Patent Number: 048812471
Section: description

DESCRIPTION OF THE PREFERRED EMBODIMENTS As a nuclear power reactor operates, the quantity of fissionable material in the fuel rods decreases. The term "burnup" denotes this depletion of fissionable content. As burning occurs, certain radioactive isotopes are produced which spontaneously emit fast neutrons. The greater the burnup, the greater will be the production of these isotopes, and thus the emission rate of these fast neutrons will increase. There are five isotopes which account for more than 99% of a fuel assembly's fast neutron emission. These are .sup.242 Cm, .sup.244 Cm, .sup.238 Pu, .sup.239 Pu, and .sup.240 Pu. The plutonium isotopes dominate the emission up to about 200 effective full power days of reactor operation, at which point they count for 50% of the neutron activity. Thereafter, the curium isotopes become more important, account for 64%, 83%, 97%, and 99% after 210, 300, 600, and 900 effective full power days, respectively. FIG. 1 gives a typical relationship between the effective full power reactor days and the spontaneous neutron emission rate of an assembly that is assumed to have resided in the reactor for that length of time. The graph in FIG. 1 comes from calculations based on the method described in the publication Origin--The ORNL Isotope Generation and Depletion Code, by M. J. Bell, ORNL-4628, Oak Ridge National Laboratory, Oak Ridge, TN, May 1973. FIG. 1 corresponds to a reactor operating at a thermal power of 4100 MW, with an initial uranium enrichment of 3.20% .sup.235 U, with a total fuel load of 103.6 metric tons of uranium, divided among 193 fuel assemblies, and operating with an average thermal neutron flux of 4.26.times.10.sup.13 n/(cm.sup.2 -s). It is the capture by .sup.238 U of these neutrons and the subsequent neutron capture by the thus newly formed isotopes that, together with the emission of beta particles, produce the neutron-emitting isotopes of curium and plutonium. The quantity of these isotopes produced depends almost entirely on the total number of thermal neutrons to which an assembly is exposed, as does the thermal energy released due to fission by the fuel in the assembly. The calculated curve shows a linear relationship between the neutron emission rate and the reactor exposure time. The calculated curve has a formula given by EQU in y=m ln.times.b where y is the assembly neutron emission rate; x is the reactor exposure time and m and b are constants. The constants m and b are determined by normal procedures for fitting linear relationships, i.e. the x and y values are used for two points to determine the two unknowns. The values obtained were m=3.92 and -6.62. By inserting these values and taking the anti-logarithm of both sides, one obtains the following equation: Neutron emission rate (n/s)=1.34.times.10.sup.-3 [reactor exposure (days)] .sup.3.92. This equation can be further modified to the following equation: reactor exposure=746.3 (emission rate).sup.-3.92. This equation would be employed to determine reactor exposure directly from the emission rate, which, in turn, is obtained from the measured neutron counts. This invention is based on a measurement of this total neutron activity of an assembly and the correlation of that activity to the burnup of the fuel. We have also found that perturbations in fast neutron emission due to reactor down time are insignificant and err on the conservative side anyway. FIG. 2 illustrates the apparatus for measuring the fast neutron emission rate from spent fuel rods. In FIG. 2, a fuel rod assembly 1 containing fuel rods 2 is lowered into a positioning frame 3, such as a single element of a standard spent fuel storage rack. The frame, fuel rod assembly, and remaining apparatus are surrounded with water 4, which may or may not contain dissolved boron. Lead bricks 5 prevent gamma rays and some thermal neutrons from reaching neutron detector 6, and cadmium sheets 7 prevent any remaining thermal neutrons from reaching neutron counter 6. A polyethylene moderator 8 slows down the fast neutrons to the thermal energy range so as to activate neutron counter 6. A certain fraction of the fast neutrons emitted by the spent fuel will interact with counter 6, each producing an electrical pulse. The counting rate of these pulses is directly proportional to the emission rate of fast neutrons from the assembly. Since there is a one-to-one correspondence between emission rate and burnup, there is also a one-to-one correspondence between counting rate and burnup. The actual inventory buildup pattern of curium and plutonium in a fuel assembly will proceed at different rates for different reactor and fuel assembly designs but will be the same over the lifetime of a given reactor or for a given reactor design. As one step in the method of this invention, it is necessary to use the apparatus to measure the fast neutron counting rate from a nuclear fuel assembly of known burnup from a given type of reactor. The burnup of nuclear fuel can be determined by maintaining a careful history of the fuel in the reactor or by a chemical analysis. Either method is technically and economically prohibitive for use on large quantities of fuel, but is practical for a small sample. By dividing the neutron emission rate give from a calculated curve (such as in FIG. 1) by the coutning rate for a fuel sample having that reactor time, a proportionality constant between the emission rate from a sample of known burnup and the counting rate from samples of unknown burnup can be determined. When the neutron counting rate of nuclear fuel of unknown burnup is measured, multiplication by the proportionality constant will give the emission rate and, from the curve, the