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Identifying Accurate Crack Initiation and Propagation Thresholds in Siliceous Siltstone and Limestone

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Abbreviations

σ cc :

Crack closure stress

σ ci :

Crack initiation stress

σ cd :

Crack damage stress

σ f :

Peak strength

\(\varepsilon_{\text{v}}\) :

Volumetric strain

\(\varepsilon_{\text{ve}}\) :

Elastic volumetric strain

\(\varepsilon_{\text{vc}}\) :

Crack volumetric strain

ΔV :

Change of specimen volume

ΔV elastic :

Change of elastic volume

\(\varepsilon_{\text{axial}}\) :

Axial strain

\(\varepsilon_{\text{lateral}}\) :

Lateral strain

E :

Elastic modulus

ν :

Poisson’s ratio

P wave:

Pressure wave

\(\sigma_{1}\) :

Maximum loading stress

\(\sigma_{3}\) :

Minimum loading stress

AE:

Acoustic emission

CVS:

Crack volumetric strain method

LSR:

Lateral strain response method

MPR:

Moving point regression method

References

  • Brace WF, Paulding BW, Scholz CH (1966) Dilatancy in the fracture of crystalline rocks. J Geophys Res 71:3939–3953

    Article  Google Scholar 

  • Cheng H, Zhou X, Zhu J, Qian Q (2016) The effects of crack openings on crack initiation, propagation and coalescence behavior in rock-like materials under uniaxial compression. Rock Mech Rock Eng 49:3481–3494

    Article  Google Scholar 

  • Dai F, Wei MD, Xu NW, Zhao T, Xu Y (2015) Numerical investigation of the progressive fracture mechanisms of four ISRM-suggested specimens for determining the mode I fracture toughness of rocks. Comput Geotech 69:424–441

    Article  Google Scholar 

  • Eberhardt E, Stead D, Stimpson B, Read RS (1998) Identifying crack initiation and propagation thresholds in brittle rock. Can Geotech J 35:222–233

    Article  Google Scholar 

  • Eberhardt E, Stead D, Stimpson B (1999) Quantifying progressive pre-peak brittle fracture damage in rock during uniaxial compression. Int J Rock Mech Min Sci 36:361–380

    Article  Google Scholar 

  • Hallbauer DK, Wagner H, Cook NGW (1973) Some observations concerning the microscopic and mechanical behaviour of quartzite specimens in stiff, triaxial compression tests. J Rock Mech Min Sci Geomech Abstr 10:713–726

    Article  Google Scholar 

  • Hoek E, Bieniawski ZT (1965) Brittle fracture propagation in rock under compression. Intl J Fract Mech 1:137–155

    Article  Google Scholar 

  • Lajtai EZ (1974) Brittle fracture in compression. Int J Fract 10:525–536

    Article  Google Scholar 

  • Liu QS, Wei L, Lei GF, Liu Q, Peng XX (2018) Experimental study on damage strength of crack initiation and evaluation of brittle parameters of sandstone. Chin J Geotech Eng 40:1782–1789

    Google Scholar 

  • Martin CD, Chandler NA (1994) The progressive fracture of Lac du Bonnet granite. J Rock Mech Min Sci Geomech Abstr 31:643–659

    Article  Google Scholar 

  • Nicksiar M, Martin CD (2012) Evaluation of methods for determining crack initiation in compression tests on low-porosity rocks. Rock Mech Rock Eng 45:607–617

    Article  Google Scholar 

  • Scholz CH (1968) Experimental study of the fracturing process in brittle rock. J Geophys Res 73:1447–1454

    Article  Google Scholar 

  • Tapponnier P, Brace WF (1976) Development of stress-induced microcracks in Westerly granite. Int J Rock Mech Min Sci Geomech Abstr 13:103–112

    Article  Google Scholar 

  • Wawersik WR, Brace WF (1971) Post-failure behavior of a granite and diabase. Rock Mech Rock Eng 3:61–85

    Article  Google Scholar 

  • Yang SQ (2016) Experimental study on deformation, peak strength and crack damage behavior of hollow sandstone under conventional triaxial compression. Eng Geol 213:11–24

    Article  Google Scholar 

  • Yang SQ, Hu B (2019) Creep and long-term permeability of a red sandstone subjected to cyclic loading after thermal treatments. Rock Mech Rock Eng 52:297

    Article  Google Scholar 

  • Yang SQ, Huang YH, Ranjith PG (2018) Failure mechanical and acoustic behavior of brine saturated-sandstone containing two pre-existing flaws under different confining pressures. Eng Fract Mech 193:108–121

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Zhang Q, Zhang XP (2017) A numerical study on cracking processes in limestone by the b-value analysis of acoustic emissions. Comput Geotech 92:1–10

    Article  Google Scholar 

  • Zhang XP, Wong LNY, Wang SJ, Han GY (2011) Engineering properties of quartz mica schist. Eng Geol 121:135–149

    Article  Google Scholar 

  • Zhang XP, Zhang Q, Wu SC (2017) Acoustic emission characteristics of the rock-like material containing a single flaw under different compressive loading rates. Comput Geotech 83:83–97

    Article  Google Scholar 

  • Zhao X, Wang J, Ma LK, Su R, Cai M, Wang G (2012) Acoustic emission behaviors of the Beishan granite under uniaxial and triaxial compression conditions. In: The ISRM commission on design methodology. rock characterisation, modelling and engineering design methods-proceedings of the 3rd ISRM sinorock symposium. https://doi.org/10.1201/b14917-12

  • Zhou XP, Cheng H, Feng YF (2014) An experimental study of crack coalescence behaviour in rock-like materials containing multiple flaws under uniaxial compression. Rock Mech Rock Eng 47:1961–1986

    Article  Google Scholar 

  • Zhou XP, Bi J, Qian QH (2015) Numerical simulation of crack growth and coalescence in rock-like materials containing multiple pre-existing flaws. Rock Mech Rock Eng 48:1097–1114

    Article  Google Scholar 

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Acknowledgements

The support provided by the National Natural Science Foundation of China (Grant nos. 51978541, 41941018, 51839009) is gratefully acknowledged. Many thanks are given to Mr. Chongyang Liu for assisting with the uniaxial compression tests.

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Authors and Affiliations

  1. Key Laboratory of Safety for Geotechnical and Structural Engineering of Hubei Province, School of Civil Engineering, Wuhan University, Wuhan, 430072, China

    Xiao-Ping Zhang, Gen-Gen Lv, Quan-Sheng Liu, Qi Zhang, Pei-Qi Ji & Xu-Hai Tang

  2. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, 430072, Hubei, China

    Xiao-Ping Zhang, Gen-Gen Lv, Quan-Sheng Liu, Qi Zhang, Pei-Qi Ji & Xu-Hai Tang

  3. Faculty of Land Resources Engineering, Kunming University of Science and Technology, Kunming, Yunnan, 650093, China

    Shun-Chuan Wu

  4. School of Civil and Resource Engineering, University of Science and Technology Beijing, Beijing, 100083, China

    Shun-Chuan Wu

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  1. Xiao-Ping Zhang
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Zhang, XP., Lv, GG., Liu, QS. et al. Identifying Accurate Crack Initiation and Propagation Thresholds in Siliceous Siltstone and Limestone. Rock Mech Rock Eng 54, 973–980 (2021). https://doi.org/10.1007/s00603-020-02277-y

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