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“…The relationship between different process-controlling parameters was developed through the effective combination of those dimensionless groups. Finally, a model equation was developed for the displacement of oil by steam flood using modified Darcy's law by incorporating rock and fluid memory concepts (Hossain et al 2007(Hossain et al , 2008(Hossain et al , 2009. The flow equation can be written as follows:…”
Section: Mathematical Formulation Using Inspectional Analysismentioning
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“…The relationship between different process-controlling parameters was developed through the effective combination of those dimensionless groups. Finally, a model equation was developed for the displacement of oil by steam flood using modified Darcy's law by incorporating rock and fluid memory concepts (Hossain et al 2007(Hossain et al , 2008(Hossain et al , 2009. The flow equation can be written as follows:…”
Section: Mathematical Formulation Using Inspectional Analysismentioning
“…In EOR processes, alteration of rock-fluid properties during thermal recovery is well established in the literature (Hossain et al, 2007(Hossain et al, , 2008a(Hossain et al, , 2008b(Hossain et al, , 2009aHossain and Islam, 2009). This alteration occurs because when a fluid flows through a porous medium, the permeability of the matrix may vary locally with time (Iaffaldano et al, 2006;Cloot and Botha, 2006) for several reasons: chemical dissolution of the medium, swelling and flocculation, pore plugging and precipitation reactions, transport of particles obstructing the pores, mechanical compaction, and grain crumbling due to high pressure (Di Giuseppe et al, 2010).…”
Section: Introductionmentioning
“…The available models are unable to handle the alteration of rock and fluid properties with time during thermal operations (Marx and Langenheim, 1959;Willman et al, 1961;Spillette, 1965;Chan and Banerjee, 1981;Kaviany, 2002). Recent investigations show that due to memory and temperature variation in the formation, the porosity, permeability, and rheology of the reservoir may change as a result of continuous heat transfer within the fluid and rock matrix (Hossain et al, 2007(Hossain et al, , 2009aHossain, 2008). However, previous works did not consider the thermal effects in terms of Peclet number and other heat transfer coefficients when the rock and fluid temperatures are considered equal (T s = T f ).…”
Section: Introductionmentioning
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