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by plankton H
Z
and by nekton H
F
, sedimentation of the
solid fraction H
1
, deposition with the detritus H
D
, adsorption by detritophages
from bottom sediments H
e
L
, and release from bottom sediments owing to the
diffusion H
e
w
dissolved fraction
ˈ
a
. As a result, the dynamic equations for the heavy metals become:
@
Z
¼
X
3
i¼1
a
@
e
w
u
@
e
w
@
@
k
þ
v
z
@
e
w
e
w
@
t
þ
v
W
@
u
þ
v
W
i
2
Q
i
e
w
H
1
þ a
1
H
e
w
k
a
@w
w
@
u
@w
w
@w
w
@k
þ
v
z
@w
w
þ
k
2
@
2
w
W
t
þ
v
W
þ
v
W
k
Þ
H
e
w
a
@
Z
¼ 1
a
1
ð
@u
@
z
2
H
Z
H
F
H
D
H
a
e
@
@
t
¼ H
1
a
1
H
e
L
þ
H
e
w
;
a
@
t
¼
H
D
ð
1
a
1
Þð
H
e
L
þ
H
e
w
@w
Þ
a
where e
e
ðÞ
and
wðÞ
are the concentrations of heavy metals in the bottom
sediments (water) as solid and dissolved phases, respectively; H
a
is the output of
heavy metals from the sea to the atmosphere by evaporation and spray; Q
i
e
w
w
is the
input of heavy metals to the sea with river waters (i = 1), atmospheric deposition
(i = 2) and ship
'
is wastes (i = 3);
a
i
2
is the part of the suspended particles in the ith
n
o
is the
v
w
u
;
v
w
k
;
v
z
a
1
is the part of the
fl
flow of heavy metals; V ¼
fl
flow velocity, and
solid fraction of heavy metals in the bottom sediments.
The MTP block simulates high and low tide processes that are subjected to the
periodic law with time
˄
of the water mass moving across the estuary border
ʓ
with
velocity
V
ðu; k;
t
Þ
¼V
C
ðÞ
¼V
max
cos½
p
j
ð
t
t
max
Þ=s
j; u; k
ð
Þ
2 C;
t
max
s=
2
t
t
max
þ s=
2
;
where t
max
is time when velocity of water
fl
ow across
ʓ
reaches maximal value
V
max
.
Maximal change of the estuary depth is parameterized by the following formula:
z
p
ðu; k;
t
Þ
¼z
0
ðu; k;
t
Þþr
C
V
max
t
=ð
2
rÞ
where
˃
ʓ
is integral value of area for the estuary input section located along
ʓ
, z
0
is
the depth at the time of the tide
finishing.
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