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\newcommand{\AI}{\hbox{ARIES-I}}
\newcommand{\AII}{\hbox{ARIES-II}}
\newcommand{\AIII}{\hbox{ARIES-III}}
\newcommand{\TI}{\hbox{TITAN-I}}
\newcommand{\TII}{\hbox{TITAN-II}}
\newcommand{\VTS}{\hbox{V-3Ti-1Si}}
\newcommand{\VCT}{\hbox{V-15Cr-5Ti}}
\newcommand{\HT}{\hbox{HT-9}}
\newcommand{\degC}{$^\circ$C}
\newcommand{\SdegC}{$\,^\circ$C}
\newcommand{\SPL}{MgAl$_2$O$_4$}
\newcommand{\AlO}{Al$_2$O$_3$}
\newcommand{\LNO}{LiNO$_3$}
\newcommand{\Z}{\phantom{0}}
\newcommand{\D}{\phantom{.0}}
\newcommand{\Y}{\phantom{$\sim$ }}
\newcommand{\X}{\times}
\newcommand{\Dtf}{\hbox{$\Delta T_f$}}
\newcommand{\Dtw}{\hbox{$\Delta T_w$}}
\newcommand{\WR}{\hbox{W-26Re}}
\newcommand{\LZ}{Li$_2$ZrO$_3$}
\newcommand{\LS}{Li$_4$SiO$_4$}
\newcommand{\LO}{Li$_2$O}
\newcommand{\blank}{$\underline{\qquad\qquad\qquad}$}

\title{\bf 6.~~TRITIUM SYSTEM}
\author{
\hbox to \hsize{
\hbox to 2.truein{      Dai-Kai Sze            \hfil}\hfil
\hbox to 2.truein{\hfil Shiu-Wing Tam          \hfil}\hfil
\hbox to 2.truein{\hfil Michael Billone        } } \\ 
\hbox to \hsize{
\hbox to 2.truein{      Clement P.~C.~Wong     \hfil} \hfil
\hbox to 2.truein{\hfil Rodger C.~Martin       \hfil} \hfil
\hbox to 2.truein{\hfil Farrokh Najmabadi      } } \\ 
\hbox to \hsize{
\hbox to 2.truein{                             \hfil } \hfil
\hbox to 2.truein{\hfil J.~Stephen Herring     \hfil } \hfil
\hbox to 2.truein{\hfil                        } } \\
}
\date{ }
\maketitle

\begin{titlepage}
{%baselineskip=1.8ex
\tableofcontents
}
\end{titlepage}

\setcounter{page}{1}

\chapter{TRITIUM SYSTEMS}

\section{INTRODUCTION}
\label{s-6-1}
 
The design of the \AI\ tritium system is focused on reducing the
tritium inventory and simplifying the design. However, because of the
material selection and system configuration, some new problems have been
uncovered during this study and they are documented here. Further
work, both theoretical and experimental, will be required to address these
problems. Because of its small size, the cost of the tritium system will be of
secondary importance.
 
The largest tritium unit in a DT fusion reactor is the plasma-exhaust 
processing system. The throughput of the \AI\ plasma exhaust is reasonably
small because of the high tritium burn fraction (19.3\%). A batch operation
unit, such as the molecular sieve or cryogenic pump, usually has large tritium
inventory. Therefore, we use a Pd diffuser for separating hydrogen isotopes
from the waste, and we use a turbo-molecular pump for pumping the exhaust. 
Another unit that has large tritium inventory is the cryogenic distillation
(CD) unit. In a conventional fuel-exhaust process, a CD unit is required to
separate the D and T. In the \AI\ study, we use the CD only to separate the H
from D and T while keeping the D:T ratio at 1. This will reduce the tritium
throughput to the CD by a factor of 10. The tritium inventory in the CD unit
will be reduced correspondingly. The number of CD columns will also be
reduced, from 4 to 1.
 
The tritium inventory and plasma-driven permeation in the first wall and in the
impurity control system are always of concern in a fusion reactor design. This
problem may even be more severe here because of the selection of the structural
material, silicon carbide (SiC). In SiC, the tritium diffusivity is very low
and the solubility is very high, especially at low temperatures~\cite{Cau78}. 
The tritium inventory in the SiC due to the pressure-driven permeation does
not appear to be a serious problem because of the slow kinetics on the surface
and the low diffusivity. However, the kinetic energy of the plasma particles
will drive the tritium into the SiC where it will remain. To minimize the
tritium inventory in the SiC, the material temperature is kept above
750\SdegC. To reduce the tritium permeation to the divertor coolant, the
divertor target is made with a tungsten coating on the SiC-composite coolant
tubes.
 
