Electrical heating with horizontal wells, the heat transfer problem

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Outline

  • Present our mathematical solution of the axial heat transfer problem for electrical heating of a horizontal well.
  • Present some results.

Calculation Procedure

  • Derive the Heat Transfer PDE for each region.
  • Obtain the Laplace Transforms of these equations.
  • Solve the above equations.
  • Construct a system of linear equations and determine the unknown coefficients using the boundary conditions and matrix algebra.
  • Determine the energy transfer into wellbore and solve the transformed heat transfer equation there.
  • Invert the Laplace solution into the time domain.

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