Throughout the entire process of implementing IVR measures, the corium is always confined within the lower head of the RPV, and the available surface for cooling is merely the outer surface of the RPV’s lower head. The boundaries of the relevant research are relatively clear. In comparison, although the key concept of EVR measures is to transfer the corium to a pre-designed collection container for further cooling, the external environment and the structural form of EVR measures for different reactor types vary greatly, and the remaining issues need to be discussed separately.
4.1. Dry Reactor Cavity
In the existing EVR measures, most design schemes require implementation in a dry reactor cavity, that is, when the corium flows out from the lower head of the RPV, the reactor cavity is dry, or at least not containing a large amount of water. This can avoid steam explosions, thereby introducing significant uncertainty.
Under dry reactor cavity conditions, the focus of subsequent research should concentrate on the interaction between the corium and sacrificial materials, as well as more efficient heat transfer methods for the corium.
The interaction between the corium and sacrificial materials is crucial [
30]. When the corium flows out from the lower head of the RPV, its temperature is extremely high. Direct contact with the boundaries of the core catcher would result in a significant thermal load due to the rapid release of sensible heat, potentially causing the core catcher to fail prematurely [
31]. Therefore, in the current core catcher designs, sacrificial materials are used to interact with fresh core melt to reduce its temperature and get through the initial dangerous phase. Different core catcher of reactors use different sacrificial materials, with slightly different functions, but the basic requirements include: 1) the ability to maintain mechanical strength and chemical stability for a long time, 2) rapid melting upon contact with the corium to reduce its temperature by a large heat capacity and high lalent heat of fusion, 3) the ability to oxidize active metals carried by the corium, reducing the production of hydrogen [
32], 4) to guarantee the core melt subcriticality in the core catcher by addition of specific neutron absorber material. The development process of EVR measures for different reactor types requires the development of applicable sacrificial materials based on actual needs, such as reducing non-condensable gases, and flammable gases produced during the interaction process between the corium and sacrificial materials, and optimizing the physical properties of the mixture after mixing with the corium (such as density inversion between the metal layer and the oxide layer to avoid the water-metal interaction when the water is delivered onto the top). New sacrificial material with lower action temperature such as SrFe
12O
19 was under investigation [
33,
34] which seems to be an essential view of research up to now.
In all current core catcher designs, top water injection is utilized to enhance heat transfer to the molten core material. The top water injection method is affected by the crust at the top of the melt pool, and the heat transfer efficiency is not high. However, the crust at the top of the melt pool is influenced by factors such as the composition of the melt, the size of the melt pool, the interaction between the melt and sacrificial materials, and the depth of the top water pool, resulting in local eruptions, and even local collapses, which can enhance the cooling capacity of the top water injection. This requires research based on different EVR measure design schemes and reactor parameters.
The ESBWR-CC and EU-APR1400-CC both enhance natural circulation flow by connecting the water pool above the melt pool with the cooling channel injection port through a specially designed structure, thereby enhancing heat transfer. The EPR-CC has a channel-cooling system laid at the bottom of the spreading compartment, and even if the top of a cooling channel unit is strongly heated, at high heat fluxes, a local dry-out occurred at the top of the channel, structural temperature remained in a safe range [
18]. Apart from the bottom and surface, heat can even transfer to the side walls of the channel, resulting in a very good heat removing ability. In conclusion, heat transfer can be enhanced by optimizing the structure of heat exchange devices. The EPR-CC has adopted the approach of increasing the heat transfer area, while the ESBWR-CC and EU-APR1400-CC have employed methods that enhance the heat transfer coefficient.
The COMET concept [
35] proposed by FZK injects water at the bottom of the melt pool, using the intense heat transfer formed by the direct contact of the melt and water to form a porous medium-like cooling flow channel inside the melt pool, greatly increasing the heat transfer area and achieving a tremendous heat transfer efficiency. A COMET concept catcher design applicable to the EPR has been developed, and relevant experimental studies have been conducted [
36,
37,
38]. Experimental research on the CometPC revealed that the bottom water injection process generates a large amount of steam, demonstrating an extremely efficient cooling capacity. Even with an increase in the water injection rate, no steam explosion phenomenon occurred, indicating that cooling via bottom water injection is a particularly effective method for quenching the melt. Based on the COMET bottom water injection concept, the CEA conducted the VULCANO VW-U series of experiments, validating the WABE-COMET model. The results presented further support the application of the COMET concept [
39].
4.2. Wet Reactor Cavity
A wet reactor cavity refers to the situation where there is a deep pool of water in the reactor cavity or core catcher when a large mass of corium flows out from the lower head of the RPV, such as the process in the APWR-CC and the Nordic BWR in the response to severe accidents. In addition, after the Fukushima accident, due to the emphasis on the threat of severe accidents, many early reactor types that did not originally have severe accident mitigation measures need to be simply modified to cope with severe accidents, and using a reactor cavity with a large amount of water for the retention of corium is the most direct choice.
