A Nuclide Transfer Model for Barriers of the Seabed Repository Using Response Function

응답함수를 이용한 해저처분장의 방벽에 대한 핵종전달 모델

  • Published : 1996.04.01

Abstract

A nuclide transfer by utilizing mass transfer coefficient and barrier response function defined for each barrier is proposed, by which the final nuclide transfer rate into the sea water can be evaluated. When simple and immediate quantification of the nuclide release is necessary in the conservative aspect, using this kind of approach may be advantageous since each layered barrier can be treated separately from other media in series in the repository system, making it possible to apply separate solutions in succession to other various media. Although one disadvantage is that while flux continuity can be maintained at the interface by using the exit nuclide flux from the first medium as the source flux for the next one, there may be no guarantee for concentration continuity, this problem could be eliminated assuming that there is no boundary resistance to mass transfer across the interface. Mass transfer coefficient can be determined by the assumption that the nuclide concentration gradient at the interface between adjacent barriers remains constant and barrier response function is obtained from an analytical expression for nuclide flow rate out of each barrier in response to a unit impulse into the barrier multiplied by mass transfer coefficient. Total time-dependent nuclide transfer rate from the barrier can then be obtained by convoluting the response function for the barrier with a previously calculated set of time-varying input of nuclide flow rate for the previous barrier.

해저에 건설된 방사성폐기물 처분장 방벽에서 핵 종 전달을 평가할 수 있는 한 모델이 제시되었다. 방벽의 출구에서의 물질전달계수와 각 방벽에 대하여 정의된 방벽응답함수를 이용하여 이들 방벽으로부터의 핵종의 전달률을 구할 수 있다. 이러한 접근은 단순하고 즉각적인 계산결과가보수적인 측면에서 요구되어지는 경우 방벽들을 연속된 별개의 매질로 다루어 각각의 응답함수를 적용할 수 있기 때문에 유용하다. 단점으로는 인접한 두 방벽사이에서, 이전의 방벽으로부터의 핵종의 유출율이 연속되는 방벽으로의 유입율로 되어 핵종속은 보존되는 반면 핵종의 농도는 반드시 보존되지는 않는다는 것으로, 이는 두 방벽 매질의 경계에서 핵종전달저항이 없다고 가정할 수 있는 것으로 해결될 수 있다. 물질전달계수는 방벽의 출구 쪽 경계에서의 핵 종의 농도가 일정하다고 보아 구할 수 있고, 매질의 응답함수는 각 방벽에 대하여 핵종의 단위 펄스입력에 대해 경계에서의 농도에 대한 해를 구한 후 물질전달계수를 적용하여 얻을 수 있다. 이리하여 한 방벽매질에 대한 시간 종속적인 핵종의 총전달률은 응답함수에 이전의 방벽에 대해 계산된 핵종의 전달률을 컨볼루트하여 구할 수 있다.

Keywords

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