Modelling of two-phase flow in capillary porous medium by a microscopic discrete approach

Hoang, Ha Nguyen; Hoxha, Dashnor; Belayachi, Naïma; Do, Duc-Phi

doi:10.1080/19648189.2013.786244

Cited by 7 publications

(4 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Flow through pressurized porous media has been studied experimentally and numerically by (Ingham and 119 Pop 2005;Sheikh and Pak 2015;and Zhu et al 2016). The study of fluid flow in porous media is performed by a network of capillary pipes with a microscopic approach by (Hoang et al 2013). (Hsu and Chen 2010) proposes a multiscale flow and transport model in three-122 dimensional fractal random fields for use in porous media.…”

Section: K = 65mentioning

confidence: 99%

Investigation on the Drag Coefficient of the Steady and Unsteady Flow Conditions in Coarse Porous Media

Norouzi

Bazargan

Azhang

et al. 2021

Preprint

View full text Add to dashboard Cite

The study of the steady and unsteady flow through porous media and the interactions between fluids and particles is of utmost importance. In the present study, binomial and trinomial equations to calculate the changes in hydraulic gradient (i) in terms of flow velocity (V) were studied in the steady and unsteady flow conditions, respectively. According to previous studies, the calculation of drag coefficient (Cd) and consequently, drag force (Fd) is a function of coefficient of friction (f). Using Darcy-Weisbach equations in pipes, the hydraulic gradient equations in terms of flow velocity in the steady and unsteady flow conditions, and the analytical equations proposed by Ahmed and Sunada in calculation of the coefficients a and b of the binomial equation and the friction coefficient (f) equation in terms of the Reynolds number (Re) in the porous media, equations were presented for calculation of the friction coefficient in terms of the Reynolds number in the steady and unsteady flow conditions in 1D (one-dimensional) confined porous media. Comparison of experimental results with the results of the proposed equation in estimation of the drag coefficient in the present study confirmed the high accuracy and efficiency of the equations. The mean relative error (MRE) between the computational (using the proposed equations in the present study) and observational (direct use of experimental data) friction coefficient for small, medium and large grading in the steady flow conditions was equal to 1.913, 3.614 and 3.322%, respectively. In the unsteady flow condition, the corresponding values of 7.806, 14.106 and 10.506 % were obtained, respectively.

show abstract

Section: K = 65mentioning

confidence: 99%

Investigation on the Drag Coefficient of the Steady and Unsteady Flow Conditions in Coarse Porous Media

Norouzi

Bazargan

Azhang

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…e work is limited in the case of single phase flow. For some approaches on multiphase flow, the interested reader could consult [25,26]. e structure of this paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

Effective Elastic and Hydraulic Properties of Fractured Rock Masses with High Contrast of Permeability: Numerical Calculation by an Embedded Fracture Continuum Approach

Dang

Hoxha

2019

Advances in Civil Engineering

Self Cite

View full text Add to dashboard Cite

In this work, the hydromechanical modeling of the fractured rock masses was conducted based on a new numerical simulation method named as embedded fracture continuum (EFC) approach. As the principal advantage, this approach allows to simplify the meshing procedure by using the simple Cartesian meshes to model the fractures that can be explicitly introduced in the porous medium based on the notion of fracture cells. These last elements represent the grid cells intersected by at least one fracture in the medium. Each fracture cell in the EFC approach present a continuum porous medium whose hydromechanical properties are calculated from ones of the matrix and ones of the intersected fractures, thanks for using the well-known solution of the joint model. The determination of the hydromechanical properties of the fracture cells as presented in this work allows to provide the theoretical base and to complete some simple approximations introduced in the literature. Through different verification tests, the capability of the developed EFC approach to model the hydromechanical behavior of fractured rock was highlighted. An analysis of different parameters notably the influence of the fracture cell size on the precision of the proposed approach was also conducted. This novel approach was then applied to investigate the effective permeability and elastic compliance tensor of a fractured rock masses taken from a real field, the Sellafield site. The comparison of the results calculated from this approach with ones conducted in the literature based on the distinct element code (UDEC) presents a good agreement. However, unlike the previous studies using UDEC, which limits only in the case of fractured rock masses without dead-end fractures, our approach allows accounting for this kind of fractures in the medium. The numerical simulations show that the dead-end fractures could have a considerable contribution on the effective compliance moduli, while their effect can be neglected to calculate the overall permeability of the of fractured rock masses.

show abstract

“…Damage and deterioration of historical masonry buildings are complex phenomena whose understanding is yet nowadays a field of intensive various mechanisms such as salt enhanced weathering due to salt crystallization in pores [1], atmosphere pollution, stone wetting and drying [2]. Severe frost or heating are evoked to be of major impact on ageing and deteriorating of stone buildings [3].…”

Section: Introduction mentioning

confidence: 99%

Damage of Historical Stone Masonry Buildings: Combined Effects of Spatial Variability of Stone Properties and Environmental Conditions

Belayachi¹,

Hoxha²

2016

JCEA

View full text Add to dashboard Cite

The everyday fluctuations of temperature and humidity lead to fluctuation of stress on the stones constituting many constructions and produce in long term some kinds of fatigue damage. This paper investigates the combined role of stone properties variability and environmental conditions on the generation and the amplification of stress variation and fatigue. Thus, the randomness and spatial variability of the mechanical, thermal and hydraulic properties are taken into account in a finite elements model of typical stone wall masonry of Chambord Castle. The quantification of the impact of this spatial variability on the variability of generated stress is performed.

show abstract

Modelling of two-phase flow in capillary porous medium by a microscopic discrete approach

Cited by 7 publications

References 10 publications

Investigation on the Drag Coefficient of the Steady and Unsteady Flow Conditions in Coarse Porous Media

Investigation on the Drag Coefficient of the Steady and Unsteady Flow Conditions in Coarse Porous Media

Effective Elastic and Hydraulic Properties of Fractured Rock Masses with High Contrast of Permeability: Numerical Calculation by an Embedded Fracture Continuum Approach

Damage of Historical Stone Masonry Buildings: Combined Effects of Spatial Variability of Stone Properties and Environmental Conditions

Contact Info

Product

Resources

About