1 10 100 1000
5
6
7
8
Distance (km)
Mom
ent
Mag
nitu
de
valid region for using BJF equations
Western North America (used by BJF93, 97 for pga)
1 10 100 1000
5
6
7
8
Distance (km)
World (NGA, with BA exclusions)
File
:C
:\atc
_por
tland
_200
5\m
_d_w
na_b
jf_pe
er_p
ga.d
raw
;D
ate:
2005
-03-
29;
Tim
e:16
:48:
58
1 10 100 1000
5
6
7
8
Distance (km)
Mom
ent
Mag
nitu
de
valid region for using BJF equations
Western North America (used by BJF93, 97 for pga)
1 10 100 1000
5
6
7
8
Distance (km)
World (NGA, with BA exclusions)
File
:C
:\atc
_por
tland
_200
5\m
_d_w
na_b
jf_pe
er_p
ga_w
ith_b
ig_t
ext.d
raw
;D
ate:
2005
-03-
29;
Tim
e:16
:48:
28
Includes02 Denali Fault (M 7.9)99 Chi-Chi (M 7.6)99 Kocaeli (M 7.5)78 Tabas (M 7.4)86 Taiwan (M 7.3)99 Duzce (M 7.1)
1 2 10 20 100 200
10
100
1000
T=
0.1
sec
D
PS
A(c
m/s
2)
M 4 to 5 M 5 to 6 M 6 to 7 M 7 to 8
T=0.1 sec
1 2 10 20 100 200
10
100
1000
T=
0.3
sec
D
PS
A(c
m/s
2)
nobs _> 5
T=0.3 sec
1 2 10 20 100 200
10
100
1000
T=
1.0
sec
D
PS
A(c
m/s
2)
T=1.0 sec
1 2 10 20 100 200
1
10
100T
=2
.0se
c
D
PS
A(c
m/s
2)
T=2.0 sec
File
:C
:\pe
er_n
ga\t
eam
x\bi
ns_b
jf_vs
_r_v
ref2
55.d
raw
;D
ate:
2005
-04-
11;
Tim
e:21
:04:
07
4 5 6 7 8 9-1
-0.5
0
0.5
1
T=
0.1
sec
M
Eve
ntT
erm
(Avg
(ob
s-B
JFC
alc
))
M _< 7.5 M > 7.5 (Kocaeli, Chi-Chi, Denali)
T=0.1 sec
4 5 6 7 8 9-1
-0.5
0
0.5
1
T=
0.3
2se
c
M
Eve
ntT
erm
(Avg
(ob
s-B
JFC
alc
)) T=0.32 sec
4 5 6 7 8 9-1
-0.5
0
0.5
1
T=
1.0
sec
M
Eve
ntT
erm
(Avg
(ob
s-B
JFC
alc
)) T=1.0 sec
4 5 6 7 8 9-1
-0.5
0
0.5
1
T=
2.0
sec
M
Eve
ntT
erm
(Avg
(ob
s-B
JFC
alc
)) T=2.0 sec
File
:C
:\pe
er_n
ga\t
eam
x\ev
ent_
term
s_v3
0ref
_255
.dra
w;
Dat
e:20
05-0
3-29
;T
ime:
16:0
2:00
? ?
?
?
?
?
