Perino, A.
Zhu, J. B.
Li, J. C.
Barla, G.
Zhao, J.
Theoretical Methods for Wave Propagation across Jointed Rock Masses
Rock Mechanics and Rock Engineering
Rock Mechanics and Rock Engineering
Rock Mechanics and Rock Engineering
Rock Mechanics and Rock Engineering
43
6
Wave propagation
Rock joints
Displacement discontinuity method
Equivalent medium model
Multiple Parallel Fractures
Deformational Behavior
Elastic-Waves
Transmission
Attenuation
Stress
2010
2010
Different methods are presently available for the analysis of wave propagation across jointed rock masses with the consideration of multiple wave reflections between joints. These methods can be divided into two categories. One is based on the displacement discontinuity model for representing rock joints, where the displacements across a joint are discontinuous and the tractions are continuous, and the other is the equivalent medium method. For the first category, there are three methods, i.e., method of characteristics (MC), scattering matrix method (SMM) and virtual wave source method (VWS). MC solves the equation of motion by using the theory of characteristic curves. SMM is based on the definition of the scattering matrix in which the reflection and transmission coefficients of a set of joints are stored. VWS method replaces the joints in the rock mass with a virtual concept. For the second category, equivalent medium model treats the problem in the frame of continuum mechanics and simplifies it from an explicit wave propagation equation. The objective of this paper is to review and compare these theoretical methods. The comparison shows that the four solutions agree very well with each other. Some additional considerations about the advantages and disadvantages of these methods are also given in the paper.
Springer Verlag
0723-2632
Rock Mechanics and Rock Engineering
Journal Articles
10.1007/s00603-010-0114-5