Spherical Wave Propagation in a Poroelastic Medium with Infinite Permeability: Time Domain Solution

Abstract EN

Exact time domain solutions for displacement and porepressure are derived for waves emanating from a pressurized spherical cavity, in an infinitely permeable poroelastic medium with a permeable boundary.

Cases for blast and exponentially decaying step pulse loadings are considered; letter case, in the limit as decay constant goes to zero, also covers the step (uniform) pressure.

Solutions clearly show the propagation of the second (slow) p-wave.

Furthermore, Biot modulus Q is shown to have a pronounced influence on wave propagation characteristics in poroelastic media.

Results are compared with solutions in classical elasticity theory.