Radiological Dose Assessment of the Landﬁll Disposal of Consumer Products Containing Naturally Occurring Radioactive Materials in South Korea

: Naturally occurring radioactive materials (NORMs) are long-lived radioactive elements such as uranium, thorium, and potassium, and theirdecay products. They are abundant in natural rocks and minerals. In this study, we conducted a radiological dose assessment of the disposal of consumer products (CPs) containing NORMs at landﬁlls and incinerators in South Korea. Household wastes were categorized as combustible and noncombustible on the basis of activity concentrations (ACs) ranging below and above 1 Bq/g, respectively. Analysis data were obtained from previous literature and the Nuclear Safety and Security Commission (NSSC) of South Korea, and statistical analysis was performed using an interval plot and 95% conﬁdence interval of mean for each category as an input. Using RESRAD computer codes for noncombustible CPs with AC below and above 1 Bq/g, we found out that the dose rate was below and above 1 mSv/y, respectively. The RESRAD-OFFSITE results showed that the dose incurred during the study period for both ranges of AC was all below the public dose limit of 1 mSv/y. NORM and LegacY Site Assessment (NORMALYSA) code was used to validate the result of the RESRAD-ONSITE code, and the results showed that the dose was equal to and above 1 mSv/y for ACs below and above 1 Bq/g, respectively. HotSpot code was used for dose evaluation to offsite residents from incineration of combustible CPs, and the resulting dose was below 1 mSv/y. These ﬁndings can be used as a guideline for managing public exposure from landﬁll sites with varying ACs ranges. Therefore, the competent authority should ensure that criteria and protection measures are established for people who live within a distance of 10 km from incinerators and landﬁll sites that are contaminated with consumer products containing NORMs.


Introduction
Natural radionuclides are found in all minerals and raw materials, the most important of which are radionuclides in the 238 U and 232 Th decay series, as well as 40 K. In most human activities involving minerals and raw materials, exposure to these radionuclides is not significantly higher than normal background levels. However, human activities such as uranium mining can result in significantly high radiation exposures that may require regulation. Naturally occurring radioactive materials (NORMs) [1] cause these increased exposures. There are two ways people can be exposed to NORMs: external exposure, where the source remains outside the body, and internal exposure, where radioactive material is carried into the body through inhalation, ingestion, or absorption. Exposure to NORMs does not have the same acute and severe impacts as exposure to high radiation levels from artificial sources. Chronic NORM exposure exceeding the general public's exposure guidelines or occurring in the absence of proper safety precautions may result in delayed effects such as the development of certain cancers [2]. These NORMs can be found in a variety of applications, ranging from household to industrial applications, and their radioactive materials (TENORMS), VLLW, and other industrial wastes on landfills have been conducted, as well as studies on the use of RESRAD, HotSpot, and NORM and LegacY Site Assessment (NORMALYSA) codes. However, no study has been performed on the uncontrolled disposal of CPs containing NORMs via landfills and incineration, considering that such materials are used in everyday life and might be disposed of alongside other household wastes, which may result in uncontrolled radiation exposure [16][17][18][19]. Similar studies have also been conducted to model radiological doses from sites contaminated with artificial radionuclides such as 137 Cs, 129 I, and 14 C [20]. Several studies have been conducted to assess radiological dose from the use of CPs containing NORMs; however, less attention has been paid to assessing radiological dose from the landfill disposal of CPs containing NORMs. This study performs a radiological dose assessment from the landfill disposal of CPs containing NORMs to the public in South Korea. This study is critical because understanding the estimation of radiation doses to members of the public living around landfill sites enables the competent authority to determine how the general public can be protected from an uncontrolled radiation exposure.

