Calibration method of mesoscopic parameter in sandy cobble soil triaxial test based on PFC3D

Pengfei LI, Xiaopu CUI, Yingjie WEI, Junwei XIA, Xinyu WANG

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Front. Struct. Civ. Eng. ›› 2023, Vol. 17 ›› Issue (12) : 1924-1933. DOI: 10.1007/s11709-023-0028-4
RESEARCH ARTICLE

Calibration method of mesoscopic parameter in sandy cobble soil triaxial test based on PFC3D

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Abstract

This paper presents a rapid and effective calibration method of mesoscopic parameters of a three-dimensional particle flow code (PFC3D) model for sandy cobble soil. The method is based on a series of numerical tests and takes into account the significant influence of mesoscopic parameters on macroscopic parameters. First, numerical simulations are conducted, with five implementation steps. Then, the multi-factor analysis of variance method is used to analyze the experimental results, the mesoscopic parameters with significant influence on the macroscopic response are singled out, and their linear relations to macroscopic responses are estimated by multiple linear regression. Finally, the parameter calibration problem is transformed into a multi-objective function optimization problem. Numerical simulation results are in good agreement with laboratory results both qualitatively and quantitatively. The results of this study can provide a basis for the calibration of microscopic parameters for the investigation of sandy cobble soil mechanical behavior.

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Keywords

sandy cobble soil / particle flow code / orthogonal experiment / regression analysis / multi-objective optimization / calibration

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Pengfei LI, Xiaopu CUI, Yingjie WEI, Junwei XIA, Xinyu WANG. Calibration method of mesoscopic parameter in sandy cobble soil triaxial test based on PFC3D. Front. Struct. Civ. Eng., 2023, 17(12): 1924‒1933 https://doi.org/10.1007/s11709-023-0028-4

