Well drilling in permafrost regions: dynamics of the thawed zone

  • Lev V. Eppelbaum Department of Geosciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University
  • Izzy M. Kutasov BYG Consulting Co., Boston
Keywords: Radius of thawing, freezeback period, permafrost temperature, Stefan problem


In the cold regions, warm mud is usually used to drill deep wells. This mud causes formation thawing around wells, and as a rule is an uncertain parameter. For frozen soils, ice serves as a cementing material, so the strength of frozen soils is significantly reduced at the ice–water transition. If the thawing soil cannot withstand the load of overlying layers, consolidation will take place, and the corresponding settlement can cause significant surface shifts. Therefore, for long-term drilling or oil/gas production, the radius of thawing should be estimated to predict platform stability and the integrity of the well. It is known that physical properties of formations are drastically changed at the thawing–freezing transition. When interpreting geophysical logs, it is therefore important to know the radius of thawing and its dynamics during drilling and shut-in periods. We have shown earlier that for a cylindrical system the position of the phase interface in the Stefan problem can be approximated through two functions: one function determines the position of the melting-temperature isotherm in the problem without phase transitions, and the second function does not depend on time. For the drilling period, we will use this approach to estimate the radius of thawing. For the shut-in period, we will utilize an empirical equation based on the results of numerical modelling.


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Carslow H.S. & Jaeger J.C. 1959. Conduction of heat in solids. 2nd edn. Oxford: Oxford University Press.

Churchill S.W. & Gupta J.P. 1977. Approximations for conduction with freezing or melting. International Journal of Heat and Mass Transfer 20, 1251–1253, http://dx.doi.org/10.1016/0017-9310(77)90134-X.

Clow G.D. 2014. Temperature data acquired from the DOI/GTN-P Deep Borehole Array on the Arctic Slope of Alaska, 1973–2013. Earth System Science Data 6, 201–218, http://dx.doi.org/10.5194/essd-6-201-2014.

Dobinski W. 2011. Permafrost. Earth-Science Reviews 108, 158–169, http://dx.doi.org/10.1016/j.earscirev.2011.06.007.

Edwardson M.L., Girner H.M., Parkinson H.R., Williams C.D. & Matthews C.S. 1962. Calculation of formation temperature disturbances caused by mud circulation. Journal of Petroleum Technology 14(4), 416–426, http://dx.doi.org/10.2118/124-PA.

Eppelbaum L.V., Kutasov I.M. & Pilchin A.N. 2014. Applied geothermics. Heidelberg: Springer.

Harlan R.L. 1973. Analysis of coupled heat-fluid transport in partially frozen soil. Water Resources Research 9, 1314–1323, http://dx.doi.org/10.1029/WR009i005p01314.

Hasan A.R. & Kabir C.S. 1994. Aspects of wellbore heat transfer during two-phase flow. SPE Production & Facilities 9, 211–216, http://dx.doi.org/10.2118/22948-PA.

Hnatiuk J. & Randall A.G. 1977. Determination of permafrost thickness in wells in northern Canada. Canadian Journal of Earth Sciences 14, 375–383, http://dx.doi.org/10.1139/e77-038.

Jaeger J.C. 1961. The effect of the drilling fluid on temperature measured in boreholes. Journal of Geophysical Research 66, 563–569.

Judge A.S., Taylor A.E., Burgess M. & Allen V.S. 1981. Canadian geothermal data collection: northern wells 1978–80. Geothermal Series 12. Ottawa: Earth Physics Branch, Energy, Mines and Resources.

Kutasov I.M. 1987. Dimensionless temperature, cumulative heat flow and heat flow rate for a well with a constant bore-face temperature. Geothermics 16, 467–472, http://dx.doi.org/10.1016/0375-6505(87)90032-0.

Kutasov I.M. 1998. Melting around a cylindrical source with a constant wall temperature. In G.E. Tupholme & A.S. Wood (eds.): Mathematics of heat transfer. Pp. 213–218. Oxford: Clarendon Press.

Kutasov I.M. 1999. Applied geothermics for petroleum engineers. Amsterdam: Elsevier.

Kutasov I.M. 2006. Radius of thawing around an injection well and time of complete freezeback. Journal of Geophysics and Engineering 3, 154–159, http://dx.doi.org/10.1088/1742-2132/3/2/006.

Kutasov I.M., Balobayev V.T. & Demchenko R.Y. 1977. Metod “shivaniya” reshenii pri opredelenii ploskoi I zilindricheskoi granitzy razdela faz f zadache Stefana. (Method of “joining” of solutions in the determination of a plane and a cylindrical phase interface in the Stefan problem.) Engineering–Physical Journal (Inzhinerno-Geofizicheskii Zhurnal) 33, 148–152.

