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