Abstract
From a mesoscopic perspective, coal is a complicated net-shaped force-bearing system. It is reasonable to simulate this complicated system by particles and parallel bonds among the particles. Based on this cognition, Particle Flow Code (PFC) has been developed. The model calibration is fundamental for effective simulation of crack behaviors using PFC. Only partial meso-parameters have been considered so far, and the calibration process is not effectively arranged. In this paper, a combination optimization method, termed as GT–RSM–MD, was proposed. Based on this method, the calibration was effectively conducted. The main controlling parameters of elasticity modulus, Poisson’s ratio, and uniaxial compressive strength were obtained by the grey relational analysis and factorial screening. Subsequently, the response surface models between three macro-parameters and their main controlling meso-parameters were established via the experimental design and model verification. Based on these models, fast match between meso-parameters and macro-parameters was realized. The PFC model calibration provides a crucial reference for selection of the meso-parameters set in the simulation.
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Abdollahipour A, Fatehi MM, Yarahmadi BA, Gholamnejad J (2016) DEM simulation of confining pressure effects on crack opening displacement in hydraulic fracturing. Int J Min Sci Technol 26:557–561
Acherjee B, Kuar AS, Mitra S, Misra D (2013) A sequentially integrated multi-criteria optimization approach applied to laser transmission weld quality enhancement—a case study. Int J Adv Manuf Technol 65:641–650
Adalarasan R, Santhanakumar M (2015) Application of Taguchi based response surface method (TRSM) for optimization of multi responses in drilling Al/SiC/Al2O3 hybrid composite. J Inst Eng India Ser C 95:65–71
Ahmad N, Kamal S, Raza ZA, Hussain T, Anwar F (2016) Multi-response optimization in the development of oleo-hydrophobic cotton fabric using Taguchi based grey relational analysis. Appl Surf Sci 367:370–381
Aslan N, Shahrivar AA, Abdollahi H (2012) Multi-objective optimization of some process parameters of a lab-scale thickener using grey relational analysis. Sep Purif Technol 90:189–195
Azizi D, Shafaei SZ, Noaparast M, Abdollahi H (2012) Modeling and optimization of low-grade Mn bearing ore leaching using response surface methodology and central composite rotatable design. Trans Nonferr Metal Soc 22:2295–2305
Bahrani N, Kaiser PK, Valley B (2014) Distinct element method simulation of an analogue for a highly interlocked, non-persistently jointed rock mass. Int J Rock Mech Min Sci 71:117–130
Cho N, Martin CD, Sego DC (2007) A clumped particle model for rock. Int J Rock Mech Min 44:997–1010
Chong ZH, Li XH, Hou P, Chen XY, Wu YC (2017) Moment tensor analysis of transversely isotropic shale based on the discrete element method. Int J Min Sci Technol 27:507–515
Cundall PA, Strack OD (1979) A discrete numerical model for granular assemblies. Geotechnique 29:1471–1476
David FB, Brian JM (2002) Simulation of sedimentary rock deformation: lab-scale model calibration and parameterization. Geophys Res Lett 29:1054
Deng J (1982) Control problems of grey systems. Syst Control Lett 5:288–294
Dubey AK, Yadava V (2008) Multi-objective optimisation of laser beam cutting process. Opt Laser Technol 40:562–570
Ferreira SLC, Bruns RE, Ferreira HS, Matos GD, David JM, Brand Ao GC, Silva EGPD, Portugal LA, Reis PSD, Souza AS, Santos WNLD (2007) Box–Behnken design: an alternative for optimization of analytical methods. Anal Chim Acta 597:179–186
Guo JW, Xu GA, Jing HW, Kuang YJ (2013) Fast determination of meso-level mechanical parameters of PFC models. Int J Min Sci Technol 23:157–162
Hatami M, Cuijpers MCM, Boot MD (2015) Experimental optimization of the vanes geometry for a variable geometry turbocharger (VGT) using a design of experiment (DoE) approach. Energy Convers Manag 106:1057–1070
Huang H (1999) Discrete element modeling of tool-rock interaction. Ph.D. thesis, University of Minnesota, Minneapolis, MN
Huang ZM, Ma ZG, Zhang L, Gong P, Zhang YK, Liu F (2016) A numerical study of macro-mesoscopic mechanical properties of gangue backfill under biaxial compression. Int J Min Sci Technol 26:309–317
Jing L, Hudson JA (2002) Numerical methods in rock mechanics. Int J Rock Mech Min 39:409–427
Kennedy M, Krouse D (1999) Strategies for improving fermentation medium performance: a review. J Ind Microbiol Biotechnol 23:456–475
Koyama T, Jing L (2007) Effects of model scale and particle size on micro-mechanical properties and failure processes of rocks—a particle mechanics approach. Eng Anal Bound Elem 31:458–472
Kumar S, Chow TSW, Pecht M (2010) Approach to fault identification for electronic products using Mahalanobis distance. IEEE Trans Instrum Meas 59:2055–2064
Kwak JS (2005) Application of Taguchi and response surface methodologies for geometric error in surface grinding process. Int J Mach Tool Manuf 45:327–334
