Rui-Yang Xu ?Chun-Hui Dong?Xiao-Qing Mao?Qing-Xian Zhang ?Hui Gong?Kai-yong Liao?Zhi-Gang Lu?Liang-quan Ge?Zhi-Yu Gao?Ting-Fang Luo?Qi-Chang Huang

Abstract Currently,the liquid scintillation method is widely used to measure the activity of tritiated water in the primary circuit of nuclear power plants,which leads to the continuous production of radioactive waste during measurement.In addition,the real-time activity information of tritiated water cannot be obtained.To solve this problem,herein we present an online tritiated water measurement method based on plastic scintillators that used the optical transport process in the Geant 4 software toolkit to build a model of plastic scintillation detection for tritiated water.Through simulation,the basic geometric dimensions of the detector were determined.In this dimension,using one detector to measure for 3 h,when the tritiated water activity was 100 Bq/L,its resolution was 16%(16 Bq/L).In addition,calculations were performed for the presence of other background signals to obtain the minimum detectable concentration.

Keywords Tritiated water.Geant 4.Plastic scintillators.Measurement system

1 Introduction

Tritium is an isotope of hydrogen(3H).It can be found in air,water,food,and all living organismsthrough isotope exchange with hydrogen in water and organisms[1,2].The biological effects caused by the intake of different forms of tritium are significantly different[3].The solubility of tritium gas in human blood is low,thus the internal radiation dose produced by tritium gas entering the blood is low.However,tritium gas can enter the lungs through breathing,which is an important factor causing internal radiation dose[4].The harm caused by tritiated water is greater than that caused by tritium gas.Tritiated water can be evenly distributed throughout the human body within 2–3 h,and the radiological harm caused by tritiated water is 2500 times more than that caused by tritium gas[5].Tritium mainly exists in the form of tritiated water(HTO).There are two ways to produce tritiated water:natural formation and artificial formation;and the amount of artificial tritiated water released ismuch higher than that of natural tritiated water produced.Currently,governments and related organizations have enacted legislation and promulgated regulations that stipulate the maximum concentration of tritium in drinking water.For example,the U.S.Environmental Protection Agency(EPA)sets a maximum of 740 Bq/L[6]and the EU Council Directive 2013/51/Euratom,establishes a limit of 100 Bq/L[7].

The tritium in the environment originates from both natural formation and artificial formation.The release rate of artificial tritium is higher than that of natural tritium.Artificially released tritium mainly comes from nuclear weapon experiments and reactors[8].Owing to the prohibition of nuclear testing and the gradual rise of the nuclear power industry,there is an increase in the amount of tritium released from nuclear power plants.In nuclear power plants,tritiated water is mainly produced in the water coolant and the moderator,and its amount depends on the type of reactor.The Chinese government has proposed requirements for the detection of liquid effluents from nuclear power plants,including tritium as a separate test item and clarified restrictionson tritium emissions.The PWR nuclear power plant continuously generates tritium due to the reaction of boric acid and neutrons in the primary circuit system,and the tritium activity reaches 107Bq/L when operating at a stable power[9].After processing,the activity of tritium in the liquid effluent was approximately 100 Bq/L.Traditional tritium concentration measurement methods include theβ-ray-induced X-rays(BIXS)method[10],calorimetry[11,12],imaging plate method[13],the liquid scintillation method[14,15].The BIXS method is a convenient and non-destructive tritium measurement method.However,because of the low energy of β-rays produced by tritium decay(0–18.6 keV),the intensity of X-rays generated in the material is insignificant,so the detection efficiency of the BIXSmethod islow.The calorimetry method converts kinetic energy into heat energy in the sample chamber based onβ-rays by tritium decay.It calculates the tritium content by measuring temperature change in the sample chamber.However,the small changein thewater tritium concentration will causea small temperature change in the sample room,which will lead to a higher detection limit of this method(approximately 2×109Bq/L),and the measurement time of the calorimetry method is relatively longer.The operation of the imaging plate method is complicated and risky.This method ought to work by exposing the imaging plate to tritium water vapor for up to 24 h before measurement,which poses security risks.Its detection limit is 4×106Bq/L[13],which cannot be used for online measurement of low-concentrated tritiated water.Currently,nuclear power plants widely use offline liquid scintillation methods to measure the concentration of tritiated water.The detection limit of the liquid scintillation method is less than 100 Bq/L,but its shortcomings are obvious.In the actual measurement process,it is necessary to select the type of scintillation liquid according to the specific situation.In addition,the selection of scintillation bottles,the amount of scintillation liquid,the pretreatment of samples,and the holding time will affect the measurement results[16,17].It takesapproximately two days for a single measurement,which makes it impossible to grasp the tritiated water activity information in the liquid effluent of nuclear power plants in real time.Simultaneously,when the concentration of tritiated water is measured by the liquid scintillation method,liquid waste is produced continuously,which runs counter to the purpose of environmental protection.To solve these problems,this study designs a set of low-activity tritiated water online measurement systems.

