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基于MSISE-90研究高海拔宇宙线观测站处的大气深度廓线模型

祝凤荣 柳靖 夏君集 张丰 刘虎

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基于MSISE-90研究高海拔宇宙线观测站处的大气深度廓线模型

祝凤荣, 柳靖, 夏君集, 张丰, 刘虎

Study of atmospheric depth profiles at large high altitude air shower observatory using MSISE-90 model

Zhu Feng-Rong, Liu Jing, Xia Jun-Ji, Zhang Feng, Liu Hu
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  • 高海拔宇宙线观测站(LHAASO)位于四川省稻城县海子山, 它的广角切伦科夫望远镜阵(WFCTA)主要是通过观测广延大气簇射过程中产生的切伦科夫光信号对宇宙线进行研究. WFCTA 的标定、模拟和重建都和大气深度有关, 目前使用的大气深度模型是美国标准大气深度廓线模型. 本研究中将美国标准大气深度廓线模型与卫星 TIMED搭载的红外辐射计SABER记录到的LHAASO处14—50 km处的大气深度廓线进行比较, 同时也与LHAASO处地面气象站记录的大气深度进行比较, 美国标准大气模型的大气深度均偏小. MSISE-90大气模型描述了地球大气中从地面到热层的中性温度和密度, 进一步研究发现MSISE-90大气模型与TIMED/SABER和LHAASO处地面标准气象站记录的大气深度的一致性较好. 根据MSISE-90大气模型计算得到LHAASO处的大气深度均值廓线在1月最低, 其次是2月、3月、4月、11月和12月, 这也是 WFCTA运行的最佳观测月份. 4月份的大气边界层最高, 其大气深度存在约2%的日变化. 利用美国标准大气模型的函数形式, 拟合每月的4.4—100 km处的大气深度廓线, 得到了LHAASO处的每月的大气深度廓线模型, 并比较了30°天顶角入射的100 TeV 的宇宙线质子在MSISE-90大气模型和美国标准大气模型中产生的切伦科夫光的横分布的差异, 二者最大差异约可以达到20%.
    High altitude cosmic ray observatory (LHAASO) is located at Haizi Mountain in Daocheng county, Sichuan province, China. Its wide field of view Cherenkov telescope array (WFCTA) is primarily used to study cosmic rays through observing the Cherenkov light signals produced during extensive air showers. Calibration, simulation, and reconstruction of WFCTA are all related to atmospheric depth. The atmospheric depth model currently used is the US standard atmosphere depth profile model. In this study, the US standard atmosphere depth profile model is compared with the atmospheric depth profile recorded by the infrared radiometer SABER carried by the satellite TIMED at LHAASO from 14 km to 50 km, and also with the atmospheric depth recorded by the ground meteorological station at LHAASO. The atmospheric depth obtained from the US standard atmosphere model is consistently smaller. The MSISE-90 atmospheric model describes the neutral temperature and density from the Earth's surface to the thermosphere. Further research shows good consistency between the MSISE-90 atmospheric model and the atmospheric depth recorded by TIMED/SABER and the ground standard meteorological station at LHAASO. According to the MSISE-90 atmospheric model, the average atmospheric depth profile at LHAASO is lowest in January, followed sequentially by February, March, April, November, and December, which are also the optimal observation months for WFCTA operation. The atmospheric boundary layer is highest in April, with the diurnal variation of atmospheric depth being about 2%. Using the functional form of the US standard atmosphere odel, the monthly atmospheric depth profile of the LHAASO site is obtained by fitting an atmospheric depth profile of 4.4 to 100 km per month. And the comparison between the lateral distribution of the Cherenkov photons produced by 100 TeV cosmic-ray protons incident at a zenith angle of 30° in the MSISE-90 atmospheric model and that in the US standard atmosphere model shows that their maximum difference reaches about 20%.
      通信作者: 祝凤荣, zhufr@home.swjtu.edu.cn
    • 基金项目: 国家重点研发计划(批准号: 2018YFA0404201)资助的课题.
      Corresponding author: Zhu Feng-Rong, zhufr@home.swjtu.edu.cn
    • Funds: Project supported by the National Key R&D Program of China (Grant No. 2018YFA0404201).
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    Sun Q N 2021 37th International Cosmic Ray Conference (ICRC2021), Berlin, Germany, July 12–23, 2021 272