Tritium inventory is also a concern in the breeding blanket. Because of the
high blanket operating temperature and the good tritium release characteristics
of \LZ, the reference breeding material, the tritium inventory in the breeding
material is calculated to be only 0.3~g. However, there is the potential of
high tritium inventory in the beryllium. Because of the intimate mixing of the
breeder and multiplier in the sphere-pac configurations and the proximity of
the SiC to the breeder, the tritium will be deposited by recoil in the
multiplier and the surrounding structure. This recoil-deposited  tritium will
diffuse back to the purge very slowly because of the low tritium diffusivity in
those materials and the formation of the oxides on the surface.  Since the
tritium release mechanism from Be is not clear, only an estimate of
tritium inventory is made at this time.
 
\section{DIVERTOR}
\label{s-6-2}
 
\subsection{Divertor Plasma Parameters}
\label{s-6-2-1}

The high power density and plasma temperatures in a fusion power reactor must
be reduced considerably in the divertor region to avoid sputtering where the
plasma contacts a material target surface. Evidence shows that this can be
accomplished with a divertor operating in the high recycling mode ({\it i.e.,}
exhibiting a high density and low temperature at the divertor target). The
high recycling mode at reactor-relevant parameters has not been demonstrated
experimentally. In this study, analytical and computational models,
calibrated to present-day experimental data and extrapolated to predict
reactor performance, are used.
 
The \AI\ design operates with high-recycling poloidal divertors in a
double-null configuration. The BRAAMS~\cite{Bra87} and EPIC~\cite{Vol89} 
\hbox{2-D} computational models, calibrated in the present-day experimental
regime, are used to predict the performance of the impurity-control and
particle-exhaust system. Both codes predict that for a mid-plane separatrix
electron density of $\sim$10$^{20}$~m$^{-3}$ (corresponding to a recycling 
coefficient of 0.98), the plasma temperature on the divertor target can be 
lowered to $\sim$20 to 25~eV and the peak heat flux on the divertor target is
$\sim$4.5~MW/m$^2$ (for a target inclination of 10$^\circ$ at the separatrix).
The low net particle efflux required, as described above for global particle
balance, is consistent with a relatively modest pumping rate. An estimate shows
that an effective pumping speed of 100~m$^3$/s is required for neutrals with an
average energy of 1~eV in the pumping ducts.
 
First-wall erosion rates were determined by assuming that the carbon is
sputtered from the SiC and the average sputtering yield is taken to be 0.04. 
No credit is taken for redeposition since the sputtered material is swept
towards the divertor. The sputtering contributions from D, T, and 
\hbox{$^4$He} are comparable and the total first-wall erosion is computed to be 
0.3~mm/y. The resulting carbon impurity concentration in the plasma is found
to be almost half of the DT plasma density at the first wall 
(\hbox{$\sim3.0\X 10^{18}$~m$^{-3}$}), while the overall carbon
concentration is less than 1\% of the core plasma density.
 
The divertor target plate is designed with a thin tungsten (W) coating on the
SiC-composite coolant tubes. Erosion of the W coating was determined for a
range of likely flux conditions predicted by the computational codes. The
nominal steady-state plasma solution resulted in an erosion rate of 2~mm/y. 
This is due entirely to the alpha particles, and a conservative value of 0.15 is
used for the ratio of net to gross erosion. A comparable contribution to
erosion could result from transient power fluxes to the target that are
consistent with experimental observations of present-day divertor operation. 
The resulting W concentration in the plasma was calculated and found to be
negligible. Implantation and permeation of tritium in the W target is found
to be small and to result in a negligible tritium inventory in the target.
 
The computational study indicates that the desired low-temperature divertor
plasma can be achieved with some caveats in the computational modeling and
assumption. Erosion of the SiC first wall and the W divertor target are at
acceptable levels for these solutions. It is assumed that these solutions are
valid steady-state solutions, although the uncertainty in achieving these
solutions remains. There are two key R\&{D} directions: (1)~improve the
computational model and reduce the uncertainty in the solution, and (2)~pursue
active techniques for controlling the edge-plasma region to ensure that the
high-recycle, low-temperature solution is attained.
 
The divertor parameters that are used in the tritium calculations are
summarized in \hbox{Table~\ref{t-6-2-1}}.
 
\begin{table}[tb]
\caption{}
\centering
{\bf ARIES-I Divertor Parameters}
\vspace{1.cm}
\renewcommand{\arraystretch}{1.3}
\begin{tabular}{l c}
\hline
&\hbox to 1.5truein{\hfil}\\
DT flux (m$^{-2}$s$^{-1}$)  & $3\X 10^{19}$ \\
Divertor area (m$^2$)       & 124 \\
DT energy (eV)              & 23.8 \\
W thickness (mm)            &  2.0 \\
SiC thickness (mm)          & 0.5 \\
W temperature (\degC)       & 985 \\
W/SiC interface temperature (\degC)       & 800 \\
SiC/coolant interface temperature (\degC) & 670 \\
\\ \hline
\end{tabular}
\label{t-6-2-1}
\end{table}
 
\subsection{Plasma-Driven Permeation}\nobreak
\label{s-6-2-2}
 
The plasma-driven permeation of tritium was a concern during the \AI\ study. 
Because of the high solubility and low diffusivity of tritium in 
SiC~\cite{Cau78}, the tritium inventory was calculated (by using the DIFFUSE 
code~\cite{Bas83}) to be few kilograms at the end of life of the first wall.
With a decrease in temperature, the tritium solubility increases while the
diffusivity decreases. Therefore, the tritium inventory problem will be even
more severe with a lower first-wall temperature.
 