Gail’s equations
• correct data for V30 using BJF
• exclude Chi-Chi aftershocks
• T = 0.1, 0.3, 1.0, 2.0 sec
• log Y = c0 – c1 exp(c2*M)-0.5logR-bR
• R=sqrt(Rjb^2+h(M)^2)
• h= 8(M<5.5)2(M>7.0)
• log b = c3 + c4*M
Dave’s equations
• correct data for V30 using BJF
• exclude Chi-Chi aftershocks
• T = 0.1, 0.3, 1.0, 2.0 sec
• log Y = c1 + c2*(M-6) + c3*(M-6)^2 + c4 log R• (log Y = c1 + c2*(M-6) + c3*(M-6)^2 + (c4+c5*M) log R)
• (log Y = c1 + c2*(M-6) + c3*(M-6)^2 + c4log R + c6*R)
• R=sqrt(Rjb^2+h(T)^2)
• h from BJF
1 2 10 20 100 200
10
100
1000
T=
0.1
sec
D
PS
A(c
m/s
2)
M 4 to 5 M 5 to 6 M 6 to 7 M 7 to 8
T=0.1 sec
1 2 10 20 100 200
10
100
1000
T=
0.3
sec
D
PS
A(c
m/s
2)
nobs _> 5
T=0.3 sec
1 2 10 20 100 200
10
100
1000
T=
1.0
sec
D
PS
A(c
m/s
2)
T=1.0 sec
1 2 10 20 100 200
1
10
100T
=2
.0se
c
D
PS
A(c
m/s
2)
T=2.0 sec
File
:C
:\pe
er_n
ga\t
eam
x\bi
ns_d
mb_
c6_6
_c5_
vs_r
_vre
f255
.dra
w;
Dat
e:20
05-0
4-11
;T
ime:
21:0
8:31
0.1 1 10 100-1.5
-1
-0.5
0
0.5
1
1.5
T=
0.1
sec
r4plt
log
(ob
s/ca
lc)
obs-calc nobs >= 5
0.1 1 10 100-1.5
-1
-0.5
0
0.5
1
1.5
T=
0.3
2se
c
r4plt
log
(ob
s/ca
lc)
0.1 1 10 100-1.5
-1
-0.5
0
0.5
1
1.5
T=
1.0
sec
r4plt
log
(ob
s/ca
lc)
0.1 1 10 100-1.5
-1
-0.5
0
0.5
1
1.5
T=
2.0
sec
r4plt
log
(ob
s/ca
lc)
File
:C
:\pe
er_n
ga\t
eam
x\re
sids
_dm
b_m
6_6_
vs_r
_m_4
_to_
5_v3
0ref
_255
.dra
w;
Dat
e:20
05-0
4-11
;T
ime:
20:5
1:43
0.1 1 10 100-1.5
-1
-0.5
0
0.5
1
1.5
T=
0.1
sec
r4plt
log
(ob
s/ca
lc)
obs-calc nobs >= 5
0.1 1 10 100-1.5
-1
-0.5
0
0.5
1
1.5
T=
0.3
2se
c
r4plt
log
(ob
s/ca
lc)
0.1 1 10 100-1.5
-1
-0.5
0
0.5
1
1.5
T=
1.0
sec
r4plt
log
(ob
s/ca
lc)
0.1 1 10 100-1.5
-1
-0.5
0
0.5
1
1.5
T=
2.0
sec
r4plt
log
(ob
s/ca
lc)
File
:C
:\pe
er_n
ga\t
eam
x\re
sids
_dm
b_m
6_6_
vs_r
_m_5
_to_
6_v3
0ref
_255
.dra
w;
Dat
e:20
05-0
4-11
;T
ime:
20:5
2:12
0.1 1 10 100-1.5
-1
-0.5
0
0.5
1
1.5
T=
0.1
sec
r4plt
log
(ob
s/ca
lc)
obs-calc nobs >= 5
0.1 1 10 100-1.5
-1
-0.5
0
0.5
1
1.5
T=
0.3
2se
c
r4plt
log
(ob
s/ca
lc)
0.1 1 10 100-1.5
-1
-0.5
0
0.5
1
1.5
T=
1.0
sec
r4plt
log
(ob
s/ca
lc)
0.1 1 10 100-1.5
-1
-0.5
0
0.5
1
1.5
T=
2.0
sec
r4plt
log
(ob
s/ca
lc)
File
:C
:\pe
er_n
ga\t
eam
x\re
sids
_dm
b_m
6_6_
vs_r
_m_6
_to_
7_v3
0ref
_255
.dra
w;
Dat
e:20
05-0
4-11
;T
ime:
20:5
2:35
0.1 1 10 100-1.5
-1
-0.5
0
0.5
1
1.5
T=
0.1
sec
r4plt
log
(ob
s/ca
lc)
obs-calc nobs >= 5
0.1 1 10 100-1.5
-1
-0.5
0
0.5
1
1.5
T=
0.3
2se
c
r4plt
log
(ob
s/ca
lc)
0.1 1 10 100-1.5
-1
-0.5
0
0.5
1
1.5
T=
1.0
sec
r4plt
log
(ob
s/ca
lc)
0.1 1 10 100-1.5
-1
-0.5
0
0.5
1
1.5
T=
2.0
sec
r4plt
log
(ob
s/ca
lc)
File
:C
:\pe
er_n
ga\t
eam
x\re
sids
_dm
b_m
6_6_
vs_r
_m_7
_to_
8_v3
0ref
_255
.dra
w;
Dat
e:20
05-0
4-11
;T
ime:
20:5
2:58
4 5 6 7 81
10
100
1000
10000
T=
0.1
sec
M
0.1
00
nobs >=5 BJF, with RJB = 6.3 ABNGAv0.1, with RJB = 6.3 SMSIM (AS00-WR), R=8 DMB_M6_6
4 5 6 7 81
10
100
1000
10000
T=
0.3
sec
M
0.3
00
4 5 6 7 81
10
100
1000
10000
T=
1.0
sec
M
1.0
00
4 5 6 7 8
1
10
100
1000
T=
2.0
sec
M
2.0
00
File
:C:\
peer
_nga
\tea
mx\
psa_
vs_m
_r_l
t_20
_v30
ref_
255.
