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Title: Petroleum reservoir simulation coupling flow and subsidence
Author: Sukirman, Y.
Awarding Body: University College of Swansea
Current Institution: Swansea University
Date of Award: 1993
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A versatile numerical solution is presented for simulating a compacting oil reservoir and its subsidence at the surface. From a literature review, numerous studies related to this subject have been reported in various situations. Herein, a numerical model, based on the finite element method, was used for solving three dimensional, three immiscible and compressible fluids flowing in a deforming porous media. 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. In this thesis, 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 soil 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 was applied to obtain simultaneous solutions to the governing equation system where the displacement and the fluid pressures are the primary unknowns. The final discretized equations are solved by a direct solver using implicit procedures. A linear analysis was used to study the stability conditions of the present formulation and again showed that this implicit scheme is unconditionally stable. In the present simulation code, the convergence and mass balance checks are applied for monitoring an incremental numerical error within two different iteration calculations. Finally, several simulations were conducted in two different stages; firstly the validation and secondly an application of the present finite element code. A summary on future applications is also included.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available