In this paper, a fractal model for capillary flow through single tortuous with roughened surfaces in fibrous porous media is derived. The determined imbibition height and mass of rise are satisfying agreement the existing models reported literature. It found that decreases increasing relative roughness. Besides, it observed equilibrium time an increase addition, seen increases time. With proposed model, physical mechanisms better elucidated. One advantage our analytical contains no empirical...

Seepage processes in tree-fractal networks have attracted extensive research, but the results of most these studies presuppose a constant pore cross section. This research investigates fluid flow fractal tree-like branching network composed five different types circular section pipes and establishes effective permeability network. Furthermore, is compared with that typical parallel channel network, effect structural parameters on seepage process systematically investigated. The all pipelines...

Summary Predicting perforation erosion and its effects on fracture dimensions, fluid distribution, pressure drop can be an essential part of successful design hydraulic-fracturing treatments, especially for massive treatments along the horizontal wells when limited-entry techniques are implemented. Both diameter D discharge coefficient Cd increase dynamically as proppant-laden slurries pumped through perforations, making it necessary to consider changes these two variables in terms time...

Summary Perforation pressure drop and its decrease caused by perforation erosion during a hydraulic-fracturing treatment are critical factors that need to be considered in design, particularly when the limited-entry technique is implemented along multiple clusters ensure more-uniform fluid distribution. The simultaneous increases discharge coefficient Cd diameter D require consideration of temporal changes these two variables characterize perforation-erosion behavior. In this paper, we...

A novel analytical model is derived based on fractal geometry theory to characterize the permeability of power-law fluids through fractured porous media with asperities surfaces. The proposed expressed as a function structure parameters media, dimensions for matrix and fracture well index [Formula: see text] fluid behavior. influences these are analyzed in detail. It found that relationship between roughness exhibits nonlinear characteristics. higher behavior significantly affects reduction...

Tree bifurcation network has always been a hot issue concerning scientists all over the world. However, research on heat conduction properties of damaged tree-like networks is insufficient, and many issues remain unsolved. Therefore, this paper systematically studies phenomenon new with fractal roughened surfaces (FRS), derives equivalent thermal conductivity network. According to study, dimensionless (DTC) shows downward trend an increase in roughness. In addition, it can be seen that...

Heat transport in tree-like bifurcation networks has been widely studied various fields. In this work, we investigate heat conduction the dual porous media embedded with asymmetric networks. addition, considering effects of nonuniform tube shape, assume that bifurcated shows sinusoidal fluctuations. Based on fractal distribution pore size and structure, established a dimensionless effective thermal conductivity (ETC) model media. The ETC ([Formula: see text] obtained is related to porosity...

Capillary flow has garnered significant attention due to its unique dynamic characteristics that require no external force. Creating a quantitative analytical model evaluate capillary behaviors in root-like networks is essential for enhancing fluid control properties functional textiles. In this study, we explore the dynamics within under influence of gravity and derive most rapid via structural optimization. The time dominated by pressure, viscous pressure loss, gravity, each which exhibits...

The seepage of porous media has garnered significant interest due to its ubiquitous presence in nature, but most the research is based on model a single dendritic branching network. In this study, we derive fractal dimensionless permeability and Kozeny–Carman (KC) constant consisting spherical particles randomly distributed tree-like networks theory. addition, three different types corrugated pipes are considered. Then, relationships between KC constant, permeability, other structural...

In this work, considering the effect of porosity, pore size, saturation water and tortuosity fractal dimension, an analytical model for capillary pressure relative permeability is derived in unsaturated porous rocks. Besides, formulas calculating are given by taking into account distribution size capillaries. It can be seen that phase decreases with increase found as dimension decreases. further increases decrease at low sharply porosity. it observed This predicted rocks based on proposed...

In this paper, fluid transport through fibrous porous media is studied by the fractal theory with a focus on effect of surface roughness capillaries. A model for Kozeny–Carman (KC) constant and dimensionless permeability roughened surfaces derived. The determined KC are in good agreement available experimental data existing models reported literature. It found that increases increase relative roughness, porosity, area dimension pore tortuosity dimension, respectively. Besides, it seen...

