J. Vujic et E. Greenspan, NEUTRONIC ANALYSIS OF CRITICAL CONFIGURATIONS IN GEOLOGIC REPOSITORIES - II - HIGHLY ENRICHED URANIUM, Nuclear science and engineering, 129(1), 1998, pp. 1-14
Neutronic characteristics are investigated of critical configurations
consisting of U and moist rock, which may be formed if large enough qu
antities of highly enriched U (HEU) are released, transported, and dep
osited in the rock below the repository. A companion study investigate
d neutronic characteristics of similar critical configurations consist
ing of weapons-grade Pu (wPu) and moist rack. Two modes of U depositio
n are considered: uniform homogeneous and heterogeneous. The latter is
assumed to be of the form of thin planar deposition layers separated
by relatively thick slabs of rock, making a constant pitch lattice. Th
ree neutronic characteristics are examined: the critical U loading, an
d the variation, with the change of operating conditions, of the multi
plication factor k; the time-eigenvalue alpha; and the effective neutr
on generation time Lambda. They are compared against the characteristi
cs of the corresponding wPu-rock systems. The study is done parametric
ally by solving time-independent transport equations. The effect of va
rious mechanisms (including water removal, U and rock temperature incr
ease, homogenization of fissile and rock materials, and the system exp
ansion) on the neutronic characteristics is studied independently. A s
urprising finding is that heterogeneous depositions of HEU in moist ro
ck can have a positive reactivity feedback due to spectrum hardening.
Moreover the magnitude and temperature dependence of heterogeneous U-r
ock systems can be comparable to those of Pu-rock systems despite the
fact that they are due to entirely different mechanisms: reduction in
the spatial self-shielding in the HEU systems compared with an increas
e in the effective fission-to-absorption cross-section ratio in the wP
u systems. It is concluded that heterogeneous HEU deposits in moist ro
ck can be just about as autocatalytic as critical wPu deposits but req
uire approximately twice the critical mass. Three mechanisms were foun
d to have a potential for a large positive reactivity insertion: water
removal, rock temperature increase, and homogenization. The magnitude
of each of the three positive reactivity feedbacks in the HEU systems
is similar to the magnitude in the corresponding wPu systems.