Multi-physics modeling of flow and transport in porous media using a downscaling approach

Niessner, Jennifer; Helmig, Rainer

doi:10.1016/j.advwatres.2009.02.007

Cited by 6 publications

(2 citation statements)

References 23 publications

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“…The literature on multicomponent three‐phase modeling related to water resources is relatively limited. Niessner and Helmig [2007, 2009] propose an interesting higher‐order, multiphase, multiscale scheme. The third phase (NAPL), however, is assumed immobile and acts only as a source for mass transfer, making the dynamical problem essentially two‐phase.…”

Section: Introductionmentioning

confidence: 99%

Compositional modeling of three‐phase flow with gravity using higher‐order finite element methods

Moortgat

Sun

Firoozabadi

2011

Water Resources Research

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[1] A wide range of applications in subsurface flow involve water, a nonaqueous phase liquid (NAPL) or oil, and a gas phase, such as air or CO 2 . The numerical simulation of such processes is computationally challenging and requires accurate compositional modeling of three-phase flow in porous media. In this work, we simulate for the first time three-phase compositional flow using higher-order finite element methods. Gravity poses complications in modeling multiphase processes because it drives countercurrent flow among phases. To resolve this issue, we propose a new method for the upwinding of three-phase mobilities. Numerical examples, related to enhanced oil recovery and carbon sequestration, are presented to illustrate the capabilities of the proposed algorithm. We pay special attention to challenges associated with gravitational instabilities and take into account compressibility and various phase behavior effects, including swelling, viscosity changes, and vaporization. We find that the proposed higher-order method can capture sharp solution discontinuities, yielding accurate predictions of phase boundaries arising in computational three-phase flow. This work sets the stage for a broad extension of the higher-order methods for numerical simulation of three-phase flow for complex geometries and processes.Citation: Moortgat, J., S. Sun, and A. Firoozabadi (2011), Compositional modeling of three-phase flow with gravity using higher-order finite element methods, Water Resour. Res., 47, W05511,

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Section: Introductionmentioning

confidence: 99%

Compositional modeling of three‐phase flow with gravity using higher‐order finite element methods

Moortgat

Sun

Firoozabadi

2011

Water Resources Research

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“…The characteristic analysis is carried out for the reservoir matrix, SRV, and hydraulic fractures, respectively. The Galerkin method of weighted residuals is applied to establish the finite element integral equation, which makes continuous infinite degrees of freedom to solution unit discrete into the finite element [32][33][34]. The grid blocks on the horizontal well and fracture are made to be dense, employing a triangular frontier advancement meshing algorithm (gridblocks around the horizontal well are shown as Figures A1 and A2).…”

Section: Appendix a Numerical Solution Of Mathematical Modelmentioning

confidence: 99%

Numerical Simulation of Fluid Flow through Fractal-Based Discrete Fractured Network

Wang

et al. 2018

Energies

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Abstract:In recent years, multi-stage hydraulic fracturing technologies have greatly facilitated the development of unconventional oil and gas resources. However, a quantitative description of the "complexity" of the fracture network created by the hydraulic fracturing is confronted with many unsolved challenges. Given the multiple scales and heterogeneity of the fracture system, this study proposes a "bifurcated fractal" model to quantitatively describe the distribution of induced hydraulic fracture networks. The construction theory is employed to generate hierarchical fracture patterns as a scaled numerical model. With the implementation of discrete fractal-fracture network modeling (DFFN), fluid flow characteristics in bifurcated fractal fracture networks are characterized. The effects of bifurcated fracture length, bifurcated tendency, and number of bifurcation stages are examined. A field example of the fractured horizontal well is introduced to calibrate the accuracy of the flow model. The proposed model can provide a more realistic representation of complex fracture networks around a fractured horizontal well, and offer the way to quantify the "complexity" of the fracture network in shale reservoirs. The simulation results indicate that the geometry of the bifurcated fractal fracture network model has a significant impact on production performance in the tight reservoir, and enhancing connectivity of each bifurcate fracture is the key to improve the stimulation performance. In practice, this work provides a novel and efficient workflow for complex fracture characterization and production prediction in naturally-fractured reservoirs of multi-stage fractured horizontal wells.

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EfficientModeling of Flow and Transport in Porous Media Using Multiphysics andMultiscale Approaches

Helmig

Niessner

Flemisch

et al. 2010

Handbook of Geomathematics

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Multi-physics modeling of flow and transport in porous media using a downscaling approach

Cited by 6 publications

References 23 publications

Compositional modeling of three‐phase flow with gravity using higher‐order finite element methods

Compositional modeling of three‐phase flow with gravity using higher‐order finite element methods

Numerical Simulation of Fluid Flow through Fractal-Based Discrete Fractured Network

EfficientModeling of Flow and Transport in Porous Media Using Multiphysics andMultiscale Approaches

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