Abstract
Abstract A versatile numerical solution will be presented for simulating a compacting oil reservoir and its subsidence at the surface. The mathematical formulation was derived based on Biot's self consistent theory which describes a fully coupled governing equation system for a saturated oil reservoir. It consists of the equilibrium and continuity equations for oil, gas and water-phases flowing in a porous media. The non-linearities due to mobility and accumulation terms were implicitly determined at each iteration level. These non-linear variables account for the effects of reservoir heterogeneity, relative permeability contrasts, rock and fluid compressibility factors, capillary pressure and other rock properties. An elastoplastic reservoir rock model, based on a Mohr Coulomb yield surface, was used for simulating the deformation behaviour of both reservoir and overburden/underburden formations. The Galerkin based finite element method will be applied to obtain simultaneous solutions to the governing equation system where the displacement and the fluid pressures are the primary unknowns. Finally, several simulations are to be conducted for predicting the overall performance of a compacting oil reservoir and its subsidence problem at the surface.
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