2 Detector system

Theβ-rays produced by tritium decay have a maximum energy of 18.6 keV.Its range in water is only a few microns,and its penetration ability is poor.This leads to a very small number ofβ-rays that can be detected,which means that the detection efficiency is very low[18].To improve the detection efficiency of the detector for tritiated water,it is necessary to have a sufficiently large contact area between the tritiated water and the detector.In the initial stage of the detector design,we consider using multiple parallel-arranged fibers to form a detector array.According to the investigation,it was found that the common optical fiber is composed of an internal luminescent medium and an external cladding.Thethicknessof the external cladding is generally 1–2%of the diameter of the optical fiber.Through Geant 4 simulation,it wasfound that the range ofβ-rays produced by tritium decay in water and plastic scintillators is less than 5μm,which cannot penetrate the cladding of the fiber with the smallest diameter(1 mm)on the market.Because the internal luminescent medium and cladding are formed in one body during the production of the fiber,through investigation,we found that only SAINT-GOBAIN sells non-cladding scintillation fibers.Owing to the cost and embargo issues,we propose a technical scheme to increase the contact area by drilling dense boreholes in a cylindrical plastic scintillator.The contact area between the tritiated water and the detector can be increased by increasing the flow channel of tritiated water by drilling boreholes.A structure diagram of the detector is shown in Fig.1.

Fig.1 (Color online)Detector model and physical picture

The entire detector is divided into three parts:a plastic scintillator,sealing shell,and photomultiplier tubes(PMT).The sealing shell in the middle part of the detector is a PC tube that can be demountable.The number of PC tubes can be added or reduced depending on change in the detector length.Tritium decays to emitβ-rays.Some β-rays can reach the plastic scintillator and deposit energy.Subsequently,scintillation photons were produced.The scintillation photonspropagatethrough theplastic scintillator and water;and finally reach the PMT.Then,they are converted into photoelectrons and detected.Considering the size of the photocathode matching the PMT,a cylindrical plastic scintillator with a diameter of 5 cm,which has some water flow channels,was selected.The density of the plastic scintillator is 1.05 g/cm3,and the ratio of carbon to hydrogen is 1:1.1.The luminescence spectrum is provided by the manufacturer.The peak of the plastic scintillator spectrum is at a wavelength of approximately 420 nm,and the light yield is 11250 photons/MeV(the nonlinear problem of the light yield of the plastic scintillator in the low-energy range is not considered here).The decay time of the scintillation photons is 2.4 ns.The entire detector shell adoptsthestructuresof theinner and outer layers.The inner layer uses Teflon material to reflect the scintillation photons,and the outer layer usesan alloy shell to shield the radiation from the background of the environment.Owing to the low energy of theβ-rays produced by tritium decay,the number of scintillation photons generated is relatively small.Part of thescintillation photonsare lost owing to the self-absorption of the material during the propagation process.Considering the quantum efficiency of the PMT,the number of photoelectronsproduced on the PMT isvery small.Therefore,two PMTs are used for coincidence measurements to effectively reduce false counting caused by the dark current of the PMT.To improve the detection efficiency of PMT for scintillation photons,PMT selects Hamamatsu R6231-100 with a smaller dark current,larger electron multiplication gain,and higher quantum efficiency.According to the data provided by the manufacturer,the strongest wavelength of the emission spectrum of the plastic scintillator is approximately 425 nm,and the quantum efficiency of the PMT is as high as 20%.A spectral match could beascertained between the scintillator and the PMT.The photocathode diameter of the PMT was 5 cm.At both ends of the detector shell,a 5 mm diameter borehole was used as the inlet and outlet of the tritiated water flow to maintain a constant water flow.At the transverse position of the inlet and outlet of tritiated water,a transverse borehole was drilled in the plastic scintillator in the direction parallel to the upper and lower bottom surfaces.At both ends of the plastic scintillator,the parts near the PMT are filled with solidified optically coupled glue to prevent direct contact between tritiated water and the PMT photocathode.Teflon tape was used to seal the ends of the plastic scintillator and the shielding shell.