The DIFFUSE code treats the structure with a stationary boundary. The first
wall of a fusion reactor, however, recedes because of the erosion and 
sputtering. If the erosion velocity is similar to or faster than the
diffusion velocity, then the DIFFUSE code does not apply. For such a case, the
implanted tritium will be released back to the plasma because of wall erosion
before it has time to diffuse toward the coolant ({\it i.e.,} because of the
sputtering and not the back-diffusion process). Thus, the tritium inventory
will be much less than the case with diffusion as the only mechanism.
 
The erosion rate of the first wall is calculated in Sec.~5.2
using the following assumptions. The DT flux to the first wall is
calculated to be \hbox{$3\X 10^{19}$~m$^{-2}$s$^{-1}$}, with an average ion
energy of 25~eV. The ion energy will increase to 80~eV when it strikes the
first wall.  The He particle flux is \hbox{$4.3\X 10^{18}$~m$^{-2}$s$^{-1}$},
with an energy of 140~eV when it strikes the wall. The first-wall erosion yield
is computed,  including the effects of the energy distribution of the
particles, by the IONSPUT code. The first-wall erosion is assumed to be limited
by the erosion of carbon from the SiC matrix, with an effective specific
gravity of C inside SiC of 1.5. No redeposition is assumed because the
sputtered material, once ionized, will be swept along the field lines to the
divertor target. The results of the erosion rate calculations are shown in
\hbox{Table~\ref{t-6-2-2}}.

\begin{table}[tb]
\caption{}
\centering
{\bf First-Wall Erosion Rates (mm/y)}\\
\vspace{1.cm}
\renewcommand{\arraystretch}{1.3}
\begin{tabular}{l r}
\hline
& \hbox to 1.5truein{\hfil}\\
Due to T      & 0.15 \\
Due to D      & 0.10 \\
Due to $^4$He & 0.07 \\
Total         & 0.32 \\
\\ \hline
\end{tabular}
\label{t-6-2-2}
\end{table}
 
 
The particle implantation depth is calculated using the ion transport code,
TRIPOS~\cite{Cho83}. The results indicate that the mean particle-penetration
depth is 1.1~nm. The lifetime of this penetration layer is, therefore, only
100~seconds. The first-wall surface area of \AI\ is about 700~m$^2$. The
tritium flux impinged on the first wall is \hbox{$1.5\X
10^{19}$~m$^{-2}$s$^{-1}$}.
Therefore, the maximum total tritium inventory in the first wall is only 6~g.
 
This is the first time that the effect of sputtering is included in the
plasma-driven permeation calculations. Since the back transport of the tritium
is enhanced by the sputtering process, the tritium inventory in the first wall
is much reduced, from a few kg to 6~g. The same methodology can be used to
calculate the tritium inventory in the divertor.
 
Tritium permeation through the divertor plate structure to the divertor coolant
is usually of serious concern. For the \AI\ design, SiC structural material
with a W coating is used for the divertor. The primary purpose of the W
coating is to reduce the sputtering. Of additional benefit is the reduction
in the forward tritium permeation, as well as reducing the tritium inventory. 
Because the diffusivity of tritium in W is much larger than in SiC, the
tritium preferentially diffuses backward to the plasma chamber rather than
forward across the SiC tube to the coolant. Based on the DIFFUSE code
calculations, the forward tritium diffusion to the coolant is essentially
zero. The tritium inventory in the structure, mainly inside the W coating, is
about 10~g.

