Analyse des donn馥s acc駘駻om騁riques de K-net et Kik - Tel

Analyse des données accélérométriques de K-net et
Kik-net : implications pour la prédiction du mouvement
sismique - accélérogrammes et spectres de réponse - et
la prise en compte des effets de site non-linéaire.
Guillaume Pousse
To cite this version:
Guillaume Pousse. Analyse des données accélérométriques de K-net et Kik-net : implications
pour la prédiction du mouvement sismique - accélérogrammes et spectres de réponse - et la prise
en compte des effets de site non-linéaire.. Géophysique [physics.geo-ph]. Université JosephFourier - Grenoble I, 2005. Français. <tel-00068748>
HAL Id: tel-00068748
https://tel.archives-ouvertes.fr/tel-00068748
Submitted on 13 May 2006
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Accélération (
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Vitesse (
-1
)
Déplacement (
0.017
0.002
0.00
0.000
0.000
PGA = 0.451
-0.50
0.0
-2
.
20.0
Temps ( )
-0.017
0.0
40.0
Intensité d’Arias
)
-2
95% maximum
5% maximum
Amplitude (
Amplitude (
.
)
-3
.
phase forte
2
Durée de
0.00
0.0
20.0
Temps ( )
Spectre de Fourier (
.
20.0
Temps ( )
-1
40.0
-0.002
0.0
40.0
.
-1
40.0
10-2
PSA(10 - 2 ) = 0.450
10-2
)
.
-2
10-1
100
Période ( )
Spectre de Fourier (
10 1
)
Spectre de Fourier (
10-3
Déplacement
Vitesse
10-2
10-4
10-5
10-6
100
Fréquence (
20.0
Temps ( )
10-1
10-3
10 -1
PGD = 0.0014
100
10-3
10-1
10-4
PGV = 0.01453
)
Accélération Spectrale
0.13
Accélération
.
0.50
101
)
10-7
10-1
100
Fréquence (
10 1
)
. )
10-2
10-3
10-4
10-5
10-6
10-7
10-8
10-9
10-1
10 0
Fréquence (
101
)
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0.0
0.0
soil A
-10.0
-20.0
-30.0
-200.0
0.0
0.0
soil B
-10.0
-20.0
-100.0
-30.0
-200.0
0.0
0.0
-10.0
soil C
depth (m)
-100.0
-20.0
-100.0
-30.0
-200.0
0.0
0.0
soil D
-10.0
-20.0
-100.0
-30.0
-200.0
0.0
0.0
soil E
-10.0
-20.0
K-net
-30.0
0.0
1000.0
(
/ )
-100.0
Kik-net
0.0
1000.0
(
/ )
-200.0
0.0
at Depth
1000.0
(
2000.0
3000.0
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PGA K-net
prediction Kik-net
prediction K-net
101
(
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101
100
100
10-1
10-1
10-2
scenario
101
= 4.1
102
scenario
101
= 5.9
102
10-2
101
100
100
10-1
10-1
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101
10-2
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101
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102
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101
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102
10-2
101
100
100
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10-1
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101
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101
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102
(
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102
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σ(1)=0.4038
σ(4)=0.3299
1
1
0
0
0
0
−1
−1
−1
−1
2
1
10
10
2
1
10
10
1
1
1
0
0
0
0
−1
−1
−1
−1
1
10
2
1
10
10
2
1
1
10
10
2
1
10
10
1
1
1
0
0
0
0
−1
−1
−1
−1
1
10
2
1
10
10
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10
2
1
10
10
1
1
1
0
0
0
0
−1
−1
−1
−1
1
10
2
1
10
10
2
10
2
1
10
10
1
1
