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Mohr space and its application to the activation prediction of pre-existing weakness

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Abstract

The activation coefficient equations in the “activation criterion of pre-existing weakness” are relatively complex and not easy to apply to specific applications. The relative activity of pre-existing weaknesses is often critical in geological analysis. The Mohr circle can be used only in two-dimensional stress analysis. By applying the “activation criterion of pre-existing weakness” and combining it with numerical analysis, we establish the correspondence between the pole (σ n, τ n) of a pre-existing weakness plane and its orientation in “Mohr space”. As a result, the normal stress (σ n) and shear stress (τ n) of a pre-existing weakness plane can be readily expressed in Mohr space. Furthermore, we introduce the method and procedures for predicting the activation and relative activation of pre-existing weaknesses in Mohr space. Finally, we apply the Mohr space method and compare the predictions to sandbox modeling results and 3D seismic data. The results show that Mohr space can be used in stress analysis to estimate the activation of a pre-existing weakness in any triaxial stress state.

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References

  • Anderson E M. 1951. The Dynamics of Faulting. 2nd ed. Edinburgh: Oliver and Boyd

    Google Scholar 

  • Arreola M A, Morandi M. 2005. Structure of the rift basins in the central Gulf of California: Kinematic implications for oblique rifting. Tectonophysics, 409:19–38

    Article  Google Scholar 

  • Boccaletti M, Bonini, M. 1998. Quaternary oblique extensional tectonics in the Ethiopian Rift (Horn of Africa). Tectonophysics, 287: 97–116

    Article  Google Scholar 

  • Brace W F. 1961. Mohr construction in the analysis of large geological strain. Geol Soc Am Bull, 71: 1059–1080

    Article  Google Scholar 

  • Byerlee J D. 1967. Frictional characteristics of granite under high confining pressure. J Geophys Res, 72: 3639–3648

    Article  Google Scholar 

  • Byerlee J D. 1978. Friction of Rocks. Pure Appl Geophys, 116: 615–626

    Article  Google Scholar 

  • Coelho S, Passchier C. 2008. Mohr-cyclides, a 3D representation of geological tensors: The examples of stress and flow. J Struct Geol, 30: 580–601

    Article  Google Scholar 

  • Crider J G. 2001. Oblique slip and the geometry of normal-fault linkage: Mechanics and a case study from the Basin and Range in Oregon. J Struct Geol, 23:1997–2009

    Article  Google Scholar 

  • Delaney P T, Pollard D D, Zioney J I, et al. 1986. Field relations between dikes and joints: Emplacement processes and paleostress analysis. J Geophys Res, 91: 4920–4938

    Article  Google Scholar 

  • Hoskins E R, Jaeger J C, Rosengren K J. 1968. A medium scale direct friction experiment. Int J Rock Mechanics, 34: 143–154

    Article  Google Scholar 

  • Jaeger J C. 1959. The frictional properties of joint in rock. Geof Pura Appl, 43: 148–158

    Article  Google Scholar 

  • Jaeger J C, Cook N G W. 1979. Fundamentals of Rock Mechanics. 3rd ed. London: Chapman and Hall. 593

    Google Scholar 

  • Jolly R J H, Sanderson D J. 1997. A Mohr circle construction for the opening of a pre-existing fracture. J Struct Geol, 19: 887–892

    Article  Google Scholar 

  • Li Z, Zhang J. 1997. Stress Field and Petroleum Exploration and Development (in Chinese). Beijing: Petroleum Industry Press. 402

    Google Scholar 

  • Mart Y, Dauteuil O. 2000, Analogue experiments of propagation of oblique rifts. Tectonophysics, 316: 121–132

    Article  Google Scholar 

  • McClay K R, White M J. 1995. Analogue modeling of orthogonal and oblique rifting. Mar Petrol Geol, 12: 137–151

    Article  Google Scholar 

  • Means W D. 1983. Application of the Mohr-circle construction to problems of inhomogeneous deformation. J Struct Geol, 5: 279–286

    Article  Google Scholar 

  • Morley C K. 2002. A tectonic model for the Tertiary evolution of strike-slip faults and rift basins in SE Asia. Tectonophysics, 347:189–215

    Article  Google Scholar 

  • Morley C K, Haranya C, Phoosongsee W S. 2004. Activation of rift oblique and rift parallel pre-existing weaknesses during extension and their effect on deformation style: Examples from the rifts of Thailand. J Struct Geol, 26: 1803–1829

    Article  Google Scholar 

  • Morley C K, Seusutthiy G K. 2007. Fault superimposition and linkage resulting from stress changes during rifting: Examples from 3D seismic data, Phitsanulok Basin, Thailand. J Struct Geol, 29: 646–663