\section{BLANKET}
\label{s-6-3}
 
\subsection{Blanket Parameters}
\label{s-6-3-1}
 
The reference \AI\ blanket design uses SiC composite as the structural
material, \hbox{10-MPa} helium as the coolant, \LZ\ as the solid tritium 
breeder, and beryllium-metal sphere-pac pellets as the neutron multiplier.
The blanket is segmented toroidally into 32 inboard and 32 outboard poloidal
modules. Each poloidal module comprises 17 nested, U-shaped, SiC-composite
shells, as discussed in Sec. 8. The sphere-pac solid-breeder and Be
neutron-multiplier mixture is located between the shells. Cylindrical
helium-coolant channels with 1-mm-thick walls are embedded in each of the 17
SiC-composite shells. The helium coolant enters and exits the blanket at,
respectively, 350 and 650\SdegC. The coolant enters the blanket from the inlet
plena which are located in the shield behind the blanket and reflector. It
then flows radially inward through the shells. It cools the shells while
flowing in the toroidal direction before it turns and flows radially back into
the coolant outlet plena. This routing configuration was selected to provide
adequate cooling of the blanket materials and to minimize the blanket pressure
drop. For the extraction of bred tritium, we use a separate helium-purge
stream at 0.4~MPa flowing throughout the breeder sphere-pac material. To form
the purge-flow stream, 1-mm-thick porous SiC-fiber sheets are brazed on each
side of the tube-bank-geometry coolant-channel shell. The triangular-shaped
channel that is formed between adjacent cylindrical coolant tubes and the
porous sheet becomes the purge flow channel. This allows the shortest flow
path ({\it i.e.,} half of the individual breeder-zone thickness) for the bred
tritium to migrate before it reaches a purge flow channel. The Li breeder and
Be multiplier sphere-pac is composed of 1- and 0.1-mm pellets. If these sizes
lead to excessive purge-flow pressure drop, a larger size combination of 1.5-
and 0.2-mm-diameter pellets will be acceptable. Radially, the blanket
comprises a 1.05-cm-thick first wall, \hbox{20-cm}-thick tritium breeding zone, 
10-cm-thick beryllium reflector, \hbox{38-cm}-thick SiC reflector, and 30-cm-thick SiC
reflector and plena. Details of different blanket-zone dimensions and material
compositions are give in Secs.~8.4 and 8.5. The summary of the outboard
blanket parameters given in \hbox{Table~\ref{t-6-3-1}} should also be
representative of the inboard blanket modules.
 
\begin{table}[p]
\caption{}
\centering
{\bf ARIES-I Blanket Design Parameters}
\vspace{1.0cm}
{\small
\renewcommand{\arraystretch}{0.85}
\begin{tabular}{l @{\hspace{1.truecm}} c}\hline \\
Coolant, helium at 10 MPa \\
\quad Inlet temperature (\degC)  & 350 \\
\quad Outlet temperature (\degC) & 650  \\
Radial zone thickness (cm) \\
\quad First wall              & \Z\Z 1.05 \\
\quad Breeder/multiplier      & 20.0 \\
\quad Beryllium reflector     & 10.0 \\
\quad SiC reflector           & 38.0 \\
\quad SiC reflector and plena & 30.0 \\
First wall: SiC composite \\
\quad Coolant channel inside diameter (cm) & 0.8  \\
\quad Coolant wall thickness (mm)          & 1.0 \\
\quad Thermal conductivity (W/K-m)         & 10. \\
\quad Temperature at top and bottom of the blanket module (\degC) \\
\quad\quad Minimum/maximum    & 553/878\Z \\
\quad Temperature at mid-plane of the blanket module (\degC) \\
\quad\quad Minimum/maximum    & 636/977\Z \\
Breeder zone: sphere-pac 80:20 vol \% mixture of Be and Li, \\
respectively. Two pellet sizes, 1 mm and 0.1 mm in diameter.$^{(a)}$ \\
\quad Characteristic thickness (cm)          & 1.1 -- 1.2 \\
\quad Effective thermal conductivity (W/K-m) & 4.6 \\
\quad Temperature at top and bottom of the blanket module (\degC) \\
\quad\quad Minimum/maximum    & 442/878\Z \\
\quad Temperature at mid-plane of the blanket module (\degC) \\
\quad\quad Minimum/maximum    & 471/873\Z \\
Be reflector zone: sphere-pac$^{(a)}$ \\
\quad Characteristic thickness (cm)   & 4.1 \\
\quad Effective thermal conductivity (W/K-m)            & 7.3 \\
\quad Temperature at top and bottom of blanket module (\degC) \\
\quad\quad Minimum/maximum    & 419/786\Z \\
\quad Temperature at mid-plane of the blanket module (\degC) \\
\quad\quad Minimum/maximum    & 446/843\Z \\
SiC reflector zone: sphere-pac$^{(a)}$ \\
\quad Minimum characteristic thickness (cm)  & 8.6 \\
\quad Effective thermal conductivity (W/K-m) & 7.2 \\
\quad Temperature at top and bottom of the blanket module (\degC) \\
\quad\quad Minimum/maximum & 429/903 \\
\quad Temperature at mid-plane of the blanket module (\degC) \\
\quad\quad Minimum/maximum & 461/1020 \\
\\ \hline
\noalign{\vskip 3.pt}
\multicolumn{2}{l}{$^{(a)}$SiC structure with cooling channel inside
diameter of 0.5~cm.}\\
\end{tabular}
}
\label{t-6-3-1}
\end{table}

\subsection{Blanket Tritium Inventory}
\label{s-6-3-2}
 
A tritium transport model for calculating the blanket tritium inventory in the
ceramic breeding material has been developed at ANL within the solid-breeder
base program~\cite{Kop88}. This model accounts for the effects of diffusion,
desorption, adsorption, and solubility. The input parameters to the model
include the dimensions of the breeding zone, neutron wall loading, tritium
production rate, volume fraction of the breeder and multipliers, temperature
distribution, and purge gas conditions. These input parameters are given in
previous sections and are consistent with the blanket configuration and
thermal-hydraulic design.
 
