岩体动力失稳终止点、能量释放量解析解与图解
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摘要
以精确和近似突变模型方式,按Ⅱ体的步调,给出了岩体系统动力失稳弹性能释放量的解析解和图解;将地震、岩爆前后阶段岩体系统稳定性的定性认识提高到定量描述;严格确定了岩体系统弹性能瞬间释放终止点位置,为计算地震效率、研究释放的地震能量级、地震应力降、震后断层错距和围岩弹性应变恢复量提供了科学依据。系统失稳时具备对外界做功的本领,地震波能便是失稳的岩体系统以破坏性方式对环境做功。给出的弹性能释放量图解中蕴涵了丰富的信息量,为确定岩体动力失稳问题的数学模型是折迭突变模型给出有力佐证。
Analytic soulution and illustration of elastic energy releasing amount of rock dynamic destabilization is given for the first time by the step of Ⅱ body in the form of precise and approximate catastrophe model.It is advanced from qualitative understand to quantitative description that study on rock stability on the stage before and after the period of earthquake and rockburst.The end of rock dynamic destabilization is confirmed strictly,and scientific basis is offered for the calculation on earthquake efficiency,for the study on earthquake energy scale released,earthquake stress fall,fault offset after earthquake and recovery amount of surrounding rock elastic strain.The system will possess ability to apply work to surroundings when it destabilizes,and earthquake wave energy is the matter that destabilizing rock system applies work to surroundings in the devastating way.Information implicated in illustration of elastic energy releasing in paper,produces credible evidence for confirming that the mathematical model of rock dynamic destabilization is fold catastrophe model.
Analytic soulution and illustration of elastic energy releasing amount of rock dynamic destabilization is given for the first time by the step of Ⅱ body in the form of precise and approximate catastrophe model.It is advanced from qualitative understand to quantitative description that study on rock stability on the stage before and after the period of earthquake and rockburst.The end of rock dynamic destabilization is confirmed strictly,and scientific basis is offered for the calculation on earthquake efficiency,for the study on earthquake energy scale released,earthquake stress fall,fault offset after earthquake and recovery amount of surrounding rock elastic strain.The system will possess ability to apply work to surroundings when it destabilizes,and earthquake wave energy is the matter that destabilizing rock system applies work to surroundings in the devastating way.Information implicated in illustration of elastic energy releasing in paper,produces credible evidence for confirming that the mathematical model of rock dynamic destabilization is fold catastrophe model.
引文
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[3]潘岳.岩石破裂过程的折迭突变模型[J].岩土工程学报,1999,21(3):299-303.PAN Yue.Fold catastrophe model of damaging in rock[J].Chinese Journal of Geotechnical Engineering,1998,21(3):299-303.
[4]潘岳,刘英,顾善发.矿井断层冲击地压的折迭突变模型[J].岩石力学与工程学报,2001,20(1):43-48.PAN Yue,LIU Ying,GU Shan-fa.Fold catastrophe model of mining fault rockburst[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(1):43-48.
[5]潘岳,王志强.狭窄煤柱岩爆的折迭突变模型[J].岩土力学,2004,25(1):23-30.PAN yue,WANG Zhi-qiang.Fold catastrophe model of rockburst in narrow coal pillar[J].Rock and Soil Mechanics,2004,25(1):23-30.
[6]潘岳,王志强.圆形硐室岩爆的折迭突变模型[J].岩土力学,2005,26(2):175-181.PAN yue,WANG Zhi-qiang.Fold catastrophe model of circular tunnel rockburst[J].Rock and Soil Mechanics,2005,26(2):175-181.
[7]凌复华.突变理论——历史、现状和展望[J].力学进展,1984,14(4):289-403.LING Fu-hua.History,present and advances of the catastrophe theory[J].Advances in Mechanics,1984,14(4):289-403.
[8]般有泉,张宏.断层带内介质的软化特性和地震的非稳定非稳定模型[J].地震学报,1984,6(2):135-145.YIN You-quan,ZHANG Hong.The softening behavior of fault zone medium and an instability model of earthquakes[J].ACTA Eismologica Sinica,1984,6(2):135-145.
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