Navier's equations of motion in seismic have 3 solutions, according to how it is resolved (boundary conditions):
- for Vp (compression waves)
- for Vs (shear waves)
- for Vr (Rayleigh waves)
I know the boundary conditions for Vr, that is the half-space (null stress at the surface and null displacements and stress at infinite depth).
What would be the boundary conditions for Vp and Vs solutions and why do they derivate for infinite medium and not half-space? What does an infinite medium imply?