CPs Containing NORMs
In this study, 225 raw data containing specific ACs of various CPs containing NORMs were obtained from previous literature and the database of Nuclear Safety and Security Commission (NSSC) in South Korea. The data were grouped into two categories on the basis of combustible and noncombustible CPs containing NORMs. To take care of the outliers in data representation, we further them grouped in two categories according to the range of AC that is below and above 1 Bq/g. The mean specific activity for various product concentration ranges was obtained and statistically analyzed using an interval plot in Minitab for 238 U, 232 Th, and 40 K with a 95% confidence interval for the mean of each product for different concentration ranges. An assumption was made that, after the incineration of CPs containing NORMs, ash residues are disposed of in landfills, which contributes to a slight increase in the AC of NORM-added CPs at landfill sites. Therefore, the total specific ACs of combustible and noncombustible CPs containing NORMs were used as input data to RESRAD codes in Bq/g to determine the exposure dose to onsite and offsite residents at a landfill disposal facility. The 95% confidence interval for the mean specific ACs of all radionuclides in question is summarized in Figure 1.
Appl. Sci. 2021, 11, x FOR PEER REVIEW 3 of 17 Atomic Energy Licensing Act 1984, Act 304, and the Guidelines LEM/TEK/30 SEM.2, September 1996, for the landfill disposal of NORM wastes in Malaysia. Most of Malaysia's NORM issues are related to tin mining, mineral sand processing, and oil production [15]. Several studies on the disposal of NORMs, technologically enhanced naturally occurring radioactive materials (TENORMS), VLLW, and other industrial wastes on landfills have been conducted, as well as studies on the use of RESRAD, HotSpot, and NORM and Leg-acY Site Assessment (NORMALYSA) codes. However, no study has been performed on the uncontrolled disposal of CPs containing NORMs via landfills and incineration, considering that such materials are used in everyday life and might be disposed of alongside other household wastes, which may result in uncontrolled radiation exposure [16][17][18][19]. Similar studies have also been conducted to model radiological doses from sites contaminated with artificial radionuclides such as 137 Cs, 129 I, and 14 C [20]. Several studies have been conducted to assess radiological dose from the use of CPs containing NORMs; however, less attention has been paid to assessing radiological dose from the landfill disposal of CPs containing NORMs. This study performs a radiological dose assessment from the landfill disposal of CPs containing NORMs to the public in South Korea. This study is critical because understanding the estimation of radiation doses to members of the public living around landfill sites enables the competent authority to determine how the general public can be protected from an uncontrolled radiation exposure.

CPs Containing NORMs
In this study, 225 raw data containing specific ACs of various CPs containing NORMs were obtained from previous literature and the database of Nuclear Safety and Security Commission (NSSC) in South Korea. The data were grouped into two categories on the basis of combustible and noncombustible CPs containing NORMs. To take care of the outliers in data representation, we further them grouped in two categories according to the range of AC that is below and above 1 Bq/g. The mean specific activity for various product concentration ranges was obtained and statistically analyzed using an interval plot in Minitab for 238 U, 232 Th, and 40 K with a 95% confidence interval for the mean of each product for different concentration ranges. An assumption was made that, after the incineration of CPs containing NORMs, ash residues are disposed of in landfills, which contributes to a slight increase in the AC of NORM-added CPs at landfill sites. Therefore, the total specific ACs of combustible and noncombustible CPs containing NORMs were used as input data to RESRAD codes in Bq/g to determine the exposure dose to onsite and offsite residents at a landfill disposal facility. The 95% confidence interval for the mean specific ACs of all radionuclides in question is summarized in Figure 1.

Scenario Description
The structural diagram for the assumed disposal scenarios for CPs NORMs is shown in Figure 2.

Scenario Description
The structural diagram for the assumed disposal scenarios for CPs NORMs is shown in Figure 2.

Scenario of Landfill Disposal
In this study, we assumed that noncombustible wastes from NORM-added CPs and ash residues from the incineration of NORM-added CPs are disposed of at landfill sites with other household wastes in South Korea. To calculate potential exposure dose from the landfill disposal of CPs, the following assumptions were made. According to Korea Statistics 2018, the total number of landfill sites in South Korea is 275, and 7221.15 tons of household waste are disposed of in landfills. The total mass of household waste disposal per site would approximately be 26.26 tons/day. In South Korea, landfill sites cover an area of 659 m 2 .

Scenario of Incineration
Combustible wastes from NORM CPs are disposed of by incineration. The following assumptions were made in estimating the potential exposure dose from incineration of wastes from NORM-added CPs; the total number of incinerators in South Korea is 382, according to Korea Statistics 2018. Incineration is used to dispose of 13,319 tons of household waste per day. The total amount of household waste incinerated in each incinerator per day is approximately 34.86 tons/day or 34,866 kg. The specific ACs for the incineration of various CPs containing NORMs were categorized into two ranges: below and above 1 Bq/g. For each category, the most exposed individuals are the offsite residents who live 200 m from the incinerator, and this was the basis used to evaluate dose using HotSpot computer code. Because HotSpot uses total activity (Bq) to estimate the offsite dose, the total AC based on the total mass of wastes burned by one incinerator was used as an input to the HotSpot code. The new input data for the HotSpot code is summarized in Table 1.