1
0
0
0
0
−1
−1
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1
10
2
10
1
10
2
10
2
10
1
1
10
2
10
1
1
10
2
10
soil B
1
10
soil C
2
10
soil D
1
1
soil A
1
10
residual
σ(0.2)=0.3235
2
10
1
1
10
2
10
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σ(10−2)=0.2677
1
10
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distance (km) distance (km) distance (km) distance (km)
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! l σ(1)=0.4038
σ(4)=0.3299
1
1
0
0
0
0
−1
−1
−1
−1
4
6
8
4
1
6
8
1
0
0
0
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−1
−1
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−1
4
6
8
4
6
8
4
6
8
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6
8
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6
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8
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6
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4
1
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1
1
residual
σ(0.2)=0.3235
6
Mw
8
soil E
σ(10−2)=0.2677
4
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5
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354 H5A567FEG656
354 H5AK57FEG656
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354 H5D;57FEG656
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354 B@D5=7FEG656
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354 65H5=7FEG656
354 65H567FEG656
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354 6565H7FEG656
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896:3
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896:3
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*1
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8CB<4 =B<3>7FE'656
.*/
2
89H:4 ;5K5B57FEG656 8CH:4 H5?5A7FE'656 H:4 ;@HB57
8C6:3
89H:4 ;@D5D7FEG656 8CH:4 H5=5D7FE'656 H:4 ;@H:3>7
8C6:3
89H:4 ;@D:3>7FEG656 8CH:4 H5=567FE'656 H:4 ;@H567
8C6:3
89H:4 ;5;5K57FEG656 8CH:4 HK@D7FE'656 H:4 ;5B@?7
8C6:3
89H:4 ;5;@A7FEG656 8CH:4 HK<3>7FE'656 H:4 ;5B@?7
8C6:3
89H:4 ;5;5B57FEG656 8CH:4 H5D5=7FE'656 H:4 ;5B@?7
8C6:3
89H:4 ;5;<3>7FEG656 8CH:4 H5D5D7FE'656 H:4 ;5B@?7
8C6:3
89H:4 ;5;@H7FEG656 8CH:4 H5DK57FE'656 H:4 ;5B@=7
8C6:3
89H:4 ;5;@D7FEG656 8CH:4 HK<3>7FE'656 H:4 ;5B5K57
8C6:3
89H:4 ;@D:3>7FEG656 8CH:4 HK5K57FE'656 H:4 ;5B5;57
8C6:3
89H:4 ;5K<3>7FEG656 8CH:4 H5=K57FE'656 H:4 ;5B@H7
8C6:3
89H:4 ;@=5H7FEG656 8CH:4 A56:3>7FE'656 H:4 ;5B5B57
8C6:3
89H:4 ;@?5=7FEG656 8CH:4 A:3>K57FE'656 H:4 ;5B5B57
8C6:3
89H:4 D:3JA7FEG656 8CH:4 A5H;57FE'656 H:4 ;5B@D7
8C6:3
89H:4 D5H5A7FEG656 8CH:4 A;5K57FE'656 H:4 ;@HB57
8C6:3
89H:4 D;5;57FEG656 8CH:4 A5=B57FE'656 H:4 ;@A5D7
8C6:3
89H:4 DK@D7FEG656 8CH:4 ;@65A7FE'656 H:4 ;@D;57
8C6:3
89H:4 D5?;57FEG656 8CH:4 ;5B5;57FE'656 H:4 ;@?:3>7
8C6:3
89H:4 K<3JH7FEG656 8CH:4 ;@AK57FE'656 H:4 DB5B57
8C6:3
89H:4 K5B5K57FEG656 8CH:4 ;@D567FE'656 H:4 D;@A7
8C6:3
89H:4 K@H:3>7FEG656 8CH:4 ;@DB57FE'656 H:4 D5=K57
8C6:3
89H:4 K5B@D7FEG656 8CH:4 ;5;@H7FE'656 H:4 K5B5B57
8C6:3
89H:4 K<3>B57FEG656 8CH:4 ;@H5A7FE'656 H:4 K@D5D7
8C6:3
89H:4 D5?5A7FEG656 8CH:4 ;@65?7FE'656 H:4 =56:3>7
8C6:3
89H:4 DK@=7FEG656 8CH:4 A5=B57FE'656 H:4 =B@=7
8C6:3
89H:4 D5D5A7FEG656 8CH:4 A;@A7FE'656 H:4 =5A5=7
