An Introduction to Surface Wave Analysis Michael E. Pasyanos - IRIS
An Introduction to Surface Wave Analysis Michael E. Pasyanos - IRIS
An Introduction to Surface Wave Analysis Michael E. Pasyanos - IRIS
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Phase Velocity Measurements<br />
Single station (event-station)<br />
• Need <strong>to</strong> know the source phase ϕ 0 ,<br />
2π indeterminacy<br />
Mechanism and depth needed <strong>to</strong> determine<br />
source phase ϕ 0 .<br />
Unwrapping the phase by working from<br />
long periods.<br />
u(x, t) = 1 π<br />
AMPLITUDE<br />
∞<br />
∫<br />
0<br />
PHASE<br />
& ω<br />
û(ω, x)× cos ωt −<br />
c(ω) x + φ (ω) )<br />
(<br />
0 + dω<br />
'<br />
*<br />
φ(ω) = φ 0<br />
(ω)− ωx 1<br />
+ 2πN + ωt<br />
c(ω)<br />
ψ 1<br />
(ω) = ωt 1<br />
+ φ o<br />
(ω)− ωx 1<br />
c(ω) + 2πN