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Damage constitutive model and variables of cracked rock in a hydro-chemical environment

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Abstract

The mass of underground rock was continuously influenced by the physical, mechanical, and chemical effects of seepage flow. The interaction of water and rock is now a research subject at the forefront in geotechnical engineering in fields as diverse as nuclear waste disposal, dam foundation construction, tunnelling, slope dynamics, and mineral resource utilization. The multiple coupling processes and mechanisms within the stress, seepage, and chemical domains of the rock mass in a hydro-chemical environment are analyzed. Based on fracture and general damage mechanics, a constitutive model using variables of the cracked rock under uniaxial compression and chemical solution erosion was established, and the rock damage represented by the porosity resulting from the hydro-physicochemical interaction is deduced. When compared with the results of uniaxial compression tests and porosity measurements of granite specimens treated with acidic chemical solutions, the constitutive model is seen to be in good agreement with stress-strain curves of granite under uniaxial compression and thus appropriate for describing the progressive rock damage that occurs under chemical erosion. The damage may be represented as the hydro-physicochemical damage level of the rock. Then, based on the damage constitutive model and expression pattern, a numerical simulation that takes into consideration the hydro-chemical damage effect shows that the variation in seepage in the deep mining of the Sanshandao Gold Mine is continuously expanding and exerts a great influence on the stability of the rock mass.

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References

  • Alejano LR, Bobet A (2012) Drucker–Prager criterion. Rock Mech Rock Eng 45(6):995–999.

  • Brady BHG, Brown ET (2006) Rock mechanics: for underground mining (3rd edn). Springer, Dordrecht

  • Cai MF, He MC, Liu DY (2013) Rock mechanics and engineering (2rd edn) (in Chinese). Science Press, Beijing

  • Chen MX, Hou FL (1993) Damage model for rock and explanation of rock burst mechanism (in Chinese). J Wuhan Univ Hydraul Electric Eng 26(2):154–159

    Google Scholar 

  • Chen XH, Hicks MA (2011) A constitutive model based on modified mixture theory for unsaturated rocks. Comput Geotech 38(8):925–933.

  • Chen XH, Pao W, Thornton S, Small J (2016) Unsaturated hydro-mechanical-chemical constitutive coupled model based on mixture coupling theory: hydration swelling and chemical osmosis. Int J Eng Sci 104:97–109.

  • Domenico SN (1974) Effect of water saturation on seismic reflectivity of sand reservoirs encased in shale. Geophysics 39(6):759–769.

  • Dragon A, Mróz Z (1979) A continuum model for plastic brittle behavior of rock and concrete. Int J Eng Sci 17(2):121–137.

  • Feng XQ, YU SW (2002) Microscopic damage mechanics of quasi-brittle material (in Chinese). Higher Education Press, Beijing, pp 95–102

    Google Scholar 

  • Feng XT, Ding WX (2007) Experimental study of limestone micro-fracturing under a coupled stress, fluid flow and changing chemical environment. Int J Rock Mech Min Sci 44(3):437–448.

  • Flaih A, Elsalloukh H, Mendi E, Milanova M (2012) The exponentiated inverted Weibull distribution. Appl Math Inform Sci 6(2):167–171

    Google Scholar 

  • Ghassemi A, Diek A (2003) Linear chemo-poroelasticity for swelling shales: theory and application. J Petrol Sci Eng 38(3–4):199–212.

  • Grasley ZC, Rajagopal KR (2012) Revisiting total, matric, and osmotic suction in partially saturated geomaterials. Z Angew Math Phys 63(2):373–394.

  • Guéguen Y, Boutéca M (2004) Mechanics of fluid-saturated rocks. Elsevier Academic Press, Burlington

    Google Scholar 

  • Hamdi E, Romdhane NB, Cléac’ HJML (2011) A tensile damage model for rocks: application to blast induced damage assessment. Comput Geotech 38(2):133–141.

  • Heidug WK, Wong S (1996) Hydration swelling of water-absorbing rocks: a constitutive model. Int J Numer Anal Met 20(6):403–430.

  • Homand-Etienne F, Hoxha D, Shao JF (1998) A continuum damage constitutive law for brittle rocks. Comput Geotech 22(2):135–151.

  • Huang C, Subhash G, Vitton SJ (2002) A dynamic damage growth model for uniaxial compressive response of rock aggregates. Mech Mater 34(5):267–277.

