SPE Journal
Volume 16, Number 1, March 2011, pp. 125-133

SPE-140135-PA

Analytical Models for Wellbore-Temperature Distribution

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DOI  More information 10.2118/140135-PA http://dx.doi.org/10.2118/140135-PA

Citation

  • Spindler, R. 2010. Analytical Models for Wellbore-Temperature Distribution. SPE J.  16 (1): 125-133. SPE-140135-PA. doi: 10.2118/140135-PA.

Discipline Categories

  • 6.2.2 Fluid Modeling, Equations of State

Keywords

  • wellbore, temperature, analytical model, differential equations, dimensional analysis

Summary

An analytical transient wellbore-temperature-distribution model that was previously approximated in the literature is solved exactly for either initial or boundary conditions in two different regions of position/time. In addition, the model is extended to include conduction effects and is solved explicitly for both initial conditions (ICs) and boundary conditions (BCs). The three solutions are compared and discussed. In the process, the fundamental temperature and momentum equations are made dimensionless to analyze the process of approximation quantitatively. Also arising from this analysis are the primary dimensionless parameters and scales that affect the solutions.

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History

  • Original manuscript received: 15 January 2010
  • Revised manuscript received: 13 April 2010
  • Manuscript approved: 17 June 2010
  • Published online: 11 November 2010
  • Version of record: 15 March 2011