8C6:3
89H:4 D5A:3>7FEG656 8CH:4 A:3JD7FE'656 H:4 =;@=7
8C6:3
89H:4 D565=7FEG656 8CH:4 H;@H7FE'656 H:4 =5D5?7
8C6:3
89H:4 ;@D5=7FEG656 8CH:4 B@=5?7FE'656 H:4 =K@67
8C6:3
89H:4 ;@H:3>7FEG656 8CH:4 B5B@?7FE'656 H:4 =5D5=7
8C6:3
89H:4 A5?:3>7FEG656 8CH:4 3>K5;57FE'656 H:4 =5D5D7
8C6:3
89H:4 A5H5?7FEG656 8CH:4 3>B@D7FE'656 H:4 =5D5=7
8C6:3
89H:4 H5=5A7FEG656 8CH:4 6K@D7FE'656 H:4 =5=:3>7
8C6:3
89H:4 H5HK57FEG656 8CH:4 65H5H7FE'656 H:4 =5?B57
8C6:3
89H:4 B@?5A7FEG656 8IB<4 ?5?;57FE'656 H:4 =5?5?7
8C6:3
89H:4 B@A5A7FEG656 8IB<4 ?5A5=7FE'656 H:4 =5?K57
8C6:3
89H:4 3J=5A7FEG656 8IB<4 ?56567FE'656 H:4 ?56567
8C6:3
89H:4 3>B<3>7FEG656 8IB<4 =5AK57FE'656 H:4 ?B<3>7
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8C6:3
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896:3
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896:3
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896:3
:? 4 6:3>B57
896:3
354 6:3JD7FEG656
:= 4 ?5DB57
896:3
354 65D5A7FEG656
:= 4 =5?K57
896:3
:= 4 =:3>;57
896:3
354 353JA7FEG656
354 3JDK57FEG656
:= 4 K@A567
896:3
354 B5B5B57FEG656
:= 4 D5?:3>7
896:3
354 B@=:3>7FEG656
:= 4 D;5;57
896:3
354 H5A:3>7FEG656
:= 4 D:3>;57
896:3
354 A56;57FEG656
:= 4 ;@D5=7
896:3
354 AK5B57FEG656
:= 4 ;<3J=7
896:3
354 ;@A:3>7FEG656
:= 4 A5AB57
896:3
354 D:3>;57FEG656
:= 4 H5=B57
896:3
354 D5?:3>7FEG656
:= 4 H565?7
896:3
354 K5K<3>7FEG656
:= 4 B@AK57
896:3
354 =;5;57FEG656
:= 4 B<3J67
896:3
354 ?5A5A7FEG656
:= 4 3>K@67
896:3
B<4 65H5D7FEG656
:= 4 3>B@D7
896:3
B<4 3JHB57FEG656
:= 4 65D5?7
896:3
B<4 B@H5A7FEG656
:= 4 656B57
896:3
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<K 4 ?;@67
896:3
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896:3
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896:3
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896:3
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896:3
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896:3
D:4 A5=5=7FEG656
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896:3
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896:3
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896:3
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896:3
354 65H:3>7FEG6:3
D:4 H5=5=7
896:3
354 65=567FEG6:3
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354 H56567FEG6:3
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354 AB5K57FEG6:3
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8354 65=5=7FE'656
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8#354 3J6B57FEG656
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354 ?5HK57896:3
0.*/
2
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896:3
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8#354 K<353>7UEG656 8#354 H;@A7FE'656 A:4 65=;57
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896:3
8#354 B@A5D7UEG656 8#354 65H:3>7FE'656 A:4 3JH5=7
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8#354 3J=567UEG656 89?:4 ?5D;57
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0
0
0
0
−2
2
10
2
0
−2
2
2
1
10
−2
2
10
2
1
10
−2
2
10
2
2
1
−2
2
10
2
0
−2
1
10
2
10
1
10
2
10
1
−2
2
10
1
10
2
10
−2
2
−2
2
2
10
−2
2
1
2
10
distance
−2
−2