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    Chen L, Li X, Ge L S, Liu H, Sun Q N, Wang Y, Xia J J, Zhu F R, Zhang Y 2021 37th International Cosmic Ray Conference (ICRC2021), Berlin, Germany, July 12–23, 2021 269

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    李新, 陈龙, 耿利斯, 刘虎, 孙秦宁, 王阳, 夏君集, 祝凤荣, 张勇 2022 天文研究与技术 19 244Google Scholar

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    Sun Q N, Wang Y, Chen L, Zhang Y, Zhu F R 2023 38th International Cosmic Ray Conference (ICRC2023), Nagoya, Japan, July 26–August 3, 2023 496

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    Sun Q N, Min Z, Liu H, Zhu F R, Zhang S S, Long C, Wang Y 2023 38th International Cosmic Ray Conference (ICRC2023), Nagoya, Japan, July 26–August 3, 2023 494

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    柳靖, 唐晓凡, 夏君集, 祝凤荣 2024 高原山地气象研究 44 1674

    Liu J, Tang X F, Xia J J, Zhu F R 2024 Plateau and Mountain Meteorology Research 44 1674

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    Heck D, Knapp J, Capdevielle J N, Schatz G, Thouw T 1998 Corsika: A monte carlo code to simulate extensive air showers (Wissenschaftliche Berichte, FZKA-6019) pp1–54

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    Keilhauer B, Will M, Pierre Auger Collaboration 2012 Eur. Phys. J. Plus 127 96Google Scholar

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    HiRes Collaboration 2001 Proceedings of the 27th International Cosmic Ray Conference, Hamburg, Germany, August 7–15, 2001 653

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    HESS Collaboration 2003 Proceedings of the 28th International Cosmic Ray Conference, Tsukuba, Japan, July 31–August 7, 2003 2879

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    The Veritas Collaboration 2008 VERITAS Collaboration Contributions to the 31st International Cosmic Ray Conference, Lodz, Poland, July, 2008

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    The Telescope Array Collaboration 2001 27th International Cosmic Ray Conference (ICRC2001), Hamburg, Germany, August 7–15, 2001 663

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    Schmuckermaier F, Gaug M, Fruck C, Moralejo A, Hahn A, Dominis Prester D, Dorner D, Font L, Mićanović S, Mirzoyan R, Paneque D, Pavletić L, Sitarek J, Will M 2023 Astron. Astrophys. 673 25Google Scholar

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    Hedin A, Res J G 1991 J. Geophys. Res. 96 1159Google Scholar

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    NASA CCMC MSIS Vitmo Model [2024-03-27]

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    程旋, 肖存英, 胡雄, 杨钧烽 2018 中国科学: 物理学 力学 天文学 48 79

    Cheng X, Xiao C Y, Hu X, Yang J F 2018 SCIENTIA SINICA Physica, Mechanica & Astronomica 48 79

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    宫晓艳, 胡雄, 吴小成, 肖存英 2013 地球物理学报 56 2152

    Gong X Y, Hu X, Wu X C, Xiao C Y 2013 Chin. J. Geophy. 56 2152

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    Picone J M, Hedin A E, Drob D P, Aikin A C 2002 J. Geophys. Res. 107 1468Google Scholar

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    Fleming E L, Chandra S, Barnett J, Corney M 1990 Adv. Space Res. 10 11

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    张丰, 刘虎, 祝凤荣 2022 物理学报 71 472

    Zhang F, Liu H, Zhu F R 2022 Acta Phys. Sin. 71 472

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    Liu J R, Wu H X, Liu Q, Ji Y J, Xu R, Zhang F, Liu H 2024 Universe 10 100Google Scholar

  • 图 1  LHAASO上空14—50 km垂直大气深度廓线. 黑点表示由美国标准大气模型得到, 红点表示由SABER得到

    Fig. 1.  Vertical atmospheric depth profiles over LHAASO by U.S. standard atmospheric model and SABER as a function of altitude

    图 2  LHAASO地面处大气深度的变化, 蓝色是美国标准大气模型的计算结果, 红色是地面标准气象站的观测数据

    Fig. 2.  Variation of surface atmospheric depth at LHAASO, the blue is the calculation of the standard atmospheric model of the United States, and the red is the observation data of the standard weather station on the ground.