  • Ji D (2014) Experimental analysis and application research on granite damage under the action of acidic chemical solutions (in Chinese). Dissertation, University of Science and Technology Beijing, Beijing

  • Kawamoto T, Ichikawa Y, Kyoya T (1988) Deformation and fracturing behavior of discontinuous rock mass and damage mechanics theory. Int J of Numer Anal Met 12(1):1–30.

  • Kolo I, Al-Rub RKA, Sousa RL (2016) Computational modelling of fracture propagation in rocks using a coupled elastic-plasticity-damage model. Math Probl Eng 2016(15):1–15.

  • Krajcinovic D, Fonseka GU (1981) The continuous damage theory of brittle materials, part 1: general theory. J Appl Mech 48(4):809–815.

    Article  Google Scholar 

  • Lang, Philipp (2016) Multi-scale modelling of coupled thermo-hydro-mechanical-chemical processes in fractured rocks. Dissertation, Imperial College London

  • Lasaga AC (1984) Chemical kinetics of water-rock interactions. Geophys Res 89(6):4009–4025.

  • Lemaitre J (1984) How to use damage mechanics. Nucl Eng Des 80(2):233–245.

  • Lemaitre J, Desmorat R (2005) Engineering damage mechanics: ductile, creep, fatigue and brittle failures. Springer, London

    Google Scholar 

  • Ma J, Zhao G, Khalili N (2014) Modeling brittle rock material by using a coupled elasto-plastic damage mode. ISRM International Symposium-8th Asian Rock Mechanics Symposium, Sapporo, Japan

  • Miao SJ, Cai MF, Guo QF, Huang ZJ (2016) Rock burst prediction based on in-situ stress and energy accumulation theory. Int J Rock Mech Min Sci 83:86–94.

  • Noorishad J, Tsang CF, Witherspoon PA (1992) Theoretical and field studies of coupled hydromechanical behaviour of fractured rocks-1. Development and verification of a numerical simulator. Int J Rock Mech Min 29(4):401–409.

  • Paliwal B, Ramesh KT (2008) An interacting micro-crack damage model for failure of brittle materials under compression. J Mech Phys Solids 56(3):896–923.

  • Shojaei A, Taleghani AD, Li G (2014) A continuum damage failure model for hydraulic fracturing of porous rocks. Int J Plasticity 59(8):199–212.

  • Stephansson O, Hudson JA, Jing L (2004) Coupled thermo-hydro-mechanical processes in geo-systems: fundamentals, modelling, experiments, and applications. Elsevier, Amsterdam, pp 15(3):283–302

    Google Scholar 

  • Tang LS, Wang SJ (2002) Analysis on mechanism and quantitative methods of chemical damage in water-rock interaction (in Chinese). Chinese J Rock Mech Eng 21(3), 314–319

  • Taron J, Elsworth D (2010) Coupled mechanical and chemical processes in engineered geothermal reservoirs with dynamic permeability. Int J Rock Mech Min Sci 47(8):1339–1348.

  • Unteregger D, Fuchs B, Hofstetter G (2015) A damage plasticity model for different types of intact rock. Int J Rock Mech Min 80:402–411.

  • Xie N, Zhu QZ, Xu LH et al (2011) A micromechanics-based elastoplastic damage model for quasi-brittle rocks. Comput Geotech 38(8):970–977.

  • Zhou CB, Chen YF, Jiang QH, Lu WB (2008) On generalized multi-field coupling for fractured rock masses and its applications to rock engineering (in Chinese). Chinese J Rock Mech Eng 27 (7):1329–1340

  • Zhou CY, Zhu FX (2010) An elasto-plastic damage constitutive model with double yield surfaces for saturated soft rock. Int J Rock Mech Min 47(3):385–395.

  • Zhou JW, Xu WY, Yang XG (2010) A microcrack damage model for brittle rocks under uniaxial compression. Mech Res Commun 37(4):399–405.

  • Zhu QZ, Hu DW Zhou H et al (2008) Research on homogenization-based mesomechanical damage model and its application (in Chinese). Chinese J Rock Mech Rock Eng 27(2):266–272

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Funding

This research is financially supported by the National Key Basic Research Program of China (973 Program) (No. 2015CB060200) and National Natural Science Foundation of China (No. 51574014 and No. 51534002).

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Correspondence to Shengjun Miao.

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Miao, S., Wang, H., Cai, M. et al. Damage constitutive model and variables of cracked rock in a hydro-chemical environment. Arab J Geosci 11, 19 (2018). https://doi.org/10.1007/s12517-017-3373-6

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  • DOI: https://doi.org/10.1007/s12517-017-3373-6

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