3 Structure optimization of detector

To ensure that the detector is efficient and has a low minimum detectable concentration,it is necessary to increase the contact area between the tritiated water.The aperture and the number of boreholes,as well as the length of the plastic scintillator,are important factorsdetermining the contact area.At the same time,in the transmission process of scintillation photons,whether or not the inner wall of the borehole is polished also has an important impact on the collection efficiency of scintillation photons.To consider the influence of these factors,we used the Geant 4 software toolkit[19]to simulate the detection of tritiated water concentration using a plastic scintillator.

3.1 Aperture selection of borehole

The range ofβ-rays generated by tritium decay in water and plastic scintillators is calculated by simulation andβ spectral data from Mertens et al.[20].The calculation results show that 99.4%of theβparticles range within 5μm.β-rays beyond 5μm from the plastic scintillator hardly contributed to the measurement results.To reduce the calculation time in the program,we set the position of particles in the tritiated water layer within 5μm from the surface of the plastic scintillator.

To improve the detection efficiency of the system,it is necessary to increase the contact area between the tritiated water and the detector surface.Currently,it is assumed that the detector diameter is 5 cm,and the length is 60 cm.When the aperture is 1 mm,2 mm,3 mm,4 mm,and 5 mm,respectively,and the gap between holes is fixed at 1 mm,theeffectiveemission volumesof theβparticlesare 0.0050,0.0051,0.0034,0.0032,and 0.0024 L,respectively.When the aperture was 2 mm,theβparticle emission volume was the largest.However,owing to the limitations of machine tool technology is easier to drill the drill bit vertically when the aperture is 3 mm.After relevant research on mechanical processing,when the five-axis CNCmachine tool uses 3 mm drill bidirectional drilling,it can achieve 60 cm plastic scintillator drilling.Therefore,we determined the detector model as follows:a cylindrical plastic scintillator with a diameter of 5 cm drills the dense boreholes arranged by the array in the direction parallel to the axis,the aperture was 3 mm,and the gap between the holes was 1 mm.The length of the cylindrical plastic scintillator did not exceed 60 cm.

3.2 Construction of detector model and simulation

Based on the parameters in Sect.3.1,the tritiated water detected by the detector was simulated.In the simulation,the physical process uses the physical process of G4EmLivermorePhysics and the optical physical process of Geant 4(Optical Physics)[21].The former is used to solvethetransport problem ofβparticles,mainly providing energy deposition data.The latter can transform energy deposition into optical photons and transport them,and its transport method is based on the theory of geometrical optics.The physical process of G4EmLivermorePhysics is more accurate in simulating low-energy electromagnetic interactions,and its lower energy limit is 100 eV.The electromagnetic interaction processes include Bremsstrahlung,Coulomb scattering,fluorescence effect,and Auger electrons.

The refractive index and absorption length were obtained from the parameters of pure plastic in Ref.[22].The optical properties of water are taken from the detector parameters of Geant 4’s own routine(examples/extended/OpNovice).The quantum efficiency of the PMT adopts the parameters provided by the manufacturer of R6231-100(http://www.hamamatsu.com.cn/).The detector shell is made of Teflon,the surface of which is a Lambertian reflection[23].The surface of the detector to Teflon was set as PolishedTeflon_LUT,which is from the measured surface database of Geant 4.In the simulation,the optical surface of each interface was polished.

