Evaluation of four Lagrangian particle concentration calculation methods-Box counting, Gaussian kernel, Uniform kernel and Parabolic kernel
YANG Li1, WANG Cun-you1, CHEN Yi-xue1, ZHUANG Shu-han2, LI Xin-peng1, FANG Sheng2
1. School of Nuclear Science and Engineering, North China Electric Power University, Beijing 102206, China; 2. Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China
Abstract:The efficiency of four concentration calculation methods for Lagrangian particle dispersion model (the Box counting, Gaussian kernel, Uniform kernel and Parabolic kernel) was investigated, by simulating the local-scale dispersion of radionuclides 137Cs released from the Fukushima Daiichi nuclear accident. The meteorological diagnostic model CALMET was used to calculate the input wind field for the Lagrangian particle dispersion model LAPMOD. The simulated 137Cs concentrations were validated with measured data at the Futaba and Naraha monitoring stations. The four methods successfully reproduce most of the measured peaks at the two stations (average FAC10 of Futaba: 0.57; average FAC10 of Naraha: 0.55) was indicated by the results. The results of the Box counting, Uniform kernel and Parabolic kernel were closer to the observed peaks and generally met the statistical acceptance criteria, but the results of the Gaussian kernel were significantly underestimated. The concentration distribution results indicated that the Box counting, Uniform kernel, and Parabolic kernel follow the same numerical trend. In addition, the plumes of the Uniform kernel and Parabolic kernel spread more widely, while the concentration results of Gaussian kernel decayed rapidly in the downwind direction.
Korsakissok I, Mathieu A, Didier D. Atmospheric dispersion and ground deposition induced by the Fukushima Nuclear Power Plant accident: A local-scale simulation and sensitivity study [J]. Atmospheric Environment, 2013,70:267-279.
[2]
葛宝珠,陆芊芊,陈学舜,等.放射性核素大气扩散数值模拟研究综述 [J]. 环境科学学报, 2021,41(5):1599-1609. Ge B Z, Lu Q Q, Chen X S, et al. A review of the numerical simulations of the atmospheric dispersion of radionuclides [J]. Acta Scientiae Circumstantiae, 2021,41(5):1599-1609.
[3]
Connan O, Smith K, Organo C, et al. Comparison of RIMPUFF, HYSPLIT, ADMS atmospheric dispersion model outputs, using emergency response procedures, with 85Kr measurements made in the vicinity of nuclear reprocessing plant [J]. Journal of Environmental Radioactivity, 2013,124:266-277.
[4]
Cao B, Cui W, Chen C, et al. Development and uncertainty analysis of radionuclide atmospheric dispersion modeling codes based on Gaussian plume model [J]. Energy, 2020,194:116925.
[5]
Fang S, Zhuang S, Goto D, et al. Coupled modeling of in-and below-cloud wet deposition for atmospheric 137Cs transport following the Fukushima Daiichi accident using WRF-Chem: A self-consistent evaluation of 25 scheme combinations [J]. Environment International, 2022,158:106882.
[6]
郭瑞萍,杨春林,王 博,等.拉格朗日法模拟华东核电厂137Cs大气扩散特征影响因子 [J]. 核电子学与探测技术, 2017,37(5):545-552. Guo R P, Yang C L, Wang B, et al. Impact factors analysis of 137Cs atmosphere dispersion from Huadong nuclear power plant basing on lagrange method [J]. Nuclear Electronics & Detection Technology, 2017,37(5):545-552.
[7]
Park S U, Choe A, Park M S. Atmospheric dispersion and deposition of radionuclides (137Cs and 131I) released from the Fukushima Dai-ichi nuclear power plant [J]. Computational Water, Energy, and Environmental Engineering, 2013,2(2):61-68.
[8]
Haq A Ul, Nadeem Q, Farooq A, et al. Assessment of lagrangian particle dispersion model “LAPMOD” through short range field tracer test in complex terrain [J]. Journal of Environmental Radioactivity, 2019,205-206:34-41.
[9]
Wang S, Li X, Fang S, et al. Validation and sensitivity study of Micro-SWIFT SPRAY against wind tunnel experiments for air dispersion modeling with both heterogeneous topography and complex building layouts [J]. Journal of Environmental Radioactivity, 2020, 222:106341.
[10]
Bilgiç E, Gündüz O. Dose and risk estimation of Cs-137 and I-131 released from a hypothetical accident in Akkuyu Nuclear Power Plant [J]. Journal of Environmental Radioactivity, 2020,211:106082.