References

[1]
Huang J Z, Xu G U, Wang Y, Ouyang X W. Equivalent deformation modulus of sandy pebble soil––Mathematical derivation and numerical simulation. Mathematical Biosciences and Engineering, 2019, 16(4): 2756–2774
CrossRef Google scholar
[2]
Zhao B Y, Liu D Y, Jiang B. Soil conditioning of waterless sand-pebble stratum in EPB tunnel construction. Geotechnical and Geological Engineering, 2018, 36(4): 2495–2504
CrossRef Google scholar
[3]
Akram M S, Sharrock G B. Physical and numerical investigation of a cemented granular assembly of steel spheres. International Journal for Numerical and Analytical Methods in Geomechanics, 2010, 34(18): 1896–1934
CrossRef Google scholar
[4]
Bahaaddini M, Hagan P, Mitra R, Hebblewhite B. Numerical study of the mechanical behavior of nonpersistent jointed rock masses. International Journal of Geomechanics, 2016, 16(1): 04015035
CrossRef Google scholar
[5]
Bahaaddini M, Hagan P C, Mitra R, Khosravi M H. Experimental and numerical study of asperity degradation in the direct shear test. Engineering Geology, 2016, 204: 41–52
CrossRef Google scholar
[6]
Bahaaddini M. Effect of boundary condition on the shear behaviour of rock joints in the direct shear test. Rock Mechanics and Rock Engineering, 2017, 50(5): 1141–1155
CrossRef Google scholar
[7]
Abdoulaye H N, Ouahbi T, Taibi S, Souli H, Marie J, Pantet A. Relationships between the internal erosion parameters and the mechanical properties of granular materials. European Journal of Environmental and Civil Engineering, 2019, 23(11): 1368–1380
CrossRef Google scholar
[8]
Cui Z, Sheng Q, Leng X L, Ma Y L. Investigation of the long-term strength of Jinping marble rocks with experimental and numerical approaches. Bulletin of Engineering Geology and the Environment, 2019, 78(2): 877–882
CrossRef Google scholar
[9]
Di Q G, Li P F, Zhang M J, Cui X P. Influence of relative density on deformation and failure characteristics induced by tunnel face instability in sandy cobble strata. Engineering Failure Analysis, 2022, 141: 106641
CrossRef Google scholar
[10]
Di Q G, Li P F, Zhang M J, Cui X P. Investigation of progressive settlement of sandy cobble strata for shield tunnels with different burial depths. Engineering Failure Analysis, 2022, 141: 106708
CrossRef Google scholar
[11]
Lei H Y, Zhang Y J, Hu Y, Liu Y N. Model test and discrete element method simulation of shield tunneling face stability in transparent clay. Frontiers of Structural and Civil Engineering, 2021, 15(1): 147–166
CrossRef Google scholar
[12]
Zhang X Y, Wang T C, Zhao C Y, Jiang M J, Xu M J, Mei G X. Supporting mechanism of rigid-flexible composition retaining structure in sand ground using discrete element method. Computers and Geotechnics, 2022, 151: 104967
CrossRef Google scholar
[13]
Potyondy D O, Cundall P A. A bonded-particle model for rock. International Journal of Rock Mechanics and Mining Sciences, 2004, 41(8): 1329–1364
CrossRef Google scholar
[14]
Fan X, Yang Z J, Li K H. Effects of the lining structure on mechanical and fracturing behaviors of four-arc shaped tunnels in a jointed rock mass under uniaxial compression. Theoretical and Applied Fracture Mechanics, 2021, 112: 102887
CrossRef Google scholar
[15]
Xu Z H, Wang Z Y, Wang W Y, Lin P, Wu J. An integrated parameter calibration method and sensitivity analysis of microparameters on mechanical behavior of transversely isotropic rocks. Computers and Geotechnics, 2022, 142: 104573
CrossRef Google scholar
[16]
VanM J. Fracture Processes of Concrete. Boca Raton, FL: CRC Press, Inc., 1997
[17]
MierVJanG M. Microstructural effects on fracture scaling in concrete, rock and ice. In: IUTAM Symposium on Scaling Laws in Ice Mechanics and Ice Dynamics. Dordrecht: Springer Netherlands, 2001, 171–182
[18]
Jensen R P, Bosscher P J, Plesha M E, Edil T B. DEM simulation of granular media−structure interface: Effects of surface roughness and particle shape. International Journal for Numerical and Analytical Methods in Geomechanics, 1999, 23(6): 531–547
CrossRef Google scholar
[19]
Yang S Q, Huang Y H, Jing H W, Liu X R. Discrete element modeling on fracture coalescence behavior of red sandstone containing two unparallel fissures under uniaxial compression. Engineering Geology, 2014, 178: 28–48
CrossRef Google scholar
[20]
Xia L, Zeng Y W. Parametric study of smooth joint parameters on the mechanical behavior of transversely isotropic rocks and research on calibration method. Computers and Geotechnics, 2018, 98: 1–7
CrossRef Google scholar
[21]
Zhang Y L, Shao J F, de Saxcé G, Shi C, Liu Z B. Study of deformation and failure in an anisotropic rock with a three-dimensional discrete element model. International Journal of Rock Mechanics and Mining Sciences, 2019, 120: 17–28
CrossRef Google scholar
[22]
Yoon J. Application of experimental design and optimization to PFC model calibration in uniaxial compression simulation. International Journal of Rock Mechanics and Mining Sciences, 2007, 44(6): 871–889
CrossRef Google scholar
[23]
Hanley K J, O’sullivan C, Oliveira J C, Cronin K, Byrne E P. Application of Taguchi methods to DEM calibration of bonded agglomerates. Powder Technology, 2011, 210(3): 230–240
CrossRef Google scholar
[24]