Electrons are generated in tritiated water and deposited into plastic scintillators to generate photons.Finally,some photons arrive at the PMT to generate photoelectrons.We believe that this is an effective event only when both PMTs output signals simultaneously.Figure 2 shows the photon transport process for the particle deposition energy of the detector.The green line is the transmission path of the scintillation photon,and the gray line at both ends is the PMT photocathode.The simulated energy deposition points were marked.The number of photons in the transmission process is lost owing to the self-absorption of the plastic scintillator.In addition,some photons are emitted into the water outside the plastic scintillator and cannot reach the PMT.Therefore,when the energy deposition point was close to the left end,the number of photons transmitted to the right end is less than that to the left end.Therefore,there appears to be a photon flux gradient toward the right in the figure.

Fig.2 (Color online)The photon transport process in the detector(green is the transport path of photons)

3.3 Length selection of plastic scintillator

To realize the measurement of low-concentration tritiated water with 100 Bq/L,the detection system needs to have sufficient detection efficiency,that is,the plastic scintillator should have sufficient contact area with tritiated water.The smaller the aperture,the greater the number of boreholes,and the larger the contact area.However,considering the possible polishing and existing processing level of the borehole in the later stage,we chose the design of a 3 mm aperture and 1 mm gap between holes.Therefore,we can only increase the contact area by increasing the length of thedetector and the number of detectorsin the detection system.According to the investigation,when two ends of the plastic scintillator are drilled by a five-axis CNC machine tool,60 cm long drilling can be realized.Therefore,we used Geant 4 to simulate the number of photons received by the PMT photocathode at different lengths(20 cm–60 cm),as shown in Fig.3.

Figure 3 presents the coincidence photon number spectrum received by the PMT photocathode when plastic scintillators with different lengths measured at the same time.The abscissa is the sum of the number of photons received by the two PMTs when the two PMTs capture no less than one photon at the same time,and the ordinate is the number of times this number appears in the simulation.From Fig.3,it can be seen that the spectrum of the photon number is similar to theβ-ray energy spectrum produced by tritium decay.With the increase in length,the peak position moved to the left.This is because as length increases,the self-absorption effect of the material increases during the transmission of the scintillation photon.The longer the detector,the longer the path of photon propagation,and the greater the possibility of photons emitting into the outer space of the plastic scintillator in the propagation process.This is another reason why the detection efficiency decreases with an increase in the detector length.This requires a lower noise level and a higher signal-to-noise ratio in back-end electronic devices.However,theβ-ray incident on the plastic scintillator in unit time increases linearly with the length,as shown in Table 1.At the same measurement time,according to the number of effective events based on the coincidence photoelectron number,a 60 cm long plastic scintillator captured 3,735,924 times,and a 20 cm long plastic scintillator was captured 1,395,343 times.Using a detector with a length of 60 cm was the optimal choice within the allowable range of the processing level as this saves approximately 2.68 timesthe measurement time when compared to a 20 cm detector.The detection efficiency in this study is based on the effective emission volumes,and the beta particles generated beyond 5μm from the surface of the plastic scintillator are not taken into account.The detection efficiency(DE)is the ratio of the number of effective events based on the coincidence photoelectron number to the number of events under certain detection conditions.

Table 1 Simulation results

Fig.3 (Color online)Comparison of coincidence photon number of PMT with different lengths of plastic scintillators

where D is the number of effective events based on coincidence photoelectron number,N is the number of events.

Under the same tritiated water concentration and the same detection time,different sizes of detectors were simulated.When the aperture and the gap between holes are fixed,the length of the plastic scintillator is proportional to the number of electron incidents,which can better observe the relationship between the detection efficiency and length.The probability of particle deposition energy in a plastic scintillator is independent of the detector length.The simulation results are presented in the table below.

When the length of the detector increases from 20 to 60 cm,the detection efficiency of the detector decreases from 4.19 to 3.74%(the quantum efficiency of the PMT is considered in the simulation,that is,when PMTs capture no less than one photoelectron at the same time,we believe that the detector successfully detects an effective case).With an increase in length,the detection efficiency decreases.This is because as the length increases,the selfabsorption effect of the material increases during the transmission of thescintillation photon.However,owing to the increase in length,the contact area between tritiated water and the detector increases,and the number of particles incident on the detector per unit time increases.The number ofβ-rays received by the detector with a length of 60 cm per unit time was three times that of the detector with a length of 20 cm.Using a detector with a length of 60 cm was the optimal choice within the allowable range of the processing level.It saves approximately three times the measurement time compared to a 20 cm detector.

