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Statistical modelling of annealing kinetics of fission tracks in zircon; Reassessment of laboratory experiments
Affiliation:1. Department of Earth Science, University College London, WC1 6BT, UK;2. Department of Earth and Planetary Science, University of Tokyo, Tokyo 113-0033, Japan;3. Division of Earth and Planetary Sciences, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan;1. Earth and Environmental Sciences, University of British Columbia Okanagan, FIP353-3247 University Way, Kelowna, British Columbia, V1V 1V7, Canada;2. Department of Earth Sciences, University of Oxford, South Parks Road, Oxford, OX1 3AN, UK;3. School of Earth and Environment, University of Leeds, Leeds, LS2 9JT, UK;4. Department of Earth Science, University of California, Santa Barbara, Santa Barbara, CA, 93106-9630, USA;1. Tianjin Center, China Geological Survey, Tianjin 300170, China;2. Laboratory of Non-fossil Energy Minerals, Tianjin Center of China Geological Survey, Tianjing 300170, China;3. Development Company of New Energy Sources of the Liaohe Petroleum Exploration Bureau, CNPC, Panjin 124010, Liaoning, China;4. China University of Geosciences (Beijing), Beijing 100083, China;1. Université Côte d''Azur, CNRS, OCA, IRD, Géoazur, 250 rue Albert Einstein, Sophia Antipolis 06560 Valbonne, France;2. EDYTEM, Université de Savoie – CNRS, UMR 5204, Le Bourget du Lac, France;3. Université Grenoble Alpes, Université Savoie Mont-Blanc, CNRS, IRD, IFSTTAR, ISTerre, 38000 Grenoble, France;4. GEOPS, Université Paris-Sud 11, CNRS, Université Paris-Saclay, Rue du Belvédère, Bât. 504, F-91405 Orsay, France;5. Université de Lyon, Université Jean Monnet and UMR-CNRS 6524, Laboratoire Magmas et Volcans, 42023 Saint-Etienne, France;6. Chrono-environnement, CNRS-UMR 6249, Université de Bourgogne–Franche-Comté, 16 route de Gray, 25030 Besançon cedex, France;1. School of Earth and Space Exploration, Arizona State University, P.O. Box 871404, Tempe, AZ 85287-1404, USA;2. Department of Earth and Planetary Science, University of California at Berkeley, 307 McCone Hall, Berkeley, CA 94720, USA;3. Berkeley Geochronology Center, 2455 Ridge Road, Berkeley, CA 94709, USA;4. Department of Earth and Planetary Science, University of California at Santa Cruz, 1156 High St., Santa Cruz, CA 95064, USA
Abstract:We remodel the annealing kinetics of fission tracks (FTs) in zircon to fit data from 43 laboratory experiments in three earlier publications using spontaneous FT lengths in zircon from the Nisatai Dacite. Heating temperature and time are in the ranges of 350–912 °C and 10 3–104 h, respectively. The data sets illustrate a transition in annealing process at a certain temperature zone. In order to express the annealing behavior involving the possible transitional process with improved goodness of fit, two types of models are constructed; the hybrid-linear model that consists of the fanning-linear model at high temperature and the parallel-linear model at low temperature, connected with a transitional temperature zone, and the parallel-curvilinear model that approximates smoothly the transition in the annealing process. The validity of the extrapolation of the model to geological time scale is confirmed by comparison with some deep borehole core data. The length estimates by the hybrid-linear model agree well with the borehole data, whilst the estimates by the parallel-curvilinear model show a significant disagreement with highly annealed borehole samples although this model provides good agreement with the experimental data. For the hybrid-linear model, estimates of the partial annealing zone corresponding to isothermal heating for 106 and 107 years are 281–352 °C and 262–330 °C where the top and bottom of the partial annealing zone are defined by the mean length reduction ratio of 0.4 and 0.8, respectively.
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