Decomposition of Absorption Spectra of Natural Gas Samples Using the Spectral Complexity Criterion
Kistenev Yu. V.1, Vrazhnov D. A.1, Borisov A. V. 1
1Tomsk State University, Tomsk, Russia
Email: yuk@iao.ru, denis.vrazhnov@gmail.com, borisov@phys.tsu.ru
The main challenge in analyzing absorption spectra of natural gas mixtures lies in the fact that their composition is only partially known. Existing methods for decomposing spectra of such gas mixtures are effective when the number of components is small. This paper proposes a method for decomposing absorption spectra of gas samples with an unknown composition and an arbitrary number of components. The method is based on reducing the "complexity" of the spectrum by accurately removing one of the components from the composite spectrum. The method is demonstrated through an example assessing the presence and restoring the concentration of trace gas impurities in atmospheric air. Keywords: gas mixtures of natural origin, spectral analysis, decomposition.
- A. Trtyakov, D. Vrazhnov, A. Shkurinov, V. Zasedatel, Y. Kistenev. Appl. Sci., 14 (24), 11521 (2024). DOI: 10.3390/app142411521
- Y.Z. Liang, O.M. Kvalheim, R. Manne. Chemometr. Intell. Lab., 18 (3), 235 (1993). DOI: 10.1016/0169-7439(93)85001-W
- A. de Juan, R. Tauler. Anal. Chim. Acta, 1145, 59 (2021). DOI: 10.1016/j.aca.2020.10.051
- S. Ishihara, Y. Hattori, M. Otsuka, T. Sasaki. Crystals, 10 (9), 760 (2020). DOI: 10.3390/cryst10090760
- O.E. Rodionova, A.L. Pomerantsev. Zhurn. analit. khimii, 71 (1), 58 (2016) (in Russian). DOI: 10.7868/S0044450216010126
- P. Koscielniak, M. Wieczorek. Anal. Chim. Acta, 944, 14 (2016). DOI: 10.1016/j.aca.2016.09.024
- M.A. Merriman. Academy, 4, 1 (1877)
- H.P. Gavin. Department of Civil and Environmental Engineering, Duke University, 3, 1 (2019)
- K. Madsen, H.B. Nielsen, O. Tingleff. Methods for non-linear least squares problems. (Informatics and Mathematical Modelling Technical University of Denmark, 2004)
- K. Levenberg. Q. Appl. Math., 2 (2), 164 (1944)
- W.H. Lawton, E.A. Sylvestre. Technometrics, 13 (3), 617 (1971)
- S.K. Karimvand, M. Maeder, K. Bakhshi, H. Abdollahi. Anal. Chim. Acta, 1154, 338320 (2021). DOI: 10.1016/j.aca.2021.338320
- G.T. Rasmussen, T.L. Isenhour, J.O. Lephardt. Anal. Chim. Acta, 103 (3), 213 (1978). DOI: 10.1016/S0003-2670(01)84040-X
- O.S. Borgen, B.R. Kowalski. Anal. Chim. Acta, 174, 1 (1985). DOI: 10.1016/S0003-2670(00)84361-5
- R. Rajko, K. Istvan. J. Chemometr., 19 (8), 448 (2005). DOI: 10.1002/cem.947
- N. Ohta. Anal. Chem., 45 (3), 553 (1973). DOI: 10.1021/ac60325a010
- A. Meister. Anal. Chim. Acta, 161, 149 (1984). DOI: 10.1016/S0003-2670(00)85786-4
