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DESCRIPTION OF THE JAEA: SEA-GEARN MODEL
The SEA-GEARN model [IX-1] is a particle random-walk model which has been used to
simulate radionuclide transport in the Pacific Ocean. SEA-GEARN uses 3-D velocity data
calculated by an ocean general circulation model as the input variables. If non-conservative
radionuclides are concerned, the interactions with particulate matter need to be considered. In
order to take these situations into account, a new model that solves three-phase interaction
[IX-2], was adopted in SEA-GEARN. Radionuclides are assumed to exist in three phases, such
as dissolved, large particulate matter (LPM) and active bottom sediment, respectively. This
model has the following assumptions: (i) the LPM is an aggregate which has a single radius and
density; and (ii) the movement of each particle is governed by velocity, di?usivity and settling
velocity of the particle itself.
Moreover, the following assumptions are also made: (i) the dissolved phase consists of
radionuclides that are dissolved and adsorbed onto fine (diameter < 0.8 µm) particles without
settling velocity; (ii) the LPM phase consists of radionuclides that are adsorbed on settling
suspended particles; (iii) the active bottom sediment phase consists of radionuclides which are
adsorbed on the LPM phase and deposited on the seabed. These particles may resuspend
according to the bottom water velocity. Kinetic transfer coe?cients are used for the calculation
of adsorption/desorption between dissolved phase and LPM phase or between dissolved phase
and bed sediment phase [IX-3].
The radionuclides migration model for the dissolved phase is written as:
?(??)
??
+ ?(???)
??
+ ?(???)
??
+ ?(???)
??
= ?
??
???
???
??
? + ?
??
???
???
??
? +
?
??
???
???
??
? ? ????? + ?????? ? ??? + ?? (IX-1)
where Cd is the dissolved phase radionuclide concentration, u, v and w are the 3-D current
velocity components and Kh and Kz are the horizontal and vertical di?usion coe?cients,
respectively. The fourth term of the right hand side is the adsorption from dissolved phase to
the LPM phase, the fifth term the desorption from the LPM phase to dissolved phase, k1m and
k?1 are the kinetic transfer coe?cient for the LPM, Cs is the LPM phase radionuclide
concentration, m is the LPM concentration, ? is the decay constant and Pd is the input of
dissolved radionuclides from the source point. The surface boundary condition is:
??? ? ??
???
??
= 0 (IX-2)
The sea bottom boundary condition is:
??
???
??
= ????? ? ???
??????(???)
?
(IX-3)
where k1s is the kinetic transfer coe?cient for the active bottom sediment phase, As is the active
bottom sediment phase radionuclide concentration, L is the mean mixing depth of the active
bottom sediment, ?s is the bulk density of the active bottom sediment, f is the fraction of active
bottom sediments, p is the porosity and ? the thickness of the water layer which interacts with
the active bottom sediment phase.