draw
;Dat
e:20
05-0
4-11
;Ti
me:
18:3
0:01
4 5 6 7 8-1.5
-1
-0.5
0
0.5
1
1.5
T=
0.1
sec
m
log
(ob
s/ca
lc)
obs-calc nobs >= 5
4 5 6 7 8-1.5
-1
-0.5
0
0.5
1
1.5
T=
0.3
2se
c
m
log
(ob
s/ca
lc)
RJB< 40 km.
4 5 6 7 8-1.5
-1
-0.5
0
0.5
1
1.5
T=
1.0
sec
m
log
(ob
s/ca
lc)
4 5 6 7 8-1.5
-1
-0.5
0
0.5
1
1.5
T=
2.0
sec
m
log
(ob
s/ca
lc)
File
:C
:\pe
er_n
ga\t
eam
x\re
sids
_dm
b_c6
_6_v
s_m
_r_l
t_40
_v30
ref_
255.
draw
;D
ate:
2005
-04-
11;
Tim
e:20
:56:
01
4 5 6 7 8-1.5
-1
-0.5
0
0.5
1
1.5
T=
0.1
sec
m
log
(ob
s/ca
lc)
obs-calc nobs >= 5
4 5 6 7 8-1.5
-1
-0.5
0
0.5
1
1.5
T=
0.3
2se
c
m
log
(ob
s/ca
lc)
40 _<RJB< 200 km.
4 5 6 7 8-1.5
-1
-0.5
0
0.5
1
1.5
T=
1.0
sec
m
log
(ob
s/ca
lc)
4 5 6 7 8-1.5
-1
-0.5
0
0.5
1
1.5
T=
2.0
sec
m
log
(ob
s/ca
lc)
File
:C
:\pe
er_n
ga\t
eam
x\re
sids
_dm
b_c6
_6_v
s_m
_r_g
t_40
_lt_
200_
v30r
ef_2
55.d
raw
;D
ate:
2005
-04-
11;
Tim
e:20
:55:
26
1 2 10 20 100 2000.1
1
10
100
1000P
SA
(cgs
)fo
rT
=
Distance Rjb (km)
PS
A00
.10
Compare BA2stage1 to data(all for data within 0.25 M units of target, corrected using BJF to NEHRP D)
1 2 10 20 100 2000.1
1
10
100
1000
PS
A(c
gs)
for
T=
Distance Rjb (km)
PS
A00
.30
Anza eq, obs. reduced to V30 = 255 m/secobservations (reduced to V30 = 255 m/s)nobs(0.3sec) _> 5mag. independ. gspreadmag. dep. gspreadanelastic term
1 2 10 20 100 2000.01
0.1
1
10
100
1000
PS
A(c
gs)
for
T=
Distance Rjb (km)
PS
A01
.00
1 2 10 20 100 2000.01
0.1
1
10
100
PS
A(c
gs)
for
T=
Distance Rjb (km)
PS
A02
.00
File
:C:\p
ee
r_n
ga
\tea
mx\
BA
2st
ag
e1
_m
5p
0_
ad
d_
an
za.d
raw
;Da
te:2
00
5-0
4-1
1;
Tim
e:
20
:26
:21
1 2 10 20 100 2000.1
1
10
100
1000P
SA
(cgs
)fo
rT
=
Distance Rjb (km)
PS
A00
.10
Compare BA2stage1 to data(all for data within 0.25 M units of target, corrected using BJF to NEHRP D)
1 2 10 20 100 2000.1
1
10
100
1000
PS
A(c
gs)
for
T=
Distance Rjb (km)
PS
A00
.30
Anza eq, obs. reduced to V30 = 255 m/secobservations (reduced to V30 = 255 m/s)nobs(0.3sec) _> 5mag. independ. gspreadmag. dep. gspreadanelastic termimpose anelastic term
1 2 10 20 100 2000.01
0.1
1
10
100
1000
PS
A(c
gs)
for
T=
Distance Rjb (km)
PS
A01
