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On the Lauwerier formulation of the temperature field problem in oil strata

Author

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  • Lyubomir Boyadjiev
  • Ognian Kamenov
  • Shyam Kalla

Abstract

The paper is concerned with the fractional extension of the Lauwerier formulation of the problem related to the temperature field description in a porous medium (sandstone) saturated with oil (strata). The boundary value problem for the fractional heat equation is solved by means of the Caputo differintegration operator D ∗ ( α ) of order 0 < α ≤ 1 and the Laplace transform. The solution is obtained in an integral form, where the integrand is expressed in terms of a convolution of two special functions of Wright type.

Suggested Citation

  • Lyubomir Boyadjiev & Ognian Kamenov & Shyam Kalla, 2005. "On the Lauwerier formulation of the temperature field problem in oil strata," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-12, January.
    • Handle: RePEc:hin:jijmms:258975
    DOI: 10.1155/IJMMS.2005.1577
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    Cited by:

    1. Guoshu Huang & Liang Liu & Mangen Mu & Jian Yang & Hui Ding, 2023. "Prediction of Dynamic Temperature and Thermal Front in a Multi-Aquifer Thermal Energy Storage System with Reinjection," Energies, MDPI, vol. 16(21), pages 1-24, October.

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