Chehreghani S, Noaparast M, Rezai B, Ziaedin S. Bonded-particle model calibration using response surface methodology. Particuology, 2017, 32: 141–152
CrossRef Google scholar
[25]
Li K H, Yin Z Y, Cheng Y M, Cao P, Meng J J. Three-dimensional discrete element simulation of indirect tensile behaviour of a transversely isotropic rock. International Journal for Numerical and Analytical Methods in Geomechanics, 2020, 44(13): 1812–1832
CrossRef Google scholar
[26]
Xu Z H, Wang W Y, Lin P, Xiong Y, Liu Z Y, He S J. A parameter calibration method for PFC simulation: Development and a case study of limestone. Geomechanics and Engineering, 2020, 22(1): 97–108
[27]
Lu Y, Tan Y, Li X, Liu C. Methodology for simulation of irregularly shaped gravel grains and its application to DEM modeling. Journal of Computing in Civil Engineering, 2017, 31(5): 04017023
CrossRef Google scholar
[28]
Cui S W, Tan Y, Lu Y. Algorithm for generation of 3D polyhedrons for simulation of rock particles by DEM and its application to tunneling in boulder-soil matrix. Tunnelling and Underground Space Technology, 2020, 106: 103588
CrossRef Google scholar
[29]
Wu Z Y, Zhang J H, Yu H F, Fang Q, Ma H Y. Specimen size effect on the splitting-tensile behavior of coral aggregate concrete: A 3D mesoscopic study. Engineering Failure Analysis, 2021, 127: 105395
CrossRef Google scholar
[30]
Chen B Y, Yu H F, Zhang J H, Ma H Y, Tian F M. Effects of the embedding of cohesive zone model on the mesoscopic fracture behavior of concrete: A case study of uniaxial tension and compression tests. Engineering Failure Analysis, 2022, 142: 106709
CrossRef Google scholar
[31]
Elices M, Guinea G V, Gomez J, Planas J. The cohesive zone model: Advantages, limitations and challenges. Engineering Fracture Mechanics, 2002, 69(2): 137–163
CrossRef Google scholar
[32]
Shi C, Yang W K, Yang J X, Chen X. Calibration of micro-scaled mechanical parameters of granite based on a bonded-particle model with 2D particle flow code. Granular Matter, 2019, 21(2): 1–13
CrossRef Google scholar
[33]
Kwok C Y, Bolton M D. DEM simulations of thermally activated creep in soils. Geotechnique, 2010, 60(6): 425–433
CrossRef Google scholar
[34]
Bahrani N, Kaiser P K. Estimation of confined peak strength of crack-damaged rocks. Rock Mechanics and Rock Engineering, 2017, 50(2): 309–326
CrossRef Google scholar
[35]
Mehranpour M H, Kulatilake P H. Improvements for the smooth joint contact model of the particle flow code and its applications. Computers and Geotechnics, 2017, 87: 163–177
CrossRef Google scholar
[36]
PFC-ParticleFLOW Code. Version 5.0. Minnesota: Itasca Consulting Group, Inc., 2014
[37]
Zhang Z H, Zhang X D, Tang Y, Cui Y F. Discrete element analysis of a cross-river tunnel under random vibration levels induced by trains operating during the flood season. Journal of Zhejiang University—Science A, 2018, 19(5): 346–366
CrossRef Google scholar
[38]
Wu L, Zhang X D, Zhang Z H, Sun W C. 3D discrete element method modelling of tunnel construction impact on an adjacent tunnel. KSCE Journal of Civil Engineering, 2020, 24(2): 657–669
CrossRef Google scholar
[39]
Cheng P P, Zhuang X Y, Zhu H H, Li Y H. The construction of equivalent particle element models for conditioned sandy pebble. Applied Sciences, 2019, 9(6): 1137
CrossRef Google scholar
[40]
Huang Z Q, Wang C, Dong J Y, Zhou J J, Yang J H, Li Y W. Conditioning experiment on sand and cobble soil for shield tunneling. Tunnelling and Underground Space Technology, 2019, 87: 187–194
CrossRef Google scholar
[41]
Liu T, Xie Y, Feng Z H, Luo Y B, Wang K, Xu W. Better understanding the failure modes of tunnels excavated in the boulder-cobble mixed strata by distinct element method. Engineering Failure Analysis, 2020, 116: 104712
CrossRef Google scholar
[42]
Lu Y W, Zheng Y, Zuo Y Z. Experimental study on the strength and deformation characteristics of sandy pebble soil foundation based on the equivalent density method. IOP Conference Series. Earth and Environmental Science, 2021, 861(2): 022047
CrossRef Google scholar
[43]
Lu J F, Zhang C W, Jian P. Meso-structure parameters of discrete element method of sand pebble surrounding rock particles in different dense degrees. In: Proceedings of the 7th International Conference on Discrete Element Methods. Singapore: Springer, 2017, 188: 871–879
[44]
Liang X, Ye F, Ouyang A, Han X, Qin X Z. Theoretical analyses of the stability of excavation face of shield tunnel in Lanzhou metro crossing beneath the Yellow River. International Journal of Geomechanics, 2020, 20(11): 04020200
CrossRef Google scholar
[45]
Lu J F, Li D, Xue X Q, Ling S L. Macro-micromechanical properties of sandy pebble soil of different coarse-grained content. Earth Sciences Research Journal, 2018, 22(1): 65–71
CrossRef Google scholar
[46]
KroeseD PChanJ C. Statistical Modeling and Computation. New York: Springer, 2014, 306–308

Acknowledgements

The authors gratefully acknowledge the financial support provided by the National Natural Science Foundation of China (Grant No. 51978019) and the Beijing Natural Science Foundation (No. 8222004).

Conflict of Interests

The authors declare that they have no conflict of interest.

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2023 Higher Education Press
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