Mathematical Model for Describing Stress Wave Propagation in a Jointed Rock Mass.
Abstract
A mathematical model that describes the effects of joints and fractures on the propagation of energy in a jointed rock mass was developed and verified with experimental evidence from seismic and nuclear tests. The model demonstrated that the average arrival time in a jointed medium is reduced from that in an unfractured rock by an amount related to the average number of joints encountered by the wave. It was also demonstrated that the mean-square fluctuations in the arrival times are directly related to the mean-square fluctuations in the joint density. Because the travel time and joint density statistics are directly related by the model developed in this study, carefully planned seismic tests can be used for exploration of the jointing. It is suggested that seismic surveys can be used to determine the competency of rock. An average time history of a propagating disturbance was calculated which includes the effects of jointing on an arbitrary pulse. A ground shock prediction formula was developed which includes the effect of joints on waves generated by contained explosions. (Modified author abstract)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1973
- Accession Number
- AD0769582
Entities
People
- James J. Drake