基于模糊理论的软岩黏弹性模型识别及参数反分析
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摘要
对岩石黏弹性模型进行总结,将复杂的黏弹性模型方程转化为统一的线性方程,基于实测数据运用回归分析法和模糊数学方法,通过对线性方程参数的反分析得到统一模型的参数,运用模糊关联度分析法对具体岩石黏弹性模型进行识别,进而根据统一模型参数可反求出黏弹性模型方程的参数。研究表明,对黏弹性本构模型采用线性化处理,用统一的线性方程表示复杂的本构方程简化模型的识别和参数的获取过程。最后利用一矿山软岩流变试验结果对其黏弹性模型进行识别和模型参数进行反分析。计算结果表明,样品Ⅰ-1,Ⅰ-2黏弹性模型服从麦钦特体,样品Ⅱ-1,Ⅱ-2黏弹性模型服从H-K体,通过计算出黏弹性模型参数,得出软岩黏弹性模型的回归方程,所得结果与实际情况比较一致。
The determination of parameters in viscoelastic constitutive equations of soft rocks is very important to analyze the time-dependent behaviors of embankments,foundations and mines in soft rocks.The complex viscoelastic model equations can be transformed into unified linear equations,and the parameters of the model can be got by back analysis method.But the general back analysis method doesn't take the randomicity and fuzziness of the parameters into account,therefore,it does not be in accordance with the fact.In the general back analysis method,the membership function is introduced.The methods of fuzzy back analysis and viscoelastic model identification with fuzzy correlation degree are proposed.The method can identify the models such as Kelvin model,H/M model,H-K model,M-K model and Mechant model,and can also get their parameters.On the basis of the creep experiments of two groups of salt rock from a mine factory,the method is used.The results show that the samples of groupⅠare Mechant bodies and the samples of groupⅡare H-K bodies.The parameters of the two models got by back analysis method coincide with the test results very well.
The determination of parameters in viscoelastic constitutive equations of soft rocks is very important to analyze the time-dependent behaviors of embankments,foundations and mines in soft rocks.The complex viscoelastic model equations can be transformed into unified linear equations,and the parameters of the model can be got by back analysis method.But the general back analysis method doesn't take the randomicity and fuzziness of the parameters into account,therefore,it does not be in accordance with the fact.In the general back analysis method,the membership function is introduced.The methods of fuzzy back analysis and viscoelastic model identification with fuzzy correlation degree are proposed.The method can identify the models such as Kelvin model,H/M model,H-K model,M-K model and Mechant model,and can also get their parameters.On the basis of the creep experiments of two groups of salt rock from a mine factory,the method is used.The results show that the samples of groupⅠare Mechant bodies and the samples of groupⅡare H-K bodies.The parameters of the two models got by back analysis method coincide with the test results very well.
引文
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[10]陈渠，西田和范，岩本健，等．沉积软岩的三轴蠕变实验研究及分析评价[J]．岩石力学与工程学报，2003，22(6)：905-912．(Chen Qu,Nishida K,Iwamoto T,et al.Creep behavior of sedimentary soft rock under triaxial compression[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(6):905-912.(in Chinese))
[11]李晓红，李登新，靳晓光，等．初期支护对软岩隧道围岩稳定性和位移影响分析[J]．岩土力学，2005，26(8)：1 207-1 210．(Li Xiaohong,Li Dengxin,Jin Xiaoguang,et al.Discussion on influence of initial support to stability and deformation of surrounding rock mass in soft rock tunnel[J].Rock and Soil Mechanics,2005,26(8):1 207-1 210.(in Chinese))
[2]何满潮．深部开采工程岩石力学现状与展望[A]．见：西部大开发中的岩石力学与工程问题，第8次全国岩石力学与工程学术大会论文集[C]．北京：科学出版社，2004．88-94．(He Manchao Present situation and forecast of rock mechanics in exploitation engineering at depth[A].In:Rock Mechanics and Engineering Problems in Large-scale Development of West China,Proceedings of the 8th Symposium on Rock Mechanics and Engineering in China[C].Beijing:Science Press,2004.88-94.(in Chinese))
[3]何满潮，景海河，孙晓明，等．软岩工程力学[M]．北京：科学出版社，2002.(He Manchao,Jing Haihe,Sun Xiaoming,et al.Engineering Mechanics of Soft Rock[M].Beijing:Science Press,2002．(in Chinese))
[4]孙晓明，何满潮，刘成禹，等．真三轴软岩非线性力学试验系统研制[J]．岩石力学与工程学报，2005，24(16)：2 870-2 874.(Sun Xiaoming.He Manchao.Liu Chengyu,et al.Development of nonlinear triaxial mechanical experiment system for soft rock specimen[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(16):2 870-2 874.(in Chinese))
[5]陈安敏，顾金才，沈俊，等．岩土工程多功能模拟试验装置的研制与应用[J]．岩石力学与工程学报，2004，23(3)：372-378．(Chen Anmin,Gu Jincai,Shen Jun,et al.Development and application of multifunctional apparatus for geotechnical engineering model tests[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(3):372-378.(in Chinese))
[6]朱浮声，薛琳，李宏，等．黏弹性围岩力学参数反分析的一种数值法[J]．岩石力学与工程学报，1997，16(10)：478-482．(Zhu Fusheng,Xue Lin,Li Hong,et al.A numerical method for parameter back analysis of viscoelastic rockmass[J].Chinese Journal of Rock Mechanics and Engineering,1997,16(10):478-482.(in Chinese))
[7]杨志法，王思敬，冯紫良，等．岩土工程反分析原理及应用[M]．北京：地震出版社，2002(Yang Zhifa,Wang Sijing,Feng Ziliang,et al.Theory and Application of Back Analysis in Geotechnical Engineering[M].Beijing:Earthquake Press,2002.(in Chinese))
[8]许宝田，阎长虹，王新建．基于经验的优势断裂灰色分级[J]．高校地质学报，2003，9(2)：302-306(Xu Baotian,Yan Changhong,Wang Xinjian.Gray classification of preferred faults based on experience[J].Geological Journal of China Universities,2003,9(2):302-306.(in Chinese))
[9]姜耀东，刘文岗，赵毅鑫．一种新型真三轴巷道模型试验台的研制[J]．岩石力学与工程学报，2004，23(21)：3 727-3 731．(Jiang Yaodong,Liu Wengang,Zhao Yixin.Design and development of a new type of triaxial system for roadway model test[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(21):3 727-3 731.(in Chinese))
[10]陈渠，西田和范，岩本健，等．沉积软岩的三轴蠕变实验研究及分析评价[J]．岩石力学与工程学报，2003，22(6)：905-912．(Chen Qu,Nishida K,Iwamoto T,et al.Creep behavior of sedimentary soft rock under triaxial compression[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(6):905-912.(in Chinese))
[11]李晓红，李登新，靳晓光，等．初期支护对软岩隧道围岩稳定性和位移影响分析[J]．岩土力学，2005，26(8)：1 207-1 210．(Li Xiaohong,Li Dengxin,Jin Xiaoguang,et al.Discussion on influence of initial support to stability and deformation of surrounding rock mass in soft rock tunnel[J].Rock and Soil Mechanics,2005,26(8):1 207-1 210.(in Chinese))
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