkovic, M., Slavkovic, R., Milivojevic, N., Milivojevic, V., and Rakic, D. (2013), "An Inelastic Stress Integration Algorithm for a Rock Mass Containing Sets of Discontinuities", Acta Geotech, 8, pp.265-278.   DOI
13 Hoek, E. and Londe, P. (1974), "The design of rock slopes and foundations", General Report on Theme III. Proc.
14 Hoek, E. and Bray, J.D. (1981), Rock Slope Engineering, 3rd Edition, CRC Press, p.368.
15 Huang, T.H., Chang, C.S., and Yang, Z.Y. (1995), "Elastic Moduli for Fractured Rock Mass", Rock Mechanics and Rock Engineering, Vol.28, No.3, pp.135-144.   DOI
16 Hudson, J.A. and Harrison, J.P. (2000), Engineering rock mechanics: An introduction to the principles, Elsevier, p.444.
17 Jaeger, J.C., Cook, N.G.W., and Zimmerman, R.W. (2007), Fundamentals of Rock Mechanics, 4th edition, Blackwell, p.475.
18 Lee, S.H., Lough, M.F., and Jensen, C.L. (2001), "Hierarchical Modeling of Flow in Naturally Fractured Formations with Multiple Length Scales", Water Resources Research, 37, pp.443-455.   DOI
19 Lei, Q. (2016), Characterisation and modelling of natural fracture networks: Geometry, geomechanics and fluid flow, Imperial College, PhD Thesis.
20 Lisle, R.J. (2004), "Calculation of the Daylight Envelope for Plane Failure of Rock Slopes", Geotechnique, Vol.54, No.4, pp.279-280.   DOI
21 Liu, X., Han, G., Wang, E., Wang, S., and Nawnit, K. (2018), "Multiscale Hierarchical Analysis of Rock Mass and Prediction of its Mechanical and Hydraulic Properties", Journal of Rock Mechanics and Geotechnical Engineering, Vol.10, No.4, pp.694-702.   DOI
22 Maghous, S., Bernaud, D., Fre'ard, J., and Garnier, D. (2008), "Elastoplastic behaviour of Jointed Rock Masses as Homogenized Media and Finite Element Analysis", International Journal of Rock Mechanics and Mining Sciences, 45, pp.1273-1286.   DOI
23 Oda, M. (1986), "An Equivalent Continuum Model for Coupled Stress and Fluid Flow Analysis in Jointed Rock Masses", Water Resour Res., Vol.22, No.13, pp.1845-1856.   DOI
24 Pluimers, S.B. (2015), Hierarchical fracture modeling approach, Delft University of Technology, Ph.D Thesis.
25 Rafeh, F., Mroueh, H., and Burlon, S. (2015), "Equivalent continuum model accounting for anisotropy in chalk by means of embedded joint sets", Computer Methods and Recent Advances in Geomechanics, Oka, Murakami, Uzuoka & Kimoto (Eds.) Taylor & Francis Group.
26 Samadhiya, N.K., Viladkar, M.N., and Al-Obaydi, M.A. (2008), "Numerical Implementation of Anisotropic Continuum Model for Rock Masses", International Journal of Geomechanics, ASCE, Vol.8, No.2, pp.157-161.   DOI
27 Shin, H. and Santamarina, J. (2019), "An Implicit Joint-continuum Model for the Hydro-mechanical Analysis of Fractured Rock Masses", International Journal of Rock Mechanics and Mining Sciences, 119, pp.140-148.   DOI
28 Sitharam, T.G., Sridevi, J., and Shimizu, N. (2001), "Practical Equivalent Continuum Characterization of Jointed Rock Masses", Int J Rock Mech Min Sci, 38, pp.437-448.   DOI
29 Stead, D., Eberhardt, E., and Coggan, J. (2006), "Development in the Characterization of Complex Rock Slope Deformation and Failure Using Numerical Modeling Techniques", Engineering Geology, 83, pp.217-235.   DOI
30 Son, M., Lee, W.K., and Hwang, Y.C. (2014), "Estimation of Elastic Modulus of Jointed Rock Mass under Tunnel Excavation Loading", Journal of the Korean Geotechnical Society, Vol.30, No.7, pp.17-26.   DOI
31 Twiss, R.J. and Moores, E.M. (2007), Structural Geology, second ed. W.H. Freeman and Company, p.736.
32 Wang, T.T. and Huang, T.H. (2009), "A Constitutive Model for the Deformation of a Rock Mass Containing Sets of Ubiquitous Joints", Int. J. Rock Mech. Min. Sci., Vol.46, No.3, pp.521-530.   DOI