Blind Ocean Acoustic Tomography
presentation at the ENEA Workshop on
Ocean Acoustic Tomography: results and perspectives
28 November 2002
Santa Teresa, Lerici, It´
alia
by
S.M. Jesus and C.Soares
SiPLAB, FCT - Universidade do Algarve
Campus de Gambelas, PT-8000 Faro, Portugal
Blind
Ocean
Acoustic
T
omograph
y
S.M.
Jesus
and
C.
Soares
{
sjesus,csoares
}
@ualg.pt
SiPLAB,
F
CT
-Univ
ersidade
do
Algarv
e,
Campus
de
Gam
b
elas,
PT
-F
aro,
P
ortugal
Supp
orted
under
A
TOMS,
F
CT
con
tract
PDCTM/P/MAR/15296/1999
and
TOMP
A
CO,
CNR,
Italy
.
Outline
•
the
game
of
the
name
and
motiv
ation
•
the
INTIF
ANTE’00
sea
trial
•
en
vironmen
tal
in
v
ersion
•
activ
e
tomograph
y
•
passiv
e
tomograph
y
•
summary
Ocean Acoustic Tomography - synoptic
Acoustic Model
p( )
ζ
ζ
r( )
y
ζ
ζ
environment
new
^
X
receiver
acoustic pressure
source signal
Correlator
Optimization
s(t)
(r,z)
source
Motiv
ation
⇒
•
decrease
the
dep
endency
on
source
kno
wledge
(emitted
signal
and
source
p
osition)
•
increase
the
(time-space)
adaptivit
y
•
abilit
y
to
use
non-co-op
erativ
e
(noise)
sources
INTIFANTE’00 Experimental Site
-9˚ 30' -9˚ 30' -9˚ 15' -9˚ 15' -9˚ 00' -9˚ 00' -8˚ 45' -8˚ 45' -8˚ 30' -8˚ 30' 38˚ 00' 38˚ 00' 38˚ 15' 38˚ 15' 38˚ 30' 38˚ 30' 38˚ 45' 38˚ 45' 39˚ 00' 39˚ 00' -9˚ 30' -9˚ 30' -9˚ 15' -9˚ 15' -9˚ 00' -9˚ 00' -8˚ 45' -8˚ 45' -8˚ 30' -8˚ 30' 38˚ 00' 38˚ 00' 38˚ 15' 38˚ 15' 38˚ 30' 38˚ 30' 38˚ 45' 38˚ 45' 39˚ 00' 39˚ 00' -9˚ 30' -9˚ 30' -9˚ 15' -9˚ 15' -9˚ 00' -9˚ 00' -8˚ 45' -8˚ 45' -8˚ 30' -8˚ 30' 38˚ 00' 38˚ 00' 38˚ 15' 38˚ 15' 38˚ 30' 38˚ 30' 38˚ 45' 38˚ 45' 39˚ 00' 39˚ 00' -9˚ 30' -9˚ 30' -9˚ 15' -9˚ 15' -9˚ 00' -9˚ 00' -8˚ 45' -8˚ 45' -8˚ 30' -8˚ 30' 38˚ 00' 38˚ 00' 38˚ 15' 38˚ 15' 38˚ 30' 38˚ 30' 38˚ 45' 38˚ 45' 39˚ 00' 39˚ 00' -9˚ 30' -9˚ 30' -9˚ 15' -9˚ 15' -9˚ 00' -9˚ 00' -8˚ 45' -8˚ 45' -8˚ 30' -8˚ 30' 38˚ 00' 38˚ 00' 38˚ 15' 38˚ 15' 38˚ 30' 38˚ 30' 38˚ 45' 38˚ 45' 39˚ 00' 39˚ 00' INTIFANTE’99 AreaLISBON
Sesimbra
Setubal
Espichel CapeGe
ome
tr
y
and
Bath
yme
tr
y
V
er
ti
ca
l
Line
A
r
ra
y
Radio
Buo
y:
depl
o
yme
n
t
and
se
tup
Reco
v
er
ing
the
T
e
lem
et
ry
U
ni
t
Sound
so
urce
and
e
mit
te
d
si
gnal
s
Ev
en
ts
2
a
nd
5
:
bat
h
ym
etr
y
and
runs
T
emp
erat
ure
ev
o
lut
io
n
(XB
T
)
Em
pir
ical
Ort
hogo
nal
F
uncti
ons
c
EOF
=
ˆc
+
N
X
n
=1
α
n
u
n
ˆN
=
mi
n
N
{
P
N
n
=1
λ
2
n
P
M
m
=1
λ
2
m
>
0
.8
}
1506
1510
1515
0
20
40
60
80
100
119
Soundspeed (m/s)
Depth (m)
−0.2
−0.1
0
0.1
0
20
40
60
80
100
119
Soundspeed (m/s)
Depth (m)
1st EOF
2nd EOF
P
h
ysical
mo
del
-NW/
N
E
tr
a
c
k
0
60
119
Depth (m)
Range (km)
Source (63 m)
Sediment
Subbottom
0
2
5.7
1506
1518
m/s
2.0 m
