Analise do comportamento de reservatorios heterogeneos submetidos a injeção de agua

AUTOR(ES)
DATA DE PUBLICAÇÃO

1994

RESUMO

The present work studies the incompressible flow of two immiscible fluids (a wetting fluid displacing a non_wetting one) in heterogeneous reservoirs composed of a continuous fraction of high transmissibility surrounding a discontiÍmous fraction of low transmissibility. The mathematical formulation used to represent the incompressible flow in the heterogeneous medium admits flow due to convective forces in the more permeable fraction, and mass transfer between the more permeable fraction and the less permeable fraction, which is proportional to the difference in: saturation between them. The resultant hyperbolic system of equations is solved by the method of characteristics for a generic fractional flow curve. The solution leads to a shock front of saturation of the wetting fluid in the more permeable fraction, whose velocity and saturation decrease in time, due to the mass transfer between the two fractions. The rate of reduction in the velocity of the shock front depends on the intensity of oi! recovery from the less permeable fraction of the reservoir. The mass transfer models reported in the petroleum literature are used to calculate the mass transfer coefficient of the proposed model. The model validation is obtained through a laboratory experiment reported in the literature. Another mathematical formulation that considers a diffusion-type equation for the less permeable fraction is presented. The numerical solution for this formulation is time consuming. So an approximate solution, based on the mean value theorem for integrais, was developped. A practical example with field data is presented

ASSUNTO(S)

reservatorios - modelo matematicos petroleo - reservas massa - transferencia

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