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scale deviations superimposed on the topography-induced shift reflected
the influence of instabilities in the currents near the Kuroshio boundary.
3 Estimates of average current velocity and wind drift
Case 1
Estimates of average surface currents were obtained under the assumption
that the ship in Figure 1b moved in a straight line AB (axis x ), connecting
point A at the beginning of the wastewater discharge and point B , its loca-
tion during the SAR observations. This indicates that no wind- or current-
induced drift were prevailing, only oil spreading was observed at point A
during the ship's movement to point B . In such a case deviations of the
spill from line AB were caused by the action of a single factor, the surface
current, or more accurately, by a component of surface current normal to
line AB . The average velocity of this normal component in point x can be
found from the relation
>
@ 1
V c
(
x
)
y
(
x
)
'
t
(
x
)
(1)
where y ( x ) is the distance of the centre of the spill band from line AB , x is
the distance of point x from point A and ' t ( x ) is the time elapsed after the
discharge of wastewater at point x .
Since ' t ( x ) = ( L - x )( V s ) -1 , where L is the distance between points A and
B , and V s is the ship's velocity, the average current velocity can be rewrit-
ten as
1
V
(
x
)
y
(
x
)
L
x
V
(2)
c
g
It is known that SAR observations of a moving target (ship) allow us to
calculate the target's velocity. In a case under study, the radial component
of the ship's velocity accounted for 0.4 V s and the eastward shift of the ship
relative to its wake (spill) caused by this component was estimated with a
large error, that hindered the accurate determination of ship velocity. Thus,
assume that V s = 25 km h -1 .
The maximum displacement from line AB was observed in area C , east
of Lutao (Figure 1b). This displacement was most likely caused by an east-
ward component of the Kuroshio Current. The shape of the spill in area C
is similar to the shape of feature 4 . The interaction of the Kuroshio flow
with Lutao and underwater rising around it were responsible for the ap-
pearance of both feature 4 and the eastward component of the current. The
change in velocity of this component with distance manifested itself as the
shape of departure y ( x ). The maximum displacement was found at a dis-
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