Abstract
The present study uses the finite element method for simulating the crustal deformation due to the dislocation of a segment of the North-Tehran fault located in the Karaj metropolis region. In this regard, a geological map of Karaj that includes the fault segment is utilized in order to create the geometry of finite element model. First, finite element analysis of homogeneous counterpart of the fault’s domain with two different sections was performed, and the results were compared to those of Okada’s analytical solutions. The fault was modeled with the existing heterogeneity of the domain having been considered. The influences of both uniform and non-uniform slip distributions were investigated. Furthermore, three levels of simplification for geometric creation of geological layers’ boundaries were defined in order to evaluate the effects of the geometric complexity of the geological layering on the displacement responses obtained with the finite element simulations. In addition to the assessment of slip distribution, layering complexity and heterogeneity, the results demonstrate both the capability and usefulness of the proposed models in the dislocation analysis for the Karaj segment of North-Tehran fault.
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References
Sabagh M, Ghalandarzadeh A. Centrifuge experiments for shallow tunnels at active reverse fault intersection. Frontiers of Structural and Civil Engineering, 2020, 14(3): 731–745
Izadi M, Bargi K. Improvement of mechanical behavior of buried pipelines subjected to strike-slip faulting using textured pipeline. Frontiers of Structural and Civil Engineering, 2019, 13(5): 1105–1119
Igel H. Computational Seismology: A Practical Introduction. Oxford: OUP Oxford, 2016
Fichera G. The Italian contribution to the mathematical theory of elasticity. Meccanica, 1984, 19(4): 259–268
Okada Y. Surface deformation due to shear and tensile faults in a half-space. Bulletin of the Seismological Society of America, 1985, 75(4): 1135–1154
Okada Y. Internal deformation due to shear and tensile faults in a half-space. Bulletin of the Seismological Society of America, 1992, 82(2): 1018–1040
van Zwieten G J, Hanssen R F, Gutiérrez M A. Overview of a range of solution methods for elastic dislocation problems in geophysics. Journal of Geophysical Research. Solid Earth, 2013, 118(4): 1721–1732
Zakian P. An efficient stochastic dynamic analysis of soil media using radial basis function artificial neural network. Frontiers of Structural and Civil Engineering, 2017, 11(4): 470–479
Ranjbarnia M, Zaheri M, Dias D. Three-dimensional finite difference analysis of shallow sprayed concrete tunnels crossing a reverse fault or a normal fault: A parametric study. Frontiers of Structural and Civil Engineering, 2020, 14(4): 998–1011
Megna A, Barba S, Santini S. Normal-fault stress and displacement through finite-element analysis. Annals of Geophysics, 2005, 48(6): 1009–1016
Megna A, Barba S, Santini S, Dragoni M. Effects of geological complexities on coseismic displacement: Hints from 2D numerical modelling. Terra Nova, 2008, 20(3): 173–179
van Zwieten G J, van Brummelen E H, van der Zee K G, Gutiérrez M A, Hanssen R F. Discontinuities without discontinuity: The weakly-enforced slip method. Computer Methods in Applied Mechanics and Engineering, 2014, 271: 144–166
Zakian P, Khaji N. Spectral finite element simulation of seismic wave propagation and fault dislocation in elastic media. Asian Journal of Civil Engineering, 2016, 17(8): 1189–1213
Zakian P, Khaji N. A stochastic spectral finite element method for solution of faulting-induced wave propagation in materially random continua without explicitly modeled discontinuities. Computational Mechanics, 2019, 64(4): 1017–1048
Zhou S, Zhuang X, Zhu H, Rabczuk T. Phase field modelling of crack propagation, branching and coalescence in rocks. Theoretical and Applied Fracture Mechanics, 2018, 96: 174–192
Zhang Y, Zhuang X. Cracking elements: A self-propagating strong discontinuity embedded approach for quasi-brittle fracture. Finite Elements in Analysis and Design, 2018, 144: 84–100
Zhang Y, Zhuang X. Cracking elements method for dynamic brittle fracture. Theoretical and Applied Fracture Mechanics, 2019, 102: 1–9
Rabczuk T, Belytschko T. Cracking particles: A simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering, 2004, 61(13): 2316–2343
Giraldo D, Restrepo D. The spectral cell method in nonlinear earthquake modeling. Computational Mechanics, 2017, 60(6): 883–903
Zakian P. Stochastic finite cell method for structural mechanics. Computational Mechanics, 2021, 68(1): 185–210
Ren H, Zhuang X, Cai Y, Rabczuk T. Dual-horizon peridynamics. International Journal for Numerical Methods in Engineering, 2016, 108(12): 1451–1476
Cattin R, Briole P, Lyon-Caen H, Bernard P, Pinettes P. Effects of superficial layers on coseismic displacements for a dip-slip fault and geophysical implications. Geophysical Journal International, 1999, 137(1): 149–158
