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应力波在节理岩体中的传播特性探析

Theoretical analysis on propagation characteristic of stress waves in jointed rock

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【作者】 宋林邵珠山吴敏哲

【Author】 SONG Lin,SHAO Zhu-shan,WU Min-zhe(School of Civil Engineering,Xi’an University of Architecture and Technology,Xi’an 710055,China)

【机构】 西安建筑科技大学土木工程学院

【摘要】 考虑岩石节理非线性法向特征,时域范围内理论分析了应力波在两个平行节理岩体中的传播规律。通过建立波在节理岩体中传播的数值差分模型,时域范围内推导并获得了纵波P波和横波S波垂直入射节理岩体的动力传播方程。可以同时考虑节理的非线性特征和节理间多次透反射的影响,并可求得任意时刻透射波和反射波的数值解。进一步通过参数研究分析了不同因素对应力波传播规律的影响规律,包括节理初始法向刚度、节理非线性系数、入射波频率和节理间间距等。研究表明:由于节理非线性因素以及节理间多次透反射的影响,波在多个岩体节理中的透射系数并非是波在单个节理中透射系数的简单叠乘。

【Abstract】 Considering the nonlinear constitutive model for normal deformation of rock fracture,theoretical investigation on propagation of oblique incident stress wave was presented based on a full time-domain algorithm in jointed rock mass containing two fractures.Analytic model was established,and then the wave propagation equations of oblique incident stress wave were deduced in jointed rock mass containing two fractures.The wave propagation equations deduced from the suggested method have the virtue of convenience to consider the different angle of incident wave,the wave transformation,the nonlinear behavior of the fracture,multiple wave reflections and transmissions;meanwhile,the transmitted wave and reflected wave can be obtained conveniently at any time.Finally,based on the result of transmission coefficient,parametric studies are carried out to analyze the wave propagation characteristic deeply,including initial stiffness,nonlinear coefficient,frequency of incident wave,incident angle and fracture spacing between two fractures.The results indicate that the transmission coefficient can’t be simply obtained from the results by the single fracture.

【基金】 国家自然科学基金资助项目(10772143);陕西省自然科学基础研究资助项目(2009JQ7004);西安建筑科技大学基金资助项目(RC0826)
  • 【文献出处】 煤炭学报 ,Journal of China Coal Society , 编辑部邮箱 ,2011年S2期
  • 【分类号】TU452
  • 【被引频次】16
  • 【下载频次】619
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