Campbell and Bozorgnia (2000)

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2.175 Campbell and Bozorgnia (2000)

Ground-motion model is:
$lnY = c + c M + c(8.5- M )2 + c ln({R2 + [(c + c {S + S } + c S ) 1 2 w 3 w 2 2 41∕2 s 5 6 PS SR 7 HR exp (c8Mw + c9{8.5- Mw } )] } ) + c10FSS + c11FRV + c12FT H + c13SHS + c14SPS + c15SSR + c16SHR$
where Y is in g, for horizontal uncorrected PGA c₁ = -2.896, c₂ = 0.812, c₃ = 0, c₄ = -1.318, c₅ = 0.187, c₆ = -0.029, c₇ = -0.064, c₈ = 0.616, c₉ = 0, c₁₀ = 0, c₁₁ = 0.179, c₁₂ = 0.307, c₁₃ = 0, c₁₄ = -0.062, c₁₅ = -0.195, c₁₆ = -0.320 and σ = 0.509, for horizontal corrected PGA c₁ = -4.033, c₂ = 0.812, c₃ = 0.036, c₄ = -1.061, c₅ = 0.041, c₆ = -0.005, c₇ = -0.018, c₈ = 0.766, c₉ = 0.034, c₁₀ = 0, c₁₁ = 0.343, c₁₂ = 0.351, c₁₃ = 0, c₁₄ = -0.123, c₁₅ = -0.138, c₁₆ = -0.289 and σ = 0.465, for vertical uncorrected PGA c₁ = -2.807, c₂ = 0.756, c₃ = 0, c₄ = -1.391, c₅ = 0.191, c₆ = 0.044, c₇ = -0.014, c₈ = 0.544, c₉ = 0, c₁₀ = 0, c₁₁ = 0.091, c₁₂ = 0.223, c₁₃ = 0, c₁₄ = -0.096, c₁₅ = -0.212, c₁₆ = -0.199 and σ = 0.548 and for vertical corrected PGA c₁ = -3.108, c₂ = 0.756, c₃ = 0, c₄ = -1.287, c₅ = 0.142, c₆ = 0.046, c₇ = -0.040, c₈ = 0.587, c₉ = 0, c₁₀ = 0, c₁₁ = 0.253, c₁₂ = 0.173, c₁₃ = 0, c₁₄ = -0.135, c₁₅ = -0.138, c₁₆ = -0.256 and σ = 0.520.
Use four site categories:
HS
Holocene soil: soil deposits of Holocene age (11,000 years or less), generally described on geological maps as recent alluvium, approximate average shear-wave velocity in top 30m is 290m∕s ⇒ S_HS = 1,S_PS = 0,S_SR = 0,S_HR = 0.
PS
Pleistocene soil: soil deposits of Pleistocene age (11,000 to 1.5 million years) , generally described on geological maps as older alluvium or terrace deposits, approximate average shear-wave velocity in top 30m is 370m∕s ⇒ S_PS = 1,S_HS = 0,S_SR = 0,S_HR = 0.
SR
Soft rock: primarily includes sedimentary rock deposits of Tertiary age (1.5 to 100 million years), approximate average shear-wave velocity in top 30m is 420m∕s ⇒ S_SR = 1,S_HS = 0,S_PS = 0,S_HR = 0.
HR
Hard rock: primarily includes older sedimentary rock deposits, metamorphic rock and crystalline rock, approximate average shear-wave velocity in top 30m is 800m∕s ⇒ S_HR = 1,S_HS = 0,S_PS = 0,S_SR = 0.
Earthquakes from shallow crustal active tectonic regions.
Most earthquakes with 6 ≤ M_w ≤ 7.
Use three source mechanism categories:
SS
Strike-slip: primarily vertical or near-vertical faults with predominantly lateral slip (includes only normal faulting earthquake in set), ⇒ F_SS = 1,F_RV = 0,F_TH = 0.
RV
Reverse: steeply dipping faults with either reverse or reverse-oblique slip, ⇒ F_RV = 1,F_SS = 0,F_TH = 0.
TH
Thrust: shallow dipping faults with predominantly thrust slip including blind-thrust shocks, ⇒ F_TH = 1,F_SS = 0,F_RV = 0.
Consider all records to be free-field. Records from ground level in instrument shelter or a building <3 storeys high (<7 if located on hard rock). Include records from dam abutments to increase number of rock records. Exclude data from basements of buildings of any size or at toe or base of dams.
Exclude data from R_s > 60km to avoid complicating problems related to arrival of multiple reflections from lower crust. Distance range is believed to include most ground shaking amplitudes of engineering interest, except for possibly long period spectral accelerations on extremely poor soil.
Equations for uncorrected (Phase 1 standard level of processing) and corrected (Phase 2 standard level of processing).
Find sediment depth (depth to basement rock) has significant effect on amplitude of ground motion and should be taken into account; it will be included once its mathematical form is better understood.

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