Scenario of Landfill Disposal
In this study, we assumed that noncombustible wastes from NORM-added CPs and ash residues from the incineration of NORM-added CPs are disposed of at landfill sites with other household wastes in South Korea. To calculate potential exposure dose from the landfill disposal of CPs, the following assumptions were made. According to Korea Statistics 2018, the total number of landfill sites in South Korea is 275, and 7221.15 tons of household waste are disposed of in landfills. The total mass of household waste disposal per site would approximately be 26.26 tons/day. In South Korea, landfill sites cover an area of 659 m 2 .

Scenario of Incineration
Combustible wastes from NORM CPs are disposed of by incineration. The following assumptions were made in estimating the potential exposure dose from incineration of wastes from NORM-added CPs; the total number of incinerators in South Korea is 382, according to Korea Statistics 2018. Incineration is used to dispose of 13,319 tons of household waste per day. The total amount of household waste incinerated in each incinerator per day is approximately 34.86 tons/day or 34,866 kg. The specific ACs for the incineration of various CPs containing NORMs were categorized into two ranges: below and above 1 Bq/g. For each category, the most exposed individuals are the offsite residents who live 200 m from the incinerator, and this was the basis used to evaluate dose using HotSpot computer code. Because HotSpot uses total activity (Bq) to estimate the offsite dose, the total AC based on the total mass of wastes burned by one incinerator was used as an input to the HotSpot code. The new input data for the HotSpot code is summarized in Table 1.

Methodology of RESRAD-ONSITE
Argonne National Laboratory developed the RESRAD family of codes in the 1980s to analyze potential human and biota radiation exposures from the environmental contamination of RESRAD materials. The codes use pathway analysis to estimate radiation exposure and associated risks and develop cleanup criteria for radionuclide concentrations in the contaminated source medium. RESRAD uses a pathway analysis method to track radionuclide transport in the environment (soil, water, and air) and model how these radionuclides reach the receptor through direct exposure, ingestion, and inhalation. The code uses various dose coefficients, such as age and gender-specific DCs and methodology-based DCs from the International Commission on Radiological Protection (ICRP) publications 26, 30, and 60 [21][22][23]. The RESRAD-ONSITE computer code estimates the radiological dose and excess cancer risk to an individual who is exposed while living or working in a radionuclide-contaminated area. The RESRAD-ONSITE code has continuously improved in response to feedback from users and sponsors. The RESRAD team has participated in many national and international model intercomparison studies in which both hypothetical and actual contaminated site-based scenarios were analyzed using RESRAD-ONSITE [24]. We assumed a resident scenario with a person settling on a former landfill site to simulate radiological dose using RESRAD-ONSITE. We assumed an urban resident scenario where the resident does not consume any food or water from the contaminated site because most South Koreans live in suburban areas. The pathways considered were external irradiation and inhalation. The code uses a Gaussian plume model, where the radionuclide concentration and plume are constant and do not change with time.

Methodology of RESRAD-OFFSITE
RESRAD-OFFSITE evaluates the radiological dose and excess cancer risk to an individual who is exposed while living or working in or near a radionuclide-contaminated area [25]. It evolved from RESRAD-ONSITE during the BIOMOVS II model comparison first by adding an offsite soil accumulation submodel (BIOMOVS II 1995) and then including an adjective-dispersive groundwater transport submodel (BIOMOVS II 1996). In this study, the ability to accept a time series for release from contaminated soil was also added. During participation in the multimedia model comparison study, the adjective-dispersive groundwater transport submodel was improved to better predict the transport of progeny produced in transit. An atmospheric transport submodel and a surface water body accumulation submodel were added. The computational algorithm of the RESRAD-OFFSITE code differed from that of RESRAD-ONSITE. RESRAD-ONSITE numerically evaluates the analytical expressions for concentration, dose, and risk at any desired time since the site survey, whereas RESRAD-OFFSITE numerically computes the concentration, dose, and risk progressively over time. To simulate radiological dose using RESRAD-OFFSITE, we assumed an offsite resident scenario, where a person lives within the vicinity of a landfill. Another assumption was that the person would not consume any food or water from the contaminated site; the exposure pathways considered were inhalation and external irradiation. The code uses a Gaussian plume model, where the radionuclide concentration and plume remain constant over time.