2
1
10
2
10
0
1
10
2
10
−2
2
1
10
2
10
0
1
10
2
10
−2
2
1
10
2
10
0
1
10
2
10
0
10
distance
1
10
0
0
10
2
0
0
10
−2
0
0
0
−2
2
10
0
0
−2
1
10
soil C
1
10
soil D
2
soil A
σ(Fbc)=0.1321
2
soil B
σ(SMD)=0.2866
2
−2
residual
σ(AI)=0.5473
2
−2
2
1
10
2
10
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2
0
1
10
2
10
distance
−2
1
10
2
10
distance
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P
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4
6
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8
4
6
8
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4
6
8
−2
2
2
2
2
0
0
0
0
4
6
−2
8
4
6
8
−2
4
6
8
−2
2
2
2
2
0
0
0
0
−2
4
6
−2
8
4
6
8
−2
4
6
8
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2
2
2
2
0
0
0
0
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4
6
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8
4
6
8
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6
8
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4
6
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8
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4
6
8
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4
6
8
4
6
8
4
6
8
4
6
8
6
8
soil B
0
soil C
0
soil D
0
soil A
σ(Fbc)=0.1321
2
−2
R
σ(SMD)=0.2866
2
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residual
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2
soil E
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2
4
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16.0
km
km
km
km
Frequency (
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scenario
=5 at 30
=7 at 30
=5 at 80
=7 at 80
10.0
soil A
soil C
4.0
0.0
10.0
20.0
Time ( )
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0.999
0.997
0.99
0.98
0.95
0.90
Probability
0.75
0.50
0.25
0.10
0.05
0.02
0.01
0.003
0.001
−4
−3
−2
−1
0
1
2
3
log(PGAobs / PGAlaw−att) (x σ)
AI; σ=0.5473
0.999
0.997
0.99
0.98
0.95
0.90
Probability
0.75
0.50
0.25
0.10
0.05
0.02
0.01
0.003
0.001
−4
−3
−2
−1
0
1
log(AIobs / AIlaw−att) (x σ)
2
3
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SMD; σ=0.2866
0.999
0.997
0.99
0.98
0.95
0.90
Probability
0.75
0.50
0.25
0.10
0.05
0.02
0.01
0.003
0.001
−5
−4
−3
−2
−1
0
log(SMDobs / SMDlaw−att) (x σ)
1
2
Fbc; σ=0.1321
0.999
0.997
0.99
0.98
0.95
0.90
Probability
0.75
0.50
0.25
0.10
0.05
0.02
0.01
0.003
0.001
−4
−3
−2
R
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−1
0
1
log(Fbcobs / Fbclaw−att) (x σ)
Q *‰ BS ='O
2
3
4
6.0
6.0
6.0
4.0
4.0
4.0
2.0
2.0
2.0
0.0
0.0
0.0
-2.0
-2.0
-2.0
-4.0
-4.0
-4.0
-6.0
-6.0 -4.0 -2.0 0.0 2.0 4.0 6.0
-6.0
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-6.0
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13.0
/ 2)
Acceleration (
13.0
PGA = 11.5
/
2
0.0
11.0
22.0
-13.0
0.0
/
2
11.0
M73D050S1
22.0
/
2
11.0
-4.0
0.0
Time ( )
22.0
/
2
0.0
M60D030S1
22.0
11.0
PGA = 0.503
0.0
M60D010S1
-13.0
0.0
4.0
PGA = 0.938
0.0
2
/
0.0
4.0
PGA = 3.15
/ 2)
PGA = 1.84
M73D030S1
4.0
-4.0
0.0
2
/
0.0
M73D010S1
-13.0
0.0
Acceleration (
13.0
PGA = 3.44
11.0
Time ( )
M60D050S1
22.0
-4.0
0.0
11.0
22.0
Time ( )
R Q *‰uo6z S— €;%1\Q\ Q<*%1% I" $fO [<\O'^k1.(#$'f[6HsCWg$1.%"fO<" 1%jk ]…s
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W m  J€ PLG