1750 m/s
α
=0.8 dB/
λ
ρ
=1.9 g/cm
3
α
=0.8 dB/
λ
ρ
=1.9 g/cm
3
1800 m/s
VA
Inversion results for Event 2
289.580 289.6 289.62 289.64 289.66 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Julian Time Bartlett Power 289.58 289.6 289.62 289.64 289.66 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 Julian Time Range (km) 289.58 289.6 289.62 289.64 289.66 10 20 30 40 50 60 70 80 90 100 Julian Time Depth (m) 289.5885 289.6 289.62 289.64 289.66 86 87 88 89 90 91 92 93 94 95 Julian Time Sensordepth (m) 289.58 289.6 289.62 289.64 289.66 1520 1540 1560 1580 1600 1620 1640 1660 1680 1700 Julian Time Speed in sed. (m/s) 289.58 289.6 289.62 289.64 289.66 2 4 6 8 10 12 14 Julian Time Sediment thickness (m) 289.58 289.6 289.62 289.64 289.66 1550 1600 1650 1700 1750 1800 1850 1900 Julian Time Speed in sub−bottom (m/s) 289.58 289.6 289.62 289.64 289.66 −0.03 −0.02 −0.01 0 0.01 0.02 0.03 0.04 Julian TimeArray tilt (rad)
289.58 289.6 289.62 289.64 289.66 −20 −15 −10 −5 0 5 10 15 20 Julian Time α1 289.58 289.6 289.62 289.64 289.66 −20 −15 −10 −5 0 5 10 15 20 Julian Time α2
P
h
ysical
mo
del
-NW/
N
E
tr
a
c
k
0
60
119
Depth (m)
Range (km)
Source (63 m)
Subbottom
0
2
5.7
1506
1518
m/s
α
=0.8 dB/
λ
ρ
=1.9 g/cm
3
1800 m/s
VA
Sediment
2.0 m
1650 m/s
α
=0.8 dB/
λ
ρ
=1.9 g/cm
3
Inversion results for Event 5
290.94 290.96 290.98 291 291.02 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Julian Time Bartlett Power 290.94 290.96 290.98 291 291.02 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 Julian Time Range (km) 290.94 290.96 290.98 291 291.02 10 20 30 40 50 60 70 80 90 100 Julian Time Depth (m) 290.94 290.96 290.98 291 291.02 85 86 87 88 89 90 91 92 93 94 95 Julian Time Sensordepth (m) 290.94 290.96 290.98 291 291.02 1520 1540 1560 1580 1600 1620 1640 1660 1680 1700 Julian Time Speed in sed. (m/s) 290.94 290.96 290.98 291 291.02 2 4 6 8 10 12 14 Julian Time Sediment thickness (m) 290.94 290.96 290.98 291 291.02 1550 1600 1650 1700 1750 1800 1850 1900 Julian Time Speed in sub−bottom (m/s) 290.94 290.96 290.98 291 291.02 −0.03 −0.02 −0.01 0 0.01 0.02 0.03 Julian TimeArray tilt (rad)
290.94 290.96 290.98 291 291.02 −20 −15 −10 −5 0 5 10 15 20 Julian Time α1 290.94 290.96 290.98 291 291.02 −20 −15 −10 −5 0 5 10 15 20 Julian Time α2
Ti
de
ev
ol
uti
on
and
V
A
m
o
ving
Est
im
a
ted
temp
er
a
ture
pro
files
-Ev
en
t
2
&
5
13
14
15
16
17
18
0
20
40
60
80
100
120
Temperature (
o
C)
Depth (m)
XBT
Thermistors
13
14
15
16
17
18
0
20
40
60
80
100
120
Temperature (
o
C)
Depth (m)
XBT
Thermistors
NRP
D.
Car
lo
s
I
Ov
eral
l
leng
th
(m
)
68
Be
a
m
(m)
13
Gross
di
sp
la.
