The results of a numerical experiment to determine the thermal impact of a gas well cluster on permafrost rocks are given for the conditions of four deposits of Central Yakutiya, Middle-Vilyuy (Srednevilyuiskoe), Middle-Tyung (Srednetyungskoe), Sobolokh–Nidzhili (Sobolokh-Nidzhilinskoe), and Tolon–Mastakh (Tolon-Mastakhskoe). An approximate mathematical problem is solved in a conjugate formulation. In this case, the process of melting of permafrost rocks is described within the framework of a three-dimensional Stefan problem, and the motion of real gas in wells is described within the framework of tubular hydraulics. Use has been made of real data for temperature well logging, formation pressure and temperature, well flow rate, gas composition, and thermophysical properties of rocks. The melting of frozen rock depending on the depth and time has been calculated, and instants of time for linkage of thaw zones of neighboring wells have also been computed.
Similar content being viewed by others
References
P. P. Permyakov, Influence of the cryolytic zone at the base of the submerged crossing of the Lena River, Gaz. Prom., No. 2, 59–61 (2013).
D. V. Shevelev, Dynamics of Complex Thermal Interaction of Oil and Gas Wells with Permafrost Rocks, Candidate′s Dissertation in Physics and Mathematics, TyumGU, Tyumen (2008).
K. K. Argunova, É. A. Bondarev, and I. I. Rozhin, Thermal interaction of oil-producing wells with permafrost rocks, Nauka Obr., No. 4, 78−83 (2008).
K. A. Polozkov, Selection of distances between cluster producing wells in permafrost zones, Stroit. Neft. Gaz. Skvazhin Sushe More, No. 3, 21−29 (2008).
VRD 39-1.9-015-2000, Manual of Thermometric Methods to Control the Quality of Construction and Casing of Wells in Permafrost and Low-Temperature Rocks [in Russian], OAO "Gazprom," OOO "VNIIGaz," and OOO "IRTs "Gazprom" (2001).
É. A. Bondarev, I. I. Rozhin, and K. K. Argunova, Modeling the formation of hydrates in gas wells in their thermal interaction with rocks, J. Eng. Phys. Thermophys., 87, No. 4, 900−907 (2014).
I. Yu. Bykov, V. V. Pushkin, and V. N. Pushkin, Dynamics of axisymmetric freezing of the wellhead zone under the conditions of ventilated shaft direction with allowance for the influence of cement, Stroit. Neft. Gaz. Skvazhin Sushe More, No. 3, 15−19 (2011).
S. G. Martyushev, I. V. Miroshnichenko, and M. A. Sheremet, Numerical analysis of spatial unsteady regimes of conjugate convective-radiative heat transfer in a closed volume with an energy source, J. Eng. Phys. Thermophys., 87, No. 1, 124−134 (2014).
S. P. Stepanov, I. K. Sirditov, M. V. Vasil′eva, P. N. Vabishchevich, and V. I. Vasil′ev, Development of software for numerical simulation of a thermal regime of grounds under cryolytic-zone conditions, Vestn. Severo-Vost. Fed. Univ. im. M. K. Ammosova, No. 3 (4), 115−126 (2015).
V. I. Vasil’ev, M. V. Vasil’eva, I. K. Sirditov, S. P. Stepanov, and A. N. Tseeva, Mathematical modeling of a thermal regime of foundation base grounds under permafrost conditions, Vestn. Moskovsk. Gos. Tekh. Univ. im. N. É. Baumana, Series "Estestvennye Nauki," No. 1 (70), 142−159 (2017).
P. N. Vabishchevich, S. P. Varlamov, V. I. Vasil’ev, M. V. Vasil’eva, and S. P. Stepanov, Mathematical modeling of a thermal regime of a railway bed under cryolytic-zone conditions, Vestn. Severo-Vost. Fed. Univ. im. M. K. Ammosova, 10, No. 5, 5−11 (2013).
Ya. B. Gorelik, A. B. Shabarov, and Yu. S. Sysuev, Dynamics of melting of frozen rocks in the zone of influence of two wells, Kriosfera Zemli, 12, No. 1, 59−65 (2008).
F. S. Popov, Computational Methods of Engineering Geocryology [in Russian], Sibirskaya Izdatel′skaya Firma RAN, Nauka, Novosibirsk (1995).
PB 08-624-03. Safety Regulations in the Oil and Gas Industry [in Russian], Nauchn.-Tekhnich. Tsentr po Bezopasnosti v Promeshlennosti Gosgortekhnadzora Rossii, Moscow (2003).
A. M. Meirmanov, The Stefan Problem [in Russian], Nauka, Sibirskoe Otdelenie, Novosibirsk (1986).
A. A. Samarskii and B. D. Moiseenko, An economic continuous calculation scheme for Stefan multidimensional problems, Zh. Vych. Mat. Mat. Fiz., 5, No. 5, 816−827 (1965).
É. A. Bondarev, V. I. Vasil’ev, A. F. Voevodin, N. N. Pavlov, and A. P. Shadrina, Thermohydrodynamics of Gas Production and Transport Systems [in Russian], Nauka, Sibirskoe Otdelenie, Novosibirsk (1988).
É. A. Bondarev and K. K. Argunova, Mathematical models of formation of hydrates in gas wells, Proc. XIV Baikal All-Russia Conf. "Information and Mathematical Technologies in Science and Management," Part III, July 5–15, 2009, Irkutsk–Baikal (2009), pp. 41−51.
S. I. Isaev, I. A. Kozhinov, V. I. Kofanov, A. I. Leontiev, B. M. Mironov, V. M. Nikitin, G. B. Petrazhitskii, V. I. Khvostov, A. G. Chukaev, E. V. Shishov, and V. V. Shkola, The Theory of Heat and Mass Transfer [in Russian], Izd. MGTU im. N. É. Baumana, Moscow (2018).
W. B. Kay, Density of hydrocarbon gases and vapors at high temperature and pressures, Ind. Eng. Chem. Res., 28, 1014−1019 (1936).
V. P . Semenov, Geotemperature Field and Cryolytic Zone of the Vilyui Syneclise, Candidate′s Dissertation in Geology and Mineralogy, Yakutsk (2018).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 93, No. 5, pp. 1162–1170, September–October, 2020.
Rights and permissions
About this article
Cite this article
Ivanov, V.A., Rozhin, I.I. Thermal Interaction of a Gas Well Cluster with Permafrost Rocks of the Most Promising Deposits of Central Yakutiya. J Eng Phys Thermophy 93, 1123–1130 (2020). https://doi.org/10.1007/s10891-020-02213-5
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-020-02213-5