W m €JPL Wm€ jW mk€ : %2"G %1.(.aVw\zb [ <"$#
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(g "(# Z ,Š : 43D%.g1%\[^N '=%x‰ ?EŠ .""‚4
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1.5
4.0
PGA = 1.02 / 2
KNET M60D030S5
0.8
soil
soil
soil
soil
soil
0.0
soil E
-0.8
-1.5
/ 2)
PGA = 1.03 / 2
KNET M60D030S4
A
B
C
D
E
3.0
soil D
PGA = 1.09 / 2
KNET M60D030S3
0.8
2.0
0.0
/ 2)
Acceleration (
SA (
1.5
soil C
-0.8
-1.5
PGA = 0.956 / 2
KNET M60D030S2
soil B
1.0
1.5
2
PGA = 0.938 /
KNET M60D030S1
0.8
0.0
soil A
-0.8
-1.5
0.0
5.0
10.0
Time ( )
15.0
10 -2
10-1
100
0.0
Period ( )
‰o\oS|— €U.1.KJQSB$*1%%"fO4 ‚O(id&\Q "(#;B"[&'#EA% [/)1.1%%#%(9Š" (%"
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B” " ($#@1.(O$",—L L TL ‡
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[ '#$( U z zF„\z oK$"@#$%PdN#$.N( K O(' ‰oz‰ ŠC ‚OiŠ2 N*#$]";Š6]C"]EŠ
1.( %";N (*$f6
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A:HIE J F
0‰
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] "GŒŠ 1.F[R,N "(63D.iR] %%aŒŠ (3*"% : .8jN %1..hrF{ ."gND(" Q"gND%1\
QV W ‰xrGL ‰xW
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Amplitude (m/s)
3
101
2
100
10-1
10-2
= 5.0
= 6.0
= 6.5
= 7.0
10-1
100
101
102
frequency (Hz)
R Q u‰ ow,S K '%C1.1%%#%(d"gND%1. QV(VQV('C"1.%,$"]COEŠW_."gND%1\ : %#udd"}>',#
r ‰xzGL ‰xzPL ‰xr/ q ‰ zPLD0"(#S O(.(#$FO$1I#1%(*$(")0/" ('1.'”X"4" 1%"}>',# w\Nz b [ ‰)") 1%\[^N,$" (MLHEŠ ' L ' 'g" #$FND%" 9]CF‰
F H
KNET M54D030S3
/ 2)
PGA = 0.765
2
/
PGA = 0.421
2
/
TKY010
0007240652
KNET
PGA = 0.840
TKY010
0006291530
KNET
PGA = 0.429
MYG013
0307260013
KNET
PGA = 0.573
MYG008
0307260013
KNET
PGA = 0.451
MYG007
0307260013
KNET
PGA = 0.738
KGS008
9704030433
KNET
PGA = 0.587
KGS006
9704030433
KNET
PGA = 0.533
HRS001
0010081317
KNET
PGA = 0.544
/
2
/
2
/
2
/
2
/
2
/
2
/
2
/
2
Acceleration (
1.0
0.5
0.0
-0.5
PGA = 1.12
2
/
-1.0
PGA = 0.613
PGA = 0.427
PGA = 1.17
0.0
5.0
10.0
Time ( )
15.0
2
/
PGA = 0.625
PGA = 1.13
2
/
2
/
/
/
2
2
20.0
0.0
5.0
10.0
15.0
20.0
Time ( )
Q ‰o6„ S !\ [^N,$" ( J Q-Œ ŠW" [&'#$. : $3#$id k#$ƒQs6cEŠ*W,'*# : E3$#id
kVOiŠ2s QV() r ‰ [6F[6%2v[<JO('9 : %29#=1%.0A „Fz6b[ (0" ($# Z ‰ HP$(4L,,4
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Simulations
KNET
+ 1 sigma
0 sigma
- 1 sigma
variability
/ 2)
2.0
Records
= 4.5
= 30km
SA (
1.0
0.0
SA (
/ 2)
5.0
/ 2)
10-1
100
Simulations
10 -2
10-1
100
Records
= 6.0
= 40km
4.0
3.0
2.0
1.0
0.0
SA (
10 -2
9.0
8.0
7.0
6.0
5.0
4.0
3.0
2.0
1.0
0.0
10 -2
10-1
100
Simulations
10 -2
10 -2
10-1
100
Records
10-1
100
10 -2
Period ( )
= 7.3
= 70km
10-1
100
Period ( )
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a" P1% : #$'."G$<ŒŠQ ‚OiŠ2VN*#$" sƒLH#$H1IA%/(O(.(#$FO$1I#,"(#;1.(O$BZ ‰* ##;'#
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pF„FpFzW.1%( "6\ Q Œ Š2 ”X.R [6$ (&,AP3," ‰ Š" [/\E ŠHh"N1%#I # d[ : E3#aF N*$( QV(
N : $f O-$f N'=R4I E ŠP}H'bQ.f O(%.ˆ" }H'*)\ N*$u# di‰ K ' Œ Š% [/\ L(Œ Š%" Q" dH2E Š*.1%V" [/ d
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w\zFzF„es\‰
F P
107
106
105
104
103
102
101
100
10 -1
soil A
soil C
soil D
soil E
M_w 4.5
107
106
105
104
103
102
101
100
10 -1
4.5 <M_w 5.5
107
106
105
