Nabarlek Pit decommissioning migration of sulphate, nitrate and radium ions in groundwater - preliminary modelling
E-Publications; E-Books; PublicationNT; Report ; 41/1984
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Dept. of Transport and Works
Report ; 41/1984
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Technical Report WRD84041 Viewed at 14:07:09 on 29/07/2010 Page 6 of 34. I ----~ I I I I I I I I I I I I I I I I I I I under steady state conditions the following mass balance resul ts for the volume contained bebveen points P and Q: ~ radium lost up to point Q = radium lost at P + radium lost in dV. ie. G(y+dy) = Gy + rdV ie. rdV = Gdy V = fdV r ie. V = Gil dy ) v r (l) The volume of tube reauired to remove fraction X of the original radium is given by: x ~ V J = G: 1 dy } ( 2 ) '"" r The sorption of radium is a first order rate process. The term r can also incorporate radioactive decay, since this is also a first order rate process. ie. r = k [Ra 1 (3 ) where k = a combined rate constant for the adsorption and decay of radium [Ra]= concentration of radium in solution Rearranging: r = k (l-y) ( 4) substituting into (2) : V G X i - f dy 0 1-y ie. x.n = Vk 1-X G ( 5 ) SA2/11 :TJ ; -'
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