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Quantitative analysis of accuracy of concentration inversion under different temperature and pressure

Wang Yu-Hao Liu Jian-Guo Xu Liang Liu Wen-Qing Song Qing-li Jin Ling Xu Han-Yang

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Quantitative analysis of accuracy of concentration inversion under different temperature and pressure

Wang Yu-Hao, Liu Jian-Guo, Xu Liang, Liu Wen-Qing, Song Qing-li, Jin Ling, Xu Han-Yang
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  • The CO2, CH4 and other greenhouse gases are measured by using a home-made Fourier transform infrared spectrometer at the Longfengshan atmospheric background station. Compared with the measurement results of the instrument from the background station which meets the standards of the World Meteorological Organization, the correlation coefficient and the root mean square error of the CO2 concentration value are 0.9576 and 18.6015, so the measurement results from the home-made instrument are reliable. In the home-made instrument the calibration spectrum of standard temperature and the calibration spectrum of stand pressure are used to invert the concentration. With the temperature changing, the temperature of the measured gas will vary, thus resulting in error. The research of environmental variable factors can improve the accuracy of concentration inversion. For example, compared with CO2 absorption spectrum under 296 K, the CO2 absorption spectrum under 297 K will have 1.8% spectrum deviation and its inversion concentration error is 0.41%. This is the main cause of inversion concentration error. Based on the above analysis, the absorption cross section is calculated by using the high-resolution transmission molecular absorption database parameters. Combining with the instrument line shape, the calibration spectra at different temperatures and pressures can be obtained. The calibration spectra at different temperatures and pressures are used to calibrate the concentration inversion. After calibration, compared with the measurement results of the background station instrument, the correlation coefficient and the root mean square error of the CO2 concentration value are 0.9637 and 6.7803. The correlation coefficient of CO2 concentration value measured by self-developed instrument is improved and root mean square error is reduced. The result shows that the calibration algorithm enhances the accuracy of the measurement results to a certain extent. The above results illustrate the reliability of the home-made FTIR instrument and this experiment provides important data, which lay the foundation forstudying the home-made Fourier transform infrared spectrometer. Of course, improvement can be made in the following areas. Other minor factors may affect the effect of the inversion algorithm. The concentration inversion will have subtle differences at different bands of calibration spectra. So in order to improve the measurement accuracy, we need to choice more reasonable band inversion and more precise parameters from the high-resolution transmission molecular absorption database.
      Corresponding author: Xu Liang, xuliang@aiofm.ac.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 41941011), the Key Research Program of Frontier Sciences of Chinese Academy of Sciences (Grant No. QYZDY-SSW-DQC016), the National Key R&D Program of China (Grant Nos. 2016YFC0201002, 2016YFC0803001-08), the Key RD Program of Anhui Province, China (Grant No. 1804d08020300)
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    Hodgkinson J, Smith R, Ho W O, Saffell J R, Tatam R P 2013 Sens. Actuators, B 186 580Google Scholar

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    Chen H, Winderlich J, Gerbig C, Hoefer A, Rella C W, Crosson E R, Van Pelt A D, Steinbach J, Kolle O, Beck V, Daube B C, Gottlieb E W, Chow V Y, Santoni G W, Wofsy S C 2010 Atmos. Meas. Tech. 3 375Google Scholar

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    程巳阳, 徐亮, 高闽光, 金岭, 李胜, 冯书香, 刘建国, 刘文清 2013 物理学报 62 124206Google Scholar

    Cheng S Y, Xu L, Cao M G, Jin L, Li S, Feng S X, Liu J G, Liu W Q 2013 Acta Phys. Sin. 62 124206Google Scholar

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    Zhang C, Liu C, Hu Q, Cai Z, Su W, Xia C, Zhu Y, Wang S, Liu J 2019 Light- Sci. Appl. 8 1Google Scholar

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    Zhang C, Liu C, Chan K L, Hu Q, Liu H, Li B, Xing C, Tan W, Zhou H, Si F 2020 Light-Sci. Appl. 9 1Google Scholar

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    Lamouroux J, Régalia L, Thomas X, Vander Auwera J, Gamache R, Hartmann J M 2015 J. Quant. Spectrosc. Radiat. Transfer 151 88Google Scholar

