Flow of non-Newtonian fluids in single fractures and fracture networks: Current status, challenges, and knowledge gaps

Lavrov, Alexandre

doi:10.1016/j.enggeo.2023.107166

Cited by 14 publications

(3 citation statements)

References 91 publications

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“…4. At present, the simulation study mainly assumes that the fluid is Newtonian fluid in a laminar flow regime, and the nonlinear seepage characteristics of fluid in a turbulent flow regime or non-Newtonian fluid in fracture can be further studied in the future (Lavrov, 2023;Zhang et al, 2024a).…”

Section: Limitations and Extensionsmentioning

confidence: 99%

A Novel Model of Hydraulic Aperture for Rough Single Fracture: Insights From Fluid Inertial and Fracture Geometry Effects

Zhang,

Liu,

Wang

et al. 2024

JGR Solid Earth

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Previous studies pointed out that the hydraulic aperture (bh) is solely dependent on the geometric features of a fracture, independent of fluid inertia effects. Here we present an inertial hydraulic aperture (bih) that considers the fluid inertial effect and fracture geometry effect by massive direct numerical simulations of fluid flow in real and artificial 3‐D fractures. Simulation results indicate that with an increase in Reynolds number (Re), the evolution eddy volume ratio exhibits three distinct stages: stable stage (Re < 1), fluctuating stage (1 ≤ Re ≤ 10), and increasing to stable stage (Re > 10). These stages correspond to the transition of flow regimes from the viscous Darcy regime to the weak inertia regime, and further developing into the strong inertia regime. Among them, Re = 1 can be considered as the critical point for the onset of the non‐Darcy flow. Furthermore, As Re increases, the evolution of bih exhibits four stages influenced by fluid inertia effects and main flow width in the fracture: stability, slight increase, slight decrease, and rapid increase. Then, based on 892 sets of simulation results (Re ≥ 1), the expression of bih was obtained using Gene Expression Programming. Compared to the four existing empirical models of bh, the present bih exhibits the highest accuracy and the lowest errors (R2 = 0.994, MAE = 0.008, RMSE = 0.013). Finally, the proposed bih is further employed to modify the Forchheimer equation. This study enhances the understanding of hydraulic conductivity in 3‐D rough single fractures.

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Section: Limitations and Extensionsmentioning

confidence: 99%

A Novel Model of Hydraulic Aperture for Rough Single Fracture: Insights From Fluid Inertial and Fracture Geometry Effects

Zhang,

Liu,

Wang

et al. 2024

JGR Solid Earth

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“…It is very difficult to model fluids that exhibit this behavior. Their behavior is such that for a constant shear rate 𝛾̇ and at constant temperature the shear stress 𝜏 either increases or decreases monotonically with respect to time [14][15][16]. It takes some time for the fluids to regain their initial features once the shear rate goes to zero.…”

Section: V Time Dependent Behaviorsmentioning

confidence: 99%

Rheological Behavior of Fluids

2023

Proceeding Book of 3rd International Conference on Scientific and Academic Research ICSAR 2023

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Rheology is the study of the deformation and flow of matter. This field aims to understand the rheological behavior of liquids by investigating the complex interactions between deformation, force, and time. Understanding the behavior of materials especially those that resemble liquid behavior is at the core of rheology. This includes the features of materials that display both liquid and solid qualities. In rheology studies, devices called rheometers are commonly used to perform various tests. These tests provide information about the flow properties and viscoelastic behaviors of liquids. In rheological analysis first section, focusing on the flow and viscosity properties of liquids, includes tests designed to measure and understand the behavior of both simple and complex fluids. On the other hand, the second section concentrates on deformation and viscoelasticity. Rheology, employed to assess the flow and deformation behaviors of liquids across a wide range of applications, plays a critical role in optimizing the design and processing of liquid products in industries such as pharmaceuticals, cosmetics, food, and manufacturing.

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“…Zou [26] studied the propagation of non-Newtonian fluids in various homogeneous or heterogeneous fracture networks. Lavrov [27] provided a comprehensive overview of non-Newtonian flow in fractures. Shamu [28] presented an analysis of the radial velocity profile between parallel plates in the flow of non-Newtonian fluids within fractures, along with numerical solutions.…”

Section: Introductorymentioning

confidence: 99%

Infiltration Grouting Mechanism of Bingham Fluids in Porous Media with Different Particle Size Distributions

Xu,

Zhang,

Yin

et al. 2023

Applied Sciences

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Although permeation grouting technology has been widely used in engineering practice, there has not been sufficient research on how the distribution of pore sizes in porous media affects the diffusion of grout. In this study, based on the fractal theory of porous media and the Bingham fluid rheological equation, a Bingham fluid permeation grouting mechanism considering the distribution of pore sizes in porous media is proposed. The mechanism is validated through laboratory experiments and numerical simulations using COMSOL 6.0. During the experiments, parallel electrical resistance imaging is employed to monitor the diffusion range of the grout. Furthermore, the effects of grouting pressure, porosity, and water–cement ratio on the diffusion radius of the grout are analyzed. The results show that the Bingham fluid grout diffuses in a semi-spherical shape in the gravel. Additionally, parallel electrical resistance imaging can analyze the diffusion range of the grout in the gravel. The diffusion radius of the Bingham fluid grout in the gravel is smaller than the diffusion radius obtained by considering the particle size distribution theory, with an average difference of 31.8%. Compared to the diffusion radius obtained without considering the particle size distribution theory, the diffusion radius obtained by considering the distribution of pore sizes is closer to the experimental results. The numerically simulated program, which was developed for this study, can effectively simulate the diffusion law of the Bingham fluid in the gravel. So far, the Bingham fluid seepage grouting model considering the different particle size distribution of porous media has been built. The findings of this study can provide theoretical support and technical reference for practical grouting projects.

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Flow of non-Newtonian fluids in single fractures and fracture networks: Current status, challenges, and knowledge gaps

Cited by 14 publications

References 91 publications

A Novel Model of Hydraulic Aperture for Rough Single Fracture: Insights From Fluid Inertial and Fracture Geometry Effects

A Novel Model of Hydraulic Aperture for Rough Single Fracture: Insights From Fluid Inertial and Fracture Geometry Effects

Rheological Behavior of Fluids

Infiltration Grouting Mechanism of Bingham Fluids in Porous Media with Different Particle Size Distributions

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