Methodology of HotSpot
The HotSpot Health Physics Codes were developed to provide emergency responders and planners with a fast, field-portable set of software tools for evaluating radioactive material incidents. The software is also used for safety analyses of nuclear material handling facilities [26]. In unobstructed terrain and simple meteorological conditions, the HotSpot atmospheric dispersion models are designed for near-surface releases, short range (less than 10 km) dispersion, and short-term (less than 24 h) release durations. These models provide fast and conservative means of estimating the radiation effects associated with the radioactive material released into the atmosphere. The HotSpot radionuclide Library includes Federal Guidance Reports 11, 12, and 13 (FGR-11, FGR-12, and FGR-13) dose conversion factors (DCFs) for inhalation, submersion, and ground shine. FGR-12 DCF values are used for submersion and ground shine. In addition to inhalation, 50-year Committed Effective Dose Equivalent DCFs, acute (1, 4, and 30 days) DCFs are available for estimating deterministic effects. This acute mode is used to estimate the immediate radiological impact of high-acute radiation doses (applicable target organs are the lung, small intestine wall, and red bone marrow). The Department of Energy funds the HotSpot Health Physics Codes' ongoing maintenance and development. Since 1988, the HotSpot program has been distributed worldwide. HotSpot codes are conservative (estimated radiation dose data are usually greater) estimates of the radiation effects associated with the radioactive material atmospheric release. HotSpot codes provide a first-order approximation of radiation effects due to the atmospheric release of radionuclides. The code evaluates any incidents involving radioactive substances so that the first responder can take appropriate measures to respond to the incidents.

Governing Equation of RESRAD and HotSpot
RESRAD-ONSITE, RESRAD-OFFSITE, and HotSpot computer codes all use a Gaussian plume model derived from a three-dimensional (3-D) equation for atmospheric diffusion to evaluate radionuclide concentration. The 3-D diffusion equation for atmospheric diffusion is given as follows: x, y, and z = downwind, cross-wind, and vertical directions, and P x , P y , P z = diffusivity in x-, yand z-directions, respectively. The Gaussian plume model is given by the following equation: However, if the σ z exceeds the inversion height (L), the following relation is used: where T = time-integrated atmospheric concentration (Ci-s)/(m 3 ); R = source term (Ci); H = effective release height (m); λ = radioactive decay constant (s-1); x = downwind distance (m); y = crosswind distance (m); z = vertical axis distance (m); σ y = standard deviation of integrated concentration distribution in the crosswind direction (m); σ z = standard deviation of the integrated concentration distribution in the vertical direction (m); u = average wind speed at the effective release height; L = inversion layer height (m); PDF(x) = plume depletion factor.

Methodology of NORMALYSA
NORMALYSA is a software designed to simulate radionuclide transport from a source, such as a radioactively contaminated land, to relevant receptors in the environment (e.g., residential areas, agricultural areas, and water bodies) and calculate radiation exposure doses to humans [27]. NORMALYSA was developed in Sweden by Facilia AB with support from the IAEA. It has been tested and benchmarked against other similar software tools as part of the IAEA-Modeling and Data for Radiological Impact Assessments project Work Group 3 (NORM and Radioactively Contaminated LegacY Sites) activities. It is summarized into four modeling steps of estimating the radiological dose from different pathways. The NORMALYSA modeling steps are shown in Table 2.

Modelling Steps Description
Context model options To define model structure Time series parameters To specify parameters models Simulation To carry out calculation Charts, tables, and reports To analyze and report results Figure 3 summarizes the four main libraries of NORMALYSA. The "Sources" library includes modules for calculating radionuclide releases (source term) from uranium mill and other radioactively contaminated lands. The "Transports" library includes modules for calculating radionuclide transport from the contaminated source to different receptors through atmospheric, groundwater, or surface runoff. The "Receptors" library includes modules for calculating radionuclide transfer and redistribution processes in different receptor environments. The doses are calculated for various relevant exposure pathways (e.g., external irradiation, inhalation, and ingestion) and can be summed into a total annual effective dose in Sv/year. NORMALYSA uses the previously recommended and documented environmental transport and exposure assessment models that are relatively simple. In particular, NORMALYSA uses models used in the Swedish Nuclear Fuel and Waste Management Company's safety assessment of radioactive waste disposal facilities and generic models recommended by the IAEA (e.g., from the IAEA SRS-19 report).
x = downwind distance (m); y = crosswind distance (m); z = vertical axis distance (m); = standard deviation of integrated concentration distribution in the crosswind direction (m); = standard deviation of the integrated concentration distribution in the vertical direction (m); u = average wind speed at the effective release height; L = inversion layer height (m); PDF(x) = plume depletion factor.