104
103
102
101
100
10 -1
107
106
105
104
103
102
101
100
10 -1
soil B
5.5 <M_w 6.5
6.5 M_w
10 0
101
102
(
100
)
101
102
(
100
101
)
102
(
100
)
10 1
102
(
100
)
101
10 2
(
)
# k3*#E1PGb s
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[6H%#@$5ŒŠ % !] #$ #(O $(*"" VQ %"3#$:‰ 4"4#"y;N ""3#$ ?\%/[ / 01%#'
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102
soil A
101
soil B
soil C
soil D
soil E
100
10 -1
M_w 4.5
10 -2
102
101
100
10 -1
4.5 <M_w 5.5
10 -2
102
101
100
10 -1
5.5 <M_w 6.5
10 -2
102
101
100
10 -1
10 -2
6.5 M_w
10 0
101
102
(
100
)
R
101
102
(
100
102
(
100
)
10 1
102
(
100
)
101
10 2
(
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101
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coefficients
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−2
−3
−4
−5
−6
−7
a
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bx1000 (weak dataset)
a
(strong dataset)
bx1000 (strong dataset)
−8
−9
−1
0
10
10
period (s)
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σ(0.2)=0.367
2
2
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1
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0
−1
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10
−2
2
1
10
Residual
σ(1)=0.3334
2
1
1
0
0
−1
−1
1
10
−2
2
1
10
2
10
Distance (km)
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10
σ(4)=0.358
2
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2
10
10
Distance (km)
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σ(PGA)=0.3263
σ(0.2)=0.367
2
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1
1
0
0
−1
−1
−2
3
4
5
6
7
−2
8
3
4
Residual
σ(1)=0.3334
2
1
1
0
0
−1
−1
3
4
5
6
6
7
8
7
8
σ(4)=0.358
2
−2
5
7
−2
8
3
Mw
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σ(PGA)=0.3452
σ(0.2)=0.3587
2
2
1
1
0
0
−1
−1
−2
1
10
2
−2
1
10
Residual
σ(1)=0.3474
2
1
1
0
0
−1
−1
1
10
10
σ(4)=0.3328
2
−2
2
10
2
−2
1
10
2
Distance (km)
10
10
Distance (km)
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σ(PGA)=0.3452
σ(0.2)=0.3587
2
2
1
1
0
0
−1
−1
−2
3
4
5
6
7
8
−2
3
4
Residual
σ(1)=0.3474
2
1
1
0
0
−1
−1
3
4
5
6
6
7
8
7
8
σ(4)=0.3328
2
−2
5
7
8
−2
3
Mw
4
5
6
Mw
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SA(PGA); σ=0.3263
0.999
0.997
0.99
0.98
0.95
Probability
0.90
0.75
0.50
0.25
0.10
0.05
0.02
0.01
0.003
0.001
−3
−2
−1
0
1
2
log(SAobs / SAGMPE) x σ
SA(0.2 s); σ=0.367
0.999
0.997
0.99
0.98
0.95
Probability
0.90
0.75
0.50
0.25
0.10
0.05
0.02
0.01
0.003
0.001
−3
−2
−1
log(SA
obs
0
/ SA
1
)xσ
2
3
GMPE
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SA(1 s); σ=0.3334
0.999
0.997
0.99
0.98
0.95
Probability
0.90
0.75
0.50
0.25
0.10
0.05
0.02
0.01
0.003
0.001
−3
−2
−1
0
1
log(SAobs / SAGMPE) x σ
2
3
SA(4 s); σ=0.358
0.999
0.997
0.99
0.98
0.95
Probability
0.90
0.75
0.50
0.25
0.10
0.05
0.02
0.01
0.003
0.001
−3
−2
−1
0
1
2
log(SAobs / SAGMPE) x σ
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4
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SA(PGA); σ=0.3452
0.999
0.997
0.99
0.98
0.95
Probability
0.90
0.75
0.50
0.25
0.10
0.05
0.02
0.01
0.003
0.001
−3
−2
−1
0
1
log(SAobs / SAGMPE) x σ
2
3
SA(0.2 s); σ=0.3587
0.999
0.997
0.99
0.98
0.95
Probability
0.90
0.75
0.50
