Theoretical Investigation into the Wave Propagation in Rock with Single Fracture
Theoretical investigation on incident elastic P-wave transmission across rock fracture is presented by using an optimization method. It’s assumed that the rock fracture is of nonlinear constitutive model for normal deformation, and the hyperbolic elastic model (BB model) is introduced to descript this nonlinear property. Based on the theory of momentum conservation and discontinues condition, wave propagation equation for P-wave transmission across nonlinear fracture is obtained. Parameter studies, including initial normal stiffness, the ratio of given closure to maximum allowable closure and frequency, are carried out and graphically presented.
Ahmad Kamal Ariffin, Shahrum Abdullah, Aidy Ali, Andanastuti Muchtar, Mariyam Jameelah Ghazali and Zainuddin Sajuri
L. Song et al., "Theoretical Investigation into the Wave Propagation in Rock with Single Fracture", Key Engineering Materials, Vols. 462-463, pp. 1134-1139, 2011