3.4 Study on whether inner wall is polished of borehole

The energy deposited by theβ-ray in the plastic scintillator generates scintillation photons,and the scintillation photons propagate in the plastic scintillator to the PMT at both ends.During the propagation of scintillation photons in aplastic scintillator,multiplereflections,refractions,and absorption occur between the tritiated water and theplastic scintillator interface.It is great significance to study the influence of the polishing of the inner wall on the number of photons collected by the PMT photocathode.The influence of that on the photon number received by the PMT was simulated using Geant 4.As shown in Fig.4,the bluelineisthephotoelectron number spectrum captured by two PMTs at the same time in the case of the ground internal wall of the plastic scintillator,and the green line is the photoelectron number spectrum in the case of the polished internal wall.It can be observed from the figure that when the inner wall is polished,the number of photoelectronsconverted by the PMT photocathode wasfar greater than that when the inner wall was ground.Thus,the detection efficiency of thedetector ishigher when theinner wall of the plastic scintillator aperture is polished.

Fig.4 (Color online)Comparison of coincidence photoelectron number of whether inner wall is polished

3.5 Simulation results

As seen above,when the diameter of the plastic scintillator is 5 cm and the length is 60 cm.The performance of the detector is at its best when 105 boreholes are drilled parallel to the axis,the aperture is 3 mm,the gap between holes is 1 mm,and the inner wall of the borehole is polished.On the left side of Fig.5,the red line is the normalized distribution of theβ-ray energy generated by tritium decay,and the blue line is the normalized distribution of the deposition energy simulated by Geant 4.Because the physical process of G4EmLivermorePhysics has poor simulation accuracy below 1 keV,the curve below 1 keV is abnormal as seen in Fig.5.From the diagram,it can be found that the peak value of theβ-ray produced by tritiated water decay is approximately 3 keV,while the peak value of the deposited energy in the plastic scintillator isapproximately 6 keV.Thereason for thepeak shift to the right is that a part of the relatively high-energy(the right side of the peak)β-rays loses some energy in water before they are incident on the plastic scintillator,and some of the relatively low-energy(the left side of the peak)β-rays are not incident on the plastic scintillator and they lose energy completely.The right figure shows the result obtained by Geant 4 when the length of the plastic scintillator is 60 cm.The red line is the number spectrum of thescintillation photonsproduced by incidentβ-raysin a plastic scintillator.The abscissa is the number of scintillation photons,and the ordinate is the number of times the number appears.The green line represents the number of photons captured by a PMT when these photons are simultaneously captured by two PMTs at the same time.The abscissa is the number of photons captured by the PMT,and the ordinate is the number of times the number appears.The blue line represents the spectrum of photoelectronscaptured by a PMTwhen thesephotoelectronsare captured by two PMTssimultaneously after considering the quantum efficiency of the PMT.The quantum efficiency curve was added to the Geant 4 simulation program by sampling.A total of 100 millionβ-ray emissions were simulated in tritiated water within 5μm from the surface of the plastic scintillator.Among them,4839,367β-rays deposited energy in plastic scintillation to generate scintillation photons,and the number of photoelectrons captured by PMTs at both ends was 3735,924.In other words,in the effectiveβ-ray emission volume,approximately 4.84%of theβ-rays deposit energy in the plastic scintillation to generate scintillation photons,and approximately 77%of the scintillating photons are captured by both ends of the PMT while generating electronic signals.For the effectiveβ-ray emission volume,the detection efficiency(5μm water layer)of the detector(60 cm long)was approximately 3.74%.Based on this data,we can calculate the number of pulses detected per unit time according to the activity of theβ-ray.

