单一裂纹几何特征对岩石力学性质影响程度研究
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摘要
基于岩石工程的宏观破坏多是由岩石内部损伤张开、闭合、扩展和贯通引起的,以裂纹为例为探究其几何特征对岩石力学性质影响程度的大小,设计包含裂纹长度、角度、分布位置3种因素的数值模拟正交实验,通过方差分析对这3种几何特征对岩石峰值应力影响程度进行显著性检验。结果表明:岩石峰值应力随裂纹长度增加而减小,随裂纹角度增加而增大,且裂纹位置对其影响在分布上存在2个区域,在岩石边界区域峰值强度随裂纹位置靠近边界而增大,在岩石内部区域其峰值强度受裂纹位置改变的影响不显著。并通过偏eta平方量化不同几何特征对岩石物理性质影响程度的大小,得出:裂纹长度>裂纹倾角>裂纹位置。
Based on the fact that macroscopic failure of rock engineering more because damage stretching,closing,expanding and cut-through of rock interior,in order to explored influence degree of fracture geometrical feature to rock mechanical properties,number simulation orthogonal experiments that include three different factors,which were fracture length,angle and position,the influence that three geometrical features to rock peak stress value were analyzed by variance analysis.The results showed that rock peak stress decreased with fracture length increased,increased with fracture angle increased,two scopes appeared that fracture position to it's influence,rock boundary area peak stress strength increased with fracture position close to boundary,but it was indifference as in rock interior.The conclusion that length more than angle,angle more than position was put forward,after by partial eta square of influence of different geometrical features to rock mechanics.
Based on the fact that macroscopic failure of rock engineering more because damage stretching,closing,expanding and cut-through of rock interior,in order to explored influence degree of fracture geometrical feature to rock mechanical properties,number simulation orthogonal experiments that include three different factors,which were fracture length,angle and position,the influence that three geometrical features to rock peak stress value were analyzed by variance analysis.The results showed that rock peak stress decreased with fracture length increased,increased with fracture angle increased,two scopes appeared that fracture position to it's influence,rock boundary area peak stress strength increased with fracture position close to boundary,but it was indifference as in rock interior.The conclusion that length more than angle,angle more than position was put forward,after by partial eta square of influence of different geometrical features to rock mechanics.
引文
[1]周辉,孟凡震,卢景景,等.硬岩裂纹起裂强度和损伤强度取值方法探讨[J].岩土力学,2014(4):913-918.
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[8]惠鑫,马凤山,徐嘉谟,等.考虑节理裂隙尺寸与方位分布的岩石统计损伤本构模型研究[J].岩石力学与工程学报,2017(S1):3233-3238.
[9]林鹏,黄凯珠,王仁坤,等.不同角度单裂纹缺陷试样的裂纹扩展与破坏行为[J].岩石力学与工程学报,2005,24(S2):5652-5657.
[10]朱谭谭,靖洪文,苏海健,等.孔洞-裂隙组合型缺陷砂岩力学特性试验研究[J].煤炭学报,2015,40(7):1518-1525.
[11]张玲.单因素及双因素方差分析及检验的原理及统计应用[J].数学学习与研究,2010(7):92-94.
[12]邢航.多因素方差分析中数学模型的建立与检验方法[J].电大理工,2008(2):73-75.
[13]郭萍.三因素方差分析的原理及应用[J].沈阳大学学报(自然科学版),2015,27(1):40-43.
[2]周小平,杨海清,董捷.压应力状态下多裂纹扩展过程数值模拟[J].岩土工程学报,2010,32(2):192-197.
[3]Yang S Q,Jing H W,Xu T.Mechanical behavior and failure analysis of brittle sandstone specimens containing combined flaws under uniaxial compression[J].中南大学学报(英文版),2014,21(5):2059-2073.
[4]杜明瑞,靖洪文,苏海健,等.孔洞形状对砂岩强度及破坏特征的影响[J].工程力学,2016,33(7):190-196.
[5]刘丰,郑宏,夏开文.基于MLS的数值流形法模拟多裂纹扩展[J].岩石力学与工程学报,2016,35(1):76-86.
[6]任建喜,葛修润.单轴压缩岩石损伤演化细观机理及其本构模型研究[J].岩石力学与工程学报,2001,20(4):425-431.
[7]尚黎明,李廷春,陈伟,等.岩石三维内置裂隙的尺寸效应研究[J].武汉理工大学学报,2015,37(8):72-77.
[8]惠鑫,马凤山,徐嘉谟,等.考虑节理裂隙尺寸与方位分布的岩石统计损伤本构模型研究[J].岩石力学与工程学报,2017(S1):3233-3238.
[9]林鹏,黄凯珠,王仁坤,等.不同角度单裂纹缺陷试样的裂纹扩展与破坏行为[J].岩石力学与工程学报,2005,24(S2):5652-5657.
[10]朱谭谭,靖洪文,苏海健,等.孔洞-裂隙组合型缺陷砂岩力学特性试验研究[J].煤炭学报,2015,40(7):1518-1525.
[11]张玲.单因素及双因素方差分析及检验的原理及统计应用[J].数学学习与研究,2010(7):92-94.
[12]邢航.多因素方差分析中数学模型的建立与检验方法[J].电大理工,2008(2):73-75.
[13]郭萍.三因素方差分析的原理及应用[J].沈阳大学学报(自然科学版),2015,27(1):40-43.