In the case of a wet reactor cavity, steam explosions are the first issue that needs to be addressed. The threats of steam explosions include:
- 1)
The pressure pulse formed by the steam explosion damages the structure of the reactor cavity or core catcher, causing the core melt retention device to fail prematurely, and the transfer of the corium is uncontrolled.
- 2)
Damage to the containment structure, such as the pressure pulse formed by the steam explosion may cause the melt to splash or other ejected objects, all of which can threaten the integrity of the containment. In addition, significant displacement of some equipment (such as the collapse of the equipment support structure or direct impact by the pressure pulse) can exert a large pulling force on the pipelines connected to it, which may damage the integrity of the containment through the pipelines that penetrate the containment wall, leading to the release of radioactive materials.
Steam explosion is a complex process involving multiple fluids, multiple phases, and multiple time scales. To explore the factors affecting steam explosions, scholars usually decouple and study them through experimental control, modeling the flow of the melt, the interaction between the melt and the coolant, the vaporization of the coolant, the motion of the gas film, etc., and then interpreting and verifying them with coupled experiments. However, there is currently no unified understanding of the triggering mechanism, probability, and energy conversion rate of steam explosions. Currently, in experiments conducted with prototype materials (a mixture of UO
2 and ZrO
2), such as in the KROTOS [
40] and FARO [
41] experiments, spontaneous steam explosions have not occurred. However, during experiments in the TROI [
42] steam explosions occurred on multiple occasions. Steam explosions have also frequently occurred in related experiments conducted with simulate material on VULCAN [
43]. Consequently, in engineering design, when there is a risk of steam explosion, it is typically considered as a probable event, and reinforcement measures are taken to withstand such explosions. Some institutions are researching methods to mitigate or even eliminate steam explosions by adding substances to the water, such as increasing the coolant’s viscosity or altering the surface tension to stabilize the vapor film and suppress steam explosions [
44,
45,
46,
47,
48]; or by introducing innovative ideas like adding suspended spheres in the water pool to restrict the disintegration of the melt jet, thereby suppressing steam explosions. There are also methods involving the use of water-absorbent spheres in combination with a sodium bicarbonate solution to weaken the steam explosion phenomenon [
49].
In addition, when the spread area in the reactor cavity or the core catcher is relatively small, the retention process of corium also involves the formation of debris beds, the coolability of debris beds, and the interaction process between the core melt and concrete.
The dry-out heat flux (DHF) is considered as a key parameter for assessing the coolability of debris beds. There is a preliminary consensus that the coolability of debris beds is mainly influenced by the porous structure (i.e., the morphology of the debris bed) and the cooling method (i.e., the way in which cooling water is injected, such as top injection, bottom injection, and lateral injection). By analyzing the resistance of two-phase flow under the porous structure and DHF, one can grasp the flow and heat transfer characteristics of the debris bed, thereby analyzing its coolability. Early related studies mostly took a one-dimensional homogeneous spherical bed as the research object, simulating a simple debris bed structure, and obtained DHF for different experimental bed sizes, particle sizes, and particle shapes through experimental studies. However, due to the influence of factors such as particle shape and container size, the DHF obtained from different studies under approximate conditions varied greatly, and the experimental data were quite scattered [
50,
51]. Experiments on flow resistance in homogeneous and layered structured particle accumulation beds were also conducted by the DEBECO [
52], showing that existing particle accumulation bed models can only describe the resistance characteristics in a single direction. It is necessary to conduct research on the flow resistance of non-spherical particles and mixed accumulation beds of particles of various sizes to understand the multi-dimensional two-phase flow and heat transfer mechanisms within porous structures. In addition to the structural characteristics of the debris bed itself, the method of water injection during the cooling process of the debris bed also affects the two-phase flow resistance and DHF of the debris bed, influencing its coolability. The University of Stuttgart in Germany has built the DEBRIS [
53] to study the flow and heat transfer characteristics and dryout features within a spherical particle bed. The VTT Technical Research Centre of Finland has built the STYX and studied the dryout characteristics under downcomer design and top flooding conditions within mixed paticle size debris bed [
54]. Yang Shengxing et al. [
55] built a one-dimensional cylindrical mixed particle size sandstone debris bed and studied the impact of different water injection methods such as top flooding, natural circulation-driven bottom water injection, and peripheral water injection on DHF.
