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http://dx.doi.org/10.7474/TUS.2020.30.1.015

Estimation of Strength and Deformation Modulus of the 3-D DFN System Using the Distinct Element Method  

Ryu, Seongjin (Dept. of Energy Resources Engineering, Pukyong National University)
Um, Jeong-Gi (Dept. of Energy Resources Engineering, Pukyong National University)
Park, Jinyong (Dept. of Radioactive Waste Disposal Regulation, Korea Institute of Nuclear Safety)
Publication Information
Tunnel and Underground Space / v.30, no.1, 2020 , pp. 15-28 More about this Journal
Abstract
In this study, a procedure was introduced to estimate strength and deformation modulus of the 3-D discrete fracture network(DFN) systems using the distinct element method(DEM). Fracture entities were treated as non-persistent square planes in the DFN systems. Systematically generated fictitious fractures having similar mechanical characteristics of intact rock were combined with non-persistent real fractures to create polyhedral blocks in the analysis domain. Strength and deformation modulus for 10 m cube domain of various deterministic and stochastic 3-D DFN systems were estimated using the DEM to explore the applicability of suggested method and to examine the effect of fracture geometry on strength and deformability of DFN systems. The suggested procedures were found to effective in estimating anisotropic strength and deformability of the 3-D DFN systems.
Keywords
Discrete fracture network; Fictitious fractures; Strength; Deformation modulus; Distinct element method;
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  • Reference
1 Amadei B. and Goodman R.E., 1981, A 3D constitutive relation for fractured rock masses, In Proc. Int. Symp. on Mechanical Behavior of Structured Media, Ottawa, Canada, Part B, 249-268.
2 Bieniawski, Z. T., 1968, The effect of specimen size on compressive strength of coal, Int. J. Rock Mech. and Min. Sci., 5, 321-335.   DOI
3 Bieniawski Z.T., 1978, Determining rock mass deformability: experience from case histories, Int. J. Rock Mech. Min. Sci., 15, 237-247.   DOI
4 Bieniawski, Z.T. and Van Heerden, W.L., 1975, The significance of in-situ tests on large rock specimens, Int. J. Rock Mech. and Min. Sci., 12, 101-113.   DOI
5 Chalhoub M. and Pouya A. 2008, Numerical homogenization of a fractured rock mass: a geometrical approach to determine the mechanical representative elementary volume, Electron. J. Geotech Eng., 13, 1-12.
6 Cundall P.A., 1971, A computer model for simulating progressive large-scale movements in blocky rock system, Proc. Symp. Int. Soc. Rock Mechanics, Nancy, France, 2, 2-8.
7 Cundall P.A., 1988, Formulation of a three-dimensional distinct element model-Part I. A scheme to detect and represent contacts in a system composed of many polyhedral blocks, Int. J. Rock Mech. Min. Sci., 25, 107-116.   DOI
8 Einstein H.H. and Hirschfeld R.C., 1973, Model studies on mechanics of jointed rock, J. Soil Mech. Found. Div., ASCE, 99, 229-242.   DOI
9 Fossum A.F., 1985, Effective elastic properties for a randomly jointed rock mass, Int. J. Rock Mech. Min. Sci. and Geomech. Abst., 22, 467-470.   DOI
10 Gerrard C.M., 1982, Equivalent elastic moduli of a rock mass consisting of orthorhombic layers, Int. J. Rock Mech. Min. Sci. and Geomech. Abst., 19, 9-14.   DOI
11 Grimstad E. and Barton N., 1993, Updating the Q-system for NMT, Proc. Int. Symp. on sprayed concrete - modern use of wet mix sprayed concrete for underground support, Fagernes, 46-66.
12 Hart R., Cundall P.A. and Lemos J., 1988, Formulation of a three-dimensional distinct element model-Part II: Mechanical calculation for motion and interaction of a system composed of many polyhedral blocks, Int. J. Rock Mech. Min. Sci., 25, 117-126.
13 Brown E.T., 1970, Strength of models of rock with intermittent joints, J. Soil Mech. Found. Div., ASCE, 96, 1935-1949.   DOI
14 Itasca, 2016, 3DEC(v.5.2) User's Guide, Itasca Consulting Group, Inc.
15 Min K.B. and Thoraval A., 2012, Comparison of two- and three-dimensional approaches for the numerical determination of equivalent mechanical properties of fractured rock masses, Tunnel and Underground Space, 22, 92-105.
16 Kulatilake P.H.S.W., Ucpirti H., Wang S., Radberg G. and Stephansson O., 1992, Use of the distinct element method to perform stress analysis in rock with non-persistent joints to study the effect of joint geometry parameters on the strength and deformability of rock masses, Rock Mech. and Rock Eng, 25, 253-274.   DOI
17 Kwon S.K., Chang K.M. and Kang C.H., 1999, Structural analysis for the conceptual design of a high Level radioactive waste repository in a deep deposit, Tunnel and Underground Space, 9, 102-113.
18 Lemos J.V., Hart R.D. and Cundall P.A., 1985, A generalized distinct element program for modeling jointed rock mass, Proc. Int. Symp. Fund. Rock Joints, Bjorkliden, Sweden, 335-343.
19 Morland L.W., 1976, Elastic anisotropy of regularly jointed media, Rock Mechanics and Rock Engineering, 8, 35-48.   DOI
20 Pouya A. and Ghoreychi M., 2001, Determination of rock mass strength properties by homogenization, Int. J. Numer Anal Methods., 25, 1285-1303.   DOI
21 Pratt H.R., Black A.D., Brown W.S. and Brace W.F., 1972, The effect of specimen size on the mechanical properties of unjointed diorite, Int. J. Rock Mech. and Min. sci., 9, 519-529.
22 Salamon M.D.G., 1968, Elastic moduli of a stratified rock mass, Int. J. Rock Mech. Min. Sci., 5, 519-538.   DOI
23 Serafim J.L. and Pereira J.P., 1983, Consideration of the geomechanical classification of Bieniawski, Proc. Int. Symp. on Engineering Geology and Underground Construction, Lisbon, 1, 33-44.
24 Wang S. and Kulatilake P.H.S.W., 1993, Linking between joint geometry models and a distinct element method in three dimensions to perform stress analyses in rock masses containing finite size joints, Jpn. Soc Soil Mech. and Found Eng., 33, 88-98.
25 Singh B., 1973, Continuum characterization of a jointed rock mass, Int. J. Rock Mech. Min. Sci., 10, 311-335.   DOI