Zhao S, Müller R, Takahashi Y, Kaneda Y. 3-D finite-element modelling of deformation and stress associated with faulting: Effect of inhomogeneous crustal structures. Geophysical Journal International, 2004, 157(2): 629–644
Lavecchia G, Castaldo R, Nardis R, De Novellis V, Ferrarini F, Pepe S, Brozzetti F, Solaro G, Cirillo D, Bonano M, Boncio P, Casu F, De Luca C, Lanari R, Manunta M, Manzo M, Pepe A, Zinno I, Tizzani P. Ground deformation and source geometry of the 24 August 2016 Amatrice earthquake (Central Italy) investigated through analytical and numerical modeling of DInSAR measurements and structural-geological data. Geophysical Research Letters, 2016, 43(24): 12389–12398
Zakian P, Khaji N, Soltani M. A Monte Carlo adapted finite element method for dislocation simulation of faults with uncertain geometry. Journal of Earth System Science, 2017, 126(7): 105
Gómez D D, Bevis M, Pan E, Smalley R Jr. The influence of gravity on the displacement field produced by fault slip. Geophysical Research Letters, 2017, 44(18): 9321–9329
Hearn E H. Kinematics of southern California crustal deformation: Insights from finite-element models. Tectonophysics, 2019, 758: 12–28
Berberian M, Yeats R S. Patterns of historical earthquake rupture in the Iranian Plateau. Bulletin of the Seismological Society of America, 1999, 89(1): 120–139
Majidinejad A, Zafarani H, Vahdani S. Dynamic simulation of ground motions from scenario earthquakes on the North-Tehran fault. Geophysical Journal International, 2017, 209(1): 434–452
Majidinejad A, Zafarani H, Vahdani S. Broad-band simulation of M7. 2 earthquake on the North-Tehran fault, considering non-linear soil effects. Geophysical Journal International, 2018, 213(2): 1162–1176
Ritz J F, Nazari H, Ghassemi A, Salamati R, Shafei A, Solaymani S, Vernant P. Active transtension inside central Alborz: A new insight into northern Iran—southern Caspian geodynamics. Geology, 2006, 34(6): 477–480
Liu G R, Quek S S. Finite Element Method: A Practical Course. Oxford: Elsevier Science, 2003
Kim N H. Introduction to Nonlinear Finite Element Analysis. New York: Springer, 2014
Boulbes R J. Troubleshooting Finite-Element Modeling with Abaqus. Cham: Springer, 2020
Hori M. Introduction to Computational Earthquake Engineering. London: World Scientific, 2011
Zhang J, Xiao Y, Liang Z. Mechanical behaviors and failure mechanisms of buried polyethylene pipes crossing active strike-slip faults. Composites. Part B, Engineering, 2018, 154: 449–466
Khezri M, Heidarzadeh G, Shahidi A, Oroujnia P, Vakil Baghmisheh F, Ghaemi J, Haddadan M. Urban geological map of Karaj. Geological Survey & Mineral Exploration of Iran, 2013
Wells D L, Coppersmith K J. New empirical relationships among magnitude, rupture length, rupture width, rupture area, and surface displacement. Bulletin of the Seismological Society of America, 1994, 84(4): 974–1002
Kim Y S, Sanderson D J. The relationship between displacement and length of faults: A review. Earth-Science Reviews, 2005, 68(3–4): 317–334
Chen G, Chenevert M E, Sharma M M, Yu M. A study of wellbore stability in shales including poroelastic, chemical, and thermal effects. Journal of Petroleum Science Engineering, 2003, 38(3–4): 167–176
Oku H, Haimson B, Song S R. True triaxial strength and deformability of the siltstone overlying the Chelungpu fault (Chi-Chi earthquake), Taiwan (China). Geophysical Research Letters, 2007, 34(9): L09306
Sanahuja J, Dormieux L, Meille S, Hellmich C, Fritsch A. Micromechanical explanation of elasticity and strength of gypsum: From elongated anisotropic crystals to isotropic porous polycrystals. Journal of Engineering Mechanics, 2010, 136(2): 239–253
Hooshmand A, Aminfar M H, Asghari E, Ahmadi H. Mechanical and physical characterization of Tabriz Marls, Iran. Geotechnical and Geological Engineering, 2012, 30(1): 219–232
Li L, Meng Q, Wang S, Li G, Tang C. A numerical investigation of the hydraulic fracturing behaviour of conglomerate in Glutenite formation. Acta Geotechnica, 2013, 8(6): 597–618
Liu H, Bu Y, Nazari A, Sanjayan J G, Shen Z. Low elastic modulus and expansive well cement system: The application of gypsum microsphere. Construction & Building Materials, 2016, 106: 27–34
Turichshev A, Hadjigeorgiou J. Triaxial compression experiments on intact veined andesite. International Journal of Rock Mechanics and Mining Sciences, 2016, 86: 179–193
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The authors are grateful to the Geological Survey & Mineral Exploration of Iran for providing the geological map.
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Zakian, P., Asadi Hayeh, H. Finite element simulation for elastic dislocation of the North-Tehran fault: The effects of geologic layering and slip distribution for the segment located in Karaj. Front. Struct. Civ. Eng. 16, 533–549 (2022). https://doi.org/10.1007/s11709-022-0802-8
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DOI: https://doi.org/10.1007/s11709-022-0802-8