reactor time which is a measurement of the amount of burnup. Examples of devices suitable for measuring neutron emissions via counting rate include a boron-10 lined neutron detector and a U-235 lined fission detector. The boron 10 detector is preferred because it is about 20 times more sensitive, although it is more affected by gamma rays and thus requires more lead shielding. Both of these types of detectors detect thermal neutrons, so it is necessary to surround the detector with water or polyethylene to change the fast neutrons to thermal neutrons. It is also necessary to exclude gamma rays from the detector by surrounding it with lead, which also excludes some of the thermal neutrons, and to exclude any remaining thermal neutrons by surrounding it with cadmium. In addition, the associated counting electroncis such as a power supply, amplifier, discriminator, and scaler are required as is well known in the art. The associated electronics are not located underwater, but at a location remote from the counter and fuel assembly, electrical connections being made with standard cables also well known in the art. EXAMPLE 1 A test was conducted to determine roughly the sensitivity of the burnup measurement. The experimental arrangement was similar to that shown in FIG. 2. The detector was a two inch diameter by four inch long BF.sub.3 neutron counter. Adjacent to the detection system was a simulated portion of a fuel assembly in a plexiglass tank. The rod spacing and geometry approximated those of a real assembly. For the test, ten simulated rods were fabricated, five containing eight enriched uranium fuel peelets (about 3%) and five containing eight fuel pellets of natural enrichment (0.72%). The total length of each stack of eight pellets was about 12 centimeters. They were housed in aluminum cylinders. A 5.2 microgram .sup.252 Cf source (0.375 inch diameter by about 1 inch long) provided the fission spectrum of neutrons simulating emissions of the cirium and plutonium isotopes. The neutron emission rate was about 1.25 times 10.sup.7 neutrons per second. In the first series of runs, the five enriched rods were placed in the first row of a 5 by 5 grid and the five natural rods were placed in the second row. The source was then moved from the fifth row to the first row in the third column, displacing the fuel rods in rows 1 and 2. In the second series of tests, no fuel rods were used. Neutron count rates were measured and recorded during successive 10 second perios for the .sup.252 Cf source in the five positions in the third column. All but two points of these series were repeated using a 2,000 ppm concentration of boron in the water. The results are given in the following table: ______________________________________ Boron Simulated Concen- Fuel Rods tration CF-252 Source Position In Position In Water Row 1 Row 2 Row 3 Row 4 Row 5 ______________________________________ 0 ppm 17.5 14.4 11.2 8.5 6.3 Yes 2000 ppm 16.6 13.4 10.3 -- -- 0 ppm 15.6 12.1 8.8 6.2 4.5 No 2000 ppm 15.4 11.8 8.6 6.2 4.4 ______________________________________ The highest counting rate waas obtained for the fuel rods in position in a water bath due to the reduced shielding because of the displaced water and to the additional fast neutrons of fission reactions in the fuel rodds. The addition of boron decreased the counting raate, but not appreciably. The decrease is due to primarily to the reduced number of thermal neutrons available for fission reactions in the fuel rods. Experiments show that the reduction in shielding due to the displaced water and the fission neutron production in the rods together cause only a 10% increase in the total counting rate. Also, since there is a negligibly small difference between count rates with pure waater and with borated water, the experiments indicaate that an insignificant number of thermal neutrons were able to penetrate the lead and cadmium shields. Accordingly, the apparatus is indeed sensitive to only the fast neutrons. All four experiments demonstrate that the counting rate drops rather sharply as the neutron source location moves farther into the assembly. Thus, in a practical application, the technique would be most sensitive to the burnup in the first few outside layers of rods. If there were any differences in burnup across the cross-sectional area of an assembly, it would be likely that the interior rods would have a higher burnup. In that sense, the application of the proposed method would provide conservative estimates of burnup. The fact that excellent counting rates were obtained using a relatively weak .sup.252 Cf source suggests that sizable counting rates would be obtained in a practical application. EXAMPLE 2 This example illustrates how the burnup of a fuel assembly of unknown burnup would be calculated for a particular reactor design and initial uranium enrichment, given the curve shown in FIG. 1 and a reading of 161.9 counts per second when an assembly having a known burnup of 600 effective full power days was measured in an apparatus as illustrated in FIG. 2. Since the corresponding emission rate for the assembly of known burnup is 9.92.times.10.sup.7 neutrons per second (from FIG. 1), the emission to-reading conversion factor is 9.92.times.10.sup.7 .div.161.9=6.13.times.10.sup.5 emitted neutrons per neutron count. If the counting rate from an assembly of unknown burnup were then measured to be 812.4 counts per second, its emission rate would be obtained through multiplication by the conversion factor yielding 812.4.times.6.13.times.10.sup.5 =4.98.times.10.sup.8 neutrons emitted per second. From the graph in FIG. 1, the unknown burnup corresponding to this emission rate is then determined to be 900 effective full power days.