Liu NM, Horng JT, Chiang KT (2009) The method of grey-fuzzy logic for optimizing multi-response problems during the manufacturing process: a case study of the light guide plate printing process. Int J Adv Manuf Technol 41:200–210
Liu Z, Zhou N, Zhang JX (2013) Random gravel model and particle flow based numerical biaxial test of solid backfill materials. Int J Min Sci Technol 23:463–467
Liu T, Lin BQ, Zou QL, Zhu CJ, Guo C, Li J (2015a) Investigation on mechanical properties and damage evolution of coal after hydraulic slotting. J Nat Gas Sci Eng 24:489–499
Liu T, Lin BQ, Zheng CS, Zou QL, Zhu CJ, Yan FZ (2015b) Influence of coupled effect among flaw parameters on strength characteristic of precracked specimen: application of response surface methodology and fractal method. J Nat Gas Sci Eng 26:857–866
Muhammad N, Manurung YHP, Jaafar R, Abas SK, Tham G, Haruman E (2013) Model development for quality features of resistance spot welding using multi-objective Taguchi method and response surface methodology. J Intell Manuf 24:1175–1183
Nie L, Azarian M, Keimasi M, Pecht M (2007) Prognostics of ceramic capacitor temperature-humidity-bias reliability using Mahalanobis distance analysis. Circuit World 33:21–28
Park E, Jeon Y, Ryu C, Martin CD, Christiansson R (2006) Numerical approach for a rock mechanics descriptive model. Tunn Undergr Space Technol 21:446–447
Patil N, Das D, Pecht M (2015) Anomaly detection for IGBTs using Mahalanobis distance. Microelectron Reliab 55:1054–1059
Potyondy DO, Cundall PA (2004) A bonded-particle model for rock. Int J Rock Mech Min 41:1329–1364
Qu Y, Chu M, Shen GD, Yuan Y, Zhang Y, Chang ZB (2016) Analysis of factors affecting Baori lignite heat fragmentation during upgrading in rotary kiln. J China Univ Min Sci 45:386–410
Raza ZA, Ahmad N, Kamal S (2014) Multi-response optimization of rhamnolipid production using grey rational analysis in Taguchi method. Biotechnol Rep 3:86–94
Sarıkaya M, Güllü A (2015) Multi-response optimization of minimum quantity lubrication parameters using Taguchi-based grey relational analysis in turning of difficult-to-cut alloy Haynes 25. J Clean Prod 91:347–357
Soltani M, Moghaddam TB, Karima MR, Baaj H (2015) Analysis of fatigue properties of unmodified and polyethylene terephthalate modified asphalt mixtures using response surface methodology. Eng Fail Anal 58:238–248
Sudeepan J, Kumar K, Barman TK, Sahoo P (2014) Study of friction and wear properties of ABS/Kaolin polymer composites using grey relational technique. Procedia Technol 14:196–203
Wang Y, Tonon F (2010) Calibration of a discrete element model for intact rock up to its peak strength. Int J Numer Anal Meth Geomech 34:447–469
Wen ZJ, Wang X, Li QH, Lin G, Chen SJ, Jiang YJ (2016) Simulation analysis on the strength and acoustic emission characteristics of joint rock mass. Tehnički vjesnik 23:1277–1284
Wen ZJ, Wang X, Chen LJ, Lin G, Zhang HL (2017) Size effect on acoustic emission characteristics of coal-rock damage evolution. Adv Mater Sci Eng 2017:1–9
Yang B, Jiao Y, Lei S (2006) A study on the effects of microparameters on macroproperties for specimens created by bonded particles. Eng Comput 23:607–631
Yang SQ, Tian WL, Ju Y (2016) Discrete element simulation on shear deformation and crack evolution mechanism of coal specimen. J China Univ Min Sci 45:1148–1155
Yoon J (2007) Application of experimental design and optimization to PFC model calibration in uniaxial compression simulation. Int J Rock Mech Min 44:871–889
Zhang XP, Wong LNY (2012) Cracking processes in rock-like material containing a single flaw under uniaxial compression: a numerical study based on parallel bonded-particle model approach. Rock Mech Rock Eng 45:711–737
Zhang XP, Wong LNY (2013) Crack initiation, propagation and coalescence in rock-like material containing two flaws: a numerical study based on bonded-particle model approach. Rock Mech Rock Eng 46:1001–1021
Zou Q, Lin B, Liu T, Zhou Y, Zhang Z, Yan F (2014a) Variation of methane adsorption property of coal after the treatment of hydraulic slotting and methane pre-drainage: a case study. J Nat Gas Sci Eng 20:396–406
Zou Q, Lin B, Liang J, Liu T, Zhou Y, Yan F, Zhu C (2014b) Variation in the pore structure of coal after hydraulic slotting and gas drainage. Adsorp Sci Technol 32:647–666
Acknowledgements
This work is financially supported by the State Key Research Development Program of China (Grant No. 2017YFC0804206), Fundamental Research Funds for the Central Universities (Grant No. 106112017CDJXY240001), and the National Natural Science Foundation of China (51674050), which are gratefully acknowledged.
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Zou, Q., Lin, B. Modeling the relationship between macro- and meso-parameters of coal using a combined optimization method. Environ Earth Sci 76, 479 (2017). https://doi.org/10.1007/s12665-017-6816-1
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DOI: https://doi.org/10.1007/s12665-017-6816-1