Meanwhile, the morphology of the debris bed has a direct impact on the subsequent coolability of the debris bed. Debris beds typically consist of large blocky structures, such as the cake-like debris bed observed in the FARO experiment (where the mass reached 50% of the total amount of the melt [
56]), and debris with different particle size distributions. Further experimental studies on the formation of debris beds are needed to obtain more detailed results on the accumulation structure, shape, and particle size distribution of debris, in order to more accurately capture the two-phase flow and heat transfer characteristics within the debris bed. Furthermore, previous research on the formation of debris beds and their coolability was carried out independently. To better understand this process, joint experiments can be considered.
When the debris bed cannot be cooled, it will continue to interact with the concrete in the reactor cavity. Since the 1970s, a series of experiments on Melt Coolability and Con-crete Interactions (MCCI) have been conducted internationally, such as ACE/MACE [
57,
58], SURC [
59,
60], COMET-L [
61,
62], VULCANO [
63], etc. These studies have successively investigated the effects of melt composition, type of con-crete, decay heat power, and the timing of water injection in flooded cavity and the cooling capacity of the melt. Due to the high temperatures of core melt, the main parameters measured in the experiments included the melt temperature and the ablation velocity of concrete. For the flooded cavity experiments, the debris/water heat flux was also estimated based on the rate of steam generated by the interaction.
Existing experimental results indicate an overall trend of decreasing melt tempera-ture and increasing heat transfer surface area as the melt erodes the concrete. Results adopting prototype material show that the concrete erosion of oxidic core melt is influ-enced by the type of concrete: For limestone concrete, the radial to axial erosion rate and ablation depth are approximately 1:1; whereas for siliceous concrete, it is about 3:1. Large-scale experimental results also show no significant effect on the erosion characteris-tics of siliceous concrete. It is currently believed that the interfacial properties of the inter-action between the melt and the two types of concrete are distinctly different.
The presence of metallic materials such as zirconium(Zr) and iron in the melt or con-crete has a thermal-hydraulic impact on the MCCI. The results have shown that the oxida-tion reaction between Zr and the decomposition gases of the concrete (CO2, H2O) leads to a transient exothermic reaction that can raise the melt temperature within tens of minutes. The heat transfer at the metal melt-concrete interface is enhanced compared to the ox-ide-concrete interface. However, the database for metal melt-concrete is limited, and there is no clear understanding of the phenomenological behavior in such cases.
The OECD-NEA’s 2017 report, "State-of-the-Art Report on Molten Corium Concrete Interaction and Ex-Vessel Molten Core Coolability," [
64] points out that current experimental and theoretical research still has some deficiencies. There is a lack of research on the severe accident phenomenon of MCCI at the scale of the reactor cavity and the long-term effects of the melt, which may affect the effectiveness of existing nuclear power plant severe accident management guidelines.
Aside from the uncertainties in the initial conditions of MCCI brought by the core degradation and the failure process of the reactor pressure vessel, the residual uncertain-ties in the MCCI process mainly come from:
- 1)
Due to the lack of a more robust phenomenological model to rationalize the observed differences in erosion behavior between the two types of concrete used in experiments, there is still some uncertainty in extrapolating the results to prototype conditions.
- 2)
The simplicity on a well-mixed core melt pool in the presence of concrete decomposition gases contrasts with the complexity of the concrete ablation mechanism, in which the evolving melt-concrete interface gradually integrates into the melt. From a modeling perspective, this remains difficult to observe and capture through experiments.
- 3)
MCCI experiments conducted with prototype materials have relatively short durations. The Fukushima nuclear power plant accident has shown that longer transients are likely to occur, and it has been found in accident analysis that the termination of MCCI is significantly affected by the differences in melt pouring conditions predicted by different programs at the time of reactor vessel failure. These findings question the analytical results that predict long-term MCCI, especially in the presence of water. Therefore, if experimental data from short-duration experiments cannot be extrapolated to reactor conditions with high confidence, it is necessary to obtain experimental data from longer durations.
- 4)
The limitations of experimental techniques present significant challenges. The experiments are conducted under high-temperature (the actual experimental temperature of the core melt being around 2500K) condition, which substantially increases the difficulty of the experiments. This includes limitations in acquiring plenty of data, constraints on measurement accuracy, and the difficulty in estimating heat losses. Additionally, the experiments involve phenomena that are hard to quantify, such as material ejection and the positioning of the crust. However, inspections of the debris in the damaged Fukushima reactors may yield more data and information, thereby enhancing the understanding of the MCCI phenomena under conditions that are large-scale and fully prototypic. This would provide greater credibility for the application of simulation tools in existing power plants, offer a technical foundation for better containment design in future plans, and optimize the severe accident management strategies for both current and future plans.
- 5)
The MCCI under wet cavity conditions is even more complex.
Furthermore, to prevent the melting through of the reactor cavity bottom or the failure of the core catcher, it is usually necessary to increase the thickness of the concrete, or to add cooling to the concrete, which into slow down or terminate the erosion of the melt.