Analysis of Seismic Waves Propagating through an In Situ Stressed Rock Mass Using a Nonlinear Model
Publication: International Journal of Geomechanics
Volume 20, Issue 3
Abstract
In situ stress is a significant characteristic of underground rock masses. This work extended the time-domain recursive method (TDRM) to study oblique wave attenuation across an in situ stressed joint wherein the normal and shear deformation behaviors were both treated nonlinearly. Employing the Barton–Bandis (B-B) and hyperbolic nonlinear (HN) slip models, equations were established for wave propagation across a rock mass under a combination of gravitational and tectonic stress. Then, the stress and displacement in the normal and shear directions were calculated under different in situ stresses for P- and S-wave incidence. The waveforms of the HN slip model and the Coulomb slip model were compared to investigate the differences therein and verify the wave propagation equation. Parametric studies were conducted to elucidate the influences of in situ stress, lateral pressure coefficient, angle of incidence, and amplitude of the incident wave. The results showed that the HN model depends on the stress history and shear stiffness degradation. The effect of the in situ stress on wave propagation depends not only on the gravitational and tectonic stresses but also on the direction of the particle vibration of the incident wave.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request, including the original data for Figs. 3–11.
Acknowledgments
The research was financially supported by the National Natural Science Foundation of China (Grant Nos. 51609183 and 51774222); the Natural Science Foundation of Hubei Province, China (Grant No. 2017CFB508); the Open Research Fund of the State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences (Nos. Z015005 and Z018009); and the project supported by the Hubei Key Laboratory of Roadway Bridge and Structure Engineering (Wuhan University of Technology) (DQJJ201710).
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Published In
International Journal of Geomechanics
Volume 20 • Issue 3 • March 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: Apr 4, 2019
Accepted: Sep 3, 2019
Published online: Jan 2, 2020
Published in print: Mar 1, 2020
Discussion open until: Jun 2, 2020
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