Discrete fracture network modeling for estimation of rock mass in-situ fragmentation in caving extraction methods

Document Type : Original Article

Authors

1 . PhD Student of Mining Engineering, Shahrood University of Technology,

2 Associate Prof., Department of Mining Engineering, Shahrood University of Technology

3 Assistant Prof., Department of Mining Enginneering, Yazd University

Abstract

One of the most critical factors for estimation of cavability in prefeasibility stage in caving extraction methods is evaluation of In situ fragmentation. Poor estimation of this variable can lead to production and processing problems, or in the worst scenario, failure of the project. In recent years with help of new stochastic discontinuity geometrical modeling, joints those are the main factor for in situ fragmentation, modeled more in tune with reality. Often in nature, discontinuity persistence especially in joints is not infinite. This has a great impact on the cavability of ore bodies. In a new recent stochastic geometrical modeling that is named discrete fracture network (DFN), discontinuities modeled finite that is more in tune with reality. Mathematica Software is selected for writing 2dimensional discrete fracture network code (DFN2D), because of its good graphics and calculations abilities. This code (DFN2D) has good different abilities like producing of numerical and graphical outputs, making finite and infinite joints models, defining of complete blocks with computation of their areas from joints intersections, consideration of joints hierarchies, production of suitable outputs for numerical codes like UDEC & PFC2D and statistics outputs of any model geometrical parameters. With processing of information from joint study in a copper mine and fitness of well probability density functions for any geometrical parameters of joint sets, 2D geometrical modeling with DFN2D was made. Statistics outputs from model and joint intensity and density had a good fitness with reality (input data). In situ fragmentation computed from area of complete blocks also rate of blocky area is defined.

