.. _section-10.1:

Introduction and Overview
-------------------------

The Integral Fast Reactor (IFR) Program [10-1] at Argonne National
Laboratory is developing an advanced liquid-metal-cooled nuclear reactor
(LMR) that uses U-Pu-Zr metallic alloy fuel due to a number of safety
and economic benefits. The post-irradiation examination of U-Pu-Zr fuel
pins irradiated in EBR-II shows the formation of three annular zones
(central, middle and outer) of considerably different alloy
compositions, fuel porosities and densities [10-2, 10-3]. The uranium in
the fuel migrates from the central and outer zones to the middle zone,
and the zirconium and fission products migrate in the opposite
directions, i.e., from the middle zone to the central and outer zones
[10-3]. Due to zirconium depletion the middle zone has a solidus
temperature significantly lower than that of the central or outer zone.
The zonal fuel densities have been measured to vary from about 8000
kg/m\ :sup:`3` in the central zone to about 16000 kg/m\ :sup:`3` in the
middle zone [10-3]. The average porosity of each zone is also found to
be significantly different from each other [10-4]. This radial
redistribution of fuel constituents and annular zone formation has a
considerable effect on the thermal behavior of U-Pu-Zr fuel pins because
the thermal conductivity, specific heat and density of the fuel all vary
with composition and porosity. The radial power shape within the fuel
pin is also changed by fissile (i.e., U and Pu) redistribution.

During steady-state irradiation, the buildup of fission gas within the
metal fuel produces considerably more fuel swelling than is observed in
oxide fuel. As the steady-state irradiation proceeds in metal fuel, the
fission gas is initially all retained in the fuel matrix. Grain boundary
bubbles gradually form, producing fuel swelling. As the porosity
continues to increase, the grain boundary bubbles can become
interlinked, producing a long-range interlinked porosity that offers a
path for fission gas release to pin plenum [10-4]. When metallic fuel
was first used in EBR-II, a peak burnup of only 1 at. % was considered a
reasonable objective because of the extensive fuel swelling caused by
grain boundary bubbles. Once it was determined that this "breakaway"
swelling appeared to be self-limiting, and if enough space (~25 to 30%
of fabricated fuel volume) was provided in the fuel-cladding gap, the
result was very little stress on the cladding and high burnups could be
achieved [10-5]. In order to calculate the steady-state behavior of
metal fuel, it is therefore necessary to model the fuel swelling due to
grain boundary bubbles and the associated fission gas release in a
consistent manner.

Listed below are the important in-pin phenomena (including the two
described above) occurring during steady-state irradiation, that need to
be modeled in order to characterize a U-Pu-Zr fuel pin at the beginning
of a transient calculation:

1. Thermal expansion of fuel and cladding,

2. Fuel constituent radial migration,

3. Fission gas behavior, and porosity formation and distribution,

4. Irradiation-induced radial and axial swelling of fuel and cladding,

5. Bond sodium migration into fuel and pin plenum,

6. Cladding constituent migration into fuel.

The modeling of these phenomena in the SSCOMP module will provide SAS4A
and SASSYS-1 codes with the capability to describe the transition of the
fuel pin form cold clean as-manufactured conditions to hot irradiated
swollen initial conditions for the transient fuel mechanics module FPIN2
[10-6]. The modeling of the following aspects of fission gas behavior
(phenomenon 3 listed above) is required for calculating the initial
conditions of FPIN2 transient calculation: (a) fission gas generation,
(b) fission gas retained within grains, (c) fission gas retained in
grain boundary bubbles that are not linked, (d) fission gas contained in
grain boundary bubbles that are interlinked, and (e) fission gas
released to pin plenum. The need for modeling these three types of
fission gas contained in fuel (gas within grains, in unlinked grain
boundary bubbles, and in interlinked grain boundary bubbles) has also
been expressed by the pre-failure in-pin fuel motion module PINACLE
development [10-7]. Regarding irradiation induced fuel swelling
(phenomenon 4 listed above), axial swelling will contribute to
pre-transient fuel column length, a needed initial condition for the
FPIN2 module. Radial swelling of fuel and cladding will determine
fuel-cladding gap closure and bond sodium migration into pin plenum, a
needed initial condition for the FPIN2 module. The modeling of fuel
swelling phenomenon has two important aspects: swelling due to solid
fission products, and fission gas-induced swelling. Swelling of a
cladding material is mainly determined by neutron fluence which is also
a parameter in determining cladding rupture life used in the FPIN2
transient fuel mechanics calculation.

The SSCOMP module is being developed to model the above listed in-pin
phenomena during steady-state irradiation of metallic fuel pins. After
the fuel pin has been characterized at the end of steady-state
irradiation, the calculation of the relevant ones of these phenomena
during the transient will be performed by the DEFORM-5 model. The
purpose of this chapter is to present the current status and future
modeling needs of the SSCOMP module. As discussed in :numref:`section-10.2`, the
zone formation calculation method of the earlier SSCOMP model [10-4] is
not incorporated into SAS4A/SASSYS‑1 Version 3.0 code due to its
limitations. The study of fuel constituent radial migration leading to
zone formation was not at that time developed to a state where an
appropriate dynamic model could be developed. At present, the data
needed to account for the effects of zone formation on pin transient
temperature calculation are specified through input data controlled by
the input parameter IFUELC. As a starting point for SSCOMP development,
:numref:`section-10.3` describes thermal properties of U-Pu-Zr metallic alloy fuel
as a function of composition and temperature. These properties are
needed in the analysis of the Mark-V fuel (U-20Pu-10Zr), and other
metallic alloy fuels of different compositions, especially the different
fuel compositions across the pin radius resulting from fuel constituent
migration during steady-state irradiation. The implementation of the
thermal properties data of the IFR Metallic Fuels Handbook [10-8], using
a method of regionwise interpolation, is an important part of :numref:`section-10.3`. Thermal properties of mixed-oxide fuel are described in :numref:`section-3.15`, and not here. Future directions for modeling efforts are discussed
in :numref:`section-10.4`.