    图 3  SABER和MSISE-90模型在29天内得出的平均大气深度廓线的比较. y轴表示SABER的大气深度廓线减去与MSISE-90模型对应的大气深度的差值

    Fig. 3.  Comparison of the mean atmospheric depth profile derived from SABER and MSISE-90 model in 29 days. The y-axis represents for the difference of the mean atmospheric depth profile from SABER minus that from MSISE-90 model

    图 4  MSISE-90 模型的大气深度减去气象站数据的大气深度的分布, MSISE-90 的大气深度与地面标准气象站的记录非常一致, 平均值为$ (3.752\pm0.036 )\, \text{ g/cm}^2 $, 可能是两个大气深度之间的系统性差异

    Fig. 4.  Distribution of atmospheric depth with MSISE-90 model minus weather station data. The atmospheric depth of MSISE-90 is very consistent with records from standard weather stations on the ground, with an average of (3.752 ± 0.036) g·cm–2. It could be a systematic difference between the two atmospheric depths.

    图 5  2018年4月份每天0点时刻4.4—50 km的垂直大气深度廓线

    Fig. 5.  Vertical atmospheric depth profile from 4.4 km through 50 km at zero o’clock each day in April 2018

    图 6  2018年每月的相对于年均值的垂直大气深度廓线

    Fig. 6.  Distribution of monthly mean atmospheric depth minus the annual average

    图 7  每月大气深度模型与美国标准大气模型产生的切伦科夫光的横向分布的比值随Rp的变化. y轴表示切伦科夫光密度比值, x轴表示到簇射轴的距离

    Fig. 7.  Variation of Cherenkov light ratio with Rp in monthly atmospheric depth models versus US standard atmosphere. The y-axis represents the ratio of Cherenkov light density, and the x-axis represents the distance to the shower axis.

    表 1  大气深度模型参数

    Table 1.  Atmospheric depth model parameters

    Month Layer i Altitude h/km ai/(g·cm–2) bi/(g·cm–2) ci/(g·cm–2)
    Jan14.4—10–88.676641153.38932885318.24144
    210—400.15031368.33236635083.57589
    340—700.00097594.27741759999.94129
    470—100–0.000861907.62483667666.97913
    Feb14.4—10–87.391771154.47929881758.5079
    210—400.156091367.33681635285.9599
    340—700.00027576.34076764858.0621
    470—100–0.000852045.36876663026.919
    Mar14.4—10–87.848311151.6271885628.7299
    210—400.113151369.10268635555.228
    340—70–0.00049553.3669771529.8036
    470—100–0.000912209.83224658731.9146
    Apr14.4—10–90.256221145.51995897003.8093
    210—400.062341373.1308635903.6963
    340—70–0.00116539.40289776888.0464
    470—100–0.000972423.60087654760.7167
    May14.4—10–94.010041143.16428911761.1959
    210—400.035961381.07511636947.2602
    340—70–0.00132549.94468776854.1294
    470—100–0.001062661.49827651353.7108
    Jun14.4—10–97.914331146.13178925652.5235
    210—400.018161390.15178639198.5601
    340—70–0.00087583.28466771416.4869
    470—100–0.001142874.15677648179.0992
    Jul14.4—10–100.065621148.64061933675.7634
    210—40–0.024231392.20555641946.5067
    340—70–0.00005618.18009764300.351
    470—100–0.001112927.94379646356.8679
    Aug14.4—10–100.353861151.17543934589.3083
    210—40–0.096511391.26844643717.7458
    340—700.00089636.09755759237.935
    470—100–0.001062753.18923647878.0245
    Sep14.4—10–98.988871149.90531929337.2904
    210—40–0.150621386.23148643237.0362
    340—700.0016629.96089757639.8883
    470—100–0.000972427.85445653170.7765
    Oct14.4—10–96.775541147.98637919739.3653
    210—40–0.134851381.02577640744.2671
    340—700.0019614.52746757915.0523
    470—100–0.000912107.53654660753.9717
    Nov14.4—10–94.083871147.66351907591.9124
    210—40–0.044651376.11079637729.8644
    340—70–0.00183604.50776758089.8866
    470—100–0.000881903.76056667277.3079
    Dec14.4—10–91.252241150.55845895114.7529
    210—400.072011372.32941635695.0018
    340—700.0015601.61656758134.5887
    470—100–0.000891844.46114669845.4268
    下载: 导出CSV
  • [1]

