DOE OSTI2015
This article focuses on the very usual case of the fissile mass control inside a controlled geometry, whatever the fissile density in the fissile-moderator mixture is. Although this case is very usual (maximal loading of fissile material in a transport cask, maximal fissile content in a 'geometrically favorable' tank, etc.), some unexpected behaviors ('anomalies') may be met, leading to important nuclear criticality safety issues. This article will show the three following anomalies and the associated safety issues: - the 'non-smooth' variation of the minimum critical mass for a small variation of the geometry size (a cylinder case is considered throughout this article), - the very important differences in critical values, for intermediate-size geometries, between two fissile media having very close minimum critical masses and dimensions, - the change in the hierarchy of different fissile media when the size of the geometry changes. The next part of the article will demonstrate that these anomalies are, from a physics point of view, due to the nature of the fissile material and, from a methodology point of view, due to the fact that this 'Mass- Geometry Control' problem is generally solved without looking at the critical mass for the whole range of geometries. The latter happens because this whole resolution is not trivial and requires either a lot of calculations or human effort to estimate the mass limits as a function of the geometry. Another article will discuss this question of the 'whole' resolution of the problem. (authors)