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    Griffith D W 1996 Appl. Spectrosc. 50 59Google Scholar

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    Hammer S, Griffith D W T, Konrad G, Vardagl S, Caldow C, Levin I 2013 Atmos. Meas. Tech. 6 1153Google Scholar

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    Griffith D W T, Deutscher N M, Caldow C, Kettlewell G, Riggenbach M, Hammer S 2012 Atmos. Meas. Tech. 5 2481Google Scholar

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    Griffiths P R, De Haseth J A 2007 Fourier Transform Infrared Spectrometry (Vol. 171) (New Jersey: John Wiley & Sons, Inc) pp19−21

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    Arnold J O, Whiting E E, Lyle G C 1969 J. Quant. Spectrosc. Radiat. Transfer 9 775Google Scholar

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    Heinz D C 2001 IEEE Trans. Geosci. Electron. 39 529Google Scholar

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    冯明春, 徐亮, 刘文清, 刘建国, 高闽光, 魏秀丽 2016 物理学报 65 014210Google Scholar

    Feng M C, Xu L, Liu W Q, Liu J G, Gao M G, Wei X L 2016 Acta Phys. Sin. 65 014210Google Scholar

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    焦洋, 徐亮, 高闽光, 金岭, 童晶晶, 李胜, 魏秀丽 2013 物理学报 62 140705Google Scholar

    Jiao Y, Xu L, Gao M G, Jin L, Tong J J, Li S, Wei X L 2013 Acta Phys. Sin 62 140705Google Scholar

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    Gordon I E, Rothman L S, Hill C, Kochanov R V, Tan Y, Bernath P F, Birk M, Boudon V, Campargue A, Chance K 2017 J. Quant. Spectrosc. Radiat. Transfer 203 3Google Scholar

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    Hill C, Gordon I E, Kochanov R V, Barrett L, Wilzewski J S, Rothman L S 2016 J. Quant. Spectrosc. Radiat. Transfer 177 4Google Scholar

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    Bernardo C, Griffith D W T 2005 J. Quant. Spectrosc. Radiat. Transfer 95 141Google Scholar

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    Kochanov R V, Gordon I, Rothman L, Wcisło P, Hill C, Wilzewski J 2016 J. Quant. Spectrosc. Radiat. Transfer 177 15Google Scholar

  • 图 1  干涉仪

    Figure 1.  Interferometer.

    图 2  (a)仪器主机在线测量状态; (b)仪器外界进气口

    Figure 2.  (a) Online measurement status of instrument host; (b) external air inlet of the instrument.

    图 3  (a) CO2在2290—2380 cm–1的光谱线强度Sij; (b) CO2在2290—2380 cm–1的吸收系数kij; (c) CO2仿真吸光度谱Aij

    Figure 3.  (a) the spectral line intensity Sij at 2290–2380 cm–1 of CO2; (b) absorption coefficient kij at 2290–2380 cm–1 of CO2; (c) simulated absorbance spectrum Aij of CO2.

    图 4  (a) CO2在2290—2380 cm–1的仿真吸光度谱Aij; (b) 297—306 K下仿真吸光度谱相比于296 K仿真吸收光谱在拟合波段的残差

    Figure 4.  (a) The simulated absorbance spectrum Aij under 286–306 K of CO2; (b) the residual of the simulated absorbance spectrum at 297–306 K compared to the simulated absorption spectrum at 296 K in the fitted band.

    图 5  (a)光谱数据(1000—3500 cm–1); (b)光谱数据的一致性

    Figure 5.  (a) Spectral data; (b) consistency of spectral data.

    图 6  (a) CO2浓度趋势对比; (b) CO2浓度值线性拟合; (c)校准后CO2浓度趋势对比; (d)校准后CO2浓度值线性拟合

    Figure 6.  (a) CO2 concentration trend comparison; (b) CO2 concentration value linear fitting; (c) CO2 concentration trend comparison after calibration; (d) linear fitting of CO2 concentration value after calibration.

