Solução de problemas poroelasticos atraves do metodo dos elementos de contorno




The Biot s theory af poroelasticity is revisited making it more easily applicable to practical problems. The parameters used by Biot are redefined as functions of other ones with an easier and simpler physical interpretation. This helps their determination and the understanding of poroelastic phenomena. The equations that govern the theory of quasi-static linear poroelasticity, coupling elastic strain and fluid difusion in a saturated porous medium, are solved using the boundary element method (BEM). rn this work, the spatial discretization of the BEM integral equations is done considering constant and linear elements. The quasi-static formulation is solved in the domain of Laplace s variable with a posterior numerical inversion to the time domain. The method is applied to classical problems like the Lamé s cylinder, the infinite plate with a circular hole, the consolidation under a unidimensional load, etc., giving results that confirm those found in the literature. Other results that were achieved have immediate applicability in the study of oil wells stability and in their stimulation by hydraulic fracturing. The results that were obtained in the modelling of a borehole in a poroelastic formation allow the interpretation of the loss of its walls stability, by breakout, as a consequence of circunferencial fractures, normal to the direction of the minor tectonic stress, caused by tension effective radial stresses, due to a low pressure in the borehole. Those fractures create small piles that collapse by buckling andjor compression. The hydraulic fracturing operations made for oilwells stimulation show that it is easier to break the porous-permeable formation when there is flux of the fracturing fluido This means that the fluid presents a penetrating behavior. This fact is comproved in this thesis. The stress intensity factor, mode I, of a pressurized fracture in a porous medium is simulated. It is observed that it decreases with time tending to a constant minimum value


mecanica de rochas elasticidade engenharia do petroleo mecanica do solo metodos de elementos de contorno

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