新Hoek-Brown准则在考虑渗流影响下的深埋隧洞工程应用中的参数敏感性讨论
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摘要
Hoek-Brown屈服准则是估计完整岩石或节理岩石剪切强度的半经验准则,参数多且其各参数的选取具有一定的不确定性,本文基于新Hoek-Brown屈服准则针对其各参数对深埋隧洞围岩力学特性的敏感性进行深入研究,对考虑渗流影响下深埋隧洞基本方程进行数学推导,并利用4阶Runge-Kutta法求解非线性常微分方程,给出了考虑渗流影响的塑性区的应力解和位移解。通过数值计算对比分析,认为地质强度指标GSI对隧洞围岩特性影响最为显著,而岩石扰动系数D、岩石的软硬程度常数m_i和岩石单轴抗压强度σ_(ci)影响依次减弱;而渗透力f_r对围岩特性的影响敏感度均小于新Hoek-Brown屈服准则的4个基本参数,即敏感度关系依次为GSI>D>σ_(ci)>m_i>f。
Hoek-Brown yield criterion is the assessment of rock or jointed rock mass shear strength parameters and its multi selecting parameters have some uncertainty, this paper based on the new Hoek-Brown yield criterion, rock mechanical properties of deep buried tunnel were researched on considering the seepage under the deep tunnel mathematical derivation of the basic equations, the plastic stress solutions and displacement were given by 4-order Runge-Kutta method for solving nonlinear ordinary differential equation. By comparing numerical analysis, geological strength index GSI is the most significant impact on the characteristics of the surrounding rock tunnel, and rock disturbance coefficient D, the hardness of the constants m_i and uniaxial compressive strength σ_(ci) of rock in turn weakened the impact, and the sensitivity of the relationship between the order of GSI >D > σ_(ci)> m_(i )> f_r.
Hoek-Brown yield criterion is the assessment of rock or jointed rock mass shear strength parameters and its multi selecting parameters have some uncertainty, this paper based on the new Hoek-Brown yield criterion, rock mechanical properties of deep buried tunnel were researched on considering the seepage under the deep tunnel mathematical derivation of the basic equations, the plastic stress solutions and displacement were given by 4-order Runge-Kutta method for solving nonlinear ordinary differential equation. By comparing numerical analysis, geological strength index GSI is the most significant impact on the characteristics of the surrounding rock tunnel, and rock disturbance coefficient D, the hardness of the constants m_i and uniaxial compressive strength σ_(ci) of rock in turn weakened the impact, and the sensitivity of the relationship between the order of GSI >D > σ_(ci)> m_(i )> f_r.
引文
[1] 徐志英.岩石力学[M].北京:中国水利水电出版社,1993.
[2] 黄高峰,李宗利等. Hoek-Brown准则参数在边坡工程中的敏感性分析 [J].岩土力学,2009,30(7):2163-2166.
[3] 荣传新,程桦.地下水渗流对巷道围岩稳定性影响的理论解[J].岩石力学与工程学报,2004,23(5):741-744.
[4] 李宗利,任青文,王亚红.考虑渗流场影响深埋圆形隧洞的弹塑性解[J].岩石力学与工程学报,2004,23(8):1291-1295.
[5] 黄阜, 杨小礼.考虑渗透力和原始Hoek-Brown屈服准则时圆形洞室的解析解[J].岩土力学,2010,31(5):1627-1632.
[6] 范文,俞茂宏,陈立伟等.考虑剪胀及软化的洞室围岩弹塑性分析的统一解[J].岩石力学与工程学报,2004,23(19):3 213-3 220.
[7] WANG Y. Ground response of circular tunnel in poorly consolidated rock[J]. Journal of geotechnical and geoenvironmental engineering, ASCE,1996,122(9):703-708.
[8] 徐芝纶.弹性力学[M].北京:人民教育出版社,1982.
[9] 于学馥,郑颖人.地下工程围岩稳定分析[M].北京:煤炭工业出版社,1983.
[10] 蔡晓鸿,蔡勇平.水工压力隧洞结构应力计算[M].北京:中国水利水电出版社,2004.
[2] 黄高峰,李宗利等. Hoek-Brown准则参数在边坡工程中的敏感性分析 [J].岩土力学,2009,30(7):2163-2166.
[3] 荣传新,程桦.地下水渗流对巷道围岩稳定性影响的理论解[J].岩石力学与工程学报,2004,23(5):741-744.
[4] 李宗利,任青文,王亚红.考虑渗流场影响深埋圆形隧洞的弹塑性解[J].岩石力学与工程学报,2004,23(8):1291-1295.
[5] 黄阜, 杨小礼.考虑渗透力和原始Hoek-Brown屈服准则时圆形洞室的解析解[J].岩土力学,2010,31(5):1627-1632.
[6] 范文,俞茂宏,陈立伟等.考虑剪胀及软化的洞室围岩弹塑性分析的统一解[J].岩石力学与工程学报,2004,23(19):3 213-3 220.
[7] WANG Y. Ground response of circular tunnel in poorly consolidated rock[J]. Journal of geotechnical and geoenvironmental engineering, ASCE,1996,122(9):703-708.
[8] 徐芝纶.弹性力学[M].北京:人民教育出版社,1982.
[9] 于学馥,郑颖人.地下工程围岩稳定分析[M].北京:煤炭工业出版社,1983.
[10] 蔡晓鸿,蔡勇平.水工压力隧洞结构应力计算[M].北京:中国水利水电出版社,2004.