Geoscience Reference
In-Depth Information
from the equator, and in deep layers the water
flows in the opposite direction
(Fig.
1.27
). Over each water basin, the atmosphere is simulated by a point model.
The carbon exchange between the zones of the atmosphere takes place due to
advection H
i
fl
and turbulent diffusion H
i
:
cos
H
i
¼ H
i
þ
H
i
H
i
¼ 2
R
0
h
a
V
i
C
i
C
i
þ
1
;
ð
i ¼ 1
:
14
Þ;
p
/
i
;
cos
H
i
¼½2
R
0
A
h
h
a
=D/
i
C
i
C
i
þ
1
p
/
i
;
where C
i
¼ M
i
=
V
i
is the concentration of carbon in the i-th zone of the atmo-
sphere, M
i
is the carbon mass in the i-th zone of the atmosphere, V
i
is the volume
of the i-th zone of the atmosphere, R
0
is the Earth
˕
i
is the latitude of the
southern boundary of the i-th zone, h
a
is the altitude of the atmosphere (10 km), Vi
i
is the average velocity of the meridian transport of air masses in the atmosphere
(0.2
'
is radius,
cient (10
5
m
2
/s).
The CO
2
exchange on the atmosphere-ocean border is described by the tradi-
tional law:
1.0 m/s), A
h
is the coef
-
;
H
a0
i
¼ k
ð
u
i
Þ
P
i
P
i
where
P
i
¼ k
a
M
i
RT
i
S
1
1
l
;
i
cient depending on wind speed, P
i
and P
i
are partial
pressures of CO
2
in the i-th zone of the atmosphere and the ocean respectively, k
a
is
the share of the 100 m air column mass in the mass of a 10 km column (
k(u
i
) is the proportion coef
≈
0.01602),
), T
i
R is the universal gas constant (8.31451 J/mol/
is the air temperature at the
К
, T
as
i
level of the ocean in the i-th zone T
i
¼ T
as
T
i
þ D
is the seasonal temper-
i
T
i
is the average annual change of air temperature caused by
the increased CO
2
content in the atmosphere.
A SST change is assumed to take place in phase with a change of air temperature
by the same value:
ature component,
D
T
i
¼ T
os
T
i
þ D
i
The partial pressure of CO
2
dissolved in the surface waters is proportional to its
concentration in the water and inversely proportional to its solubility. This
dependence is established by solving the system of Eqs. (
4.12
) and (
4.13
) that
describe the functioning of the ocean carbonate system. For the quantitative solu-
tion of this system one can use, for instance, the methods of secants. As a result, we
obtain [CO
2
] and P
i
. Based on the data on the temperature dependence of the
equilibrium constants for the respective chemical reactions, we
nd:
;
P
i
¼ P
i
C
i
;
T
i
i ¼ 1
:
14
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