Keywords

Main Subjects


امینی، ا.، و  یاراحمدی بافقی، ع.، 1386. مدل سازی سه بعدی هندسی، ژئوتکنیکی توده‌سنگ‌های درزه‌دار به روش آماری ( مطالعه موردی:  بلوک تکتونیکی II معدن چغارت). مجموعه مقالات سومین کنفرانس مکانیک سنگ ایران، دانشگاهصنعتی امیرکبیر، تهران.
 گودرزی، ه.، و یاراحمدی بافقی، ع.، 1392. مدل‌سازی سه‌بعدی هندسی ـ ژئوتکنیکی توده‌سنگ‌های درزه‌دار به روش دیسک‌های تصادفی (ارائه برنامه RD3DGM)، مجموعه مقالات دهمین کنفرانس ملی تونل، تهران.
گودرزی، ه.، و یاراحمدی بافقی، ع.، 1393. مدل‌سازی 2 بعدی هندسی ناپیوستگی‌ها در نرم‌افزار تحلیل عددی  UDEC و رفع عیب آن با استفاده از برنامه 3DGM، مجموعه مقالات پنجمین کنفرانس مکانیک سنگ ایران.
Baecher, G., 1972. Site exploration: a probabilistic approach. PhD dissertation. Cambridge, MA: MIT.
Baecher, G.B., 1983. Statistical Analysis  of Rock Mass Fracturing. Journal  of  Mathematical Geology, 15(2), 329-347. DOI 10.1007/BF01036074.
Baghbanan, A., Jing, L., 2008. Hydraulic Properties of Fractured Rock Masses with Correlated Fracture Length and Aperture. International Journal of Rock Mechanics & Mining Sciences, 44(5), 704– 719. DOI:10.1016/j.ijrmms.2006.11.001.
Bang, S.H., Jeon, S., Kwon, S., 2012. Modeling the Hydraulic Characteristics of a Fractured Rock Mass with Correlated Fracture Length and Aperture: Application in the Underground Research Tunnel at Kaeri. Nuclear Engineering and Technology, 44 (6), 639-652. DOI:10.5516/ 02.2011.026.
Brown, E.T., 2003. Block CavingGeomechanics, The International Caving Study Stage I 1997-2000, Julius Kruttschnitt Mineral Research Centre, Brisbane, Australia.
Dershowitz, W.S., Einstein, H.H., 1988. Characterizing Rock Joint Geometry with Joint System Models. Rock Mechanics and Rock Engineering 21(1), 21–51. DOI:10.1007/BF01019674.
Hoek, E.T., 1998. Reliability of the Hoek–Brown estimates of rock mass properties and their impact on design. Int J Rock Mech Min Sci; 35: 63–8.
Hudson, J.A., La Pointe, P.R., 1980. Printed Circuits for Studying Rock Mass Permeability, International journal of rock mechanics and mining sciences and geomechanics abstracts, Technical Note, 17(5), 297-301. DOI:10.1016/0148-9062(80)90812-8.
Hudson, J.A., Priest, S.D., 1983. Discontinuity Frequency in Rock Masses. International Journal of Rock Mechanics, Mining Sciences & Geomechanics, Abstract, 20(2), 73-89. DOI:10.1016/0148-9062(83)90329-7.
Ivanova, V., Xiaomeng, Y., Veneziano, D., Einstein, H.H., 1995. Development  of Stochastic Models for Fracture Systems. Rock Mechanics, Balkema, Rotterdam, ISBN 90 5410 552 6.
Kulatilake, P.H.S.W., Chen, J., Teng, J., 1996. Discontinuity Geometry Characterization in a Tunnel Close to the Proposed Permanent Shiplock Area of the Three Gorges Dam site in China. International Journal of Rock Mechanics, Mining Science & Geomechanics Abstract, 33(3), 255-277. DOI:10.1016/0148-9062(95)00060-7.
Kulatilake, P.H.S.W., Park, J., Um, J., 2004. Estimation of Rock Mass Strength and Deformability in 3-D for a 30 m Cube at a Depth of 485 m at Aspo Hard Rock Laboratory. Geotechnical and Geological Engineering, 22(3), 313–330. DOI:10.1023/B:GEGE.0000025033.21994.c0.
Kulatilake, P.H.S.W., Um, J., Wang, M., 2003. Stochastic Fracture Geometry Modeling in 3-D Including Validations for a Part of Arrowhead East Tunnel, California, USA. Engineering Geology, 70(1), 131-155. DOI:10.1016/S0013-7952(03)00087-5.
Laubscher, D.H., 2003. Cave Mining Handbook, De Beers, p. 138.
Martel, S., Hestir, K., Long, J.C.S., 1991. Generation of Fracture Patterns Using Self-Similar Function Concepts. Earth Sciences Division Annual Report, Lawrence Berkeley Lab, Berkeley, California, 52-56.
Pine R.J., Coggan, J.S., Flynn, Z., Elmo, D., 2006. The development of a comprehensive numerical modelling approach for pre-fractured rock masses. Rock Mechanics and Rock Engineering. 39. 5: 395- 419.
Pine, R.J., Coggan, J.S., Flynn, Z., Elmo, D., 2006. The Development of a New Numerical Modeling Approach for Naturally Fractured Rock Masses. Rock Mechanics and Rock Engineering, 39(5), 395- 419. DOI:10.1007/s00603-006-0083-x.
Priest, S.D., 1993. Discontinuity Analysis for Rock Engineering. Published by Chapman & Hall, London, p. 473. ISBN: 978-94-010-4656-5.
Priest, S.D., Hudson, J.A., 1976. Discontinuity Spacing in Rock. International Journal of RockMechanics, Mining Sciences & Geomechanics, Abstract 13(5), 135-148. DOI:10.1016/0148-9062(76)90818-4.
Priest, S.D., Samaniego, J.A., 1988. The Statistical Analysis of Rigid Block Stability in Jointed Rock Masses. 5thAustralia-New Zealand Conference on Geomachanics, (pp. 398-403), Barton, A.C.T.: Institution of Engineers, Australia, Sydney. ISBN: 0858254271 & 0858254085.
Reyes, O., Einstein, H. H., 1991. Failure Mechanics of Fractured Rock - A Fracture Coalescence Model. 7th International Society for Rock Mechanics, A.A. Balkema. Permission to Distribute -
Robinson, P C., 1983. Connectivity of Fracture Systems - A Percolation Theory Approach. Journal of Physics A: Mathematical and General 16(3), 605–614. DOI:10.1088/0305-4470/16/3/020.
Rogers, S.F., Kennard, D.K., Dershowitz, W.S., Vanas, A., 2007. Characterising the in situ fragmentation of a fractured rock mass using a discrete fracture network  approach, Rock Mechanics: Meeting Society's Challenges and Demands - Eberhardt, Stead & Morrison (eds) Taylor & Francis Group, London, ISBN 978-0-415-44401-9.
Rogers, S.F., Moffitt, K.M., Kennard, D.T., 2006. Probabilistic slope and tunnel block stability analysis using realistic fracture network models. In Proc. 41st U.S. Symposium on Rock Mechanics, Golden, CO. ARM, VUSRMS, 06-1052.
Rogers, S.F., Elmo, D., Catalan, A., 2014. Volumetric Fracture Intensity Measurement for Improved Rock Mass Characterisation and Fragmentation Assessment in Block Caving Operations. International Journal of Rock Mechanics Rock Engineering, 44(5), 704– 719.
Sari, M., 2009. The Stochastic Assessment of Strength  and Deformability Characteristics for Apyroclastic Rock Mass. International Journal of Rock Mechanics & Mining Sciences, 46(3), 613-628. DOI:10.1016/j.ijrmms.2008.07.007.
Tollenaar R.N., 2008. Characterization of discrete fracture networks and their influence on caveability and fragmentation. (Master of Applied Science) The University of British Colombia.
Wanga, C., Tannant, D.D., Lilly, P.A., 2003. Numerical analysis of the stability of heavily jointed Rock slopes using PFC2D. International Journal of Rock Mechanics & Mining Sciences 40, 415–424.
Wu, F., Wang, S., 2002. Statistical Model for Structure of Jointed Rock Mass. Geotechnique, 52(2), 137–140. DOI: 10.1680/geot.2002.52.2.137.
Yu, X., 1992. Stochastic Modeling of Rock Fracture Geometry. M.S. Thesis, MIT, Cambridge, MA. URI: http://hdl.handle.net/1721.1/12176.
Xu, C., Dowd, P., 2010. A New Computer Code for Discrete Fracture Network Modeling. Computers & Geosciences, 36(3), 292–301. DOI:10.1016/j.cageo.2009.05.012.
Zadhesh, J., Jalali, S.E., Ramezanzadeh, A., 2013. Estimation of Joint Trace Length Probability Distribution Function  in Igneous, Sedimentary, and Metamorphic Rocks. Arabian Journal of Geosciences, DOI 10.1007/s12517-013-0861-1.
Zhang, L., Einstein, H.H., 2000. Estimating the Intensity of Rock Discontinuities. International Journal of Rock Mechanics and Mining Science, 37(5), 819-837. DOI:10.1016/S1365-1609(00)00022-8.