[11]
Dong X, Zhuang S, Fang S, et al. Multi-scenario validation of CALMET-RIMPUFF for local-scale atmospheric dispersion modeling around a nuclear powerplant site with complex topography [J]. Journal of Environmental Radioactivity, 2021,229-230:106547.
[12]
Dong X, Zhuang S, Fang S, et al. Site-targeted evaluation of SWIFT-RIMPUFF for local-scale air dispersion modeling around Sanmen nuclear power plant based on multi-scenario wind tunnel experiments [J]. Annals of Nuclear Energy, 2021,164:108593.
[13]
Dong X, Zhuang S, Fang S, et al. Validation and sensitivity study of Micro-SWIFT SPRAY against wind tunnel experiments for small-scale air dispersion modeling between mountains and dense building at a nuclear power plant site [J]. Progress in Nuclear Energy, 2021,142:104007.
[14]
刘爱华,蒯琳萍.放射性核素大气弥散模式研究综述 [J]. 气象与环境学报, 2011,27(4):59-65. Liu A H, Kuai L P. A review on radionuclides atmospheric dispersion modes [J]. Journal of Meteorology and Environment, 2011,27(4): 59-65.
[15]
Leroy C, Maro D, Hébert D, et al. A study of the atmospheric dispersion of a high release of krypton-85 above a complex coastal terrain, comparison with the predictions of Gaussian models (Briggs, Doury, ADMS4) [J]. Journal of Environmental Radioactivity, 2010, 101(11):937-944.
[16]
Sekiyama T T, Kajino M. Performance of a 250-m grid eulerian dispersion simulation evaluated at two coastal monitoring stations in the vicinity of the Fukushima Daiichi nuclear power plant [J]. Journal of the Meteorological Society of Japan, 2021,99(4):1089-1098.
[17]
Bellasio R, Bianconi R, Mosca S, et al. Formulation of the Lagrangian particle model LAPMOD and its evaluation against Kincaid SF6 and SO2 datasets [J]. Atmospheric Environment, 2017,163:87-98.
[18]
Bellasio R, Bianconi R. LAPMOD-User's manual August 2020 [M] Concorezzo:Enviroware srl, 2020.
[19]
Bellasio R, Scarpato S, Bianconi R, et al. APOLLO2, a new long range Lagrangian particle dispersion model and its evaluation against the first ETEX tracer release [J]. Atmospheric Environment, 2012,57: 244-256.
[20]
Bellasio R, Bianconi R, Mosca S, et al. Incorporation of numerical plume rise algorithms in the Lagrangian particle model LAPMOD and validation against the Indianapolis and Kincaid datasets [J]. Atmosphere, 2018,9(10):404.
[21]
Morales L, Lang F, Mattar C. Mesoscale wind speed simulation using CALMET model and reanalysis information: An application to wind potential [J]. Renewable Energy, 2012,48:57-71.
[22]
Liu Y, Li H, Sun S, et al. Enhanced air dispersion modelling at a typical Chinese nuclear power plant site: Coupling RIMPUFF with two advanced diagnostic wind models [J]. Journal of Environmental Radioactivity, 2017,175-176:94-104.
[23]
Scire J S, Robe F R, Fernau M E, et al. A user's guide for the CALMET meteorological model [M] Concord:Earth Tech Inc, 2000.
[24]
Ruggeri M F, Lana N B, Altamirano J C, et al. Spatial distribution, patterns and source contributions of POPs in the atmosphere of Great Mendoza using the WRF/CALMET/CALPUFF modelling system [J]. Emerging Contaminants, 2020,6:103-113.
[25]
Janicke U, Janicke L. A three-dimensional plume rise model for dry and wet plumes [J]. Atmospheric Environment, 2001,35(5):877-890.
[26]
Webster H N, Thomson D J. Validation of a Lagrangian model plume rise scheme using the Kincaid data set [J]. Atmospheric Environment, 2002,36(32):5031-5042.
[27]
Marro M, Salizzoni P, Cierco F X, et al. Plume rise and spread in buoyant releases from elevated sources in the lower atmosphere [J]. Environmental Fluid Mechanics, 2014,14(1):201-219.
[28]
Yamada T, Bunker S. Development of a nested grid, second moment turbulence closure model and application to the 1982 ASCOT brush creek data simulation [J]. Journal of Applied Meteorology, 1988,27(5): 562-578.
[29]
Stohl A, Hittenberger M, Wotawa G. Validation of the lagrangian particle dispersion model FLEXPART against large-scale tracer experiment data [J]. Atmospheric Environment, 1998,32(24):4245-4264.
