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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