Information-Modeling Technology for the Environmental Monitoring - New Ecoinformatics Tools in Environmental Science: Applications and Decision-making - page 105

2 H2SOU
@

@ H2SOU

@

þ v z @

H2SOU
@

þ k z @

¼ H 21 þ H 23 H 4 H 22 ;

t z z 2

2 H2SOD
@

@ H2SOD

@

þ v z @

H2SOD
@

þ k z @ ¼ H 17 H 18 H 21 ;

t z z 2

2 SO4OD
@ z 2

@ SO4OD

@ t

þ v z @

SO4OD
@ z

þ k z @ ¼ H 18 H 19 H 20 ;

2 DU
@

@ DU
@ t þ v z @ DU z þ k z @

¼ H 14 H 15 H 23 ;

@ z 2

2 DD
@ z 2

@ DD

@ t þ v z @ @ z þ k z @

DD

¼ H 15 H 16 H 17 ;

2 FI
@

@ FI
@ t þ v z @ FI z þ k z @

z 2 ¼ H 13 H 14 ; @

BOT
@ t ¼ H 16 þ H 19 ;
where v z is the velocity of the vertical water motion in the ocean, m day − 1 ; k z is the
coef

@

cient of the turbulent mixing, m 2 day − 1.
The equations of the MGBS item in each cell of the spatial division of the ocean
surface are supplemented with initial conditions (Table 1.17 ). The calculation
procedure to estimate the sulfur concentration consists of two stages. At each time
moment t i ,

Ξ ij , the equations of the MGBS item are solved by the
method of quasi-linearization, and all

first for all cells

reservoirs of sulfur are estimated for

t i+1 = t i + t is chosen from the condition of convergence of

the calculation procedure. Then at the moment ti+1 i+1 with the use of the climate unit
of the global model these estimates are speci

ʔ t, where a time step ʔ

ed with account of the atmospheric

transport and ocean currents over the time t.

The sulfur supplies in the reservoirs are measured in mg S m − 3 , the sulfur

ʔ

uxes
have the dimensionality mg S m − 3 day − 1 . The sulfur supplies in the water medium
are calculated with the volumes of the compartments

fl

ʩ ijk taken into account. To
estimate the sulfur supplies in the atmosphere, it is assumed that an effective
thickness of the atmosphere h is an input parameter either introduced into the model
by the user or prescribed as the constants from Table 1.17 , or received from the
climate unit of the global model. The quantitative estimates of the

fluxes in the
right-hand parts of the equations are obtained in different units of the global model.
The anthropogenic

fl

fl fluxes of sulfur H 1 , H 6 , C 2 , C 6 , and C 10 are simulated in the unit

of scenarios. The uxes H 3 , H 5 , H 9 , C 1 , C 5 , and C 20 are prescribed either by the

climate unit or formed in the unit of scenarios. The accuracy of different functional
presentations of the

fl

fl fluxes in the equations of the MGBS item corresponds to the

accuracy of similar fluxes of the biogeochemical cycles of hydrogen, phosphorus,

and nitrogen. The rate of emission of H 2 S into the atmosphere at humus

fl