Analise limite numérica de problemas axissimétricos em geotecnia: aplicação em estabilidade de poços
Palavras-chave:
Analise Limite Numérica, Programação cônica, Axissimetria, Poço, Mohr-Coulomb, Drucker-PragerResumo
This work presents the implementation of numerical limit analysis with mixed-weak formulation, based
on the lower bound limit theorem and its application in axisymmetric stability problems. The finite element formu-
lation was implemented in Matlab, where the optimization problem was established in two parts, the definition of
equilibrium equation and the adaptation of the Drucker-Prager and Mohr-Coulomb rupture criteria into the Second
Order Cone and Semidefined Programming, respectively. The numerical optimization problem was solved using
the MOSEK optimizer, the collapse factor and the velocities field was obtained, identifying the rupture mechanism
of the models. The presented implementation was applied to the stability analysis of a well. The results obtained
in the axissymmetric analysis were verified through analysis in three-dimensional models and compared with the
results obtained in the software Plaxis 2D, and Optum G2.
