Appendix A ESTIMATED 3J0-YEAR INTEGRAL DOSE VS RATE OF REMOBILIZATION FROM DOME The total stock of transuranics present at any time in the due to leaching from the dome can be estimated by assuming that: rate of remobilization is proportional to the quantity of tra remaining in the dome and the remobilized transuranics are r by tidal flushing from the lagoon with a turnover time t. This problem is mathematically analagous to a two-stage radioactive decay pravess in which the increased standing stock in the lagoon is analagoug] to the amount:‘cf the intermediate nuclide present. If remobilization Place with an effective half-life T, then the increased standi 4S is given by: takes stock 4S = TAC, etent/*| {atk where »4 = 0.693/T. If it is assumed that the dose rate from marine foods is pr ttional to the standing stock of transuranics in the lagoon (thi effectively is the usual "concentration factor” assumption), th@n the extra 30-year dose from 4S can be written as: ‘D39 «= DR S 9 30 Sf (AS)dt OE 4D3q = TDCe (1797304) =e (2-930!) SS 39