1992
DOI: 10.2118/21248-pa
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A New Double-Porosity Reservoir Model for Oil/Water Flow Problems

Abstract: This paper presents a model that takes into account the transient nature of the imbibition process and the effect of variation in fracture saturation. Gravity effect is included in the calculation of the matrix equilibrium water saturation. This simple method requires only one equation per block per component. This is attained by an analytical transfer function that depends only on the fracture variables and by the assumption of instantaneous pressure equilibrium. The transfer function assumes that capillary p… Show more

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Cited by 24 publications
(17 citation statements)
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“…Some solutions were later proposed: the development of parallelepiped unit blocks (Barker 1985) and the model of two separate sets of matrix properties (Abdssah & Ershaghi 1986). As the double porosity approach continued to be used (Almeida & Oliveira 1990;Dutra & Aziz 1992;Lough et al 1997) and more recent works also discussed the flow through the matrix-fracture interface (Zhang ef ai 2006;Weatherill et al 2008), the coupling of the unit block data with a double porosity model is here suggested as a possible way to integrate the structural data into a numerical model of fractured aquifers 2 .…”
Section: Fig 24mentioning
confidence: 99%
“…Some solutions were later proposed: the development of parallelepiped unit blocks (Barker 1985) and the model of two separate sets of matrix properties (Abdssah & Ershaghi 1986). As the double porosity approach continued to be used (Almeida & Oliveira 1990;Dutra & Aziz 1992;Lough et al 1997) and more recent works also discussed the flow through the matrix-fracture interface (Zhang ef ai 2006;Weatherill et al 2008), the coupling of the unit block data with a double porosity model is here suggested as a possible way to integrate the structural data into a numerical model of fractured aquifers 2 .…”
Section: Fig 24mentioning
confidence: 99%
“…12 as a constant diffusion coefficient. Description of the diffusion coefficient D would allow to define a dimensionless time due to the following relationship (Chen et al 1995b;Dutra and Aziz 1991): Chen et al (1995a) used the following definition of the dimensionless time: Reis and Cil (1993) defined the following scaling group as similar to Eq. 14:…”
Section: Matrix-fracture Transfer Functions For Counter-current Intermentioning
confidence: 99%
“…(13) in Eq. (11) and rescaling the ensuing equation, we obtain the following dimensionless equation. Note that all the independent variables in this and coming equations are dimensionless and the subscript D is dropped for the reason of clear notation:…”
Section: Homogenization Procedures In Stepsmentioning
confidence: 99%
“…Also, more intuitive approaches can be found in the literature. Dutra and Aziz [11] presented a model that takes into account the transient nature of the imbibition process and the effect of variation in fracture saturation. Sarma and Aziz [21] proposed a general numerical technique to calculate the shape factor for any arbitrary shape of the matrix block, i.e.…”
Section: Introductionmentioning
confidence: 99%