This work seeks to realize physical and numerical simulation of the mechanical behavior of the wellbore stability for continuum environment.The Continunm s mechanical behavior is approach by two ways: i) Classic Continuum Theory and ii) Cosserat Continuum. On the second approach, the theory allows an extra degree of freedom, which plays an important rule on instabilities and bifurcation problems; this allows a more realistic numerical simulation of the failure mechanism observed on circular cavity. The Classic Continuum Theory is associated to a Mohr-Coulomb constitutive model. On the other hand for Cosserat Theory s applied tow constitutive models: Mohr-Coulomb and Modified Bogdanova-Lippmann.The generalized continuum takes in account the microstructure of the material.It s used on all tests Botucatu s specimens, which were acquired at São Paulo and Paraná. For characterize the rock s behavior it s realized triaxial, uniaxial and brazilian tests. Then the physical simulation of the circular cavity s behavior was analyzed for two geometries: cubic samples (biaxial stress) and cylindric samples (TWC – Thick Walled Cylinder). The failure mechanism of circular cavity was followed visually (cubic samples) and with CT X-Ray in real time (cylindric samples).From the experimental observations of the failure mechanism of circular cavity and numerical simulations, with Classic Continuum and Cosserat, was possible to verify that both approaches reproduce the behavior of the rocks observed on experimental data.