Um sistema orientado por objetos para analise numerica da poroelasticidade acoplada pela tecnica dos elementos finitos

AUTOR(ES)
DATA DE PUBLICAÇÃO

1995

RESUMO

The finite element technique and concepts of object oriented programming are applied to the solution of plane strain problems from Biot s Theory of Poroelasticity. The fmite element technique was chosen due to the difficulty in obtaining analytic solutions, which, generally, require toa restrictive simplifications. The object oriented programming is used because of its high flexibility in the extension of the system to handle more complex problems. AIso the availability of a general purpose object oriented system to handle the finite element technique helped in the decision. Classes which are responsible for handling the information related to the equations of poroelasticity, boundary conditions and initial conditions were introduced to the system. The numerical formulation according to Biot s theory, and computational implementation, are discussed. The system is validated through the comparison to numerical and analytical results found in the literature. This validation was perfomed by solving a problem of a poroelastic column, and a problem of consolidation of a saturated day, subject to a partially distributed load on the surface. An application was performed to analyse the problem of a wellbore in a poroelastic medium, in which, pressures, effective and total stresses are computed and compared to analytic solutions. Possible extensions to the system, aiming at the treatment of more complex problems, are discussed.

ASSUNTO(S)

poroelasticidade mecanica do solo mecanica de rochas metodo dos elementos finitos programação orientada a objetos (computação)

ACESSO AO ARTIGO

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