Literature Review on Correlations of the Non-Darcy Coefficient

Li, Dacun; Engler, Thomas A.

doi:10.2523/70015-ms

Cited by 49 publications

(30 citation statements)

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“…In order to test Geertsma's proposition and to develop a general correlation for the non-Darcy flow coefficient, a large variety of single-and two-phase flow data were collected by these authors from various sources (Cornell and Katz 1953;Geertsma 1974;Evans et al 1987;Evans and Evans 1988;Whitney 1988) including studies on consolidated and unconsolidated porous media as well as an analysis of the effect of an immobile liquid saturation. On the basis of this, Liu et al (1995) proposed a more satisfactory correlation by including the tortuosity factor in the expression of the inertial coefficient given by…”

Section: Non-darcy Flow Coefficientmentioning

confidence: 98%

“…More recently, the importance of including tortuosity τ in the correlation has been pointed out by Liu et al (1995). In order to test Geertsma's proposition and to develop a general correlation for the non-Darcy flow coefficient, a large variety of single-and two-phase flow data were collected by these authors from various sources (Cornell and Katz 1953;Geertsma 1974;Evans et al 1987;Evans and Evans 1988;Whitney 1988) including studies on consolidated and unconsolidated porous media as well as an analysis of the effect of an immobile liquid saturation.…”

Section: Non-darcy Flow Coefficientmentioning

confidence: 99%

“…This has motivated the use of many different parameters for the correlations reported in the literature. The major parameters considered are the permeability (k), effective porosity (ε), and tortuosity (τ ), the three being related to each other (Li and Engler 2001).…”

Section: Non-darcy Flow Coefficientmentioning

confidence: 99%

“…1. In this term, β α is a coefficient (having a priori a tensorial form) generally called as the effective inertial resistance factor or high-velocity flow coefficient or non-Darcy flow coefficient (Geertsma 1974;Liu et al 1995).…”

Section: Introductionmentioning

confidence: 99%

“…Empirical relationships correlating β α with porosity, effective permeability, and saturation were proposed in the literature (Geertsma 1974;Evans et al 1987;Evans and Evans 1988;Liu et al 1995).…”

Section: Introductionmentioning

confidence: 99%

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Numerical Simulation of Two-Phase Inertial Flow in Heterogeneous Porous Media

2009

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In this study, non-Darcy inertial two-phase incompressible and non-stationary flow in heterogeneous porous media is analyzed using numerical simulations. For the purpose, a 3D numerical tool was fully developed using a finite volume formulation, although for clarity, results are presented in 1D and 2D configurations only. Since a formalized theoretical model confirmed by experimental data is still lacking, our study is based on the widely used generalized Darcy-Forchheimer model. First, a validation is performed by comparing numerical results of the saturation front kinetics with a semi-analytical solution inspired from the Buckley-Leverett model extended to take into account inertia. Second, we highlight the importance of inertial terms on the evolution of saturation fronts as a function of a suitable Reynolds number. Saturation fields are shown to have a structure markedly different from the classical case without inertia, especially for heterogeneous media, thereby, emphasizing the necessity of a more complete model than the classical generalized Darcy's one when inertial effects are not negligible.

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Section: Non-darcy Flow Coefficientmentioning

confidence: 98%

Section: Non-darcy Flow Coefficientmentioning

confidence: 99%

Section: Non-darcy Flow Coefficientmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical Simulation of Two-Phase Inertial Flow in Heterogeneous Porous Media

2009

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Effect of pore and confining pressure on the supercritical CO₂ permeability of sandstone: Implications for the effective pressure law

2017

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The liquid permeability of rock with distilled water or brine is different from that obtained using gas by variation in the confining pressure Pc and pore pressure Pp. In this study, as part of the research on CO2 geological storage, the permeability of sandstone was measured using supercritical CO2, and the effect of Pc and Pp on this permeability was analyzed. For applying the effective pressure law to the analysis, an effective pressure coefficient for permeability was derived experimentally. In order to utilize supercritical CO2, a non‐Darcy flow test with a high flow rate was conducted, and the permeability was estimated through the Forchheimer equation. We contoured iso‐permeability lines with confining and pore pressure conditions that have identical permeability, and the effective pressure coefficient, χ, was derived from the gradient of the lines following the definition of the effective pressure law. It was identified that the coefficient could be different depending on the pressure conditions. To clarify the variation of the coefficient, we derived the coefficient of χ(Pc, Pp) as a function of pore and confining pressure. The coefficient increased nonlinearly as the difference between Pc and Pp decreased, with a maximum of 1.36 being observed. The correlation between the effective pressure and the permeability were examined by applying empirical models. It was determined that the power law model was appropriate to estimate the change in supercritical CO2 permeability. Especially, it was deduced that the effective pressure with the derived coefficient would be more valid than the Terzaghi effective pressure.

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A Unified Approach for the Prediction of Dry Pressure Drop in Knitted‐Wire Mesh Demisters

Döß,

Schubert,

Bieberle

et al. 2024

Chemie Ingenieur Technik

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The removal of unwanted droplets in thermal separation units is often accomplished using knitted wire meshes. Alongside the separation efficiency, the pressure drop plays a crucial role for the design of these demisters. Wire meshes have been subject to limited investigations, and correlations for predicting the pressure drop, both with or without loading (referred to as dry pressure drop), have not yet been validated. To address this gap, experimental analyses of porosity and dry pressure drop were conducted over a wide range of wire mesh parameters and intake gas velocities. An empirical correlation was developed from these experimental results and further data from the literature. This correlation enables prediction of the pressure drop with a mean deviation of ±20 %.

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Literature Review on Correlations of the Non-Darcy Coefficient

Cited by 49 publications

References 0 publications

Numerical Simulation of Two-Phase Inertial Flow in Heterogeneous Porous Media

Numerical Simulation of Two-Phase Inertial Flow in Heterogeneous Porous Media

Effect of pore and confining pressure on the supercritical CO₂ permeability of sandstone: Implications for the effective pressure law

A Unified Approach for the Prediction of Dry Pressure Drop in Knitted‐Wire Mesh Demisters

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Literature Review on Correlations of the Non-Darcy Coefficient

Cited by 49 publications

References 0 publications

Numerical Simulation of Two-Phase Inertial Flow in Heterogeneous Porous Media

Numerical Simulation of Two-Phase Inertial Flow in Heterogeneous Porous Media

Effect of pore and confining pressure on the supercritical CO2 permeability of sandstone: Implications for the effective pressure law

A Unified Approach for the Prediction of Dry Pressure Drop in Knitted‐Wire Mesh Demisters

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Product

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Effect of pore and confining pressure on the supercritical CO₂ permeability of sandstone: Implications for the effective pressure law