New Correlative Models to Improve Prediction of Fracture Permeability and Inertial Resistance Coefficient

Foroughi, Sajjad; Jamshidi, Saeid; Pishvaie, Mahmoud Reza

doi:10.1007/s11242-017-0930-0

Cited by 21 publications

(12 citation statements)

References 75 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Moreover, one can notice that Eqs. (32) can also be obtained when the velocity terms in Eqs (15) of De Rosis 44 are neglected. Indeed, we remark the concept stated by De Rosis et al 56 , where it has been demonstrated that the adoption of the Hermite polynomials of the maximum admissible order (n=4 in the D2Q9 space according to Malaspinas 81 ) leads to Galilean-invariant (or, in other words, velocity-independent) equilibrium and forcing central moments.…”

Section: Theory and Methodologymentioning

confidence: 99%

“…Basically, fluid dynamics can involve the motion of distributions/populations of fabricated particles which can stream and colloid along a Cartesian lattice. LBM has been employed in a broad range of engineering applications such as single-phase flow [5][6][7] , multiphase flow [8][9][10][11] , phase-change heat transfer 10,12 , turbulent regime in various transport phenomena [13][14][15][16][17] , and solving nonlinear partial differential equations (NPDEs) including convection-diffusion equations [18][19][20][21][22][23][24] . The kinetic basis of LBM makes it a powerful tool in the modeling of interfacial phenomena in the multiphase flow systems [25][26][27] .…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Central-Moments-Based Lattice Boltzmann for Associating Fluids: A New Integrated Approach

2020

View full text Add to dashboard Cite

Dynamic and thermodynamic behavior of associating fluids play a crucial role in a variety of engineering and science disciplines. Cubic plus association equation of state (CPA EOS) is implemented in a central-moments-based lattice Boltzmann method (LBM) in order to mimic the thermodynamic behavior of associating fluids. The pseudopotential approach is selected to model the multiphase thermodynamic characteristics such as reduced density of associating fluids. The priority of central moments-based approach over multiple-relaxation-time collision operator is shown by performing double shear layers. The integration of central-moments-based LBM and CPA EOS is useful to simulate associating fluids at high flow rate conditions, which is extended to high-density ratio scenarios by increasing the anisotropy order of gradient operator. In order to increase the stability of the model, a higher anisotropy order of the gradient operator is implemented; about 34 present reduction in spurious velocities is noticed in some cases. The type of gradient operator considerably affects the model thermodynamic consistency. Finally, the model is validated by observing a straight line in the Laplace law test. Prediction of thermodynamic behaviours of associating fluids is of significance in biological processes as well as fluid flow in porous media.

show abstract

Section: Theory and Methodologymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Central-Moments-Based Lattice Boltzmann for Associating Fluids: A New Integrated Approach

2020

View full text Add to dashboard Cite

show abstract

“…They derived semi-empirical functions that describe the deviations from the cubic law in terms of the mean and standard deviation of the aperture field. Increasing computational power led to numerical improvements, with 3D Lattice Boltzmann (Jin et al, 2017;Foroughi et al, 2018) or Navier-Stokes (Mourzenko et al, 1995;Brush and Thomson, 2003) simulations revealing the non-uniqueness of previous functional approximations of fracture permeability. Factors such as shear displacement (Kluge et al, 2017), tortuosity, and the degree of mismatch between the opposing fracture surfaces (Mourzenko et al, 2018) were demonstrated to affect fluid flow paths and permeabilities.…”

Section: Introductionmentioning

confidence: 99%

The hydraulic efficiency of single fractures: Correcting the cubic law parameterization for self-affine surface roughness and fracture closure

