{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T07:21:04Z","timestamp":1777706464441,"version":"3.51.4"},"reference-count":22,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2024,3,22]],"date-time":"2024-03-22T00:00:00Z","timestamp":1711065600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems: Applications in Engineering and Technology"],"published-print":{"date-parts":[[2026,2]]},"abstract":"<jats:p>The paper gives a systems analysis in the field of heat transfer and temperature distribution (TD) along the length of oil production wells (OPW). The analysis shows that the existing mathematical models are suitable only for determining TD along the length of casing string (CS) and are not suitable for determining TD along the length of the tubing run, since the existence of the interfacial (between the CS and the tubing) annulus of the fluid and gas layers with heat capacity and thermal conductivity that differ significantly from the heat capacity and thermal conductivity of rocks surrounding the CS. Given the above, mathematical models taking into account the impact of the fluid and gas layers in the annulus on the heat transfer from the upward fluid flow to the tubing wall and from the wall to the interfacial annulus are developed. To ensure the technological effectiveness of the obtained model, formulas for quantitative estimation of the heat transfer of the fluid flow into the surrounding environment are given.<\/jats:p>","DOI":"10.3233\/jifs-219366","type":"journal-article","created":{"date-parts":[[2024,3,22]],"date-time":"2024-03-22T11:59:29Z","timestamp":1711108769000},"page":"483-489","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["A mathematical model of temperature distribution along the length of the oil production well"],"prefix":"10.1177","volume":"50","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9898-6829","authenticated-orcid":false,"given":"Shahnaz N.","family":"Shahbazova","sequence":"first","affiliation":[{"name":"Azerbaijan State University of Economics","place":["Azerbaijan"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ab.G.","family":"Rzayev","sequence":"additional","affiliation":[{"name":"Institute of Control Systems of the Ministry of Science and Education of the Republic of Azerbaijan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.Sh.","family":"Asadova","sequence":"additional","affiliation":[{"name":"Institute of Control Systems of the Ministry of Science and Education of the Republic of Azerbaijan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K.M.","family":"Jabiyev","sequence":"additional","affiliation":[{"name":"Institute of Control Systems of the Ministry of Science and Education of the Republic of Azerbaijan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2024,3,22]]},"reference":[{"key":"e_1_3_1_2_1","unstructured":"ChekalyukE.B. Thermodynamics of an oil reservoir M.: Nedra 1965 200 p."},{"key":"e_1_3_1_3_1","unstructured":"Yu. Korobov G. Mordvinov V.A. Temperature distribution along the wellbore of a production well Moscow Neftyanoye khozyaystvo 2013 No 4 pp. 57\u201359."},{"key":"e_1_3_1_4_1","unstructured":"Ye. Areshev G. Plynin V.V.PopovO.K.Shtyrlin V.F. Nature of anomalous data of thermohydrodynamic survey of oil wells Moscow Neftyanoye khozyaystvo 2000 No 3 pp. 41\u201347."},{"key":"e_1_3_1_5_1","unstructured":"GuluyevG.A.RzayevAb.G.RasulovS.R. et al.Mathematical modeling of heat transfer process in an oil wellbore Moscow Avtomatizatsiya telemehanizatsiya i svyaz v neftyanoy promyshlennoy istorii 2015 No 1 pp. 44\u201347."},{"key":"e_1_3_1_6_1","unstructured":"RzayevAb.G.GuluyevG.A. et al. The relationship between temperature differences at the wellhead and the production rate of oil wells Baku Transactions of the Azerbaijan National Academy of Sciences 2011 No 3 pp. 125\u2013129."},{"key":"e_1_3_1_7_1","doi-asserted-by":"crossref","unstructured":"Abbas Rzaev Gambar Quliyev et al. Determining oil well debit using outlet temperature information processing Proceeding of the sixth international conference on management science and engineering management Springer Verlag London 2013 Vol. 1 Chap. 4 p. 55\u201364.","DOI":"10.1007\/978-1-4471-4600-1_4"},{"issue":"6","key":"e_1_3_1_8_1","first-page":"337","article-title":"Mathematical Models for determining the distribution of fluid flow temperature along the wellbore and horizontal pipeline","volume":"21","author":"Rzaev Ab.H.","year":"2020","unstructured":"RzaevAb.H.QuliyevG.A.PashayevF.H., et al. Mathematical Models for determining the distribution of fluid flow temperature along the wellbore and horizontal pipeline, Mexatronika, Automatization, Control21(6) (2020), 337\u2013347.","journal-title":"Mexatronika, Automatization, Control"},{"key":"e_1_3_1_9_1","unstructured":"MishchenkoI.T. Downhole oil production M.: Neft i Gaz 2003 316 p."},{"key":"e_1_3_1_10_1","unstructured":"MordvinovV.A.TurbakovM.S.YerofeyevA.A. Method of evaluation of the beginning of intensive paraffinization of downhole equipment Moscow Neftyanoye khozyaystvo 2010 No 7 pp. 112\u2013115."},{"key":"e_1_3_1_11_1","unstructured":"TurbakovM.S.YerofeyevA.A. Results of the identification of the thermodynamic conditions for the formation of asphaltene-resin-paraffin deposits in the wells of a Siberian oil field Moscow Neftyanoye khozyaystvo 2010 No 11 pp. 106\u2013107."},{"key":"e_1_3_1_12_1","unstructured":"WongH. Handbook of essential formulae and data on heat transfer for engineers. Translated from English -M.: Atomizdat 1979 216 p."},{"key":"e_1_3_1_13_1","unstructured":"KasatkinA.G. Main processes and machines of chemical engineering. \u2013M.: \u2013L. : Chemistry 1960 830 p."},{"key":"e_1_3_1_14_1","unstructured":"LeibenzonL.S. Collection of works Vol. 3 Oilfield mechanics Moscow: Publishing House of the Academy of Sciences of the USSR 1955 520 p."},{"issue":"1","key":"e_1_3_1_15_1","first-page":"268","article-title":"Asphaltene-resin-paraffin deposits in the processes of production, transport and, storage","author":"Ivanova L.V.","year":"2011","unstructured":"IvanovaL.V.BurovYe.A.KoshelevV.N., Asphaltene-resin-paraffin deposits in the processes of production, transport and, storage, Electronic Scientific Journal Neftegazovoye Delo(1) (2011), 268\u2013284.","journal-title":"Electronic Scientific Journal Neftegazovoye Delo"},{"key":"e_1_3_1_16_1","unstructured":"PersiyantsevM.N. Oil production in complicated conditions Moscow: Nedra-Biznestsentr LLC 2000 653 p."},{"key":"e_1_3_1_17_1","unstructured":"TronovV.P. Mechanism of resin-paraffin deposits formation and their control M.: Nedra 1970 192 p."},{"key":"e_1_3_1_18_1","unstructured":"KlyumovM.Sh.TronovV.P.GuskovI.A.LapayevA.A. Specifics of formation of asphaltene-resin-paraffin deposits at the late stage of oil field development Neftyanoye Khozyaistvo 2006 No 3 pp.48\u201349."},{"key":"e_1_3_1_19_1","unstructured":"SorokinS.A.KhavkinS.A. Specifics of physical and chemical mechanism of ARPD formation in wells Burenie i Neft. 2007 No 10 pp. 30\u201331."},{"key":"e_1_3_1_20_1","unstructured":"LutoshkinG.S. 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