- S. Kawata, H. Komeda, K. Saito, S. Minami. Appl. Spectrosc., 39 (4), 610 (1985)
- B.G.M. Vandeginste, W. Derks, G. Kateman. Anal. Chem., 57 (6), 971 (1985). DOI: 10.1021/ac00283a005
- P.J. Gemperline. Anal. Chem., 71 (23), 5398 (1999). DOI: 10.1021/ac990648y
- G. Ahmadi, H. Abdollahi. Chemometr. Intell. Lab., 120, 59 (2013). DOI: 10.1016/j.chemolab.2012.11.007
- M. Vosough, C. Mason, R. Tauler, M. Jalali-Heravi, M. Maeder. J. Chemometr., 20 (6-7), 302 (2006). DOI: 10.1002/cem.1022
- A. Golshan, H. Abdollahi, M. Maeder. Anal. Chem., 83 (3), 836 (2011). DOI: 10.1021/ac102429q
- A. Golshan, M. Maeder, H. Abdollahi. Anal. Chim. Acta, 796, 20 (2013). DOI: 10.1016/j.aca.2013.08.007
- M. Ando, I.K. Lednev, H. Hamaguchi. In: Frontiers and Advances in Molecular Spectroscopy (Elsevier, 2018). P. 369. DOI: 10.1016/B978-0-12-811220-5.00011-3
- S. Banerjee, D. Li. Appl. Spectrosc., 45 (6), 1047 (1991)
- A.V. Borisov, D.A. Vrazhnov, Yu.V. Kistenev, A.P. Shkurinov, V.V. Zasedatel, A.A. Karapuzikov. J. Breath Res., 15 (2), 027104 (2021). DOI: 10.1088/1752-7163/abebd4
- A.V. Borisov, M.S. Snegerev, S. Colon-Rodriguez, M.A. Fikiet, I.K. Lednev, Yu.V. Kistenev. Sci. Rep., 14 (1), 23070 (2024). DOI: 10.1038/s41598-024-73563-w
- Yu.V. Kistenev, A.V. Borisov, A.A. Samarinova, S. Colon-Rodriguez, A. Viner, O.P. Cherkasova, D.A. Vrazhnov, M.A. Fikiet, I.K. Lednev. Sci. Rep., 13 (1), 5384 (2023). DOI: 10.1038/s41598-023-31918-9
- E.Yu. Yerushin, N.Yu. Kostyukova, A.A. Boyko, I.B. Miroshnichenko. PTE, 3, 67 (2024) (in Russian). DOI: 10.31857/S0032816224030082
- I.E. Gordon, L.S. Rothman, R.J. Hargreaves, R. Hashemi, E.V. Karlovets, F.M. Skinner, E.K. Conway, C. Hill, R.V. Kochanov, Y. Tan, P. Wcis o, A.A. Finenko, K. Nelson, P.F. Bernath, M. Birk, V. Boudon, A. Campargue, K.V. Chance, A. Coustenis, B.J. Drouin, J.-M. Flaud, R.R. Gamache, J.T. Hodges, D. Jacquemart, E.J. Mlawer, A.V. Nikitin, V.I. Perevalov, M. Rotger, J. Tennyson, G.C. Toon, H. Tran, V.G. Tyuterev, E.M. Adkins, A. Baker, A. Barbe, E. Cane, A.G. Csaszar, A. Dudaryonok, O. Egorov, A.J. Fleisher, H. Fleurbaey, A. Foltynowicz, T. Furtenbacher, J.J. Harrison, J.-M. Hartmann, V.-M. Horneman, X. Huang, T. Karman, J. Karns, S. Kassi, I. Kleiner, V. Kofman, F. Kwabia-Tchana, N.N. Lavrentieva, T.J. Lee, D.A. Long, A.A. Lukashevskaya, O.M. Lyulin, V.Yu. Makhnev, W. Matt, S.T. Massie, M. Melosso, S.N. Mikhailenko, D. Mondelain, H.S.P. Muller, O.V. Naumenko, A. Perrin, O.L. Polyansky, E. Raddaoui, P.L. Raston, Z.D. Reed, M. Rey, C. Richard, R. Tobias, I. Sadiek, D.W. Schwenke, E. Starikova, K. Sung, F. Tamassia, S.A. Tashkun, J. Vander Auwera, I.A. Vasilenko, A.A. Vigasin, G.L. Villanueva, B. Vispoel, G. Wagner, A. Yachmenev, S.N. Yurchenko. JQSRT, 277, 107949 (2022). DOI: doi.org/10.1016/j.jqsrt.2021.107949