Kutasov I.M. & Eppelbaum L.V. 2003. Prediction of formation temperatures in permafrost regions from temperature logs in deep wells–field cases. Permafrost and Periglacial Processes 14, 247–258.

Kutasov I.M. & Eppelbaum L.V. 2017a. Time of refreezing of surrounding the wellbore thawed formations. International Journal of Thermal Science 122, 133–140, http://dx.doi.org/10.1016/j.ijthermalsci.2017.07.031.

Kutasov I.M. & Eppelbaum L.V. 2017b. Corrigendum to “Time of refreezing of surrounding the wellbore thawed formations.” International Journal of Thermal Science 124, 548.

Kutasov I.M. & Eppelbaum L.V. 2018. Utilization of the Horner plot for determining the temperature of frozen formations—a novel approach. Geothermics 71, 259–263, http://dx.doi.org/10.1016/j.geothermics.2017.10.005.

Kutasov I.M., Lubimova E.A. & Firsov F.V. 1966. Skorost’ vosstanovleniya temperaturnogo polya v skvazhinah Kol’skogo poluostrova. (Rate of recovery of the temperature field in wells in Kola Peninsula.) In: Problemy glubinnogo teplovogo potoka. (Problems of heat flux at depth.) Pp. 74–87. Moscow: Nauka.

Lachenbruch A.H. & Brewer M.C. 1959. Dissipation of the temperature effect of drilling a well in Arctic Alaska. U.S. Geological Survey Bulletin 1083-C, 74–109.

Lin S. 1971. One-dimensional freezing or melting processes in a body with variable cross-sectional area. International Journal of Heat and Mass Transfer 14, 153–156, http://dx.doi.org/10.1016/0017-9310(71)90146-3.

Lunardini V.J. 1988. Heat conduction with freezing or thawing. CRREL Monograph 88-1. Hanover, NH: US Army Corps of Engineers.

Melnikov P.I., Balobayev V.T., Kutasov I.M. & Devyatkin V.N. 1973. Geothermal studies in central Yakutia. International Geology Review 16, 565–568.

Ramey H.J.J. 1962. Wellbore heat transmission. Journal of Petrology Technology 14(4), 427–435.

Raymond L.R. 1969. Temperature distribution in a circulating drilling fluid. Journal of Petroleum Technology 21(3), 333–341, http://dx.doi.org/10.2118/2320-PA.

Romanovsky V.E., Gruber S., Instanes A., Jin H., Marchenko S.S., Smith S.L., Trombotto D. & Walter K.M. 2007. Frozen ground. In: UNEP global outlook for ice & snow. Pp. 181–200. Nairobi: Division of Early Warning and Assessment, United Nations Environment Programme.

Shiu K.C. & Beggs H.D. 1980. Predicting temperatures in flowing oil wells. Journal of Energy Resources Technology—Transactions of the ASME 102(1), 2–11, http://dx.doi.org/10.1115/1.3227845.

Sparrow S.W., Ramadhyani S. & Patankar S.V. 1978. Effect of subcooling on cylindrical melting. Journal of Heat Transfer 100, 395–402, http://dx.doi.org/10.1115/1.3450821.

Taylor A.E. 1978. Temperatures and heat flow in a system of cylindrical symmetry including a phase boundary. Geothermal Series 7. Ottawa: Earth Physics Branch, Energy, Mines and Resources.

Taylor A.E., Burgess M., Judge A.S. & Allen V.S. 1982. Canadian geothermal data collection: northern wells 1981. Geothermal Series 13. Ottawa: Earth Physics Branch, Energy, Mines and Resources.

Tien L.C. & Churchill S.W. 1965. Freezing front motion and heat transfer outside an infinite isothermal cylinder. A.I.Ch.E. Journal 11(5), 790–793, http://dx.doi.org/10.1002/aic.690110509.

Tsytovich N.A. 1975. The mechanics of frozen ground. Washington, DC: Scripta Book Co.

USGS 1998. Boreholes locations and permafrost depths. AK: U.S. Geological Survey. Accessed on the internet at https://nsidc.org/data/GGD223 on 5 April 2019.

Wang X., Wang Z., Deng X., Sun B., Zhao Y. & Fu W. 2017. Coupled thermal model of wellbore and permafrost in Arctic regions. Applied Thermal Engineering 123, 291–299, http://dx.doi.org/10.1016/j.applthermaleng.2017.05.186.

Wu Y.S. & Pruess K. 1990. An analytical solution for wellbore heat transmission in layered formations. SPE Reservoir Engineering 5, 531–538, http://dx.doi.org/10.2118/17497-PA.
How to Cite
Eppelbaum, L., & Kutasov, I. (2019). Well drilling in permafrost regions: dynamics of the thawed zone. Polar Research, 38. https://doi.org/10.33265/polar.v38.3351
Research Articles