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1 International Journal of Applied Mechanics and Engineering

1 2004

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Approximate analytical solutions to thermo-poro-elastic equations

Yurusoy M., Pakdemirli M., Noyan O. F.

International Journal of Applied Mechanics and Engineering

2004

Vol. 9, no 1

181-187

Thermo-poro-elastic equations describing the pressure and temperature diffusion from a deep layer of high temperature and pressure to a fluid saturated porous permeable layer are considered. The coupled partial differential system is transformed into an ordinary differential system via similarity transformations. Approximate analytical solutions to the ordinary differential system are found using perturbation methods and the criteria for validity of the solutions are established. Series solutions of the ordinary differential system are also given. Perturbation solutions and series solutions are contrasted with numerical solutions. When the criteria are met, perturbation solutions and numerical solutions are in good agreement. In contrast, the series solutions have a limited range of applicability.