  • [1]

    Keeling C D, Whorf T P, Wahlen M, Van der Plichtt J 1995 Nature 375 666Google Scholar

    [2]

    Hodgkinson J, Smith R, Ho W O, Saffell J R, Tatam R P 2013 Sens. Actuators, B 186 580Google Scholar

    [3]

    Chen H, Winderlich J, Gerbig C, Hoefer A, Rella C W, Crosson E R, Van Pelt A D, Steinbach J, Kolle O, Beck V, Daube B C, Gottlieb E W, Chow V Y, Santoni G W, Wofsy S C 2010 Atmos. Meas. Tech. 3 375Google Scholar

    [4]

    程巳阳, 徐亮, 高闽光, 金岭, 李胜, 冯书香, 刘建国, 刘文清 2013 物理学报 62 124206Google Scholar

    Cheng S Y, Xu L, Cao M G, Jin L, Li S, Feng S X, Liu J G, Liu W Q 2013 Acta Phys. Sin. 62 124206Google Scholar

    [5]

    Zhang C, Liu C, Hu Q, Cai Z, Su W, Xia C, Zhu Y, Wang S, Liu J 2019 Light- Sci. Appl. 8 1Google Scholar

    [6]

    Zhang C, Liu C, Chan K L, Hu Q, Liu H, Li B, Xing C, Tan W, Zhou H, Si F 2020 Light-Sci. Appl. 9 1Google Scholar

    [7]

    Lamouroux J, Régalia L, Thomas X, Vander Auwera J, Gamache R, Hartmann J M 2015 J. Quant. Spectrosc. Radiat. Transfer 151 88Google Scholar

    [8]

    Griffith D W 1996 Appl. Spectrosc. 50 59Google Scholar

    [9]

    Esler M B, Griffith D W, Wilson S R, Steele L P 2000 Anal. Chem. 72 206Google Scholar

    [10]

    Hammer S, Griffith D W T, Konrad G, Vardagl S, Caldow C, Levin I 2013 Atmos. Meas. Tech. 6 1153Google Scholar

    [11]

    Griffith D W T, Deutscher N M, Caldow C, Kettlewell G, Riggenbach M, Hammer S 2012 Atmos. Meas. Tech. 5 2481Google Scholar

    [12]

    Griffiths P R, De Haseth J A 2007 Fourier Transform Infrared Spectrometry (Vol. 171) (New Jersey: John Wiley & Sons, Inc) pp19−21

    [13]

    Arnold J O, Whiting E E, Lyle G C 1969 J. Quant. Spectrosc. Radiat. Transfer 9 775Google Scholar

    [14]

    Heinz D C 2001 IEEE Trans. Geosci. Electron. 39 529Google Scholar

    [15]

    冯明春, 徐亮, 刘文清, 刘建国, 高闽光, 魏秀丽 2016 物理学报 65 014210Google Scholar

    Feng M C, Xu L, Liu W Q, Liu J G, Gao M G, Wei X L 2016 Acta Phys. Sin. 65 014210Google Scholar

    [16]

    焦洋, 徐亮, 高闽光, 金岭, 童晶晶, 李胜, 魏秀丽 2013 物理学报 62 140705Google Scholar

    Jiao Y, Xu L, Gao M G, Jin L, Tong J J, Li S, Wei X L 2013 Acta Phys. Sin 62 140705Google Scholar

    [17]

    Gordon I E, Rothman L S, Hill C, Kochanov R V, Tan Y, Bernath P F, Birk M, Boudon V, Campargue A, Chance K 2017 J. Quant. Spectrosc. Radiat. Transfer 203 3Google Scholar

    [18]

    Hill C, Gordon I E, Kochanov R V, Barrett L, Wilzewski J S, Rothman L S 2016 J. Quant. Spectrosc. Radiat. Transfer 177 4Google Scholar

    [19]

    Bernardo C, Griffith D W T 2005 J. Quant. Spectrosc. Radiat. Transfer 95 141Google Scholar

    [20]

    Kochanov R V, Gordon I, Rothman L, Wcisło P, Hill C, Wilzewski J 2016 J. Quant. Spectrosc. Radiat. Transfer 177 15Google Scholar

Metrics
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Publishing process
  • Received Date:  10 October 2020
  • Accepted Date:  23 November 2020
  • Available Online:  26 March 2021
  • Published Online:  05 April 2021

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