Журнал нефтяной и экологической биотехнологии

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Modeling of Fluid Filtration around a Perforation and Wellbore and Investigating its Effect on Skin Factor

Maryam Boloorian1*, Mohammad Reza Rasaei2, Ali Nakhaee

In this paper, a mathematical model is presented for a water based mud filtration into a perforation and wellbore and its effect on reducing the relative permeability and damage of the formation. The proposed model includes fluid invasion, filter cake buildup, and relative permeability, formation damage model and skin factor. The penetration of solid particles into the formation was avoided. Filter cake and mud filtration models were developed based on a mass balance equation of cake deposition and erosion and Darcy's equation. The invasion flow of mud filtrate into the formation was considered radial. A convection dispersion equation was solved numerically to characterize filtrate invasion.

In this paper, a mathematical model is presented for a water based mud filtration into a perforation and wellbore and its effect on reducing the relative permeability and damage of the formation. The proposed model includes fluid invasion, filter cake buildup, and relative permeability, formation damage model and skin factor. The penetration of solid particles into the formation was avoided. Filter cake and mud filtration models were developed based on a mass balance equation of cake deposition and erosion and Darcy's equation. The invasion flow of mud filtrate into the formation was considered radial. A convection dispersion equation was solved numerically to characterize filtrate invasion.