Geoscience Reference
In-Depth Information
Fig. 6.13 Annual
fl
flow rate through the Irkutsk dam for the years 1991
1995
-
dg k
dt ¼
62 t 2 ;
½
0 when t
t 3
:
ð 6
:
21 Þ
B k when t 2 t 2 ;
½
t 3
For t 2 t 3 ;
½
t 4
the value of g k (t,
φ
,
ʻ
) is decreased linearly from g k (t 3 ,
φ
,
ʻ
)tog k (t 4 ,
φ
) = 0. The functional representation of the other blocks from Table 6.13 is realized
at times ti i i ¼ 1
,
ʻ
ð Þ by values which are given by the user under the scenario
realization. The dynamics of pollutants in the AYRS is determined by the structure of
its hydrological regime, which takes into account the transport of pollutants by water
motion and their accumulation in sediments, ice, snow and the living biomass. The
pollutant types are divided into radio nuclear elements and heavy metals. The set of
radio nuclear pollutants is described by the index
; ... ;
4
. The set of heavy metals is divided
into particles (index e) and the dissolved fraction (index ˈ ).
The v-th radionuclide is characterized by its half-life t ʽ , by the rates H k ʽ of input
to and output from the area
ʽ
; ... ; ð Þ and by the concentrations Q ʽ , E ʽ , ʞ ʽ
and S m in the water, soil, sediments and ground water, respectively. As a result, the
main balance equations of the RAK block are written in the form:
X k k ¼ 1
D k @ Q k ;m
@ t þ l k @ Q k ;m
¼ H 1 ;m þ H 2 ;m þ H 3 ;m H 4 ;m H 5 ;m þ H 6 ;m
@ x
ð 6
:
22 Þ
ln 2
t m D k Q k ;m
H 7 ;m þ q k H 12 ;m
d k @ E k ;m
ln 2
t m
ð 6
:
23 Þ
@ t ¼ H 8 ;m þ H 4 ;m þ H 9 ;m H 10 ;m þð 1 q k Þ H 12 ;m d k E k ;m
w k @N k ;m
ln 2
t m
@ t ¼ H 5 ;m H 6 ;m w k N k ;m
ð 6
:
24 Þ
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