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Geomechanics and Engineering Volume 8, Number 3, March 2015 , pages 377-390 DOI: https://doi.org/10.12989/gae.2015.8.3.377 |
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The influence of initial stress on wave propagation and dynamic elastic coefficients |
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Xibing Li and Ming Tao
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| Abstract | ||
| The governing equations of wave propagation in one dimension of elastic continuum materials are investigated by taking the influence of the initial stress into account. After a short review of the theory of elastic wave propagation in a rock mass with an initial stress, results indicate that the initial stress differentially influences P-wave and S-wave propagation. For example, when the initial stress is homogeneous, for the P-wave, the initial stress only affects the magnitude of the elastic coefficients, but for the S-wave, the initial stress not only influences the elastic coefficients but also changes the governing equation of wave propagation. In addition, the P-wave and S-wave velocities were measured for granite samples at a low initial stress state; the results indicate that the seismic velocities increase with the initial stress. The analysis of the previous data of seismic velocities and elastic coefficients in rocks under ultra-high hydrostatic initial stress are also investigated. | ||
| Key Words | ||
| stress wave; governing equations; initial stress; seismic velocities; elastic coefficients | ||
| Address | ||
| (1) School of Resources and Safety Engineering, Central South University, Changsha, Hunan, PR, China. (2) Hunan Key Laboratory of Resources Exploitation and Hazard Control for Deep Metal Mines, Changsha, China. | ||