[30]
Chang J C, Hanna S R. Technical descriptions and user's guide for the BOOT statistical model evaluation software package, version 2.0 [M]. Boston: Landmark Center, 2005.
[31]
Hanna S, Chang J. Acceptance criteria for urban dispersion model evaluation [J]. Meteorology and Atmospheric Physics, 2012,116(3/4): 133-146.
[32]
Chang J C, Hanna S R. Air quality model performance evaluation [J]. Meteorology and Atmospheric Physics, 2004,87(1-3):167-196.
[33]
Chang J C, Franzese P, Chayantrakom K et al. Evaluations of CALPUFF, HPAC, and VLSTRACK with two mesoscale field datasets [J]. Journal of Applied Meteorology, 2003,42(4):453-466.
[34]
Hanna S R, Hansen O R, Dharmavaram S. FLACS CFD air quality model performance evaluation with Kit Fox, MUST, Prairie Grass, and EMU observations [J]. Atmospheric Environment, 2004,38(28):4675-4687.
[35]
Trini Castelli S, Armand P, Tinarelli G, et al. Validation of a Lagrangian particle dispersion model with wind tunnel and field experiments in urban environment [J]. Atmospheric Environment, 2018,193:273-289.
[36]
宁莎莎,李璟涛,张怀宇.核事故应急大气扩散模型ARTM验证与评价 [J]. 南方能源建设, 2020,7(4):87-92. Ning S S, Li J T, Zhang H Y. Evaluation of nuclear accident atmospheric radionuclide transport model ARTM [J]. Southern Energy Construction, 2020,7(4):87-92.
[37]
Tsuruta H, Oura Y, Ebihara M, et al. Time-series analysis of atmospheric radiocesium at two SPM monitoring sites near the Fukushima Daiichi Nuclear Power Plant just after the Fukushima accident on March 11, 2011 [J]. Geochemical Journal, 2018,52(2): 103-121.
[38]
Geospatial Data Cloud site, Computer Network Information Center, Chinese Academy of Sciences. Terrain data [EB/OL]. http://www.gscloud.cn/sources/details/421?pid=302.
[39]
European Space Agency (ESA). Global land cover maps [EB/OL]. http://due.esrin.esa.int/page_globcover.php.
[40]
周广强,谢 英,吴剑斌,等.基于WRF-Chem模式的华东区域PM2.5预报及偏差原因 [J]. 中国环境科学, 2016,36(8):2251-2259. Zhou G Q, Xie Y, Wu J B, et al. WRF-Chem based PM2.5 forecast and bias analysis over the East China Region [J]. China Environmental Science, 2016,36(8):2251-2259.
[41]
陆正奇,韩永翔,夏俊荣,等.WRF模式对污染天气下边界层高度的模拟研究 [J]. 中国环境科学, 2018,38(3):822-829. Lu Z Q, Han Y X, Xia J R, et al. Modeling study on boundary layer height in pollution weather by WRF with different boundary layer schemes [J]. China Environmental Science, 2018,38(3):822-829.
[42]
田 飞,伯 鑫,薛晓达,等.基于复杂地形-气象场的二噁英污染物沉降研究 [J]. 中国环境科学, 2019,39(4):1678-1686. Tian F, Bo X, Xue X D, et al. Study on settlement of dioxin pollutants under complex terrain-weather conditions [J]. China Environmental Science, 2019,39(4):1678-1686.
[43]
刘 扬,王 颖,刘 灏,等.基于WRF-Chem模拟验证的天水市主城区大气污染源排放清单 [J]. 中国环境科学, 2022,42(1):32-42. Liu Y, Wang Y, Liu H, et al. Air pollutants emission inventory for the main urban area of Tianshui City based on verification by WRF-Chem simulation [J]. China Environmental Science, 2022,42(1):32-42.
[44]
Sekiyama T T, Kunii M, Kajino M, et al. Horizontal resolution dependence of atmospheric simulations of the Fukushima nuclear accident using 15-km, 3-km, and 500-m grid models [J]. Journal of the Meteorological Society of Japan, 2015,93(1):49-64.
[45]
Katata G, Chino M, Kobayashi T, et al. Detailed source term estimation of the atmospheric release for the Fukushima Daiichi Nuclear Power Station accident by coupling simulations of an atmospheric dispersion model with an improved deposition scheme and oceanic dispersion model [J]. Atmospheric Chemistry and Physics, 2015,15(2):1029-1070.
[46]
Venkatram A, Brode R, Cimorelli A, et al. A complex terrain dispersion model for regulatory applications [J]. Atmospheric Environment, 2001,35(24):4211-4221.