PEMODELAN DAN INVERSI DISPERSI GELOMBANG

ValiditasGA[FungsiGriewank]
x2 + y 2
 y 
+1
min f ( x, y ) =− cos ( x ) cos 

4000
 2
YuandGen(2010)
DanEstimasi
f ( 0, 0 ) = 0 (Yu and Gen, 2010)
f (0.000915555284279890, 0.000915555284279890) = 0 ( Estimasi dg GA)
INVERSI DISPERSI GELOMBANGRAYLEIGH
H[m] Vs[m/s] Vp[m/s]
Model1
Vp[m/s]pers.4.3 Vp
[m/s]
Model2[υ]
5
350
Pers.5.2
0.4
5
500
0.33
10
700
0.3
∞
900
0.23
Pers.
4.4a
V p =0.9409 + 2.094Vs − 0.8206Vs2 + 0.2683Vs3 − 0.025Vs4
Vp = Vs
1 − 2v
2 (1 − v )
InversiuntukmencariHdanVs
Inversi Kurva Dispersi
0
900
Observasi
Estimasi
5
800
Depth (m)
600
900
15
20
800
500
25
700
400
300
0
20
40
60
Vs inversi
Vs observasi
Vp Inversi
Vp observasi
30
600
Error Function
Phase Velocity (m/s)
10
700
35
500
80
100
120
Frequency (Hz)
140
160
180
200
0
500
1000
1500
Vs(m/s) dan Vp(m/s)
400
300
200
100
0
0
5
10
15
20
25
30
Generasi Ke-
35
40
45
50
2000
2500
InversiuntukmengestimasirasioPoison, H,
danVs
Inversi Kurva Dispersi
0
800
Observasi
Estimasi
750
5
700
10
600
550
Depth (m)
450
400
15
500
350
20
450
300
400
350
300
0
20
40
60
Error Function
Phase Velocity (m/s)
650
80
100
120
Frequency (Hz)
25
250
200
140
160
180
5
10
200
30
200
Vs inversi
Vs observasi
Vp Inversi
Vp observasi
400
600
1000
800
Vs(m/s) dan Vp(m/s)
150
100
50
0
0
15
20
25
30
Generasi Ke-
35
40
45
50
1200
1400
1600
InversiMultimodeu/mencariHdanVs
Inversi Kurva Dispersi
0
900
5
800
Depth (m)
12000
600
15
20
10000
500
Vs inversi
Vs observasi
Vp Inversi
Vp observasi
25
8000
400
300
0
20
40
60
Error Function
Phase Velocity (m/s)
10
700
30
6000
80
100
120
Frequency (Hz)
140
160
180
0
500
1000
1500
Vs(m/s) dan Vp(m/s)
200
4000
2000
0
0
5
10
15
20
25
30
Generasi Ke-
35
40
45
50
2000
2500