Shear dispersion in a fracture with porous walls

Dejam, Morteza; Hassanzadeh, Hassan; Chen, Zhangxin

doi:10.1016/j.advwatres.2014.08.005

Cited by 70 publications

(27 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…While our conceptual model relies on a simplification of the actual pore space, it enables us to derive simple analytical formulations for the double‐continuum model parameters. Our approach is also consistent with previous findings showing that this simplified geometry can provide powerful guidance for the interpretation of flow and transport phenomena taking place in complex pore spaces [e.g., Davit et al ., ; Orgogozo et al ., ; Wang et al ., ; Porta et al ., ; Dejam et al ., ; Bianchi Janetti et al ., ]. We now discuss the key developments leading to the definition of our effective transport models.…”

Section: Modeling Approachmentioning

confidence: 99%

Continuum‐scale characterization of solute transport based on pore‐scale velocity distributions

Porta

Bijeljic

Blunt

et al. 2015

Geophysical Research Letters

View full text Add to dashboard Cite

We present a methodology to characterize a continuum-scale model of transport in porous media on the basis of pore-scale distributions of velocities computed in three-dimensional pore-space images. The methodology is tested against pore-scale simulations of flow and transport for a bead pack and a sandstone sample. We employ a double-continuum approach to describe transport in mobile and immobile regions. Model parameters are characterized through inputs resulting from the micron-scale reconstruction of the pore space geometry and the related velocity field. We employ the outputs of pore-scale analysis to (i) quantify the proportion of mobile and immobile fluid regions and (ii) assign the velocity distribution in an effective representation of the medium internal structure. Our results (1) show that this simple conceptual model reproduces the spatial profiles of solute concentration rendered by pore-scale simulation without resorting to model calibration and (2) highlight the critical role of pore-scale velocities in the characterization of the model parameters. PORTA ET AL.

show abstract

Section: Modeling Approachmentioning

confidence: 99%

Continuum‐scale characterization of solute transport based on pore‐scale velocity distributions

Porta

Bijeljic

Blunt

et al. 2015

Geophysical Research Letters

View full text Add to dashboard Cite

show abstract

“…[9][10][11][12][13]20,24] A detailed review of these assumptions can be found elsewhere. [12,13] By taking into consideration these assumptions and using Equation (2) and making some rearrangements, Equation (7) reduces to the following:…”

Section: Governing Equationmentioning

confidence: 99%

“…Now, we apply three significant assumptions adopted from Taylor [14] and Fischer et al [20] for determination of a dispersion coefficient during dispersive chemical species transport. These assumptions are as follows: the chemical species transport occurs under a quasisteady state condition (@C 0 D =@t D % 0), [9][10][11][12][13][14][20][21][22][23] C 0 D is a slowly varying function, [20] and the longitudinal advection is dominant compared to the longitudinal diffusion (…”

Section: Governing Equationmentioning

confidence: 99%

“…Recently, Dejam et al [9][10][11][12][13] presented analytical expressions for dispersion during transport of a chemical species in two different double-porosity systems with two-dimensional linear [9,10,13] and radial [11][12][13] geometries comprised of a channel [9,10,13] or tube [11][12][13] and a porous medium under the combined effects of pressure-driven [9][10][11][12][13] and electroosmotic [10,11,13] flows. Their developed models also provided dispersion coefficients for two-dimensional linear and radial geometrical conduits with a no-flux boundary condition at the walls.…”

Section: Introductionmentioning

confidence: 99%

“…Webster et al [15] also implemented the same methodology to address effective macroscopic transport parameters between parallel plates with constant concentration boundaries. The presented work can find applications in understanding the chemical reactive transport, [16] describing the transport in a conduit with solute stored in the porous matrix block, [9][10][11][12][13]17] and modelling of non-aqueous phase liquid (NAPL) dissolution. [18] However, the following main features make this study distinct from previous theoretical studies.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A reduced‐order model for chemical species transport in a tube with a constant wall concentration

Dejam

Chen

2017

Can J Chem Eng

Self Cite

View full text Add to dashboard Cite

A two-dimensional advection-diffusion model accompanied with a parabolic velocity profile of Poiseuille flow is considered for the chemical species transport in a tube with a constant wall concentration. The Reynolds decomposition technique is applied to reduce it to an equivalent one-dimensional model for advective-dispersive transport in a tube through which the effective advection coefficient, the dispersion coefficient, and the effective Sherwood number are developed for the problem under study. The derived and the classical Taylor models are also compared in order to find the difference between the two arrangements. The reduced-order model for the transport equation shows that the effective advection coefficient increases, whereas the dispersion coefficient in the tube decreases as compared to the classical Taylor equation. The effective Sherwood number for the steady state form of the developed model is found to be only a function of the Peclet number, which varies in the range of 3.215 Sh 4. These results find application in design of experiments and improve our understanding of mass transfer in microfluidic devices.

show abstract

Pre‐Darcy Flow in Porous Media

Dejam

Hassanzadeh

Chen

2017

Water Resources Research

Self Cite

103

View full text Add to dashboard Cite

Fluid flow in porous media is very important in a wide range of science and engineering applications. The entire establishment of fluid flow application in porous media is based on the use of an experimental law proposed by Darcy (1856). There are evidences in the literature that the flow of a fluid in consolidated and unconsolidated porous media does not follow Darcy law at very low fluxes, which is called pre‐Darcy flow. In this paper, the unsteady flow regimes of a slightly compressible fluid under the linear and radial pre‐Darcy flow conditions are modeled and the corresponding highly nonlinear diffusivity equations are solved analytically by aid of a generalized Boltzmann transformation technique. The influence of pre‐Darcy flow on the pressure diffusion for homogeneous porous media is studied in terms of the nonlinear exponent and the threshold pressure gradient. In addition, the pressure gradient, flux, and cumulative production per unit area are compared with the classical solution of the diffusivity equation based on Darcy flow. The presented results advance our understanding of fluid flow in low‐permeability media such as shale and tight formations, where pre‐Darcy is the dominant flow regime.

show abstract

Shear dispersion in a fracture with porous walls

Cited by 70 publications

References 40 publications

Continuum‐scale characterization of solute transport based on pore‐scale velocity distributions

Continuum‐scale characterization of solute transport based on pore‐scale velocity distributions

A reduced‐order model for chemical species transport in a tube with a constant wall concentration

Pre‐Darcy Flow in Porous Media

Contact Info

Product

Resources

About