Fig.5 (Color online)The figure on the left is the normalized energy spectrum.Red is the normalized energy spectrum ofβ-rays produced by the decay of tritiated water.Blue is the normalized energy spectrum of the deposited energy incident on the plastic scintillator.The figure on the right is the number spectrum of photons and photoelectrons,red is the spectrum of scintillation photons generated byβ-ray deposition energy,green is the spectrum of coincidence photons captured by two PMTs,and blue is the spectrum of coincidence photoelectron

Geant 4 was used to simulate a set of detection systems measuring for 3 h.Counting statistics of tritiated water with different activities are shown in Fig.6.The abscissa in Fig.6 refers to the number of effective events with different tritiated water activities detected by the detector when measured for 3 h by Geant 4 simulation.Theordinate is the number of times this number appears in the simulation.We simulated 100 millionβ-rays emission eventsin the effective volume.It can be seen from Fig.6 that the number of effective events in tritiated water with different activities is a Gaussian distribution.After calculation,when the activity is from 100 to 10,000 Bq/L,the resolution is 16.13%(16 Bq/L),7.35%,5.10%,3.55%,2.87%,2.50%,2.20%,2.04%,1.86%,1.73%,1.64%,and 1.50%(150 Bq/L).The detection system can theoretically realize online measurement of tritiated water activity as low as 100 Bq/L.The simulation of the detection system shows that it successfully realizesthe online measurement of lowactivity tritiated water and reduces the single measurement time of the offline liquid scintillation method from to 2–3 days to 3 h.

Fig.6 (Color online)Counting statistics of tritiated water with different concentrations when measured by a singledetector in Geant 4 simulation for 3 h

3.6 Hypothesis of background count and minimum detectable concentration(MDC)

There are several other radionuclides in the liquid effluent of a nuclear power plant,except3H,likE14C,54Mn,137Cs,58Co,60Co.Theβ-ray generated by its decay affects the measurement results.Because the concentrationsof54Mn,137Cs,58Co,and60Co weremuch lower than14C,14C was used as the background source,and the minimum detectable activity concentration(MDC)of the detector was analyzed.The concentration of14C in the liquid effluent was 37.6 Bq/L.Because the range of rays generated by the decay of14Cismuch higher than that ofβ rays generated by the decay of tritiated water,the effective volume of14C asthe background source isthe total volume of tritiated water in the detector(0.42 L).The activities of14Cin theeffectivevolumewerecalculated to be15.79 Bq.Assuming that the measurement time is 3 h,the energy spectrum of14C deposited in plastic scintillator are simulated,and the background count within 0–18.6 keV can be calculated as 118.7.The minimum detectable activity concentration(MDC)applies the formula proposed by Currie in 1968:

where LD(Bq)istheminimum determinablelimit;Btisthe background count of regions of interest;εmis the detection efficiency;T(s)is the measuring time;Iβis the energy branching ratio corresponding toβ-ray;and V(L)is the effective volume of samples.Bt=118.7,εm=3.74%,T=10,800 s,Iβ=1.Thus,the minimum detectable concentration was 38.86 Bq/L.

In the liquid effluent of the primary loop of the nuclear power plant,the concentration of14C as the background source was 37.6 Bq/L.Considering the influence of background counts,the minimum detectable concentration(MDC)of3H can get to 38.86 Bq/L when the system is detected for 3 h.

4 Other details of the detection system

Because the environment of liquid tritium activity measurement is complicated,the liquid effluent of a nuclear power plant istaken asan example,which also containsthe influenceofα,γ,high-energy β-rays,and cosmic rays.This method is different from the offline liquid scintillation method.The liquid scintillation method can remove the influence of other rays through physical and chemical methods.To achieveonlinereal-timemeasurementwiththis detection system,the energy spectrum of rays in tritiated water mustbeobtained throughback-end electronic devices.However,the detection system cannot identify α,β,and γ raysby waveform[24–26].Through the analysisand quantitativeresearchof theenergy spectrum,wecanidentify and filter effective low-energyβ-rays.In general,it is still necessary to simulate the energy deposition of different rays in thedetectionsystemusing Geant4toprovideabasisfor later energy spectrumanalysis.Finally,theaccuracy of theenergy spectrum analysis was verified based on the experimental measurement data.

