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弹性纵波在不同非线性法向变形行为节理处的传播

Transmission of elastic P-wave across single fracture with different nonlinear normal deformation behaviors

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【作者】 俞缙关云飞肖琳张迪

【Author】 YU Jin1,GUAN Yun-fei1,XIAO Lin2,ZHANG Di3 (1.Geotechnical Engineering Department,Nanjing Hydraulic Research Institute,Nanjing 210024,China;2.Department of Earth Sciences,Nanjing University,Nanjing 210093,China;3.Jiangsu Engineering Consulting Center,Nanjing 210003,China)

【机构】 南京水利科学研究院岩土工程研究所南京大学地球科学系江苏省工程咨询中心 江苏南京210024江苏南京210024江苏南京210093江苏南京210003

【摘要】 对正向入射弹性纵波穿越具有不同非线性法向变形本构关系的单一岩石干性节理的特性进行理论研究。在没有剪切波的条件下,探讨了BB双曲线模型和经典指数模型两种不同的节理非线性法向变形行为对弹性纵波传播的影响。依据这两类节理本构关系,建立了不同的非线性位移不连续模式,分别获得了弹性纵波穿越单一节理时的反射、透射系数的解析解及数值差分解。针对节理初始法向刚度(kni)、节理闭合量(dn)与最大允许闭合量(dma)比值(γ)以及入射波频率(f)等参数进行研究,同时将2种模型的计算结果进行比较,得到的结论具有一定理论意义。

【Abstract】 A theoretical study was presented on the normally incident elastic P-wave transmission across single dry fracture with different nonlinear normal deformation behaviors.Without the mixture of shear behavior,the BB hyperbolic elastic model and classical exponential elastic model was used to investigate the effects of nonlinear normal deformation on P-wave normal incidence.Based on these nonlinear models,the different nonlinear displacement discontinuity models were established.The analytic resolution and numerical difference resolution of reflected and transmitted coefficients for normally incident P-wave propagates across single fracture with different nonlinear normal deformation behaviors were obtained.Parametric studies were conducted in terms of fracture initial normal stiffness(kni),the quantitative ratio(γ) of the fracture current maximum closure(dn) to the fracture maximum allowable closure(dma) and the incident wave frequency(f).Comparisons between the results of different nonlinear behaviors were made,reading very important the conclusions.

【基金】 南京水利科学研究院博士研究生基金资助项目(YY30602)
  • 【文献出处】 解放军理工大学学报(自然科学版) ,Journal of PLA University of Science and Technology(Natural Science Edition) , 编辑部邮箱 ,2007年06期
  • 【分类号】TU452
  • 【被引频次】17
  • 【下载频次】201
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