The desorption rate constant of tritium from \LZ\ has not been measured. The
ITER activity, however, recommended using the \LO\ desorption-rate
constant~\cite{Ite88}. The diffusivity of tritium in \LZ\ has been
reported~\cite{Oku89}. All other rate constants have been taken from the ITER
activity~\cite{Ite88}. The grain size of the material is not a material
property, but rather it is a requirement for material fabrication. A grain size
of 10 microns is assumed. With the input parameters established by the blanket
design and the material properties obtained by the experiments, the tritium
inventory is calculated based on a unit first-wall area (cm$^2$). The tritium
inventory is calculated at each of the three separate blanket zones and the
total tritium inventory is the sum over the three zones.
 
The tritium inventory in the breeding material is calculated to be \hbox{$8\X
10^{-9}$~mole/cm$^2$} of first-wall area, as shown on 
\hbox{Fig.~\ref{f-6-3-1}}. This corresponds to a total blanket-tritium
inventory in the breeding material of only 0.3~g. This small inventory is
caused by the good tritium-release characteristics, as well as the temperature
range \hbox{(442--878\SdegC)} of the selected breeding material. Another factor is
the relatively small mass fraction of the breeding material in the blanket. 
This small tritium inventory number is consistent with the U.S.\ ITER 
calculation~\cite{Ite88}, which gave a breeding material tritium inventory
of 0.11~g (more recent ITER calculations show a higher tritium inventory). The
steady-state tritium inventory is reached quickly ($\sim$3000~s), as shown
in \hbox{Fig.~\ref{f-6-3-1}}, and is consistent with the low blanket-tritium
inventory.
 
\begin{figure}[tb]
\vspace*{4in}
\caption[Fig-6-3-1]
{Tritium inventory in \AI\ breeding material.}
\label{f-6-3-1}
\end{figure}

The calculation summarized above is for tritium inventory in the breeding
material only. The \AI\ reactor has a very large Be mass fraction in the 
blanket, and the breeder and multiplier are intimately mixed in a sphere-pac 
configuration. For such a system, the following activities occur:
 
\begin{enumerate} \item  The Be is oxidized by the moisture in the purge gas
and also in the breeding material. In this way, Be is very similar to A$\ell$
which is also easily oxidized. BeO will form a tight and stable layer that will
prevent further oxidation. BeO will also prevent any tritium in the Be from
being released to the purge gas if the temperature is below 610\SdegC. Recent
experimental results show that rapid tritium release may occur if the
temperature exceeds 610\SdegC.
 
\item
Approximately 1\% of the tritium generated in the blanket is produced in the Be
and amounts to \hbox{$\sim$3~g} per full power day (FPD). Therefore, the
total tritium production due to the \hbox{Be(n,T)} reaction is
\hbox{$\sim$1.1~kg} per full power year (FPY).
 
\item
The tritium produced in the breeding material has a recoil energy of 2.5~MeV. 
Therefore, the tritium generated on the outside edge of the breeding material
will be released by this recoil energy. Since 80\% of the blanket volume is
occupied by the Be, we may assume that the breeding material is surrounded by
the Be. The tritium will thus be deposited inside the Be spheres. The
penetration depth of the 2.5-MeV tritium atom in \LZ\ is estimated to be
10~microns. The \LZ\ sphere diameter is 1~mm. Therefore, 6\% of the breeder
volume is within the 10-micron range, or 6\% of the tritium bred in this
volume can be released by the recoil energy. Assuming 3\% has sufficient
energy left for deposition, and half of that will be released outward toward
the Be, 4~g/FPD of tritium will be deposited inside the Be. This calculation
is very rough and should be considered as only an indication of the magnitude
of the problem. Therefore, the total tritium deposited into the Be is
estimated to be 1.4~kg/FPY.
\end{enumerate}

The tritium release mechanism from the Be is highly uncertain. There has been
only one measurement made of hydrogen diffusivity in Be, and that result is
questionable~\cite{Jon67}. The difficulty is to separate the effect of the
bulk diffusion inside the Be from the surface effect caused by the oxide. 
Transport and retention in Be has been highlighted as an ITER R\&{D} issue.
Experimental work (Hollenberg and Baldwin, PNL; and Longhurst, INEL) is 
underway.
 
