Capillary effects in drainage in heterogeneous porous media: continuum modelling, experiments and pore network simulations

Chaouche, M.; Rakotomalala, N.; Salin, D.; Xu, Baomin; Yortsos, Y.C.

doi:10.1016/0009-2509(94)e0040-w

Cited by 56 publications

(34 citation statements)

References 11 publications

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“…Most analytical studies of capillary heterogeneity are limited to 1D or 2D analyses (e.g. Chen 1988; Yortsos and Chang 1990; Chang and Yortsos 1992; Chaouche et al 1994; Van Duijn et al 1995; Hussain et al 2011). The major conclusion from the 1D studies is that capillary heterogeneity leads to variable saturation distributions.…”

Section: Introductionmentioning

confidence: 99%

Numerical and analytical study of effects of small scale heterogeneity on CO2/brine multiphase flow system in horizontal corefloods

Kuo

Benson

2015

Advances in Water Resources

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Section: Introductionmentioning

confidence: 99%

Numerical and analytical study of effects of small scale heterogeneity on CO2/brine multiphase flow system in horizontal corefloods

Kuo

Benson

2015

Advances in Water Resources

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“…Of great importance is to extend the ADM formulation and methodology to include strongly non-linear capillary effects (Chaouche et al, 1994;Helmig et al, 2007;Li, 2014) which impose significant challenges to simulators.…”

Section: Introductionmentioning

confidence: 99%

Algebraic Dynamic Multilevel (ADM) Method for Immiscible Multiphase Flow in Heterogeneous Porous Media with Capillarity

Cusini¹,

Kruijsdijk²,

Hajibeygi³

2016

Proceedings

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SUMMARYAn algebraic dynamic multilevel method (ADM) is developed for fully-implicit (FIM) simulations of multiphase flow in heterogeneous porous media with strong non-linear physics. The fine-scale resolution is defined based on the heterogeneous geological one. Then, ADM constructs a space-time adaptive FIM system on a dynamically defined multilevel nested grid. The multilevel resolution is defined using an error estimate criterion, aiming to minimize the accuracy-cost trade-off. ADM is algebraically described by employing sequences of adaptive multilevel restriction and prolongation operators. Finite-volume conservative restriction operators are considered whereas different choices for prolongation operators are employed for different unknowns. The ADM method is applied to challenging heterogeneous test cases with strong nonlinear heterogeneous capillary effects. It is illustrated that ADM provides accurate solution by employing only a fraction of the total number of fine-scale grid cells. ADM is an important advancement for multiscale methods because it solves for all coupled unknowns (here, both pressure and saturation) simultaneously on arbitrary adaptive multilevel grids. At the same time, it is a significant step forward in the application of dynamic local grid refinement techniques to heterogeneous formations without relying on upscaled coarse-scale quantities.

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“…Continuum models, based on a continuous characteristic function, attaining the value 0 at an empty point and 1 at a solid point, has proven to be more adequate to study the flux of fluids through the medium [9][10][11][12][13]. On the other hand, discrete models, representing the porous space by a network of voids (sites) connected by throats (bonds), have demonstrated to be a powerful tool to study the percolation properties of the medium and those phenomena depending on its topological properties [3,5,6,8,[14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Determination of pore size distributions using the Dual Site-Bond Model: experimental evidence

López

Vidales

Zgrablich

et al. 2002

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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In previous papers, we have described a suitable method to obtain pore size distributions for voids and necks using the Dual Site-Bond Model (DSBM) and Monte Carlo simulations. This method basically consists in the determination of the corresponding size distributions by using adsorption-desorption hysteresis data. Void size frequency functions are featured from the ascending curve. From the descending curve, we obtain a characteristic pressure value that will give us, via a quasi-universal curve, information about the neck size distribution function. In this work, we use our method to predict, using experimental hysteresis loops, the size distributions of several mesoporous samples. Once these functions are determined, we simulate the adsorption-desorption isotherms on a simple cubic network of voids and necks whose radii are sampled from the obtained size distributions. Comparison with experimental data is performed, drawing out fruitful conclusions and future perspectives based on the simplicity and predictive capability of the method.

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Capillary effects in drainage in heterogeneous porous media: continuum modelling, experiments and pore network simulations

Cited by 56 publications

References 11 publications

Numerical and analytical study of effects of small scale heterogeneity on CO2/brine multiphase flow system in horizontal corefloods

Numerical and analytical study of effects of small scale heterogeneity on CO2/brine multiphase flow system in horizontal corefloods

Algebraic Dynamic Multilevel (ADM) Method for Immiscible Multiphase Flow in Heterogeneous Porous Media with Capillarity

Determination of pore size distributions using the Dual Site-Bond Model: experimental evidence

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