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Some Nonlinear Rock Behavior Effects

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Abstract

The nonlinear rock behavior effects observed in loading diagrams are analyzed which are usually ignored in conventional models of elastoplastic media. The initial deformation stage and unloading of rock samples are considered. The nonlinear behavior on these loading stages is interpreted from the viewpoint of partial closure of cracks initiated during deformation beyond the elastic limit or in earlier loading history. Phenomenological relations are derived to account for the discussed nonlinear effects in numerical modeling. The postcritical deformation stage corresponding to the stage of strain localization and main crack formation is studied. Corrections are made to provide a more accurate determination of model parameters.

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References

  1. Jaeger, J. C., Cook, N.G.W., and Zimmerman, R.W., Fundamentals of Rock Mechanics, Wiley-Blackwell Publ., 2007.

    Google Scholar 

  2. Stavrogin, A.N. and Tarasov, B.G., Experimental Phys ics and Rocks Mechanics: Results of Laboratory Studies, Lisse, Abingdon: A.A. Balkema, 2001.

    Google Scholar 

  3. Fairhurst, C., Laboratory Measurement of Some Physical Properties of Rock, in Mining Engineering Series, Rock Mechanics, Proc. 4th Symp. Rock Mech., Univ. Park, Pennsylvania, 1961, pp. 105–118.

    Google Scholar 

  4. Karev, V.I., Klimov, D.M., Kovalenko, Yu.F., and Ustinov, K.B., Fracture of Sedimentary Rocks under a Complex Triaxial Stress State, Mech. Solid., 2016, vol. 51, no. 5, pp. 526–552.

    Article  ADS  Google Scholar 

  5. Zoback, M.D. and Byerlee, J.D., The Effect of Cyclic Differential Stress on Dilatancy in Westerly Granite under Uniaxial and Triaxial Conditions, J. Geophys. Res., 1975, vol. 80(11), pp. 1526–1530.

    Article  ADS  Google Scholar 

  6. Zoback, M.D. and Byerlee, J.D., The Effect of Microcrack Dilatancy on the Permeability of Westerly Granite, J. Geophys. Res., 1975, vol. 80(5), pp. 752–755.

    Article  ADS  Google Scholar 

  7. Makarov, P.V. and Eremin, M.O., Fracture Model of Brittle and Quasibrittle Materials and Geomedia, Phys. Mesomech., 2013, vol. 16, no. 3, pp. 207–226.

    Article  Google Scholar 

  8. Panin, V.E., Egorushkin, V.E., Panin, A.V., and Chernyavskii, A.G., Plastic Distortion as a Fundamental Mechanism in Nonlinear Mesomechanics of Plastic Deformation and Fracture, Phys. Mesomech., 2016, vol. 19, no. 3, pp. 255–268.

    Article  Google Scholar 

  9. Lehner, F.K. and Kachanov, M., On the Stress-Strain Relation for Cracked Elastic Materials in Compression, in Mechanics of Jointed and Faulted Rock, Rossmanith, H.P., Ed., Rotterdam: Vienna University of Technology, 1995, pp. 49–62.

    Google Scholar 

  10. Kachanov, M., On the Effective Elastic Properties of Cracked Solids——Editor’s Comments, Int. J. Fract. (Lett. Fract. Micromech.), 2007, vol. 146, pp. 295–299. doi 10.1007/s10704-007-9170-6

    Article  Google Scholar 

  11. Nemat-Nasser, S. and Obata, M., A Microcrack Model of Dilatancy in Brittle Materials, Trans. ASME, 1988, vol. 55, pp. 24–36.

    Article  Google Scholar 

  12. Brace, W.F., Paulding, B.W., Jr., and Scholz, C., Dilatancy in the Fracture of Crystalline Rocks, J. Geophys. Res., 1966, vol. 71, pp. 3939–3953.

    Article  ADS  Google Scholar 

  13. Nikolaevskii, V.N., Governing Equations of Plastic Deformation of a Granular Medium, J. Appl. Math. Mech., 1971, vol. 35, no. 6, pp. 1017–1029.

    Article  MathSciNet  Google Scholar 

  14. Nikolaevskii, V.N., Proceedings, Geomechanics. Vol.1. Fracture and Dilatancy,Oil and Gas, Moscow-Izhevsk: SRC Regular and Chaotic Dynamics, Institute of Computer Research, 2010.

    Google Scholar 

  15. Kapustyanskii, S.M. and Nikolaevskii, V.N., Quantitative Formulation of the Elastic-Plastic Dilatancy Model, Mekh. Tv. Tela, 1984, no. 4, pp. 113–123.

    Google Scholar 

  16. Kapustyanskii, S.M., Nikolaevskii, V.N., and Zhilenkov, A.G., Nonholonomic Model of Deformation of a Highly Porous Sandstone under its Internal Crushing, Izv. Phys. Sol. Earth, 2010, vol. 46, no. 12, pp. 1095–1104.

    Article  Google Scholar 

  17. Zamyshlyaev, B.V. and Yevterev, L.S., Models of Dynamic Deformation and Fracture of Soil Grounds, Moscow: Nauka, 1990.

    Google Scholar 

  18. Stefanov, Yu.P., Chertov, M.A., Aidagulov, G.R., and Myasnikov, A.V., Dynamics of Inelastic Deformation of Porous Rocks and Formation of Localized Compaction Zones Studied by Numerical Modeling, J. Mech. Phys. Solid., 2011, vol. 59, pp. 2323–2340.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  19. Stefanov, Yu.P., Dilatancy and Compaction Modes in the Shear Zone, AIP Conf. Proc., 2014, vol. 1623, pp. 611–614.

    Article  Google Scholar 

  20. Stefanov, Yu.P., Localization of Deformation and Fracture in Geomaterials. Numerical Simulation, Phys. Mesomech., 2002, vol. 5, no. 5–6, pp. 67–77.

    Google Scholar 

  21. Stefanov, Yu.P. and Bakeev, R.A., Formation of Flower Structures in a Geological Layer at a Strike-Slip Displacement in the Basement, Izv. Phys. Sol. Earth, 2015, vol. 51, no. 4, pp. 535–547.

    Article  Google Scholar 

  22. Ambartsumyan, S.A., Multimodulus Elasticity Theory, Moscow: Nauka, 1982.

    Google Scholar 

  23. Lomakin, E.V. and Rabotnov, Yu.N., Relations of the Theory of Elasticity for an Isotropic Multimodulus Material, Izv. ANSSSR. MTT, 1978, no. 6, pp. 29–34.

    Google Scholar 

  24. Myasnikov, V.P. and Oleinikov, A.I., Fundamentals of the Mechanics of Heterogeneously Resistant Media, Vladivostok: Dal’nauka, 2007.

    Google Scholar 

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Authors and Affiliations

  1. Trofimuk Institute of Petroleum Geology and Geophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    Yu. P. Stefanov

  2. Institute of Strength Physics and Materials Science, Siberian Branch, Russian Academy of Sciences, Tomsk, 634055, Russia

    Yu. P. Stefanov

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  1. Yu. P. Stefanov
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Correspondence to Yu. P. Stefanov.

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Original Russian Text © Yu.P. Stefanov, 2016, published in Fizicheskaya Mezomekhanika, 2016, Vol. 19, No. 6, pp. 54–61.

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Stefanov, Y.P. Some Nonlinear Rock Behavior Effects. Phys Mesomech 21, 234–241 (2018). https://doi.org/10.1134/S1029959918030074

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