Methodology of NORMALYSA
NORMALYSA is a software designed to simulate radionuclide transport from a source, such as a radioactively contaminated land, to relevant receptors in the environment (e.g., residential areas, agricultural areas, and water bodies) and calculate radiation exposure doses to humans [27]. NORMALYSA was developed in Sweden by Facilia AB with support from the IAEA. It has been tested and benchmarked against other similar software tools as part of the IAEA-Modeling and Data for Radiological Impact Assessments project Work Group 3 (NORM and Radioactively Contaminated LegacY Sites) activities. It is summarized into four modeling steps of estimating the radiological dose from different pathways. The NORMALYSA modeling steps are shown in Table 2.

Modelling Steps Description Context model options
To define model structure Time series parameters To specify parameters models Simulation To carry out calculation Charts, tables, and reports To analyze and report results Figure 3 summarizes the four main libraries of NORMALYSA. The "Sources" library includes modules for calculating radionuclide releases (source term) from uranium mill and other radioactively contaminated lands. The "Transports" library includes modules for calculating radionuclide transport from the contaminated source to different receptors through atmospheric, groundwater, or surface runoff. The "Receptors" library includes modules for calculating radionuclide transfer and redistribution processes in different receptor environments. The doses are calculated for various relevant exposure pathways (e.g., external irradiation, inhalation, and ingestion) and can be summed into a total annual effective dose in Sv/year. NORMALYSA uses the previously recommended and documented environmental transport and exposure assessment models that are relatively simple. In particular, NORMALYSA uses models used in the Swedish Nuclear Fuel and Waste Management Company's safety assessment of radioactive waste disposal facilities and generic models recommended by the IAEA (e.g., from the IAEA SRS-19 report).  In this study, we used the contaminated land module, which simulates contaminated land where individuals can be exposed through external irradiation, inhalation, and inadvertent ingestion of contaminated soil, although the ingestion pathway was not considered. The mathematical models used are as follows: Mass balance equation for soil media is given by the following equation: The dose from occupancy outdoors was also used to calculate the total annual effective dose to receptors during outdoor activities. The exposure pathways considered were external exposure and inhalation pathway. Finally, the total dose module was used to calculate the sum of all relevant radionuclides and exposure pathways; the total dose is given by the following equation: where Dose_(ext, total) = Total dose from external exposure; Dose_(inh, total) = total dose from inhalation exposure.
The NORMALYSA modules used in the current study are summarized in Figure 4. Table 3 summarizes the advantages and disadvantages of models used by various computer codes in this study.  Figure 4 shows the results for RESRAD-ONSITE for a resident scenario with AC below and above 1 Bq/g. In this scenario, we calculated the total dose (mSv/y) obtained from RESRAD-ONSITE with AC ranges below and above 1 Bq/g for an onsite resident who settles on a former landfill site contaminated with CPs containing NORMs. The pathways considered were inhalation and external exposure pathways using a modeling period of 40 years. The radiological dose rate for ACs above 1 Bq/g, as indicated by the orange values, was high, with a maximum value of 2.30E + 01 mSv/y. This was due to the high AC that is caused by the inhalation of radon and thoron decay products with little contribution to the external pathway from the decay of 40 K. The radiological dose for AC below 1 Bq/g, indicated by the blue line, shows that the values were all below the ICRP-recommended public dose limit of 1 mSv/y, with a maximum value of 8.80E-01 mSv/y because of the low AC considered in the simulation.  Figure 5 shows the total dose rate (mSv/y) obtained from the RESRAD-OFFSITE scenario with AC ranges below and above 1 Bq/g. In this scenario, the offsite resident was assumed to live within the vicinity of a landfill site but does not eat or drink water from the contaminated site. The only exposure pathway considered in this scenario was the inhalation of radon and thoron decay products of NORMs over a 40-year modeling period. The total dose for both categories of AC is below the ICRP-recommended public dose limit of 1 mSv/y, with the highest dose of 5.28e-03 mSv/y for AC below 1 Bq/g and 0.132 mSv/y for AC above 1 Bq/g, respectively. These results show that it is safe for people to reside within a vicinity of a landfill site as offsite residents.

