Surface waves - Stony Brook University

Surface waves - Stony Brook University

Free oscillation modes Spheroidal mode (analogous to the P, SV

and Rayleigh waves). Motions are parallel

to the radial direction. Sensitive to gravity,

or density. nSl Toroidal mode (analogous to SH or Love

waves). nTl

Spheroidal mode (example)

S

0 0

Spheroidal mode (example)

S

0 2

Toroidal mode (example)

T2

0

Phase velocity and Group velocity

Phase Velocity: Velocity of a wave peak or

trough of a harmonic component. Group Velocity:

packet

Velocity of the energy

Phase velocity

Medium parameters

(scale lengths of layering, intrinsic P and/or S velocities, rigidity, etc.).

Geometric fit of a particular harmonic

component into the associated boundary

conditions.

Group velocity

Medium parameters through their influence

on the phase velocity. Variation of phase velocity with frequency,

which controls the interference between

different harmonics.

Time

Wavepackets

Phases

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