    He H H 2018 Radiation Detection Technology and Methods 2 1Google Scholar

    [2]

    曹臻, 陈明君, 陈松战, 胡红波, 刘成, 刘烨, 马玲玲, 马欣华, 盛祥东, 吴含荣, 肖刚, 姚志国, 尹丽巧, 查敏, 张寿山 2019 天文学报 60 3Google Scholar

    Cao Z, Chen M J, Chen S Z, Hu H B, Liu C, Liu Y, Ma L L, Ma X H, Sheng X D, Wu H R, Xiao G, Yao Z G, Yin L Q, Zha M, Zhang S S 2019 Acta Astronomica Sinica 60 3Google Scholar

    [3]

    LHAASO Collaboration 2021 Science 373 425Google Scholar

    [4]

    LHAASO Collaboration 2021 Nature 594 33Google Scholar

    [5]

    LHAASO Collaboration 2022 Nuclear Instruments and Methods in Physics Research A 1021 165824Google Scholar

    [6]

    LHAASO Collaboration 2021 Eur. Phys. J. C 81 657Google Scholar

    [7]

    Xie N, Liu H, Hu Y, Long W J, Jia H Y, Zhu F R, Chen Q H 2019 36th International Cosmic Ray Conference (ICRC2019), Madison, USA, July 24–August 1, 2019 498

    [8]

    Sun Q N 2021 37th International Cosmic Ray Conference (ICRC2021), Berlin, Germany, July 12–23, 2021 272

    [9]

    Chen L, Li X, Ge L S, Liu H, Sun Q N, Wang Y, Xia J J, Zhu F R, Zhang Y 2021 37th International Cosmic Ray Conference (ICRC2021), Berlin, Germany, July 12–23, 2021 269

    [10]

    李新, 陈龙, 耿利斯, 刘虎, 孙秦宁, 王阳, 夏君集, 祝凤荣, 张勇 2022 天文研究与技术 19 244Google Scholar

    Li X, Chen L, Geng L S, Liu H, Sun Q N, Wang Y, Xia J J, Zhu F R, Zhang Y 2022 Astronomical Research&Technology 19 244Google Scholar

    [11]

    Sun Q N, Jin M, Xia J J, Liu J, Min Z, Zhu F R, Chen L, Wang Y, Liu Y, Zhang Y 2023 38th International Cosmic Ray Conference (ICRC2023), Nagoya, Japan, July 26–August 3, 2023 498

    [12]

    Sun Q N, Wang Y, Chen L, Zhang Y, Zhu F R 2023 38th International Cosmic Ray Conference (ICRC2023), Nagoya, Japan, July 26–August 3, 2023 496

    [13]

    Sun Q N, Min Z, Liu H, Zhu F R, Zhang S S, Long C, Wang Y 2023 38th International Cosmic Ray Conference (ICRC2023), Nagoya, Japan, July 26–August 3, 2023 494

    [14]

