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Temperature field in inhomogeneous strongly anisotropic medium with sources

Abstract

Using an “on-average exact” asymptotic method in a first approximation we constructed an analytical solution to the problem on the temperature field of heat sources in an anisotropic layer and ambient medium with dominant vertical thermal conduction. Results on temperature calculations in application to oil-gas formations are presented. It is shown that in the Laplace-Carson space, the zero and first expansion coefficients of the exact solution in terms of the asymptotic parameter coincide with those constructed on the base of the proposed method.

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References

  1. 1.

    Du, J. and Wang, B., Forced Convective Heat Transfer for Fluid Flowing through a Porous Medium with Internal Heat Generation, Heat Transfer-Asian Res., 2001, vol. 30, pp. 213–221.

    Article  Google Scholar 

  2. 2.

    Panda, J., Dash, N., and Dash, G., Heat and Mass Transfer on MFD Flow through Porous Media over an Accelerating Surface in the Presence of Suction and Blowing, J. Eng. Therm., 2012, vol. 21, no. 2, pp. 119–130.

    Article  Google Scholar 

  3. 3.

    Filippov, A.I., Mikhailov, P.N., Akhmetova, O.V., and Goryunova, M.A., Analysis of Temperature Field of a Cylindrical Flow Using On-Average Exact Solution, Prikl. Mekh. Tekhn. Fiz., 2010, vol. 51, no. 3, pp. 84–93.

    Google Scholar 

  4. 4.

    Filippov, A.I., Mikhailov, P.N., Akhmetova, O.V., and Goryunova, M.A., Construction of On-Average Exact Asymptotic Solution to the Problem on Radial Field Temperature Distribution in a Borehole, TVT, 2008, vol. 46, no. 3, pp. 449–456.

    Google Scholar 

  5. 5.

    Ditkin, V.A., Spravochnik po operatsionnomu ischisleniyu (Operational Calculus Handbook), Ditkin, V.A. and Prudnikov, A.P., Eds., Moscow: Vyssh. Shkola, 1965.

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Correspondence to A. I. Filippov.

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Filippov, A.I., Akhmetova, O.V., Zelenova, M.A. et al. Temperature field in inhomogeneous strongly anisotropic medium with sources. J. Engin. Thermophys. 23, 158–170 (2014). https://doi.org/10.1134/S1810232814020088

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Keywords

  • Bitumen
  • Anisotropic Medium
  • Image Space
  • Ambient Medium
  • Remainder Term