Semi-analytical Approach to Modeling Forchheimer Flow in Porous Media at Meso- and Macroscales

Zolotukhin, A.B.; Gayubov, Abdumalik

doi:10.1007/s11242-020-01528-4

Cited by 12 publications

(7 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…At a high Reynolds number, the inertial forces grow more prominent, and the relationship between pressure gradient and seepage velocity becomes non-linear. When those forces are of higher order than viscous forces, non-Darcy flow can be described with the empirical Forchheimer equation [27]:…”

Section: Porous Media Modelmentioning

confidence: 99%

CFD Modelling of Pressure Drop in Double-Pipe Heat Exchanger with Turbulators Using a Porous Media Model

Gendera¹,

Ludwig²

2023

IJHT

View full text Add to dashboard Cite

A major limitation of Computational Fluid Dynamics application in modelling devices with complex configuration is generating a numerical mesh that can accurately recreate the fluid domain without exceeding available computational power. To simplify the geometry of the impossible to simulate traditionally Pall rings and brush turbulators, the porous media model was implemented. In this research, we simulated the pressure drop in the double-pipe heat exchanger filled with eleven turbulators of different kinds (including: Pall rings, spiral packing, stamped sheet, brush, spring, and twisted tape). The viscous and inertial coefficients of the porous media were calculated for each turbulator and implemented in the calculations. The results were compared with the collected experimental data, which demonstrated the satisfactory accuracy of this approach. It is concluded that the porous media model performs especially well for the brush and spiral packing turbulators.

show abstract

Section: Porous Media Modelmentioning

confidence: 99%

CFD Modelling of Pressure Drop in Double-Pipe Heat Exchanger with Turbulators Using a Porous Media Model

Gendera¹,

Ludwig²

2023

IJHT

View full text Add to dashboard Cite

show abstract

“…We can use Darcy's law to define the seepage process. In the numerical simulation, a coupled model of Darcy's law and solid mechanics is chosen for the simulation analysis [28,29]. Through field analysis and construction scheme design, the simulation object is determined to be the process of coal seam grouting reinforcement.…”

Section: Set Boundary Conditionsmentioning

confidence: 99%

“…We can use Darcy's law to define the seepage process. In the numerical simulation, a coupled model of Darcy's law and solid mechanics is chosen for the simulation analysis [28,29]. use Darcy's law to define the seepage process.…”

Section: Set Boundary Conditionsmentioning

confidence: 99%

See 1 more Smart Citation

Study on the Parameters of Strengthening Soft Surrounding Rock by Electric Pulse Grouting in the Mining Face

Qiao

Zhang

et al. 2023

Sustainability

View full text Add to dashboard Cite

As an effective measure for the rapid fracturing of coal and rock, electric pulse fracture technology has been successfully applied in oil extraction and natural gas discharge. Using the electric pulse fracture mechanism, this technology can be applied to grouting reinforcement to improve the infiltration efficiency of grouting. In this study, we used a numerical simulation method to establish numerical models with different electric pulse peak pressures, different grouting times and different drilling spacing conditions Through numerical simulation studies, we found that the influence range of grouting reinforcement grows with the increased maximum pressure generated by the electrical pulse. The most economical and reasonable electric pulse parameter setting is 5 MPa for static grouting pressure and 100 MPa for peak electric pulse pressure. The best grouting time to keep pressure in the borehole is determined as 9 h, and the best borehole interval is 10 m. In addition, through the treatment of the soft roof of the Caojiashan coal mine, we also found that the reinforcement sample within the grouting reinforcement range had a compressive strength of more than 1.1 MPa; after each grouting reinforcement was completed, the hydraulic bracket could advance 12 m each time, which shows that the electric pulse grouting reinforcement technology has an obvious effect on the treatment of soft roof slab.

show abstract

“…= 1 + 0.63 ln (1∕ ) For coal: geometry and fluid properties; the determination method of which is poorly studied. Many previous studies have focused on non-Darcy coefficient determination, which was discussed in detail in our previous work (Zolotukhin and Gayubov 2021).…”

Section: Zheng Et Al (2013)mentioning

confidence: 99%

Analysis of nonlinear effects in fluid flows through porous media

Zolotukhin

Gayubov

2022

J Petrol Explor Prod Technol

Self Cite

View full text Add to dashboard Cite

This article examines the nonlinear effects of fluid flow in a porous medium, governed by a new semi-analytical equation, from three aspects: equation derivation, experimental verification, and macroscale simulation modelling. The rigorous derivation of the new equation is presented with a semi-analytical approach in which the gas slippage effect and inertial forces are described. The latter effect is controlled by Fochheimer number, which is defined as a product of tortuosity and Reynolds number. The new equation successfully predicts the deviations from Darcy’s law in low-permeability media when the gas slippage effect occurs. The Klinkenberg gas slippage factor is obtained as a function of porous media’s structural parameter (porosity and intrinsic permeability) and gas property (mean free path of gas molecules). The equation validations are performed by core flow experiments for a wide range of reservoir properties, which yield good matching relationship between modelled and observed values. In addition, the proposed semi-analytical equation is used to simulate gas flow in the radial model.

show abstract

Semi-analytical Approach to Modeling Forchheimer Flow in Porous Media at Meso- and Macroscales

Cited by 12 publications

References 44 publications

CFD Modelling of Pressure Drop in Double-Pipe Heat Exchanger with Turbulators Using a Porous Media Model

CFD Modelling of Pressure Drop in Double-Pipe Heat Exchanger with Turbulators Using a Porous Media Model

Study on the Parameters of Strengthening Soft Surrounding Rock by Electric Pulse Grouting in the Mining Face

Analysis of nonlinear effects in fluid flows through porous media

Contact Info

Product

Resources

About