岩石蠕变模型的比较和修正
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摘要
对三种岩石在不同的应力下进行了蠕变实验,对蠕变实验曲线用粘弹模型进行了模型参数的反演,结果认为标准线性体、伯格斯和对数模型都是实验曲线的很好近似。为了进一步了解蠕变实验时间对模型参数的影响,研究了蠕变模型的预测功能。将实验蠕变曲线分成二部分,第一部分用于模型参数的反演,第二部分用于模型预测数据的检验。时间外延所得的模型的预测曲线都明显偏离了实测曲线,伯格斯和对数模型的预测曲线比实测曲线偏高,而标准线性体模型则偏低。根据不同时间的蠕变实验数据的比较和分析,认为实验时间对蠕变模型参数的反演有较为明显的影响,但只要对标准线性体模型作适当修正,引入与时间尺度有关的函数C(t),则该模型的预测能力就有较大的提高。
Creep experiment was processed for three kinds of rock samples under different constant stress. Model parameters were obtained by inversed creep curves with creep models, and it was found that the standard linear model, logarithmic function and Burgers model could almost perfectly fit any given creep data. In order to understand the effect of experimental time on the model parameters, the prediction capability of different models was studied. Whole experimental creep curves were divided into two parts, the first part was used to inverse the model parameters, while the second part was only used to check the prediction data produced by models. The prediction creep curves based on above-mentioned three models deviated from the experimental creep curves. The prediction creep curves of logarithmic function and Burgers model were greater, while the standard linear model was smaller than the experimental creep curve. According to the comparison and analysis of creep experimental data with different time, it was found that the experimental time had obviously effect on model parameters. As long as modifying the standard linear model and introducing a function related with time C(t), the prediction capability of standard linear model will be greatly improved.
Creep experiment was processed for three kinds of rock samples under different constant stress. Model parameters were obtained by inversed creep curves with creep models, and it was found that the standard linear model, logarithmic function and Burgers model could almost perfectly fit any given creep data. In order to understand the effect of experimental time on the model parameters, the prediction capability of different models was studied. Whole experimental creep curves were divided into two parts, the first part was used to inverse the model parameters, while the second part was only used to check the prediction data produced by models. The prediction creep curves based on above-mentioned three models deviated from the experimental creep curves. The prediction creep curves of logarithmic function and Burgers model were greater, while the standard linear model was smaller than the experimental creep curve. According to the comparison and analysis of creep experimental data with different time, it was found that the experimental time had obviously effect on model parameters. As long as modifying the standard linear model and introducing a function related with time C(t), the prediction capability of standard linear model will be greatly improved.
引文
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[2]Shin K.Variationin strength and creep life of six Japanese rocks[J].International journal of Rock Mechanics and Mining Sciences,2005,42:251-260.
[3]Li Yongsheng,Xia Caichu.Ti me-dependent tests onintact rocks in uniaxial compression[J].International journal of Rock Mechanics and Mining Sciences,2000,37:467-475.
[4]沈振中,徐志英.三峡大坝地基花岗岩蠕变实验研究[J].河海大学学报,1997,25(2):1-7(Shen Zhenzhong,Xu Zhiying.Creep test of granite for the Three Gorges Damfoundation.Journal of Hohai University,1997,25(2):1-7(in Chinese))
[5]李云鹏,王芝银,丁秀丽.流变荷载试验曲线的模型识别及其应用[J].石油大学学报(自然科学版),2005,29(2):73-77(Li Yunpeng,Wang Zhiyin,Ding Xiuli.Model identification for rheological load test curve and its application.Journal of the University of Petroleum China(Natural Science),2005,29(2):73-77(in Chinese))
[6]陈颙,黄庭芳.岩石物理学[M].北京:北京大学出版社,2001(Chen Yong,Huang Tingfang.Petrophysics.Beijing:Peking University Press,2001(in Chinese))
[7]Jorg Renner.Dislocation creep of calcite[J].Journal of Gophysical Rsearch,2002,107(B12):2364.
[8]孙钧.岩石流变力学及其工程应用研究的若干进展[J].岩石力学与工程学报,2007,26(6):1081-1106(SUNJun.Rock rheological mechanics and its advance in engineering applications.Chinese Journal of Rock Mechanics and Engineering,2007,26(6):1081-1106(in Chinese))
[9]施行觉,温丹,包雪阳,等.岩石蠕变实验在地球介质粘弹性参数计算中的应用[J].中国科学(D辑),2006,36(3):219-224(Shi Xingjue,Wen Dan,Bao Xueyang,et al.Application of rock creep experi ment in calculating the viscoelastic parameters of earth medium.Science in China(Series D),2006,36(3):219-224(in Chinese))
[10]徐志英.岩石力学[M].第三版.北京:水利电力出版社,1993(Xu Zhiying.Rock mechanics.Third edition.Beijing:Water Conservancy and Electric Power Press,1993(in Chinese))
[11]尹祥础.固体力学[M].北京:地震出版社,1985(Yin Xiangchu.Solid mechanics.Beijing:Earthquake Press,1985(in Chinese))
[12]邓荣贵,周德培,张倬元,等.一种新的岩石流变模型[J].岩石力学与工程学报,2001,20(6):780-784(DengRonggui,Zhou Depei,Zhang Zhuoyuan,et al.Anewrheological model for rocks.Chinese Journal of Rock Mechanics and Engineering,2001,20(6):780-784(in Chinese))
[13]王庆良,巩守文,张希,等.由1990年共和7.0级地震震后垂直形变求得的地球介质有效弛豫时间和黏滞系数[J].地震学报,1997,19(5):480-486(Wang Qingliang,Gong Shouwen,Zhang Xi,et al.Effective relaxation ti me and viscosity of the earth inferred from the post-seismic vertical deformation of the1990Ms=7.0Gonghe earthquake.Acta Seismological Sinica,1997,19(5):480-486(in Chinese))
[14]Scheidegger A E.王仁,黄杰藩等译校.地球动力学原理[M].北京:地震出版社,1986(Scheidegger A E.Translated by Wang Ren,Huang Jiefan,et al.Geodynamics.Beijing:Earthquake Press,1986(in Chinese))
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