Pressure drop and fractal non-Darcy coefficient model for fluid flow through porous media

Huang, Ting; Du, Pengbin; Xin-kai, Peng; Wang, Peng; Zou, Gaofeng

doi:10.1016/j.petrol.2019.106579

Cited by 25 publications

(6 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To validate the experimental data developed in this work, the pressure drop and volume flowrate are experimentally measured for water flow, and both the Reynolds number and the total friction factor are calculated and compared with Ergun's equations (5,6). Figure 4 demonstrates the comparison of the experimental pressure drop with the average velocity, while Fig.…”

Section: A Water Flow Resultsmentioning

confidence: 99%

“…Non-Newtonian flow through porous media is critical and has numerous practical uses in processes such as enhanced oil recovery in underground reservoirs, polymer solution filters, groundwater hydrogeological, ceramic processing, and solid matrix heat exchangers. Many industrial operations, such as those in the oil and chemical industries, use non-Newtonian fluid flows with drag-reducing features through a porous medium [1][2][3][4][5].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Non- Newtonian Drag Reducing Flow Characteristics in Porous Media

Latif

marghany

Mansour

et al. 2022

Journal of Engineering Research

View full text Add to dashboard Cite

In this paper, the properties affecting the flow behavior of a non-Newtonian drag reduction fluid through porous media were studied. The experimental work was carried out for the flow of pure water and dilute polyethylene oxide solution with concentrations C = 50, 100, 150, 200, and 250 ppm in a circular pipe with a 2.54 cm inside diameter filled with porous media (uniform size of plastic spheres with 5.5 mm in diameter). The experiments are utilized to show the effect of the variation of polyethylene oxide concentration on the pressure drop and friction factor by changing the flow rate and polyethylene oxide concentrations. To validate the experimental results, a comparison of pressure drop and friction factor for pure water is done with the Ergun model, which gives good agreement. The experiments show that the friction factor and the pressure drop are reduced by the increase in POE concentration. The drag reduction ratio increases with the increase in POE concentration and its effectiveness is higher at low velocities (between 0.012 and 0.068 m/s) than at higher velocities (from 0.068 to 0.157 m/s). A modified relationship was deduced as an extension of Ergun to describe the effect of POE concentrations as a drag reducing additive in the non-Newtonian fluid flow through a porous medium.

show abstract

Section: A Water Flow Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Non- Newtonian Drag Reducing Flow Characteristics in Porous Media

Latif

marghany

Mansour

et al. 2022

Journal of Engineering Research

View full text Add to dashboard Cite

show abstract

“…Discrete the well-pore-fracture-cave structure into nodes, and apply the Forchhmer equation (Macini et al 2011;Huang et al 2020;Yuan et al 2013)…”

Section: Model Establishmentmentioning

confidence: 99%

Injection-production optimization of fault-karst reservoir—considering high-speed non-Darcy effect

Zhou

et al. 2021

J Petrol Explor Prod Technol

View full text Add to dashboard Cite

Fault-karst reservoirs are featured by complex geological characteristics, and accurate and fast simulation of such kind of reservoirs using traditional simulator and simulation methods is pretty hard. Herein, we tried to discrete the complex fault-karst structures into one-dimensional connected units connecting the well, fracture and cave based on reservoir static physical parameters and injection-production dynamics. Two characteristic parameters, conductivity and connected volume, are proposed to characterize the inter-well connectivity and material basis. Meanwhile, the high-speed non-Darcy seepage term is introduced into the material balance equations for well-fracture-cave connected units to describe the actual seepage characteristics within the fault-karst reservoirs, and to better simulate the oil/water production dynamics. Based on this method, a fracture reservoir model of 1 injection-3 production was established. The change of oil–water action law in different injection and extraction systems under two production regimes of fixed production rate and fixed pressure is analyzed. A case study was conducted on S fault zone, where the flow of oil and gas did not follow the Darcy seepage rule and with a β value of 103–104, the single well flow pressure and oil production were perfectly matched with the real data. In addition, connected units with more prominent high-speed non-Darcy features were found to have better connectivity, which might shed light on the more accurate prediction of inter-well connectivity. Moreover, an improved injection-production well pattern and was proposed based on connectivity prediction model and reservoir engineering method to solve the problems of insufficient natural energy supply and overhigh oil production rate in Block S. Furthermore, the injection/production rate as well as the timing and cycle of water injection was predicted and optimized so as to better guide to site operations.

show abstract

“…Clearly, the curvature of the fluid channels can't be ignored in the real rocks. Both tortuosity fractal dimension and maximum pore diameter have an important role in the fluid flow in porous media (Yun et al, 2009;Ye et al, 2019;Huang et al, 2020). Thus, there will be a great error in the fluid exchange term if neglecting the effects of tortuosity fractal dimension and maximum pore diameter of matrix on the shape factor.…”

Section: Model Verificationmentioning

confidence: 99%

Fractal analysis of shape factor for matrix-fracture transfer function in fractured reservoirs

Mei

Zhang

Wang

et al. 2020

Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles

View full text Add to dashboard Cite

As the core function of dual-porosity model in fluids flow simulation of fractured reservoirs, matrix-fracture transfer function is affected by several key parameters, such as shape factor. However, modeling the shape factor based on Euclidean geometry theory is hard to characterize the complexity of pore structures. Microscopic pore structures could be well characterized by fractal geometry theory. In this study, the separation variable method and Bessel function are applied to solve the single-phase fractal pressure diffusion equation, and then the obtained analytical solution is used to deduce one-dimensional, two-dimensional and three-dimensional fractal shape factors. The proposed fractal shape factor can be used to explain the influence of microstructure of matrix on the fluid exchange rate between matrix and fracture, and is verified by numerical simulation. Results of sensitivity analysis indicate that shape factor decreases with tortuosity fractal dimension and characteristic length of matrix, increases with maximum pore diameter of matrix. Furthermore, the proposed fractal shape factor is effective in the condition that tortuosity fractal dimension of matrix is roughly between 1 and 1.25. This study shows that microscopic pore structures have an important effect on fluid transfer between matrix and fracture, which further improves the study on flow characteristics in fractured systems.

show abstract

Pressure drop and fractal non-Darcy coefficient model for fluid flow through porous media

Cited by 25 publications

References 37 publications

Non- Newtonian Drag Reducing Flow Characteristics in Porous Media

Non- Newtonian Drag Reducing Flow Characteristics in Porous Media

Injection-production optimization of fault-karst reservoir—considering high-speed non-Darcy effect

Fractal analysis of shape factor for matrix-fracture transfer function in fractured reservoirs

Contact Info

Product

Resources

About