Figure~\ref{f-6-3-2} summarizes data for tritium release from Be from three
different measurements \hbox{~[\citelist{Jon67}\,--\,\citelist{Bal90}]}. The
new data by Baldwin show very little tritium release (0.01\%--4\%) from the
irradiated Be in the temperature range of \hbox{300--510\SdegC}. At 610\SdegC,
however, there is a sudden burst of tritium released. For \AI\ calculations,
we are assuming that there is no tritium released below 610\SdegC\ and a
complete release of tritium above 610\SdegC. Since the existing experimental
results show contradicting release characteristics, this assumption needs to be
verified by the future experiments. It should be noted that this assumption is
different from that predicted by the ITER modeling, which is also included on
\hbox{Fig.~\ref{f-6-3-2}}.
 
\begin{figure}[p]
\vspace*{7.3in}
\caption[Fig-6-3-2]
{Fraction of ``trapped'' hydrogen isotope in Be as a function of annealing 
temperature for 25- to 100-h anneals of unirradiated Be soaked with 
tritium~\cite{Jon67} and 10-min anneals of deuterium-ion-implanted Be.}
\label{f-6-3-2}
\end{figure}

Since we are using the results from Baldwin, it is important to summarize the
experimental conditions. The samples of the experiment come from hot-pressed
Be material ($\sim$100\% dense, $\sim$2\% BeO content) that was irradiated to
\hbox{$\sim\!5\X 10^{22}$~n/cm$^2$} fast fluence ($\sim$2500~appm tritium and
$\sim$30,000~appm He) at low temperature ($\geq$75\SdegC) in ATR. Therefore,
both the tritium content and He content are much higher than that of \AI. The
high He content may be a very important factor in the tritium release. At room
temperature, this high He content exists in the form of individual atoms and
small bubbles. However, at elevated temperature ({\it e.g.,} 610\SdegC), the
He will migrate to grain boundaries, coalesce to form large bubbles, and form
interconnected pathways to enhance tritium release. Therefore, this tritium
release depends on the high helium content in the Be and this observed tritium
release with the high helium content of the ATR samples may not occur for Be
with less He content (as is the case for Be in the \AI\ blanket).
 
With the assumption that the tritium will be released from the Be with \hbox{$T
> 610$\SdegC}, it is possible to estimate the tritium inventory inside the Be.
The volume fraction of Be with temperatures below 610\SdegC\ is calculated to
be 25\%. The tritium produced in the Be is 1.15~kg/FPY, while the tritium
deposited inside the Be is 1.4~kg/FPY. Therefore, the total amount of tritium
retained inside the Be is 0.64~kg/FPY. If the blanket is heated above 
610\SdegC\ once a year while the plasma is down (or in partial power), the
maximum tritium inventory in the Be is then 0.64~kg.
 
\section{PLASMA EXHAUST SYSTEM}
\label{s-6-4}
 
The largest tritium unit in a DT fusion reactor is the plasma-exhaust
processing system. A conventional plasma-exhaust system uses a cryogenic pump
to pump the D, T, H, $^4$He, and impurities from the divertor channel. First,
the hydrogen isotopes are separated from the exhaust. Next, the isotopes of
hydrogen are separated from each other by the cryogenic distillation (CD)
process. The processing system involves a number of units that may have a
large tritium inventory ({\it e.g.,} CD pumps and columns). In addition, the
throughput of the tritium in the exhaust is usually large, often many times
larger than the burn rate in the plasma. The \AI\ design aims at reducing the
tritium inventory in this system by: (1) increasing the plasma burn fraction to
reduce the tritium throughput in the exhaust and (2) eliminating or modifying
the units that have large tritium inventories.

The plasma burn fraction for \AI\ is calculated to be 19.3\% (Sec.~3), which
is a factor of 7 higher than that of ITER. Even at this high burn fraction,
however, the tritium throughput in the plasma exhaust is still over four times
larger than the next largest tritium unit ({\it i.e.,} the blanket recovery
system). Therefore, it is important to reduce the tritium inventory and the
complexity of the plasma exhaust system. There are three components in this
system that usually have large tritium inventories:
 
\begin{enumerate}
\item
The cryogenic pumps, which operate in a pulse mode between the regenerating
time (tritium inventory is proportional to the pulse time);
 
\item
A gettering bed for tritium separation, which is often used to separate
hydrogen isotopes from the waste (also operates in a pulse mode); and
 
\item
The CD unit, which is used to separate H, D, and T (can be large because of the
large throughput and the high separation factor sometimes required).
\end{enumerate}
The complexity of the plasma exhaust system is primarily due to the 
multiple CD units and the equalizers required for the separation of H, D, and T.
 
