Approximate analytical solutions to thermo-poro-elastic equations

• Autorzy: Yurusoy M. , Pakdemirli M. , Noyan O. F.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

thermo-poro-elastic equations; perturbation methods; similarity transformations

PL

materiałoznawstwo; transformacja podobieństwa; metoda zaburzeń

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2004
• Tom: Vol. 9, no 1
• Strony: 181--187
• Opis fizyczny: Bibliogr. 5 poz., tab., wykr.

Twórcy

autor

Yurusoy M.

• Department of Mechanical Education, Technical Education Faculty Afyon Kocatepe University 03200, Afyon, TURKEY

autor

Pakdemirli M.

• Department of Mechanical Engineering King Fahd University of Petroleum and Minerals Dhahran 31261, SAUDI ARABIA

autor

Noyan O. F.

• Department of Civil Engineering, Celal Bayar University 45140 Muradiye, Manisa, TURKEY

Bibliografia

• [1] Natale G. and Salusti E. (1996): Nonlinear temperature and pressure waves in fluid saturated porous rocks. - Geoph. J. Int., vol. 124, pp.649-656.
• [2] Merlani A.L., Natale G. and Salusti E. (1996): Temperature and pressure nonlinear waves in fluid saturated porous- permeable rocks. - Physica D, vol.90, pp. 154-169.
• [3] Merlani A.L., Natale G. and Salusti E. (1997): On the theory of pressure and temperature nonlinear waves in compressible fluid-saturated porous rocks. - Geophys. Astrophys. Fluid Dynamics, vol.85, pp.97-128.
• [4] Me Tigue D. F. (1986): Thermoelastic response of fluid-saturated rock. - J. Geoph. Res.,vol.91, pp.9533-9542.
• [5] Pakdemirli M. and Ytirusoy M. (1998): Similarity transformations for partial differential equations. - SIAM Rev., vol.40, pp.96-101.