Results
In this scenario, we assumed that no meat and milk obtained from the site would be consumed and that the water used for drinking would come from a non-contaminated source. External irradiation and inhalation pathways were considered. The external pathway was used in this study because one of the NORM used was potassium 40, which emits both beta particles and gamma rays that humans are exposed to externally. Uranium and thorium are alpha emitters and lack the energy to penetrate even the outer layer of the skin, and therefore external exposure is not the main concern; however, they can be fatal when inside the body. The input values used in RESRAD codes are shown in Table 4. Figure 4 shows the results for RESRAD-ONSITE for a resident scenario with AC below and above 1 Bq/g. In this scenario, we calculated the total dose (mSv/y) obtained from RESRAD-ONSITE with AC ranges below and above 1 Bq/g for an onsite resident who settles on a former landfill site contaminated with CPs containing NORMs. The pathways considered were inhalation and external exposure pathways using a modeling period of 40 years. The radiological dose rate for ACs above 1 Bq/g, as indicated by the orange values, was high, with a maximum value of 2.30E + 01 mSv/y. This was due to the high AC that is caused by the inhalation of radon and thoron decay products with little contribution to the external pathway from the decay of 40 K. The radiological dose for AC below 1 Bq/g, indicated by the blue line, shows that the values were all below the ICRP-recommended public dose limit of 1 mSv/y, with a maximum value of 8.80E-01 mSv/y because of the low AC considered in the simulation. Figure 5 shows the total dose rate (mSv/y) obtained from the RESRAD-OFFSITE scenario with AC ranges below and above 1 Bq/g. In this scenario, the offsite resident was assumed to live within the vicinity of a landfill site but does not eat or drink water from the contaminated site. The only exposure pathway considered in this scenario was the inhalation of radon and thoron decay products of NORMs over a 40-year modeling period. The total dose for both categories of AC is below the ICRP-recommended public dose limit of 1 mSv/y, with the highest dose of 5.28e-03 mSv/y for AC below 1 Bq/g and 0.132 mSv/y for AC above 1 Bq/g, respectively. These results show that it is safe for people to reside within a vicinity of a landfill site as offsite residents.     Table 5 summarizes all input parameters considered in calculating radiological dose from the incineration of CPs containing NORMs. The HotSpot module considered in this study was the general fire module. As shown in Figure 6, the highest dose for stability class A was 0.47 mSv/y at a distance of 0.03 km from the release point for AC below 1000 Bq/kg. The dose dispersed within a distance of 10 km from the release point depends on the stability class, receptor height, long sampling time used, and the effect of meteorological conditions considered in the study. Thin lines were used for clarity. Therefore, people living within the vicinity of 10 km from the release point tend to be more exposed than those living outside the boundary of the release point. As shown in Figure 7, the highest dose for stability class A at a distance of 0.03 km from the release point for ACs above 1000 Bq/kg was 4.3 mSv/y, which was above the ICRP-recommended public dose limit of 1 mSv/y. Just as shown in Figure 6, thin lines were used for clarity. The dose shown in Figure 8 was much higher than the dose shown in Figure 6 because of the high AC above 1000 Bq/kg. People are not advised to live within 10 km of the incinerator because it makes them prone to higher exposure doses. As shown in Figure 7, the highest dose for stability class A at a distance of 0.03 km from the release point for ACs above 1000 Bq/kg was 4.3 mSv/y, which was above the ICRP-recommended public dose limit of 1 mSv/y. Just as shown in Figure 6, thin lines were used for clarity. The dose shown in Figure 8 was much higher than the dose shown in Figure 6 because of the high AC above 1000 Bq/kg. People are not advised to live within 10 km of the incinerator because it makes them prone to higher exposure doses.  A similar scenario used in RESRAD-ONSITE code was used in NORMALYSA to validate the dose obtained from RESRAD-ONSITE. External exposure and inhalation were the pathways considered. Radionuclide concentrations in the contaminated landfill and air of the contaminated site were used as input data for dose calculations. Table 6 summarizes all input parameters used in calculating the dose using NORMALYSA computer code.  A similar scenario used in RESRAD-ONSITE code was used in NORMALYSA to validate the dose obtained from RESRAD-ONSITE. External exposure and inhalation were the pathways considered. Radionuclide concentrations in the contaminated landfill and air of the contaminated site were used as input data for dose calculations. Table 6 summarizes all input parameters used in calculating the dose using NORMALYSA computer code. A similar scenario used in RESRAD-ONSITE code was used in NORMALYSA to validate the dose obtained from RESRAD-ONSITE. External exposure and inhalation were the pathways considered. Radionuclide concentrations in the contaminated landfill and air of the contaminated site were used as input data for dose calculations. Table 6 summarizes all input parameters used in calculating the dose using NORMALYSA computer code. The main input data to the NORMALYSA code for the exposure dose evaluation was AC, which was categorized into two groups, below and above 1 Bq/g, as used in RESRAD codes. The results for both categories of AC are summarized in Figure 8. The total dose obtained using NORMALYSA code with AC below 1000 Bq/kg over the modeling period of 40 years was 1.29 mSv/y, which is above the ICRP-recommended public dose limit of 1 mSv/y. However, the total dose from AC above 1000 Bq/kg was 32 mSv/y, which is significantly above 1 mSv/y. This high dose was due to the high AC that is mainly contributed by 232 Th. In comparison, the results from RESRAD-ONSITE and NORMALYSA codes were significantly high, and people should not settle on NORM-contaminated landfill sites without regulatory control. Figure 9 compares the results for RESRAD-ONSITE, RESRAD-OFFSITE, HotSpot, and NORMALYSA codes. For RESRAD-ONSITE, doses for ACs above 1 Bq/g were high, with a maximum value of 2.30E + 01 mSv/y, because of high ACs that are mainly contributed by the inhalation of radon and thoron decay products, whereas doses for ACs below 1 Bq/g were all below the ICRP-recommended public dose limit of 1 mSv/y, with a maximum value of 8.80E-01 mSv/y, because of a significant low AC considered in the simulation. The total dose obtained from RESRAD-OFFSITE for AC ranges below and above 1 Bq/g for an offsite resident was below the ICRP-recommended public dose limit of 1 mSv/y. Therefore, it is safe for people to reside within a vicinity of a landfill site as offsite residents. The highest dose obtained using the HotSpot code for stability class A with ACs below and above 1000 Bq/kg at a distance of 0.03 km from the release point was 0.47 mSv/y, which is below the ICRP-recommended dose limit of 1 mSv/y, and 4.3 mSv/y, which is above the ICRP-recommended public dose limit of 1 mSv/y. Higher doses were due to high ACs above 1000 Bq/kg. The total dose from NORMALYSA code with AC below 1000 Bq/kg was 1.29 mSv/y, which is above the ICRP-recommended public dose limit of 1 mSv/y, whereas the total dose from AC above 1000 Bq/kg was 32 mSv/y, which is significantly above 1 mSv/y. The high dose is attributed to the high AC, which is mainly caused by the decay of 238 U and 232 Th. Therefore, people should not settle on NORM-contaminated landfill sites without clearance from the competent authority.