The nuclear power plant needs to sample its liquid effluent regularly and measure its activity using the liquid scintillation method.The detection system can be compared with the liquid scintillation method of measuring the samesample.Theaccuracy of theenergy spectrum analysis method was verified based on the measurement results of the liquid scintillation method.If the energy spectrum analysis scheme cannot achieve a better elimination of the effects of other rays,the liquid to be tested can be purified by an ultrapure water machine to eliminate the effects of other radionuclides.At the same time,the water purification system can eliminate the pollution of plastic scintillators by algae and pollutants in the water to prevent degradation of its detection performance.

Because of the low-energyβ-ray deposition energy,the signal amplitude output by the PMT is small,which requires the back-end electronic devices to have large magnification and low noise level,so that the online detection of tritiated water activity based on plastic scintillators can become a reality.Simultaneously,the backend electronic device designed a mode conversion function.In a later stage,it is necessary to identify the effective low-energyβ-ray counts according to the difference in the energy spectrum.According to the collocation of the plastic scintillator and PMT,weusea500MSPSADCchip.Because this sampling rate ensures that there are no less than four sampling points at the rising edge,the obtained pulse height can be relatively accurate.In addition,a high sampling rate can greatly reduce the time window of two PMT coincidence judgments,and greatly reduce the probability of false counting of the PMT dark current.

Presently,the processing of the detector and the design of back-end electronic devices have been completed.Electronic devicesincludetwo PMT output preamplifiers,a dual-channel 500 MHz sampling data board,and a network communication board.The network communication board corresponds to an IP address.A network communication board can connect five data acquisition boards;that is,an IPaddress can connect five detectors.Through the switch,a PC can connect multiple network boards,which can double the number of detectors.Today,with the adoption of a bill by the Japanese Cabinet Parliament to discharge radioactive wastewater into the Pacific Ocean,two years later,radioactive wastewater may contain radionuclides such as90Sr,137Cs,14C,and129I.There are obvious differences between γ-rays and β-rays produced by these major radionuclide decays.The detector system has the function of energy spectrum acquisition.Through in-depth simulation research and energy spectrum analysis,the detection system is expected to become an effective means for online real-time monitoring of multiple particle concentrations in wastewater.

5 Conclusion

This study mainly concluded the following:The range ofβ-rays produced by tritium decay is within 5 μm in a plastic scintillator and water.Calculations show that when the plastic scintillator’s borehole inner wall is polished,the detection efficiency of the detector is higher than that of a detector with a ground inner wall.Through the Geant 4 simulation,when the detector was 5 cm in diameter and 60 cm in length,105 densely arranged boreholes were drilled parallel to the axis.The aperture was 3 mm and the gap between holes was 1 mm.The detector had the best performance considering the condition of the mechanical processing technology.Thesimulation showsthat when the activity is from 100 to 10,000 Bq/L,the resolution is 16.13%(16 Bq/L),7.35%,5.10%,3.55%,2.87%,2.50%,2.20%,2.04%,1.86%,1.73%,1.64%,and 1.50%(150 Bq/L).The detection system can theoretically realize online measurements of tritiated water activity to as low as 100 Bq/L.After calculation,when the detector has the optimal performance determined in this paper,the activity of14C,which is the main background source in the liquid effluent of a nuclear power plant,is 37.6 Bq/L,and the minimum detectable concentration of3H can reach 38.86 Bq/L in the detection system for 3 h.Thisstudy aims to change the current situation in which nuclear power plants can only measure tritiated water activity offline.It provides a real-time online measurement method for tritiated water activity monitoring in nuclear power plants and solves the problem of continuous production of radioactive waste using the liquid scintillation method.Currently,sewage treatment plants haveβ-ray activity detection requirements,and the detection system studied has a huge market space.In future nuclear power plants dominated by nuclear fusion reactions,there are more ways to produce liquid tritium and more monitoring points that require online measurement,which enables the detection system’s broad application prospects.

Author contributionsAll authors contributed to the study conception and design.Material preparation,data collection and analysis were performed by Rui-Yang Xu,Chun-Hui Dong,Xiao-Qing Mao,and Qing-Xian Zhang.The first draft of the manuscript was written by Rui-Yang Xu and all authors commented on previous versions of the manuscript.All authors read and approved the final manuscript.