- S.M. Semenov Fundament. i prikl. klimatologiya, 2 (105), 2018 (in Russian). DOI: 10.2172/768563
- R. Dryden, M.G. Morgan, A. Bostrom, W. Bruine de Bruin. Risk Anal., 38 (3), 525 (2018). DOI: 10.1111/risa.12856
- M. Meinshausen, S.J. Smith, K. Calvin, J.S. Daniel, M.L.T. Kainuma, J.-F. Lamarque, K. Matsumoto, S.A. Montzka, S.C.B. Raper, K. Riahi, A. Thomson, G.J.M. Velders, D.P.P. van Vuuren. Clim. Change, 109, 213 (2011). DOI: 10.1007/s10584-011-0156-z
- V.N. Arefyev, N.E. Chubarova, E.I. Grechko, A.V. Zharkov, and G.S. Rivkin. Izvestiya RAN. Fizika atmosfery i okeana, 50 (6), 655 (2014) (in Russian). DOI: 10.7868/S0002351514060030
- M. Shahgedanova, T.P. Burt, T.D. Davies. Water Air Soil Pollut., 112, 107 (1999). DOI: 10.1023/A:1005043916123
- H.M. Worden, M.N. Deeter, D.P. Edwards, J.C. Gille, J.R. Drummond, P. Nedelec. Atmos. Chem. Phys., 13 (2), 837 (2013). DOI: 10.5194/acp-13-837-2013
- A. Van Amstel. J. Integr. Environ. Sci., 9 (S1), 5 (2012). DOI: 10.1080/1943815X.2012.694892
- V.I. Bogoyavlensky, G.M. Tretyakova, and V.Yu. Zhuravlev. Arktika: ekologia i ekonomica, 12 (3), 351 (2022). DOI: 10.25283/2223-4594-2020-3-304-319
- D.V. Melnikov, S.V. Ushakov. V sb.: Geofizichesky monitoring i problemy seismicheskoy bezopasnosti Dal'nego Vostoka Rossii: trudi regionalnoy nauch.-tekhn. konferentsii, 11-17 November 2007. (GS of RAS, Petropavlosk-Kamchatsky, 2008). V. 1. P. 101 (IN RUSSIAN)
- E. Robinson, R.C. Robbins. J. Air Pollut. Control Assoc., 20 (4), 233 (1970). DOI: 10.1080/00022470.1970.10469396
- A.V. Eliseev, I.I. Mokhov, and A.V. Timazhev. Izvestiya RAN. Fiz. Atmos. Okeana, 55 (1), 41 (2019) (in Russian). DOI: 10.31857/S0002-351553141-53
- H. Tian, R. Xu, J.G. Canadell, R.L. Thompson, W. Winiwarter, P. Suntharalingam, E.A. Davidson, P. Ciais, R.B. Jackson, G. Janssens-Maenhout, M.J. Prather, P. Regnier, N. Pan, S. Pan, G.P. Peters, H. Shi, F.N. Tubiello, S. Zaehle, F. Zhou, A. Arneth, G. Battaglia, S. Berthet, L. Bopp, A.F. Bouwman, E.T. Buitenhuis, J. Chang, M.P. Chipperfield, S.R. Cranborne, S. Dangal, E. Dlugokencky, J.W. Elkins, B.D. Eyre, B. Fu, B. Hall, A. Ito, F. Joos, P.B. Krummel, A. Landolfi, G.G. Laruelle, R. Lauerwald, W. Li, S. Lienert, T. Maavara, M. MacLeod, D.B. Millet, S. Olin, P.K. Patra, R.G. Prinn, P.A. Raymond, D.J. Ruane, M.A. Saunois, J. Schroeder, R.J. Sindelar, K.M. Smith, R. Tohjima, F.N. Tubiello, G.R. van der Werf, N. Vuichard, J. Wang, R.F. Weiss, K.C. Wells, C. Wilson, J. Yang, Y. Yao. Nature, 586 (7828), 248 (2020). DOI: 10.1038/s41586-020-2780-0