DOI QR코드

DOI QR Code

Crack behaviour of top layer in layered rocks

  • Chang, Xu (International Joint Research Laboratory of Henan Province for Underground Space Development and Disaster Prevention) ;
  • Ma, Wenya (School of Civil Engineering, Henan Polytechnic University) ;
  • Li, Zhenhua (School of Civil Engineering, Henan Polytechnic University) ;
  • Wang, Hui (School of Civil Engineering, Henan Polytechnic University)
  • Received : 2017.06.29
  • Accepted : 2018.03.15
  • Published : 2018.09.20

Abstract

Open-mode cracks could be commonly observed in layered rocks. A concept model is firstly used to explore the mechanism of the vertical cracks (VCs) in the top layer. Then the crack behaviour of the two-layer model is simulated based on a cohesive zone model (CZM) for layer interfaces and a plastic-damage model for rocks. The model indicates that the tensile stress normal to the VCs changes to compression if the crack spacing to layer thickness ratio is lower than a threshold. The results indicate that there is a threshold for interfacial shear strength that controls the crack patterns of the layered system. If the shear strength is lower than the threshold, the top layer is meshed by the VCs and interfacial cracks (ICs). When the shear strength is higher than the threshold, the top layer is meshed by the VCs and parallel cracks (PCs). If the shear strength is comparative to the threshold, a combining pattern of VCs, PCs and ICs for the top layer can be formed. The evolutions of stress distribution in the crack-bound block indicate that the ICs and PCs can reduce the load transferred for the substrate layer, and thus leads to a crack saturation state.

Keywords

Acknowledgement

Supported by : National Natural Science Fund of China, Henan Polytechnic University

References

  1. Arora, S. and Mishra, B. (2015), "Investigation of the failure mode of shale rocks in biaxial and triaxial compression tests", J. Rock Mech. Min. Sci., 79, 109-123. https://doi.org/10.1016/j.ijrmms.2015.08.014
  2. Aydan, O., Akagi, T. and Kawamoto, T. (1993), "The squeezing potential of rocks around tunnels theory and prediction", Rock Mech. Rock Eng., 26(2), 137-163. https://doi.org/10.1007/BF01023620
  3. Bai, T., Pollard, D.D. and Gao, H. (2000), "Explanation for crack spacing in layered materials", Nature, 403(6771), 753-756. https://doi.org/10.1038/35001550
  4. Bejari, H. and Hamidi, J.K. (2013), "Simultaneous effects of joint spacing and orientation on TBM cutting efficiency in jointed rock masses", Rock Mech. Rock Eng., 46(4), 897-907. https://doi.org/10.1007/s00603-012-0314-2
  5. Ben-Zion, Y. and Lyakhovsky, V. (2002), Accelerated Seismic Release and Related Aspects of Seismicity Patterns on Earthquake Faults, in Earthquake Processes: Physical Modelling, Numerical Simulation and Data Analysis Part II, Birkhauser, Basel, Switzerland.
  6. Chang, X., Shan, Y.F., Zhang, Z.H., Tang, C.A. and Ru, Z.L. (2015), "Behavior of propagating fracture at bedding interface in layered rocks", Eng. Geol., 197, 33-41 https://doi.org/10.1016/j.enggeo.2015.08.010
  7. Dugdale, D. (1960), "Yielding of steel sheets containing slits", J. Mech. Phys. Solids, 8(2), 100-104. https://doi.org/10.1016/0022-5096(60)90013-2
  8. Engelder, T., Lash, G.G. and Uzcategui, R.S. (2009), "Joint sets that enhance production from Middle and Upper Devonian gas shales of the Appalachian Basin", AAPG Bull., 93(7), 857-889. https://doi.org/10.1306/03230908032
  9. Ferrill, D.A., Morris, A.P. and McGinnis, R.N. (2012), "Extensional fault-propagation folding in mechanically layered rocks: The case against the frictional drag mechanism", Tectonophysics, 576, 78-85.
  10. Gross, M.R. and Engelder, T. (1995), "Crack strain in adjacent units of the Monterey Formation: Scale effects and evidence for uniform displacement boundary conditions", J. Struct. Geol., 17, 1303-1318. https://doi.org/10.1016/0191-8141(95)00011-2
  11. Guo, L., Latham, J.P. and Xiang, J. (2017), "A numerical study of fracture spacing and through-going fracture formation in layered rocks", J. Solid Strut., 110, 44-57.
  12. Jesus, A.P., Mateus, A., Munha, J.M., Tassinari, C.C.G., Santos, T.M.B. and Benoif, M. (2016), "Evidence for under plating in the genesis of the Variscan Synorogenic Beja Layered Gabbroic Sequence and related mesocratic rocks", Tectonophyics, 683, 148-171. https://doi.org/10.1016/j.tecto.2016.06.001
  13. Li, Z., Li, L., Li, M., Zhang, L., Zhang, Z., Huang, B. and Tang, C.A. (2017), "A numerical investigation on the effects of rock brittleness on the hydraulic fractures in the shale reservoir", J. Nat. Gas Sci. Eng., 50, 22-32
  14. Lyakhovsky, V., Ben-Zion, Y. and Agnon, A. (1997), "Distributed damage, faulting, and friction", J. Geophys. Res., 102(B12), 27635-27649. https://doi.org/10.1029/97JB01896
  15. Shor, O. and Vaziri, R. (2017), "Application of the local cohesive zone method to numerical simulation of composite structures under impact loading", J. Imp. Eng., 104, 127-149. https://doi.org/10.1016/j.ijimpeng.2017.01.022
  16. Tabiei, A. and Zhang, W. (2017), "Cohesive element approach for dynamic crack propagation: Artificial compliance and mesh dependency", Eng. Fract. Mech., 180, 23-42. https://doi.org/10.1016/j.engfracmech.2017.05.009
  17. Tang, C.A., Liang, Z.Z., Zhang, Y.B., Chang, X., Tao, X., Wang, D.G., Zhang, J.X., Liu, J.S., Zhu, W.C. and Elsworth, D. (2008), "Crack spacing in layered materials: A new explanation based on two-dimensional failure process modeling", Am. J. Sci., 308(1), 49-72. https://doi.org/10.2475/01.2008.02

Cited by

  1. Optimal design of shape of a working in cracked rock mass vol.24, pp.3, 2021, https://doi.org/10.12989/gae.2021.24.3.227