Evaluation of equivalent medium methods for stress wave propagation in jointed rock mass
Evaluation of equivalent medium methods for stress wave propagation in jointed rock mass
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DOI：
10.1002/nag.1118
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发表时间：
2013-05
影响因子：
4
通讯作者：
G. Ma;L. Fan;J. C. Li
中科院分区：
文献类型：
--
作者：
G. Ma;L. Fan;J. C. Li
本文对现有节理岩体等效介质方法进行了评价，并对作者提出的等效粘弹性介质方法进行了进一步的发展。讨论了不同等效方法对不连续岩体的优点和局限性。采用傅里叶变换方法对应力波在等效粘弹性介质中的传播进行了理论推导，并解析确定了等效粘弹性介质法的参数。当考虑岩体复模量的虚项时，可以很好地描述频率依赖性和波衰减现象。结果表明，与传统的有效弹性模量法相比，等效粘弹性介质法能够更准确地预测岩体内的有效速度和应力波透射系数。应力波在具有平行节理的岩体中的传播实例表明，等效粘弹性介质法在实际岩石工程问题中的应用是有前途的，值得进一步探索。版权所有©2011 John Wiley & Sons， Ltd
This paper evaluates the existing equivalent medium methods for jointed rock mass and further develops the equivalent viscoelastic medium method proposed by the authors. The advantages and limitations of different equivalences to the discontinuous rock mass are discussed. Theoretical derivation of stress wave propagation through the equivalent viscoelastic medium is carried out by adopting the Fourier transformation method, and the parameters of the equivalent viscoelastic medium method are determined analytically. The frequency dependence and the wave attenuation phenomenon can be properly described when the imaginary terms of the complex moduli of the rock mass are included. The results show that the equivalent viscoelastic medium method is able to predict the effective velocity and the stress wave transmission coefficient in a rock mass more accurately than the conventional effective elastic moduli methods. An example of the stress wave propagation through rock mass with parallel joints shows that the equivalent viscoelastic medium method is promising and worthy to be further explored for application in practical rock engineering problems. Copyright © 2011 John Wiley & Sons, Ltd.