0.25
0.10
0.05
0.02
0.01
0.003
0.001
−3
−2
−1
0
1
log(SAobs / SAGMPE) x σ
2
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SA(1 s); σ=0.3474
0.999
0.997
0.99
0.98
0.95
Probability
0.90
0.75
0.50
0.25
0.10
0.05
0.02
0.01
0.003
0.001
−3
−2
−1
0
1
log(SAobs / SAGMPE) x σ
2
3
SA(4 s); σ=0.3328
0.999
0.997
0.99
0.98
0.95
Probability
0.90
0.75
0.50
0.25
0.10
0.05
0.02
0.01
0.003
0.001
−3
−2
−1
0
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2
log(SAobs / SAGMPE) x σ
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4
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01$! #231&01%*)45#67$89$:91+;1&,*<$1$%>=? @
/ 2)
0.46
1.4
M : 4.0
X : 10 km
depth: 100 m
0.7
M : 6.5
X : 10 km
depth: 100 m
20.9
SA (
0.23
41.9
M : 5.0
X : 10 km
depth: 100 m
0.00
/ 2)
0.12
10 -2
10-1
100
0.0
10 -2
0.36
M : 4.0
X : 30 km
depth: 100 m
100
0.0
11.2
M : 5.0
X : 30 km
depth: 100 m
0.18
10 -2
10-1
100
M : 6.5
X : 30 km
depth: 100 m
5.6
SA (
0.06
10-1
0.00
/ 2)
0.014
10 -2
10-1
100
0.00
10 -2
0.046
M : 4.0
X : 99 km
depth: 100 m
100
0.0
1.7
M : 5.0
X : 99 km
depth: 100 m
0.023
10 -2
10-1
100
M : 6.5
X : 99 km
depth: 100 m
0.9
SA (
0.007
10-1
0.000
10 -2
10-1
100
0.000
10 -2
Periods ( )
10-1
100
0.0
Periods ( )
10 -2
10-1
100
Periods ( )
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à
100
Nice Event
= 4.6
Estaing Event
= 4.4
100
10-2
10-2
/ 2)
PGA (
/ 2)
10-1
10-3
10-4
10-3
Ambraseys et al. (1996)
Sabetta-Pugliese (1996)
Rock
Soil
101
102
Epicentral distance(
100
Nice Event
10 1
10-4
102
Epicentral distance(
)
= 4.6
Estaing Event
)
= 4.4
100
10-1
10-2
10-2
/ 2)
10-1
PGA (
/ 2)
PGA (
PGA (
10-1
10-3
10-4
10-3
Berge-Thierry et al. (2003)
Pousse et al. (2005)
Rock
Soil
101
102
Hypocentral distance(
10 1
)
ÇIê ,-¾˜¿§ÃM®N­Ž´º°Ž¾˜¸Å»ƒ«G±“Á–«`«G¸"­T«`·`¾N­Ž³‚«G³
10-4
102
Hypocentral distance(
)
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°T¾˜´µ¯?°Ž´i±{«G°gVÆN®N¸‚³q­T«`³‚´º·G±Ž«`³  ™ÆN²‚°T´µ¸‚½$炭Ž°T±Œ±{¶‚«­T«`¯Ä®k±{´µ¾N¸‚°E³«`­Ž´i¬˜«G³q»>¹3$¿æ»­{®N°T«G¹?°«G±+®}¯X ÇIȘÈNê ®}¸‚³q®}»@«V±Ž±g®1Îñ(²‚½˜¯µ´º«`°T«$ ÇIȘȘê Â/¾N­'±Ž¶‚«–«G´µ·G«`¸ˆ±{­Ž®N¯>³‚´µ° ±g®N¸·`«NÆ}®N¸‚³™°Ž«G·`¾˜¸‚³™±{¶‚«&­Ž«G¯Ä®}±Ž´µ¾˜¸‚°‡³‚«G­Ž´i¬˜«`³
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Wá
354
Modulus Reduction Curves for Sand
Damping Curves for Sand
32.5
Damping Ratio, %
Shear Modulus Ratio, G/Gmax
1.0
0.8
0.5
0.3
0.0
10 -4
10-3
10-2
Shear Strain,%
10-1
100
GL-000m
GL-007m
GL-016m
GL-037m
GL-076m
GL-151m
24.5
up
up
up
up
up
up
to
to
to
to
to
to
GL-006m
GL-015m
GL-036m
GL-075m
GL-150m
GL-300m
16.6
8.6
0.6
10 -4
10 -3
10-2
10-1
100
Shear Strain,%
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nonlinear response
linear response
10-1
10-1
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SA (
/ 2)
100
SA (
100
10-2
10-2
Mw = 6.0
X = 25km
station ABSH06
10-3
10-2
Mw = 6.0
X = 25km
station TKCH07
10 -1
100
10-2
Period ( )
10-1
10-3
100
Period ( )
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Magnitude
PGA -1
Median PGA
PGA +1
7.5
7.5
7.5
6.5
6.5
6.5
5.5
5.5
5.5
4.5
4.5
4.5
3.5
0.0
50.0
100.0
Distance (km)
3.5
0.0
50.0
3.5
0.0
100.0
Distance (km)
50.0
100.0
Distance (km)
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