.00
1 2 10 20 100 2000.01
0.1
1
10
100
PS
A(c
gs)
for
T=
Distance Rjb (km)
PS
A02
.00
File
:C:\p
ee
r_n
ga
\tea
mx\
m5
p0
_d
mb
_a
nza
_im
po
se_
an
ela
stic
.dra
w;D
ate
:20
05
-04
-12
;Tim
e:
06
:30
:07
10 20 100 200-4
-2
0
2
4lo
g0
p1
Anza3.92024647404-0.992*log(x)+-0.0080363939*xlog0p1
10 20 100 200-2
-1
0
1
2
3
log
0p
3
Anza3.30952883968-0.901*log(x)+-0.0049737909*xlog0p3
10 20 100 200-2
-1
0
1
2
3
log
1p
0
Anza2.24491828892-0.721*log(x)+-0.0026974862*xlog1p0
10 20 100 200-3
-2
-1
0
1
2
r_ep (km)
log
2p
0
Anza1.58294294949-0.739*log(x)+-0.0014094007*xlog2p0 F
ile:
C:\
pe
er_
ng
a\a
nz
ae
q\a
nz
a_
ps
a_
vs
_r.
dra
w;D
ate
:20
05
-04
-12
;Tim
e:
11:2
1:5
5
1 2 10 20 100 2000.1
1
10
100
1000P
SA
(cgs
)fo
rT
=
Distance Rjb (km)
PS
A00
.10
Compare BA2stage1 to data(all for data within 0.25 M units of target, corrected using BJF to NEHRP D)
1 2 10 20 100 2000.1
1
10
100
1000
PS
A(c
gs)
for
T=
Distance Rjb (km)
PS
A00
.30
Big Bear City eq, obs. reduced to V30 = 255 m/secobservations (reduced to V30 = 255 m/s)nobs(0.3sec) _> 5mag. independ. gspreadmag. dep. gspreadanelastic term
1 2 10 20 100 2000.01
0.1
1
10
100
1000
PS
A(c
gs)
for
T=
Distance Rjb (km)
PS
A01
.00
1 2 10 20 100 2000.01
0.1
1
10
100
PS
A(c
gs)
for
T=
Distance Rjb (km)
PS
A02
.00 F
ile:C
:\pe
er_
ng
a\te
am
x\m
5p
0_
dm
b_
bb
c.d
raw
;D
ate
:20
05
-04
-11
;T
ime
:2
0:3
2:1
3
1 2 10 20 100 2000.1
1
10
100
1000P
SA
(cgs
)fo
rT
=
Distance Rjb (km)
PS
A00
.10
Compare BA2stage1 to data(all for data within 0.25 M units of target, corrected using BJF to NEHRP D)
1 2 10 20 100 2000.1
1
10
100
1000
PS
A(c
gs)
for
T=
Distance Rjb (km)
PS
A00
.30
Yorba Linda eq, obs. reduced to V30 = 255 m/secobservations (reduced to V30 = 255 m/s)nobs(0.3sec) _> 5mag. independ. gspreadmag. dep. gspreadanelastic term
1 2 10 20 100 2000.01
0.1
1
10
100
1000
PS
A(c
gs)
for
T=
Distance Rjb (km)
PS
A01
.00
1 2 10 20 100 2000.01
0.1
1
10
100
PS
A(c
gs)
for
T=
Distance Rjb (km)
PS
A02
.00 F
ile:C
:\pe
er_
ng
a\te
am
x\m
5p
0_
dm
b_
yl.d
raw
;D
ate
:20
05
-04
-11
;Tim
e:
20
:33
:52
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