estimation of the radioactive source dispersion from fukushima nuclear power plant accident
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H I G H L I G H T S
rding torms to
Information about the time-line of events can be found on the
adionuclides. Theitoring stations
radioactive nobleal., 2009). Radio-ar facilities, suchcreate a globale (Wotawa et al.,ushima accidentding 133Xe raisedtohl et al., 2011).
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Applied Radiation and Isotopes 81 (2013) 358361the affected IMS stations, Atmospheric Transport Modelling (ATM)E-mail address: firstname.lastname@example.org (W. Plastino).The time-dependent relationship between a source that isemitting particles and a receptor in a remote location can bedescribed with a source-receptor sensitivity (SRS) matrix.To determine the sensitivity between the Fukushima NPP and
0969-8043/$ - see front matter & 2013 Elsevier Ltd. All rights reserved.http://dx.doi.org/10.1016/j.apradiso.2013.03.070
n Corresponding author at: University of Roma Tre, Department of Mathematics andPhysics, Via della Vasca Navale 84, I-00146 Roma, Italy. Tel.: +39 06 5733 7277;fax: +39 06 5733 7102.website of the International Atomic Energy Agency (IAEA, 2011). 2. MethodsThe Tohuku earthquake on 11 March 2011 and the followingtsunami at the north-eastern coast of Japan resulted in theworldwide known nuclear accident at the Fukushima NuclearPower Plant (NPP). The state of several reactors worsened duringthe following days and large amounts of radioactive material werereleased into the environment, i.e. land, sea and atmosphere. Theassessment of the regional and global impact depends on theknowledge of which radionuclides had been emitted in whatquantities. Also the time development is of importance as itdetermines with which prevailing winds or sea currents the radio-active material is dispersed. Due to the severe conditions on-site ithas not been possible to determine the source term directly.
tion (CTBTO), continuously takes environmentaincluding atmospheric concentrations of certain rIMS design incorporates 80 radionuclide monworldwide, of which 40 stations can also detectgases such as radioxenon isotopes (Zhringer etxenon is mainly emitted by NPPs and other nucleas medical isotope production facilities, whichradioxenon background with regional dependenc2010). In the days and weeks following the Fukthe concentrations of several radionuclides incluat multiple IMS stations throughout the world (S1. Introduction The International Monitoring System (IMS), which is currentlybuilt up by the Comprehensive Nuclear-Test-Ban Treaty Organiza-
l measurements& 2013 Elsevier Ltd. All rights reserved.Keywords:FukushimaAtmospheric transport modelingXenonSource term
locations. Using results of these remote measurements the Fukushima Xe source term has beenreconstructed and compared with previously reconstructed 137Cs and 131I source terms. The reconstructionis accomplished by applying atmospheric transport modeling and an adapted least square error method. Theobtained results are in agreement with previous estimations of the Fukushima radionuclide source, and alsoserve as a proof of principle for source term reconstruction based on atmospheric transport modeling.Available online 2 April 2013 Following the Fukushima n The emissions are reconstructed acco Correlation of the estimated source te
a r t i c l e i n f oharacterize the Fukushima source term.133-Xe detections in Japan and China.137-Cs and 131-I detections.
a b s t r a c t
uclear power plant accident detections of 133Xe have been made in various133 Atmospheric transport modelling is used to cEstimation of the radioactive source disnuclear power plant accident
Michael Schppner a,b, Wolfango Plastino a,b,n, PaveFederico Ruggieri b, Francesco Bella a
a University of Roma Tre, Department of Mathematics and Physics, Via della Vasca Navb INFN, Section of Roma Tre, Via della Vasca Navale 84, I-00146 Roma, Italyc Comenius University, Department of Nuclear Physics and Biophysics, Mlynska dolina Fd Preparatory Commission for the Comprehensive Nuclear Test-Ban-Treaty OrganizationCentre, PO Box 1200, 1400 Vienna, Austriarsion from Fukushima
ovinec c, Mika Nikkinen d,
4, I-00146 Roma, Italy
84248 Bratislava, SlovakiaBTO), Provisional Technical Secretariat, Vienna Internationalvier.com/locate/apradiso
n and Isotopes
M. Schppner et al. / Applied Radiation and Isotopes 81 (2013) 358361 359has been utilized. The general purpose of ATM is to calculate thesensitivity, which determines the relation between two points ona spatial grid. The concentration c at the receptor is calculatedfrom the source emission strength S at coordinates i, j during thetime interval n, and the accordant source-receptor sensitivity M:
cMijnSijnwhen sources from more than one location or more than one timeinterval are contributing to the concentration, summing over allsources and time intervals gives the total concentration (Wotawaet al., 2003). The Lagrangian Particle Dispersion Model FLEXPARTuses the zero-acceleration scheme
Xt t Xt vX; ttto integrate the trajectory equation. Various radionuclide-lossprocesses such as radioactive decay and dry and wet depositionhave been included in the simulations. However, radioxenon andnoble gases in general, which will be mainly discussed in thispaper, are not affected by deposition effects (Stohl et al., 2010).Due to its many parameters ATM is always subject to uncertaintiesthat are not trivial to quantify directly. However, the appliedFLEXPART model has been validated against several meso-scaletracer experiments in order to ensure its capability (Stohl et al.,1998) and was found to produce good correlation with noparticular bias. Effects of local meteorological patterns that are
Fig. 1. Map of East Asia with Fukushima and the two noblnot resolved by ATM can be analysed with a statistical time seriesanalysis (Plastino et al., 2010).