Discussion
In this study, evaluation of radiological dose from landfill disposal of CPs containing naturally occurring radioactive materials in South Korea was conducted using various ranges of AC below 1 Bq/g and above 1 Bq/g. Results for RESRAD-ONSITE for AC below 1 Bq/g show that the doses were below the ICRP recommended public dose limit of 1 mSv/y for both pathways, which makes the site safe for onsite dwellers. For AC above 1 Bq/g, the dose was far above the recommended public dose limit of 1 mSv/y for all pathways considered, which makes the landfill sites hazardous for onsite dwellers; hence, the competent authority needs to provide further protection actions to ensure that the public is safe from unjustified radiation exposure. Results from RESRAD-OFFSITE show that dose from both categories of AC ranges were all below the public dose limits of 1 mSv/y, which makes it safe for offsite dwellers and visitors to live within the vicinity of a landfill site. The results of HotSpot code from incineration of NORM waste considering inhalation pathway to the offsite dwellers for AC below 1 Bq/g were all less than the public dose limit for all stability classes considered, while for AC above 1 Bq/g, the doses were all above the specified IRCP dose limit.
Thus, people living within the vicinity of 10km from the incinerator are prone to unjustified exposure from incineration of CPs containing naturally occurring radioactive materials. This is due to gaseous decay of NORMs incorporated in the incinerated waste. People living outside 10 km from the release point are safer from unjustified exposure from the incinerator. Therefore, the competent authority needs to apply a protection action for people living at a close distance to the incinerator. Comparison of results of RESRAD-ONSITE with the results of NORMALYZA code show that the dose for both categories of activity concentration are all above the public dose limit recommended by the ICRP. Therefore, it is not advisable for people to settle on a former landfill site without clearance from the competent authority. This is key to limit undue and unjustifiable radiation exposure to the general public. Comparison of results from all the codes used in this study show that landfill sites with activity concentration above 1 Bq/g are not safe for dwellers until further clearance is given from the competent authority. Moreover, evacuation is recommended for people living within the vicinity of the incinerator. This is due

