An efficient numerical model for multicomponent compressible flow in fractured porous media

Zidane, Ali; Firoozabadi, Abbas

doi:10.1016/j.advwatres.2014.08.010

Cited by 69 publications

(36 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this work, we combine the implicit MHFE transport and pressure update and the CFE discrete fracture model with an implicit higher-order DG transport update, both in the fractures and the matrix. We demonstrate that with this approach the CFE method has low numerical dispersion and even higher computational efficiency than in Zidane and Firoozabadi (2014). A wide range of test cases demonstrate that this all-implicit method can achieve the same numerical accuracy as the IMPEC scheme, but with up to 5000 times larger time-steps.…”

Section: Introductionmentioning

confidence: 85%

“…However, in 3D the pore-volume of grid cells, particularly at the intersection of multiple fractures, becomes significantly smaller than the matrix grid cells and the CFL condition can make the scheme prohibitively expensive. Zidane and Firoozabadi (2014) mistook this as an inherent weakness of the CFE approach itself in comparing the computational efficiency of a different IMPEC-CFE implementation to an implicit FV transport update in a (D−1)-dimensional fracture grid. In this work, we combine the implicit MHFE transport and pressure update and the CFE discrete fracture model with an implicit higher-order DG transport update, both in the fractures and the matrix.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Implicit finite volume and discontinuous Galerkin methods for multicomponent flow in unstructured 3D fractured porous media

Moortgat

Amooie

Soltanian

2016

Advances in Water Resources

View full text Add to dashboard Cite

We present a new implicit higher-order finite element (FE) approach to efficiently model compressible multicomponent fluid flow on unstructured grids and in fractured porous subsurface formations. The scheme is sequential implicit: pressures and fluxes are updated with an implicit Mixed Hybrid Finite Element (MHFE) method, and the transport of each species is approximated with an implicit second-order Discontinuous Galerkin (DG) FE method. Discrete fractures are incorporated with a cross-flow equilibrium approach. This is the first investigation of all-implicit higher-order MHFE-DG for unstructured triangular, quadrilateral (2D), and hexahedral (3D) grids and discrete fractures. A lowest-order implicit finite volume (FV) transport update is also developed for the same grid types. The implicit methods are compared to an Implicit-Pressure-Explicit-Composition (IMPEC) scheme. For fractured domains, the unconditionally stable implicit transport update is shown to increase computational efficiency by orders of magnitude as compared to IMPEC, which has a time-step constraint proportional to the pore volume of discrete fracture grid cells. However, when lowest-order Euler time-discretizations are used, numerical errors increase linearly with the larger implicit time-steps, resulting in high numerical dispersion. Second-order Crank-Nicolson implicit MHFE-DG and MHFE-FV are therefore presented as well. Convergence analyses show twice the convergence rate for the DG methods as compared to FV, resulting in two to three orders of magnitude higher computational efficiency. Numerical experiments demonstrate the efficiency and robustness in modeling compressible multicomponent flow on irregular and fractured 2D and 3D grids, even in the presence of fingering instabilities.

show abstract

Section: Introductionmentioning

confidence: 85%

Section: Introductionmentioning

confidence: 99%

Implicit finite volume and discontinuous Galerkin methods for multicomponent flow in unstructured 3D fractured porous media

Moortgat

Amooie

Soltanian

2016

Advances in Water Resources

View full text Add to dashboard Cite

show abstract

“…For more details about these coefficients and the MFE formulation the reader may refer to [15,16,30,31,32,33].…”

Section: Discretization Of the Total And Phase Fluxesmentioning

confidence: 99%

“…The total flux is calculated by the hybridized mixed finite element method (MFE). The latter provides accurate calculation of the velocity field even in highly heterogeneous media when compared to the traditional finite element and finite volume methods [1,5,7,13,14,15,16,17,18,19,20]. The strength of the MFE method is from the calculation of the pressure inside a finite element and the traces of the pressures at the interfaces of each finite element in the computational domain.…”

Section: Introductionmentioning

confidence: 99%

An implicit numerical model for multicomponent compressible two-phase flow in porous media

Zidane

Firoozabadi

2015

Advances in Water Resources

Self Cite

View full text Add to dashboard Cite

“…In the past decade, there has been increasing attention on tight gas simulation by DFM (Gong B, 2011, Zidane & Firoozabadi, 2014. In general, DFM is more adaptive to various mechanisms when compared to analytical models and hence is adopted in this paper.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of a modified multiple fractured well model in tight gas reservoirs

2015

Proceedings of the 3rd International Conference on Advances in Energy and Environmental Science 2015

View full text Add to dashboard Cite

Abstract. Most fracture patterns near the well region are more fickle in tight gas field than that in literature. In this paper, a modified discrete fractured well model is presented to account for dynamic characteristics of a vertical well with multiple asymmetrical fractures (MAF). Fracture closure effect is also coupled in the revised numerical model, leading to a more rapidly loss of gas production. The productivity of a vertical well with MAF is investigated by comparing to a fractured well with one single equivalent fracture (EF). Furthermore, the effect of fracture conductivity on cumulative production is discussed. Results show that EF representation can cause up to 45.4 percent less production than MAF. Fracture conductivity is proved to be closely related to cumulative production.

show abstract

An efficient numerical model for multicomponent compressible flow in fractured porous media

Cited by 69 publications

References 50 publications

Implicit finite volume and discontinuous Galerkin methods for multicomponent flow in unstructured 3D fractured porous media

Implicit finite volume and discontinuous Galerkin methods for multicomponent flow in unstructured 3D fractured porous media

An implicit numerical model for multicomponent compressible two-phase flow in porous media

Numerical simulation of a modified multiple fractured well model in tight gas reservoirs

Contact Info

Product

Resources

About