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FIG. II-1. Schematic diagram of the activity transfer processes in POSEIDON model.
POSEIDON equations are obtained by averaging the 3-D transport equation for the dissolved
radionuclide concentration Cw (Bq/m3) and the concentration in the three layers of the bottom
sediment. It is assumed that the activity in the water column is partitioned between the water
phase and the suspended sediment material, using the following relation:
?? = ???? (II-1)
where Cs (Bq/kg) is radioactivity concentration adsorbed in suspended sediment, kd is the
radionuclide distribution coe?cient (m3/kg). The equation for the water column layers read as
follows:
???,?
??
=? ???,?
??,?
??,? ?
??,?
??,?
??,??
?
+ ??,???(?,?,???) ? ???,? + ????,? +
??,?
??
???? + ??,? (II-2)
For the top sediment layer:
???
??
= ?(?? + ?? + ?)?? +
??
??,?
??,???,? +
??,?
??,?
???? (II-3)
and for the middle sediment layer:
???
??
= ?(?? + ?? + ?)?? +
??,?
??,?
???? (II-4)
where Fi,j is the water ?ux from box i to box j; V0 is the box volume; hi is the depth of the water
compartment; Lt and Lm are the depth of top and middle sediment layers respectively; Q is the
point source of the activity; ?1 ... ?5 are the transfer coe?cients, whose values depend on the
characteristics of the radionuclide and sediments.