Discussion
In this study, evaluation of radiological dose from landfill disposal of CPs containing naturally occurring radioactive materials in South Korea was conducted using various ranges of AC below 1 Bq/g and above 1 Bq/g. Results for RESRAD-ONSITE for AC below 1 Bq/g show that the doses were below the ICRP recommended public dose limit of 1 mSv/y for both pathways, which makes the site safe for onsite dwellers. For AC above 1 Bq/g, the dose was far above the recommended public dose limit of 1 mSv/y for all pathways considered, which makes the landfill sites hazardous for onsite dwellers; hence, the competent authority needs to provide further protection actions to ensure that the public is safe from unjustified radiation exposure. Results from RESRAD-OFFSITE show that dose from both categories of AC ranges were all below the public dose limits of 1 mSv/y, which makes it safe for offsite dwellers and visitors to live within the vicinity of a landfill site. The results of HotSpot code from incineration of NORM waste considering inhalation pathway to the offsite dwellers for AC below 1 Bq/g were all less than the public dose limit for all stability classes considered, while for AC above 1 Bq/g, the doses were all above the specified IRCP dose limit.
Thus, people living within the vicinity of 10km from the incinerator are prone to unjustified exposure from incineration of CPs containing naturally occurring radioactive materials. This is due to gaseous decay of NORMs incorporated in the incinerated waste. People living outside 10 km from the release point are safer from unjustified exposure from the incinerator. Therefore, the competent authority needs to apply a protection action for people living at a close distance to the incinerator. Comparison of results of RESRAD-ONSITE with the results of NORMALYZA code show that the dose for both categories of activity concentration are all above the public dose limit recommended by the ICRP. Therefore, it is not advisable for people to settle on a former landfill site without clearance from the competent authority. This is key to limit undue and unjustifiable radiation exposure to the general public. Comparison of results from all the codes used in this study show that landfill sites with activity concentration above 1 Bq/g are not safe for dwellers until further clearance is given from the competent authority. Moreover, evacuation is recommended for people living within the vicinity of the incinerator. This is due to the release of gaseous decay of NORMs that contaminate the atmosphere, giving rise to high inhalation dose.

Conclusions
The ICRP dose limits are intended to serve as a margin state by avoiding deterministic consequences and regulating the possibility of stochastic effects. Doses above 1 mSv/y require the implementation of public protection measures. In this study, the radiological dose from the disposal of CPs containing NORMs was performed using appropriate dose assessment tools: RESRAD-ONSITE, RESRAD-OFFSITE, HotSpot, and NORMALYSA computer codes. Household wastes containing NORM-added CPs were categorized into combustible and noncombustible CPs. These were further classified based on the range of their AC (i.e., below and above 1 Bq/g). This was to ensure that all outliers were considered to obtain a more accurate value after dose calculations. All AC values for CPs containing NORMs were below 10 Bq/g, which is acceptable by the NSSC of South Korea for the landfill disposal of such waste. The competent authority needs to apply a protection action for the people living at a close distance that is within 10 km from the incinerator and landfill sites for the purpose of public health. In previous studies, much research has been conducted on the disposal of NORMs, such as TENORMS, VLLW, and other industrial waste; however, no research has been conducted on the landfill disposal of CPs containing NORMs. CPs containing NORMs are widely used around the world, and it is critical to assess their safety, particularly how and where they are disposed of, to ensure the safety of people and the environment.