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Knowledge of wave propagation across rock joints is necessary for understanding distinctions between wave attenuation and lithology. Whenever a propagating seismic wave strikes a rock joint at an angle not normal to the joint, wave transformation occurs. The rock joints existing in the field are not oriented in the condition for normal incidence of the wave; hence, wave transformations are very common. In this paper, transformations of P and Sv waves have been modeled numerically with the help of a distinct element method. Validation of the numerical model has been carried out by comparing the wave velocities obtained from bender/extender elements. The dependence of the transformation of obliquely striking waves on the frequency of incident waves and stiffness of the joint has been studied. The velocities of propagating waves and the ratios of stress amplitudes of propagating waves with respect to the incident wave have been obtained and compared for all the possible angles of incidence. The wave velocities and amplitudes of propagating stress waves are found to be dependent on the angle of incidence of the waves at the rock joint. It was observed that the transformed waves that are of the same type as the incident wave contain more energy. [ABSTRACT FROM AUTHOR]

A simple practical equivalent continuum numerical model for simulating the behavior of jointed rock mass has been extended to three-dimensional using FLAC3D. This model estimates the properties of jointed rock mass from the properties of intact rock and a joint factor (Jf), which is the integration of the properties of joints to take care of the effects of frequency, orientation, and strength of joint. A new FISH function has been written in FLAC3D specifically for modeling jointed rocks using the Duncan and Chang hyperbolic model. This model has been validated first with simple element tests at different confining pressures for different rocks with different joint configurations. Explicit modeling of the joints has also been done in element tests and results obtained compare well with the results of equivalent continuum model and also with experimental results. Further, this has been applied for a case study of a large underground power house cavern in the Himalayas. The analysis has been done under various stages of excavation, assigning a null model available in FLAC3D for simulating the excavation. [ABSTRACT FROM AUTHOR]