    柳靖, 唐晓凡, 夏君集, 祝凤荣 2024 高原山地气象研究 44 1674

    Liu J, Tang X F, Xia J J, Zhu F R 2024 Plateau and Mountain Meteorology Research 44 1674

    [15]

    Heck D, Knapp J, Capdevielle J N, Schatz G, Thouw T 1998 Corsika: A monte carlo code to simulate extensive air showers (Wissenschaftliche Berichte, FZKA-6019) pp1–54

    [16]

    National Geophysical Data Center 1976 Planetary and Space Science 40 553Google Scholar

    [17]

    Wilczyńska B, Góra D, Homola P, Pe¸kala J, Risse M, Wilczyński H 2006 Astropart. Phys. 25 106Google Scholar

    [18]

    Keilhauer B, Will M, Pierre Auger Collaboration 2012 Eur. Phys. J. Plus 127 96Google Scholar

    [19]

    Pierre Auger Collaboration 2012 Astropart. Phys. 35 591Google Scholar

    [20]

    HiRes Collaboration 2001 Proceedings of the 27th International Cosmic Ray Conference, Hamburg, Germany, August 7–15, 2001 653

    [21]

    HESS Collaboration 2003 Proceedings of the 28th International Cosmic Ray Conference, Tsukuba, Japan, July 31–August 7, 2003 2879

    [22]

    The Veritas Collaboration 2008 VERITAS Collaboration Contributions to the 31st International Cosmic Ray Conference, Lodz, Poland, July, 2008

    [23]

    The Telescope Array Collaboration 2001 27th International Cosmic Ray Conference (ICRC2001), Hamburg, Germany, August 7–15, 2001 663

    [24]

    Schmuckermaier F, Gaug M, Fruck C, Moralejo A, Hahn A, Dominis Prester D, Dorner D, Font L, Mićanović S, Mirzoyan R, Paneque D, Pavletić L, Sitarek J, Will M 2023 Astron. Astrophys. 673 25Google Scholar

    [25]

    Hedin A, Res J G 1991 J. Geophys. Res. 96 1159Google Scholar

    [26]

    NASA CCMC MSIS Vitmo Model [2024-03-27]

    [27]

    程旋, 肖存英, 胡雄, 杨钧烽 2018 中国科学: 物理学 力学 天文学 48 79

    Cheng X, Xiao C Y, Hu X, Yang J F 2018 SCIENTIA SINICA Physica, Mechanica & Astronomica 48 79

    [28]

    宫晓艳, 胡雄, 吴小成, 肖存英 2013 地球物理学报 56 2152

    Gong X Y, Hu X, Wu X C, Xiao C Y 2013 Chin. J. Geophy. 56 2152

    [29]

    Dai Y R, Pan W L, Qiao S, Hu X, Yan Z A, Ban C 2020 Chinese Journal of Space Science 40 207Google Scholar

    [30]

    Hedin A E, Salah J E, Evans J V, Reber C A, Newton G P, Spencer N W, Kayser D C, Alcayde D, Bauer P, Cogger L, McClure J P 1977 J. Geophys. Res. 82 2139Google Scholar

    [31]

    Hedin A E 1987 J. Geophys. Res. 92 4649Google Scholar

    [32]

    Picone J M, Hedin A E, Drob D P, Aikin A C 2002 J. Geophys. Res. 107 1468Google Scholar

    [33]

    Labitzke K, Barnett J J, Edwards B 1985 Handbook MAP 16

    [34]

    Fleming E L, Chandra S, Barnett J, Corney M 1990 Adv. Space Res. 10 11

    [35]

    张丰, 刘虎, 祝凤荣 2022 物理学报 71 472

    Zhang F, Liu H, Zhu F R 2022 Acta Phys. Sin. 71 472

    [36]

    Liu J R, Wu H X, Liu Q, Ji Y J, Xu R, Zhang F, Liu H 2024 Universe 10 100Google Scholar

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出版历程
  • 收稿日期:  2024-05-12
  • 修回日期:  2024-06-24
  • 上网日期:  2024-07-13
  • 刊出日期:  2024-08-20

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