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Attenuation Models for High-F Simulations. Thomas H. Jordan and Xin Song May 2 nd , 2013. Q Models Used in SCEC Simulations. z = 1 km. z = 1 km. z = 1 km. z = 1 km. Hauksson & Shearer (2006) velocity model (bottom-left) is more similar to CVM-S (top-right) than CVM-H (top-left).

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attenuation models for high f simulations

Attenuation Models for High-F Simulations

Thomas H. Jordan and Xin Song

May 2nd, 2013

Song & Jordan

slide3
z = 1 km

z = 1 km

z = 1 km

z = 1 km

Hauksson & Shearer (2006) velocity model (bottom-left) is more similar to CVM-S (top-right) than CVM-H (top-left)

Song & Jordan

slide4
z = 10 km

z = 10 km

z = 10 km

Hauksson & Shearer (2006) velocity model (bottom-left) is more similar to CVM-S (top-right) than CVM-H (top-left)

Song & Jordan

slide8
Qs ≈ Qpat 1km depth

Qp

Qs

Song & Jordan

slide9
Qs > Qpat 10km depth

Qp

Qs

Song & Jordan

slide11
ShakeMap Database

QS ~ f1

QS ~ f1/2

QS ~ f0

Attenuation shows strong frequency dependence: QS~ fγwhere γ > 0.5

Song & Jordan

slide12
ShakeMap Database

QS ~ f1

QS ~ f1/2

QS ~ f0

Attenuation shows strong frequency dependence: QS~ fγwhere γ > 0.5

Song & Jordan

slide13
ShakeMap Database

QS ~ f1

QS ~ f1/2

QS ~ f0

Attenuation shows strong frequency dependence: QS~ fγwhere γ > 0.5

Song & Jordan

slide15
When corrected to low frequencies using QS ~ f2/3, H & S is in close agreement with QS = 50 VSat depth, but not near the surface (z < 5 km).

Song & Jordan

slide16
QS = 50 VS

Horizontal averages over CyberShake region

Song & Jordan

conclusions
Conclusions
  • Hauksson & Shearer (2006) velocity modelis more similar to CVM-S than CVM-H over CyberShake region.
  • Qs is NOT linearly related to Vs
  • Qs≥ Qp
  • H & S shows lower average VS and VP at shallow depths than either CVM-S or CVM-H.
  • Attenuation shows strong frequency dependence: QS ~ fγwhere γ > 0.5.
  • When corrected to low frequencies using QS ~ f2/3, H & S is in close agreement with QS = 50 VS at depth, but not near the surface (z < 5 km).

Song & Jordan

recommended q model
Recommended Q Model
  • Use depth-dependent QS-VSrelationships given in following tables
  • Use QS ~ fγwhere γ = 0.7.
  • Use Qp = 1.9 Qs0.9.

Song & Jordan

slide19
A(z) from H&S CyberShake Averages

(assumes f0 = 4 Hz)

Song & Jordan

slide20
A(z) from H&S CyberShake Averages

(corrected to f = 0.5 Hz assuming QS ~ f0.7)

Song & Jordan

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