    Article  Google Scholar 

  • Morley C K. 2007. Variations in Late Cenozoic-Recent strike-slip and oblique-extensional geometries, within Indochina: The influence of pre-existing weakness. J Struct Geol, 29: 36–58

    Article  Google Scholar 

  • Rae D. 1963. The measurement of the coefficient of friction of some rocks during continuous rubbing. J Sci Instr, 40, 269–281

    Article  Google Scholar 

  • Ramsay J G. 1967. Folding and Fracturing of Rocks. New York: McGraw-Hill

    Google Scholar 

  • Sabine A M, Colin J P, Matthijs D A, et al. 2012. Frictional properties of megathrust fault gouges at low sliding velocities: New data on effects of normal stress and temperature. J Struct Geol, 38: 156–171

    Article  Google Scholar 

  • Tong H, Lu K, Qi J. 1995. Analogue sandbox modeling of deformation in Zhangjuhe structural belt, Huanghua depression. The Tectonics of China. Beijing: Geological Publishing House. 114–118

    Google Scholar 

  • Tong H. 1998. A new origin model of complicated fault assemblage in rift basin (in Chinese with English Abstract). Proceedings of International Symposium of Geological Sciences in Peking University. Beijing: Seismological Press. 107–113

    Google Scholar 

  • Tong H. 2003. Plane sandbox modeling of Zhangjuhe complicated faulted blocks and its enlightenment (in Chinese with English Abstract). Geol Rev, 49: 305–310

    Google Scholar 

  • Tong H, Nie J, Meng L, Zhang H, et al. 2009. The law of basement pre-existing weakness controlling fault formation and evolution in rift basin (in Chinese with English Abstract). Earth Sci Front, 16: 97–104

    Google Scholar 

  • Tong H, Meng L, Cai D, et al. 2009. Fault Formation and Evolution in Rift Basins—Sandbox modeling and cognition (in Chinese with English Abstract). Acta Geol Sin, 83: 759–774

    Google Scholar 

  • Tong H M, Cai D S, Wu Y P, et al. 2010. Activity criterion of pre-existing fabrics in non-homogeneous deformation domain. Sci China Earth Sci, 53: 1115–1125

    Article  Google Scholar 

  • Tong H, Yin A. 2011. Reactivation tendency analysis: A theory for predicting the temporal evolution of preexisting weakness under uniform stress state. Tectonophysics, 503: 195–200

    Article  Google Scholar 

  • Twiss R J, Moores E M. 1992. Structural Geology. New York: W. H. Freeman and Company. 532

    Google Scholar 

  • Wan T. 1986. Paleotectonic Stress Field (in Chinese). Beijing: Geological Publishing House. 156

    Google Scholar 

  • Wang R, Ding Z, Yin Y. 1979. Fundamentals of Rock Mechanics. Beijing: Geological Publishing House. 364

    Google Scholar 

  • Withjack, M O, Jamison, W R. 1986. Deformation produced by oblique rifting. Tectonophysics, 126: 99–124

    Article  Google Scholar 

  • Zhang L, He C. 2013. Frictional properties of natural gouges from Longmenshan fault zone ruptured during the Wenchuan Mw7.9 earthquake. Tectonophysics, 594: 149–164

    Article  Google Scholar 

  • Zhou T, Zhou J, Dong Y, et al. 2009. Formation mechanism of Cenozoic fault system of Nanpu sag in Bohai Bay Basin. J Chin Univ Petrol, 33: 12–17

    Google Scholar 

  • Zhou J, and Zhou J S. 2006. Cenozoic structural deformation mechanism in Bohai Bay basin: Physical modeling and discussion. Sci China Ser D-Earth Sci, 36: 507–519

    Google Scholar 

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Authors and Affiliations

  1. State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing, 102249, China

    HengMao Tong, HaiTao Zhao, Bo Li, HuaWu Hao & MingYang Wang

  2. Department of Overseas New Ventures Assessment, Research Institute of Exploration & Development, Beijing, 100083, China

    JianJun Wang

  3. School of Geology and Geomatics, Tianjin Chengjian University, Tianjin, 300384, China

    HaiTao Zhao

Authors
  1. HengMao Tong
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  2. JianJun Wang
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  3. HaiTao Zhao
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  4. Bo Li
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  5. HuaWu Hao
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  6. MingYang Wang
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Correspondence to HengMao Tong.

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Tong, H., Wang, J., Zhao, H. et al. Mohr space and its application to the activation prediction of pre-existing weakness. Sci. China Earth Sci. 57, 1595–1604 (2014). https://doi.org/10.1007/s11430-014-4860-1

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  • DOI: https://doi.org/10.1007/s11430-014-4860-1

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