Fractional extensions of the temperature field problems in oil strata

摘要

We consider fractional extensions of the incomplete lumped formulation and the lumped formulation of the temperature field problems in oil strata. Laplace transform is used to solve the corresponding heat equations with an additional term representing the internal heat sources. Efros theorem, a generalized form of the Laplace convolution, is used to obtain the analytic solutions. Special cases are mentioned.