All Days 2001
DOI: 10.2118/70015-ms
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Literature Review on Correlations of the Non-Darcy Coefficient

Abstract: TX 75083-3836, U.S.A., fax 01-972-952-9435. AbstractDarcy's law can not describe fluid flow accurately when the flow rate is high. In most cases in the recovery process, fluid flow is governed by Darcy's law. But when the flow rate is very high, for an instance, near the wellbore, Darcy's law is inadequate to describe fluid flow.In 1901, Forchheimer put forward a classical equation, known as the Forchheimer equation, to make up the deficiency encountered by Darcy's law at high flow rates. He added a non-Darcy … Show more

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Cited by 108 publications
(35 citation statements)
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References 33 publications
(57 reference statements)
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“…Then the REV determined by nonDarcy coefficient and the REV determined by inherent permeability should be consistent, but more studies have shown that the non-Darcy coefficient is not only related to the intrinsic permeability of media. Evans and Civan [52], Geertsma [53], and Macdonald et al [54] found that nonDarcy coefficient is also related to the effective porosity of the pore medium; Li and Engler [55] and Veyskarami et al [56] proposed that, for isotropic media, several correlations relate to petrophysical parameters (in particular , k, and the tortuosity ); Knupp and Lage [57] also pointed out that is related to the inherent permeability and inertia coefficient , where represents the microform resistance exerted by the solid porous substrate; that is to say, it depends on the geometry of the solids in each basic representative volume of the porous medium. It is noteworthy that and are independent parameters.…”
Section: Discussionmentioning
confidence: 99%
“…Then the REV determined by nonDarcy coefficient and the REV determined by inherent permeability should be consistent, but more studies have shown that the non-Darcy coefficient is not only related to the intrinsic permeability of media. Evans and Civan [52], Geertsma [53], and Macdonald et al [54] found that nonDarcy coefficient is also related to the effective porosity of the pore medium; Li and Engler [55] and Veyskarami et al [56] proposed that, for isotropic media, several correlations relate to petrophysical parameters (in particular , k, and the tortuosity ); Knupp and Lage [57] also pointed out that is related to the inherent permeability and inertia coefficient , where represents the microform resistance exerted by the solid porous substrate; that is to say, it depends on the geometry of the solids in each basic representative volume of the porous medium. It is noteworthy that and are independent parameters.…”
Section: Discussionmentioning
confidence: 99%
“…was also called velocity coefficient [26], inertial resistance coefficient [27,28], turbulence factor [29,30], inertial coefficient [31], and so on. Although can be determined by (5a) and (5b), it is important to hold that is a function of the porous medium such as and [32]. Chen et al [33] and Zhou et al [34,35] confirmed that the relation between and follows a power law in the form of…”
Section: Prediction Of Hydraulic Properties Evolutionmentioning
confidence: 99%
“…These equations are based on the assumption that Forchheimer equation (4) parameter  is not straight forward and several experimental correlations have been proposed to estimate this parameter [10].…”
Section: Developed Analytical Modelmentioning
confidence: 99%
“…While the assumption of laminar flow near wellbore for oil reservoirs may be justified, this will introduce a significant error when applies to gas wells where turbulent flow near wellbore is dominant [10] [11]. This implies that Darcy flow calculations cannot be used to modify the induced stresses around the wellbore in case of a gas well.…”
Section: Introductionmentioning
confidence: 99%