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The Damage Constitutive Model of Shale Rock Based on Weibull Distribution and Its Verification

摘要


With the increase of shale rock gas demand, the mining depth increases gradually and various safety accidents occur. Therefore, it is of great significance to study the constitutive behavior of shale rock under different confining pressures. Based on the existing constitutive model of rock, Weibull distribution function and confining pressure damage variable are introduced in this paper, combined with strain equivalence principle and Drucker‐Prager criterion, the damage constitutive model of shale rock under different confining pressures is established and parameter expression in damage constitutive model is determined. In the verification stage, the triaxial compression test results of shale rock under different confining pressures ( 10, 20, 30, 40, 50 and 60 MPa ) in the reference were carried out, and the results showed that: The theoretical curves of the damage constitutive model of shale rock under different confining pressures have the same trend as the test curves in the reference, indicating that the damage constitutive model constructed in this paper can better reflect the stress‐strain process of shale rock under triaxial compression. In the test process, if the stress decreases, the damage constitutive model cannot accurately reflect the stage of stress rising again. The damage constitutive model established in this paper can well fit the stress‐strain curves of elastic and plastic stages of shale rock under different confining pressures. The damage constitutive model constructed in this paper has certain reference value for deep shale rock excavation.

參考文獻


C.B. Li, H.P. Xie and J. Wang: Anisotropic characteristics of crack initiation and crack damage thresholds for shale. International Journal of Rock Mechanics and Mining Sciences, vol. 126 (2020), p. 104178.
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J.J. Hu, C. Gao, H.P. Xie, et al. Anisotropic characteristics of the energy index during the shale failure process under triaxial compression. Journal of Natural Gas Science and Engineering, vol. 95 (2021), p. 104219.
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W. Weibull: A statistical distribution function of wide applicability, Journal of Applied Mechanics, vol. 18 (1950), No. 3, p. 293–297.

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