A key concept developed in the \AI\ study is that of using the CD process to
separate only the H from D and T, while keeping the D:T ratio at 1. The fueling
to the plasma is by DT pellet injection and because the D:T ratio in the
exhaust is also 1, there is no need for separating D and T. The H is generated
by the DD reaction in the plasma. Since the DD reaction cross section is a
factor of 100 smaller than that of the DT reaction, the H production rate is
also a factor of 100 smaller than that of the $^4$He production rate. In order
to minimize the throughput to the CD unit, the H concentration in the plasma is
allowed to accumulate to \hbox{$\sim$1\%}. Even at this level of H 
concentration, the plasma impurity concentration is still dominated by He,
which is 10.7\%. For such a system, only 10\% of the plasma exhaust is required
to pass through the CD unit to remove H. Since no additional separation of
D\&T is required, one CD column is sufficient, compared with three or four CD
columns for a conventional fuel-processing system.
 
Because of the steady-state operation, a Pd diffuser is used to separate the
hydrogen isotopes from the $^4$He and other wastes (hydrogen will diffuse
through the Pd diffuser, while the other gases will bypass it). The
performance of a Pd diffuser in fuel cleanup has been
demonstrated~\cite{Bal90}. Waste processing is conventional ({\it
i.e.,} using an oxidizer to convert all of the T in the waste to the HTO form,
using a molecular sieve to separate HTO from other gases, and using a reduction
unit to reduce the HTO to HT which will then recombine with the hydrogen stream
from the Pd diffuser).
 
The cryogenic vacuum pump is another component that usually has a large
tritium inventory. This is caused by the pump's pulsed mode of operation. To
reduce the T inventory in the pumps, the \AI\ design uses turbo-molecular
pumps. Although a metallic turbo-molecular pump has to be shielded from the
magnetic field, a ceramic pump, which doesn't require shielding, is being
developed in Japan. At this time, the size of the pump is limited~\cite{Yos89}.
 
The flow diagram of the \AI\ plasma-exhaust processing system is shown in
\hbox{Fig.~\ref{f-6-4-1}} and the major parameters are listed on 
\hbox{Table~\ref{t-6-4-1}}. The tritium inventory in the CD unit is shown and
compared to that for ITER in \hbox{Table~\ref{t-6-4-2}}. By careful selection 
of the equipment and/or processes to be used in the plasma-exhaust
fuel-processing system, the tritium inventory in the system is minimized.
 
\begin{figure}[p]
\vspace*{7.7in}
\caption[Fig-6-4-1]
{\AI\ fuel-processing flow diagram.}
\label{f-6-4-1}
\end{figure}

\begin{table}
\caption{}
\centering
{\bf ARIES-I Fuel-Cycle Parameters}
\vspace{1.cm}
\renewcommand{\arraystretch}{1.3}
\begin{tabular}{l r}
\hline
& \hbox to 1.5truein{\hfil}\\
Fusion power (MW)& 1,925\\
Tritium burn rate (g/d)& 295\\
Tritium burn fraction & 0.193\\
Tritium feed rate (g/d)& 1,528\\
Tritium exhaust rate (g/d)& 1,233\\
D exhaust rate (g/d)& 822\\
He exhaust rate (g/d)& 393\\
H generation rate (g/d)& 1\\
H/(D + T)   & 1\% \\
He/(D + T)    &12\% \\
\\ \hline
\end{tabular}
\label{t-6-4-1}
\end{table}
 
\begin{table}
\caption{}
\centering
{\bf Cryogenic-Distillation Capacity Comparison}
\vspace{1.0cm}
\renewcommand{\arraystretch}{1.3}
\begin{tabular}{l c c c}
\hline
           &      & ARIES-I        & ARIES-I \\
           & ITER & (Conventional) & (Only separation of H) \\
\hline \\
Throughput (mole T/d) & 2,500 & 411 & 41 \\
Number of columns     &   4  &  4  & 1 \\
Tritium inventory (g) &  800 & 150 & 50 \\
\\ \hline
\end{tabular}
\label{t-6-4-2}
\end{table}
 
\section{SUMMARY}
\label{s-6-5}
 
The key issues for a tritium system are the tritium inventory and the tritium
release. For the \AI\ design, the structural material is SiC, through which
the tritium permeation rate is very low. Therefore, tritium release, if any,
will be by leakage and not by permeation. Tritium leakage is caused mainly by
cracks that develop in the coolant tubes. Because the coolant pressure
(10~MPa) is much larger than the purge-gas pressure (0.4~MPa), any leakage
will be toward the purge. Therefore, it can be assumed that the tritium
leakage to the primary coolant and to the steam generator will be extremely
small.
 
The tritium inventories of the \AI\ major components have been calculated and
summarized in \hbox{Table~\ref{t-6-5-1}}. Minimizing the inventory is a key
effort and the important assumptions used for this activity are also included
on this table. The total tritium inventory in the reactor is 700~g, 90\% of
which is in the beryllium.
 