(ton)
28
00
Tw
o
di
esel-elec
tric
(HP
)
80
0
Max
sp
eed
(kn)
11
Crew
34
Scien
tific
15
Ev
en
t
6
:
bat
h
ym
etr
y
and
so
urce
r
un
Depth (m)
70
80
90
100
110
120
130
124
126
128
130
132
134
149
150
151
152
153
x
Event 5 − NE leg
x
ULVA
x
x
Militar Long. (km)
02:14
03:14
02:44
Event 6
02:59
x
x x x xx
x
Event 2 − NW leg
Militar Lat. (km)
NRP D. Carlos I speed and heading
291.09
0
291.1
291.11
291.12
291.13
291.14
291.15
291.16
2
4
6
8
10
12
14
Ship speed (kn)
(a)
291.09
0
291.1
291.11
291.12
291.13
291.14
291.15
291.16
100
200
300
400
Bearing (deg)
Julian date
(b)
P
h
ysical
mo
del
a
nd
sear
c
h
par
amet
er
s
0
60
119
Depth (m)
Range (km)
Source (3 m)
Sediment
Subbottom
0
2
5.7
1506
1518
m/s
2.0 m
1650 m/s
α
=0.8 dB/
λ
ρ
=1.9 g/cm
3α
=0.8 dB/
λ
ρ
=1.9 g/cm
31800 m/s
VA
Sym
b
ol
U
nit
Searc
h
in
t./
Steps
α
1
m/s
-20
20
64
α
2
m/s
-20
20
64
sr
km
0.
5
3.
5
6
4
sd
m
1
10
3
2
rd
m
85
95
3
2
θ
rad
-0.
03
0.
03
32
NRP
D.
Car
lo
s
I
r
adiat
ed
noi
se
dB
180
185
190
195
200
205
Frequency (Hz)
Julian Time
100
200
300
400
500
600
700
291.1
291.105
291.11
291.115
291.12
291.125
100
200
300
400
500
600
700
185
190
195
200
205
Frequency (Hz)
Power (dB)
291.1
291.107
291.114
291.121
291.128
291.135
200
300
359
400
500
600
700
Julian Time
Frequency (Hz)
Inversion results for Event 6
291.102 291.11 291.118 291.126 291.134 0 0.2 0.4 0.6 0.8 1 Julian Time Bartlett Power 291.102 291.11 291.118 291.126 291.134 0.5 1 1.5 2 2.5 3 3.5 Julian Time Range (km) 291.102 291.11 291.118 291.126 291.134 1 2 3 4 5 6 7 8 9 10 Julian Time Depth (m) 291.102 291.11 291.118 291.126 291.134 85 90 95 Julian Time Sensordepth (m) 291.102 291.11 291.118 291.126 291.134 −0.03 −0.02 −0.01 0 0.01 0.02 0.03 Julian TimeArray tilt (rad)
291.102 291.11 291.118 291.126 291.134 −20 −15 −10 −5 0 5 10 15 20 Julian Time α1 291.102 291.11 291.118 291.126 291.134 −20 −15 −10 −5 0 5 10 15 20 Julian Time α2
1504
1506
1508
1510
1512
1514
1516
291.102 291.11 291.118 291.126 291.134
0
20
40
60
80
100
Julian Time
Depth (m)
Theoretical
bac
kground
•
Linear
broadband
data
mo
del:
Y
(θ
0
)
=
[Y
T
(ω
1
)·
··
Y
T
(ω
L
)]
T
=
H
(θ
0
)S
+
U
•
Minim
um
variance
signal
estimator:
ˆS(
ˆθ
0
)
=
[(
H
H
( ˆθ
0
)H
( ˆθ
0
)]
−
1
H
H
( ˆθ
0
)
N
−
1
X
n
=0
Y
n
(θ
0
)
•
Broadband
con
ven
tional
pro
cessor:
P
inc
(θ
)
=
K
X
k
=1
| ˆS
(ω
k
)|
2
H
H
(ω
k
,θ
)
ˆC
Y
Y
(ω
k
,ω
k
)H
(ω
k
,θ
)
k
H
(θ
)
ˆS
k
2
F
requency
selection
•
V
ariance
at
the
k
th
hydrophone:
V
(ω
,k
)
=
1
T
Z
T
0
[Y
(ω
,t,
k
)
−
µ
Y
(ω
,k
)]
2
dt,
•
Lik
eliho
od
measure:
v
(ω
)
=
K
K
X
k
=1
V
(ω
,k
)
200
300
400
500
600
700
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Frequency (Hz)
Likelihood
Ev
en
t
6:
In
v
ersion
results
291.112 291.117 291.123 291.128 291.134 0 0.2 0.4 0.6 0.8 1Julian Time
Bartlett Power 291.112 291.117 291.123 291.128 291.134 0.5 1 1.5 2 2.5 3 3.5Julian Time
Range (km) 291.112 291.117 291.123 291.128 291.134 1 2 3 4 5 6 7 8 9 10Julian Time
Depth (m) 291.112 291.117 291.123 291.128 291.134 85 90 95Julian Time
Sensordepth (m) 291.112 291.117 291.123 291.128 291.134 −0.03 −0.02 −0.01 0 0.01 0.02 0.03 Julian TimeArray tilt (rad)
291.112 291.117 291.123 291.128 291.134 −20 −15 −10 −5 0 5 10 15 20