A. TOBIAS, Central Electricity Generating Board, Berkeley Nuclear Laboratories, Berkeley, Gloucestershire GL13 9PB, England (Received 1 August 1979)
Summary
Many aspects of the nuclear fuel cycle require accurate and detailed knowledge of the energy release rate from the decay of radioactive nuclides produced in an operating reactor. In addition to the safety assessment of nuclear power plant, decay heat estimates are needed for the evaluation of shielding requirements on fuel discharge and transport routes and for the safe management of radioactive waste products extracted from spent fuel during reprocessing. The decay heat estimates may be derived by either summation calculations or Standard equations.This paper reviews the development of these evaluation methods and traces their evolution since the first studies of the 1940s. In contrast to many of the previous reviews of this subject, both actinide and fission product evaluation methods are reviewed in parallel. Data requirements for summation calculations are examined and a summary given of available codes and their data libraries. The capabilities of present-day summation methods are illustrated through comparisons with available experimental results. Uncertainties in summation results are examined in terms of those in the basic nuclear data, irradiation details and method of calculation. The evolution of decay heat Standards is described and a brief examination made of their reliability and ability to provide suitably conservative decay heat estimates. Finally, to illustrate the use of present summation methods, comparisons are given of both the actinide and fission product decay heat levels from typical fuel samples in a variety of reactor systems.
CONTENTS
1 INTRODUCTION
1.1 Discovery of nuclear fission
1.2 Sources of decay heat
1.2.1 Heavy elements—actinides
1.2.2 Fission products
1.2.3 Structural and cladding materials
1.2.4 Delayed neutron-induced fission
1.2.5 Reactions induced by spontaneous fission neutrons
1.3 Basic concepts in decay heat evaluation
1.3.1 Instantaneous burst of fissions
1.3.2 Infinite irradiation
2 EVALUATION OF DECAY HEAT
2.1 History of decay heat measurements
2.2 History of summation studies and decay heat reviews
2.2.1 Actinides
2.2.2 Fission products
2.3 Present summation methods
2.3.1 The build-up of actinides and heavy elements
2.3.2 The generation of fission products
2.3.3 Inventories following shutdown
2.3.4 The summation step
2.3.5 Data and codes
2.3.5.1 Actinides
2.3.5.2 Fission products
3 CONFIRMATION OF SUMMATION CALCULATIONS
3.1 Comparisons of nuclide inventories
3.2 Comparisons of decay heat results
3.2.1 Decay heat burst functions
3.2.1.1 235U thermal fission
3.2.1.2 239Pu thermal fission
3.2.1.3 241Pu thermal fission
3.2.1.4 233U thermal fission
3.2.2 Integral decay heat
3.2.2.1 235U thermal fission
3.2.2.2 239Pu thermal fission
3.2.2.3 233U thermal fission
3.2.2.4 Other fission processes
3.2.3 Beta and gamma spectra
3.2.4 Decay heat following infinite irradiation
4 THE EFFECT OF NEUTRON ABSORPTION IN FISSION PRODUCTS
5 UNCERTAINTIES IN DECAY HEAT SUMMATION CALCULATIONS
5.1 Uncertainties due to actinide nuclear data
5.2 Uncertainties due to fission product nuclear data
5.2.1 Uncertainties in yield data
5.2.2 Uncertainties in half-lives
5.2.3 Uncertainties in decay energies
5.2.4 Uncertainties in cross-sections
5.2.5 Uncertainties in other parameters
5.2.6 Total uncertainties due to input data
5.3 Uncertainties due to irradiation parameters
5.3.1 Uncertainties in neutron flux level and fuel rating
5.3.2 Uncertainties in neutron spectrum temperature
5.3.3 Uncertainties in irradiation time
5.3.4 Uncertainties in fuel burn-up
5.4 Uncertainties due to the method of calculation
5.4.1 The assumption of constant fuel rating
5.4.2 The length of the irradiation steps
5.4.3 The use of channel-average parameters
5.4.4 The use of load factor
6 THE DEVELOPMENT AND USE OF DECAY HEAT STANDARDS
6.1 Fission product standards
6.2 Actinide standards
6.3 The influence of energy release in fission
6.4 The adequacy of decay heat standards
6.4.1 Actinides
6.4.2 Fission products
7 COMPARISONS OF DECAY HEAT PROPERTIES
7.1 Decay heat from different fissile nuclides
7.2 Decay heat from different reactor systems
8 CONCLUSIONS
9 REFERENCES
1 INTRODUCTION
Since the first self-sustaining chain reaction was achieved, by the group under Enrico Fermi, on 2 December 1942 on the squash courts of Chicago University, man has learned to harness successfully the energy from nuclear fission for peaceful purposes. From the variety of experimental reactor piles which rapidly followed world-wide a number of quite different commercial reactor systems have evolved.
In the U.K. efforts have been directed primarily to the development of the graphite-moderated, gas-cooled reactor system. This began with the magnox system, named after the magnesium alloy fuel cladding, and has been followed by the Advanced-Gas-Cooled (AGR) Reactor. Elsewhere in the world, e.g. France, Germany, Japan and the U.S.A., the Boiling Water and Pressurized Water Reactor (BWR and PWR) systems have been developed while Canada has produced the unique Pressurized-Heavy-Water-Moderated and -Cooled CANDU system.
Despite the widely varying designs of reactor systems in operation in the world today, many of the countries involved are now taking an interest in the controversial Liquid-Metal-Cooled Fast Breeder Reactor (LMFBR), which is theoretically capable of producing more fuel than is consumed.
Irrespective of which reactor system one may consider, there are a number of important design and operating criteria which require a knowledge of the radioactivity levels, or heat generation, from the entire reactor, or an individual fuel element, at times ranging from a few seconds to hundreds of days, and possibly years, following shutdown of the reactor. For example, in order to cater...