The most uncertain tritium inventory is in the beryllium. Tritium production in
Be of 1.15~kg/FPY is probably within 50\% accuracy. The recoil-deposited
tritium inventory of 1.4~kg/FPY is possibly accurate to within a factor of 2 or
3.  The most uncertain are the tritium release characteristics. The data used
here are based on some recent experimental results, with a helium content in Be
of 30,000~appm. If this data proves not to be relevant to \AI\ conditions, the
tritium inventory in the Be can be as high as 5 to 10~kg/FPY. Experimental work
in this area is in progress and more definite answers should be available in
about one year.

\begin{table}[b]
\caption{}
\centering
{\bf Estimates of Tritium Inventory in the \AI\ Design}
\vspace{1.0cm}
\renewcommand{\arraystretch}{1.1}
\begin{tabular}{l c l}
\hline
\hfil{Components}\hfil & T Inventory & \hfil{Comments}\hfil\\
\hline\\
Fuel cycle\\
\quad Vacuum pumping    & Small & Using ceramic turbo-molecular pump \\
\quad Helium separation & Small & Using Pd diffuser \\
\quad Cryogenic distillation &  \Z50~g & Using CD unit to remove H only \\
First wall              & \Z\Z6~g & Sputtering removes C and T \\
Divertor wall           &  \Z10~g & Using W coating on SiC \\
Blanket \\
\quad Breeder material  & \Z\Z1~g & Selection of breeding material \\
                        &         & and operating temperature\\
\quad Beryllium         &   640~g & 1.~Complete tritium release $>$610\SdegC\ \\
                        &         & 2.~Blanket heat to 610\SdegC\ once a year.\\
\\ \hline
\end{tabular}
\label{t-6-5-1}
\end{table}

\clearpage
\begin{thebibliography}{99}

\bibitem{Cau78} R.~A.~Causey, J.~D.~Fowler, C.~Ravanbakht, T.~S.~Elleman, and 
K.~Verghese, ``Hydrogen Diffusion and Solubility in Silicon Carbide,''
{\it J.\ Am.\ Ceram.\ Soc.} {\bf 61} (1978) 221.
 
\bibitem{Bra87} B. Braams, ``A Multi-Fluid Code for Simulation of the Edge
Plasma in Tokamaks,'' NET report NET-68, 
EUR-FU/XII-80/87/68 (1987).

\bibitem{Vol89} E.~L.~Vold, ``Transport in the Tokamak Plasma Edge,'' 
Ph.D.\ thesis, University of California Los Angeles (1989).

\bibitem{Bas83} M.~I.~Baskes, ``DIFFUSE 83,'' Sandia National Laboratory report
\hbox{SAND-83-8231} (1983).
 
\bibitem{Cho83} P.~Chou and N.~M.~Ghoniem, ``Precipitate Dissolution Due to
High Energy Collision Cascades,'' {\it J.\ Nucl.\ Mater.} {\bf 117} (1983) 55. 
 
\bibitem{Kop88} J.~P.~Kopasz, S.~W.~Tam, and C.~E.~Johnson, ``Modelling of
Tritium Behavior in Ceramic Breeder materials,'' {\it J.\ Nucl.\ Mater.} {\bf
155-157} (1988).
 
\bibitem{Ite88} ``ITER Shield and Blanket Work Package Report,''
Argonne National Laboratory report \hbox{ANL/FPP/88-1} (1988).
 
\bibitem{Oku89} K.~Okuno and H.~Kudo,
``Tritium Diffusivity in Lithium-Based Ceramic Breeders Irradiated with
Neutrons,'' {\it Fusion Eng.\  Des.} {\bf 8} (1989) 355.
 
\bibitem{Jon67} P.~M.~S.~Jones and R.~Gibson, ``Hydrogen in Beryllium,'' {\it
J.\ Nucl.\ Mater.} {\bf 21} (1967) 353.
 
\bibitem{Wam84} W.~A.~Wampler, ``Retention and Thermal Release of Deuterium
Implanted in Beryllium,'' {\it J.\ Nucl.\ Mater.} {\bf 122\&123} (1984) 1598.
 
\bibitem{Bal90} D.~L.~Baldwin, O.~D.~Slagle, and D.~S.~Gelles, ``Tritium 
Release from Irradiated Beryllium at Elevated Temperatures,'' {\it Proc.\ 4th
Int.\ Conf.\ Fusion Reactor Mater.}, Kyoto, Japan (Dec.\ 1989), {\it J.\ Nucl.\
Mater.} {\bf 179-181} (1991) 329.
 
\bibitem{Yos89} H.~Yoshida, Japan Atomic Energy Research Institute, private
communication during ITER workshop (1988).

\end{thebibliography}
\end{document}