The investigation of fluids transport through porous gas diffusion layer (GDL) is very important to improve the performance proton exchange membrane fuel cell (PEMFC). In this paper, fractal analytical models capillary pressure for water phase and relative permeabilities fibrous GDL are obtained. determined based on present in good agreement with available experimental data existing reported literature. Thus validity proposed verified. It found that increases increase fiber volume fraction...

In this paper, the Fractal-Monte Carlo has been employed to simulate effective thermal conductivity of porous media with roughened surfaces. The proposed probability model for surfaces can be expressed as a function relative roughness, porosity, minimum and maximum diameter pores, fractal dimensions, random number. is validated by satisfying agreement our simulations experimental data. model, there no extra empirical constant each parameter clear physical meaning. Then, effects...

In this paper, the Kozeny–Carman constant of fibrous porous media is simulated by Fractal-Monte Carlo technique. The proposed probability model obtained based on fractal distribution pore size in media, and thus can be expressed as a function structural parameters including porosity, micro-pore size, fiber diameter, tortuosity dimension area pores. Our results demonstrate that increases with diameter. also illustrate satisfying agreement Fractal Monte-Carlo simulations existing experimental...

We propose a boundary-element-based method for crack problems in multilayered elastic medium that consists of set individually homogeneous strata. The divides the along slit-like surface so effects elements placed one become distinguishable from those other surface. As result, direct cannot be directly applied turns out to applicable. After that, we derive recursive formula obtains “stiffness matrix” each layer by exploiting chain-like structure system, enabling sequential computation solve...

Spontaneous imbibition has attracted considerable attention due to its extensive existence in nature. In this study, we theoretically explored the spontaneous dynamics a damaged V-shaped tree-like branching network by comparing with parallel net fixed constraints. Additionally, capacity is characterized two dimensionless quantities: potential and time. The fractal theory then used generate analytical expressions of these quantities. After that, influence structural parameters on process...

Electrical conductivity is an important physical property of porous media, and has great significance to rock physics reservoir engineering. In this work, a model including pore water surface derived for water-saturated tree-like branching network. addition, combined with Archie’s law, general analytical formula the formation factor presented. Through numerical simulation above, we discuss impact some structural parameters ([Formula: see text], [Formula: text] in network on resistance,...

Oxygen diffusion in porous media (ODPM) with rough surfaces (RS) under dry and wet conditions is of great interest. In this work, a novel fractal model for the oxygen effective diffusivity RS proposed. The proposed expressed terms relative roughness, water saturation, dimension tortuosity tortuous capillaries, pores, porosity. It observed that normalized decreases increasing roughness capillary tortuosity. found increases porosity pore area. Besides, it seen condition saturation. determined...

The study characterizes power-law fluid through charged fibrous porous media with spatial fractional-derivative and fractal geometry. Seepage flow of across in the presence electric double layers (EDLs) is investigated based on capillary bundle model. acquired velocity distribution equation a narrow then transformed into form series appropriate Taylor approximation. After that, an analytical formula for dimensionless permeability derived generalized Darcy’s law. effects diverse parameters,...

Although the hydraulic features of tree-like branching network have been widely investigated, seepage characteristics networks not studied sufficiently. In this study, porous media embedded with a effects roughness are based on fractal theory. Then, Kozeny–Carman (KC) constant composite is derived. The KC roughened surfaces in good agreement experimental data literature. structural parameters also discussed. Notably, results show that increases an increasing volume porosity, and decreases...

The effective thermal conductivity of unsaturated porous media is interest in a number applications heat transfer. In this paper, novel fractal solution for derived based on the distribution surface roughness and pore size with roughened surfaces. proposed model explicitly relates to microstructural parameters (relative roughness, porosity dimensions). verified by satisfying agreement predicted our that reported as existing experimental data literature. A parametric study also elaborated...

The effective thermal conductivity (ETC) of roughened porous media (RPM) is interest in a number applications heat transfer. In this work, fractal analytical model for the ETC RPM with microscale effect proposed. proposed expressed terms relative roughness, molecular mean free path, porosity, dimensions (pore area dimension and tortuosity dimension), maximum pore diameter, capillary straight length, solid matrix gas. It observed that dimensionless decreases increasing dimension. Besides, it...