Kottwitz¹,

Popov²,

Baumann³

et al. 2020

Preprint

View full text Add to dashboard Cite

Abstract. Quantifying the hydraulic properties of single fractures is a fundamental requirement to understand fluid flow in fractured reservoirs. For an ideal planar fracture, the effective flow is proportional to the cube of the fracture aperture. Yet, real fractures are rarely planar, and correcting the cubic law in terms of fracture roughness has therefore been a subject of numerous studies in the past. Several empirical relationships between hydraulic and mechanical aperture have been proposed, based upon statistical variations of the aperture field. However, often they exhibit non-unique solutions, attributed to the geometrical variety of naturally occurring fractures. In this study, a non-dimensional fracture roughness quantification-scheme is acquired, opposing effective surface area against relative fracture closure. This is used to capture deviations from the cubic law as a function of quantified fracture roughness, here termed hydraulic efficiencies. For that, we combine existing methods to generate synthetic 3D fracture voxel models. Each fracture consists of two random self-affine surfaces with prescribed roughness amplitude, scaling exponent, and correlation length, which are separated by varying distances to form fracture configurations that are broadly spread in the newly formed two-parameter space. First, we performed a percolation analysis on 600'000 synthetic fractures to narrow down the parameter space on which to conduct fluid flow simulations. This revealed that the fractional amount of contact and the percolation probability solely depends on the relative fracture closure. Next, Stokes flow calculations are performed, using a 3D finite differences code on 6400 fracture models to compute directional permeabilities. The deviations from the cubic law prediction and their statistical variability for equal roughness configurations were quantified. The resulting 2D solution fields reveal decreasing cubic-law accordance's down to 1 % for extreme roughness configurations. We show that the non-uniqueness of the results significantly reduces if the correlation length of the aperture field is much smaller than the spatial extent of the fracture. Under this assumption, an equation was provided that predicts hydraulic efficiencies and respective fracture permeabilities with a mean error of 26.7 %. Numerical inaccuracies were quantified with a resolution test, adding another error of 7 % on top of the previous one. By this, we propose a revised parameterization for the permeability of rough single fractures, which takes numerical inaccuracies of the flow calculations into account. We show that this approach is more accurate, compared to existing formulations. It can be employed to estimate the permeability of fractures if a measure of fracture roughness is available, and it can readily be incorporated in discrete fracture network modeling approaches.

show abstract

“…LB modelling also easily deals with complex boundaries by voxelizing them to discrete boundary nodes aligned with the lattice . Regarding the collision term, most of the LB models have employed the Bhatnagar‐Gross‐Krook (BGK) model, commonly known as the single relaxation time (SRT) model due to its simplicity and reliability . The successful application of LB modelling in the simulation of various condensation problems has proven that it is a practical approach in this study …”

Section: Introductionmentioning

confidence: 99%

“…[17] Regarding the collision term, most of the LB models have employed the Bhatnagar-Gross-Krook (BGK) model, commonly known as the single relaxation time (SRT) model due to its simplicity and reliability. [18][19][20][21] The successful application of LB modelling in the simulation of various condensation problems has proven that it is a practical approach in this study. [22][23][24][25][26] Since LB modelling is based on mesoscopic kinetic equations, it could be applied to study multi-component and multi-phase flow problems.…”

Section: Introductionmentioning

confidence: 99%

Investigation of gas condensate drop‐out effect on gas relative permeability by Lattice Boltzmann modelling

2019

View full text Add to dashboard Cite

In a gas condensate reservoir, a drastic pressure drop in the vicinity of the wellbore makes it subject to gas condensate drop‐out. This phenomenon can adversely affect the productivity of the well and reduce gas recovery. The objective of this paper is to conduct a two‐phase fluid flow simulation on two‐dimensional porous media to understand the effect of the gas condensate drop‐out on the gas relative permeability values. In order to do so, lattice Boltzmann (LB) modelling was applied as a computational fluid dynamics (CFD) approach to perform the simulations in homogeneous and heterogeneous porous structures. The developed model was constrained by periodic boundary conditions at inlet and outlet and bounce‐back boundary condition at fluid‐solid interfaces. It was shown that the model can appropriately monitor formation and movement of the condensate droplets as a result of the pressure drop as well as blockages due to the entrance of the droplets into the throats. A consistent decrease in gas relative permeability values with condensate saturation was observed. It was also indicated that the condensate droplets become mobile at higher critical saturations in the heterogeneous system due to the dominance of capillary forces over viscous forces in the less permeable areas. Such dominance results in more severe blockages in the heterogeneous systems, as the simulation results confirmed.

show abstract

New Correlative Models to Improve Prediction of Fracture Permeability and Inertial Resistance Coefficient

Cited by 21 publications

References 75 publications

Central-Moments-Based Lattice Boltzmann for Associating Fluids: A New Integrated Approach

Central-Moments-Based Lattice Boltzmann for Associating Fluids: A New Integrated Approach

The hydraulic efficiency of single fractures: Correcting the cubic law parameterization for self-affine surface roughness and fracture closure

Investigation of gas condensate drop‐out effect on gas relative permeability by Lattice Boltzmann modelling

Contact Info

Product

Resources

About