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Explore the differences in wave speed and slowness in P and S waves due to horizontal boundaries. Discover why the horizontal slowness remains the same while the vertical slowness varies.
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Use x,y,z for ease of intuition. Let’s consider plane waves propagating in the x-z plane.
Why is the horizontal slowness (p) the same for P and S waves, but the vertical slowness different? Because we have horizontal boundaries!
There has to be a continuity of motion along the boundary (e.g., the P waves leaving the boundary have to have the same frequency as the S waves arriving at the boundary).