三峡库区泥质粉砂岩非线性蠕变模型辨识

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摘要针对三峡库区泥质粉砂岩非线性蠕变模型，提出一种可较好描述该类岩石蠕变特性的非线性黏弹性模型，并反演获得模型参数。基于非线性流变力学理论，在T2b2泥质粉砂岩应力–应变关系研究基础上，首先提出一种修正的Kelvin模型并建立该模型蠕变方程；将一种可用阶跃函数表示的开关元件与牛顿体并联建立修正牛顿体，然后将修正牛顿体、修正Kelvin体、Hoek体串联得到可描述岩石非线性蠕变特性的mBurgers模型。最后基于非线性最小二乘理论，结合T2b2泥质粉砂岩单轴蠕变试验结果，对mBurgers模型参数进行回归反演，将反演得到的参数代入模型进行计算，得到的理论曲线与试验曲线相比吻合较好，表明mBurgers模型能较好地描述T2b2泥质粉砂岩的单轴蠕变特性。

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关键词 ：岩石力学, 泥质粉砂岩, 蠕变模型, 黏弹性

Abstract：For study on the nonlinear creep model of T2b2 siltite in the Three Gorges reservoir area，a nonlinear viscoelasticity model that can well describe the creep property of siltite is established and the parameters are also obtained. Based on nonlinear rheological theory and stress-strain relation of T2b2 siltite，a modified Kelvin model and its creep equation are presented firstly. Through installing the swath model which can be expressed as a step function with N model in parallel，a revised N model is established. What?s more，through connecting revised N model with revised K model and H model in the form of series，an mBurgers model，which can well describe the nonlinear creep property of rock is established. According to nonlinear least squares theory and uniaxial creep test results of T2b2 siltite，the parameters of mBurgers model are obtained by inversion calculation. By substituting the parameters obtained on behalf of the inversion into the model and calculating the theoretical results，theoretical curve and test curve are well anastomotic，which indicates that mBurgers model can well describe the creep of T2b2 siltite.

Key words： rock mechanics siltite creep model viscoelasticity

收稿日期: 2010-09-29

引用本文:

黄明1，2，刘新荣2. 三峡库区泥质粉砂岩非线性蠕变模型辨识[J]. 岩石力学与工程学报, 2011, 30(S2): 3804-3810.
HUANG Ming1，2，LIU Xinrong2. RESEARCH ON NONLINEAR CREEP MODEL IDENTIFICATION OF SILTITE IN THREE GORGES RESERVOIR AREA. , 2011, 30(S2): 3804-3810.

链接本文:

http://www.rockmech.org/CN/Y2011/V30/IS2/3804

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