The Flexpart model has been ported to the local grid computerat the University of Roma Tre/INFN. It is running with atmosphericdata from the European Centre for Medium-Weather Forecast(ECMWF) in a spatial resolution of one degree latitude/longitudeand time resolution of 3 h.
The inuence of the worldwide 133Xe background on a certaindetector can be simulated with a radioxenon emission inventorythat describes average emissions from legitimate radioxenonsources (Kalinowski and Tuma, 2009). Emissions from a certaingrid point and time can reach the same detector multiple timesdue to various particle trajectories following the wind dispersion.The concentration during one detection period of the receptor canalso be composed from emissions from multiple emissions in timeand space. However, when assuming one single emitter with aknown location (as it is shown later), information about the sourceterm can be deducted from the remote measurements.
The virtual Data Exploitation Centre (vDEC), established by theCTBTO, supplies IMS data for research purposes including radioxenonconcentrations detected following the Fukushima accident. Whenchoosing detection data to reconstruct the source term, spatialvicinity and temporal availability of data are important. Here, datafrom the Japanese station JPX38 in Takasaki close to Tokyo and about250 km from Fukushima, and from the Chinese station CNX22 nearHong Kong about 3000 km from Fukushima have been considered,see Fig. 1. For the Japanese station elevated radioxenon data are onlyavailable for the time period from 05 April 2011; for the Chinesestation radioxenon data are available after 25 March 2011.
When a constant source term is assumed it results in aparticular time series of concentrations at the receptor. Whencompared to the experimental detection data the simulated timeseries most likely possesses different features and the sum oferrors can be calculated. Due to the usual distribution over morethan one order of magnitude it is useful to calculate the sum ofsquare errors on a logarithmic scale. When changing the timedependence of the source term, the simulated time series at thedetector changes according to the source-receptor sensitivitymatrix, and with these changes also the sum of square errorschanges. The source term can be adjusted in a way to minimize thesummed log-scale square errors between simulated and experi-mental data, maximizing the alikeness between both of them.
The experimental 133Xe data has been taken in collectionintervals of twelve hours with Swedish Automatic Unit for Noblegas Acquisition (SAUNA) systems. Therefore, when reconstructingthe Fukushima source term, a time resolution of 12 h has also been
s monitoring stations JPX38 and CNX22. (www.ctbto.org).used. SAUNA systems detect noble gases with betagamma coin-cidence measurements (Auer et al., 2010). The Minimum Detect-able Concentration is in the range 0.20.4 mBq/m3. The averageerror for the used data set of radioxenon detections is 10%.
3. Results and discussion
Prior to the Fukushima nuclear accident, the Japanese CTBTOstation detected 133Xe emitted from multiple NPPs in the order of0.11 mBq/m3. However, during the days following the accidentno data were available. Data taking restarted on 4 April 2012,showing 133Xe concentrations of the order of 0.11 Bq/m3 (Fig. 2).The legitimate background that is produced by operating NPPs andmedical isotope production facilities can be reproduced by ATMand the standard radioxenon emission inventory (Kalinowski andTuma, 2009). When compared to the pre-Fukushima detections, aspresented in Fig. 2, the simulations depict the background data.
For the Chinese station the data are only available from 25March, where a similar pattern is observed, when the level of
M. Schppner et al. / Applied Radiation and Isotopes 81 (2013) 358361360Fig. 2