Academic literature on the topic 'Immiscible multiphase flows in heterogeneous porous media'

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Journal articles on the topic "Immiscible multiphase flows in heterogeneous porous media"

1

Dashtbesh, Narges, Guillaume Enchéry, and Benoît Noetinger. "A dynamic coarsening approach to immiscible multiphase flows in heterogeneous porous media." Journal of Petroleum Science and Engineering 201 (June 2021): 108396. http://dx.doi.org/10.1016/j.petrol.2021.108396.

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2

Cancès, Clément, Thomas O. Gallouët, and Léonard Monsaingeon. "Incompressible immiscible multiphase flows in porous media: a variational approach." Analysis & PDE 10, no. 8 (2017): 1845–76. http://dx.doi.org/10.2140/apde.2017.10.1845.

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Chaouche, M., N. Rakotomalala, D. Salin, and Y. C. Yortsos. "Capillary Effects in Immiscible Flows in Heterogeneous Porous Media." Europhysics Letters (EPL) 21, no. 1 (1993): 19–24. http://dx.doi.org/10.1209/0295-5075/21/1/004.

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4

Ghommem, Mehdi, Eduardo Gildin, and Mohammadreza Ghasemi. "Complexity Reduction of Multiphase Flows in Heterogeneous Porous Media." SPE Journal 21, no. 01 (2016): 144–51. http://dx.doi.org/10.2118/167295-pa.

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Summary In this paper, we apply mode decomposition and interpolatory projection methods to speed up simulations of two-phase flows in heterogeneous porous media. We propose intrusive and nonintrusive model-reduction approaches that enable a significant reduction in the size of the subsurface flow problem while capturing the behavior of the fully resolved solutions. In one approach, we use the dynamic mode decomposition. This approach does not require any modification of the reservoir simulation code but rather post-processes a set of global snapshots to identify the dynamically relevant struct
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5

Sandrakov, G. V. "HOMOGENIZED MODELS FOR MULTIPHASE DIFFUSION IN POROUS MEDIA." Journal of Numerical and Applied Mathematics, no. 3 (132) (2019): 43–59. http://dx.doi.org/10.17721/2706-9699.2019.3.05.

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Non-stationary processes of mutual diffusion for multiphase flows of immiscible liquids in porous media with a periodic structure are considered. The mathematical model for such processes is initial-boundary diffusion problem for media formed by a large number of «blocks» having low permeability and separated by a connected system of «cracks» with high permeability. Taking into account such a structure of porous media during modeling leads to the dependence of the equations of the problem on two small parameters of the porous medium microscale and the block permeability. Homogenized initial-bo
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6

Èiegis, R., O. Iliev, V. Starikovièius, and K. Steiner. "NUMERICAL ALGORITHMS FOR SOLVING PROBLEMS OF MULTIPHASE FLOWS IN POROUS MEDIA." Mathematical Modelling and Analysis 11, no. 2 (2006): 133–48. http://dx.doi.org/10.3846/13926292.2006.9637308.

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In this paper we discuss numerical algorithms for solving the system of nonlinear PDEs, arising in modelling of two‐phase flows in porous media, as well as the proper object oriented implementation of these algorithms. Global pressure model for isothermal two‐phase immiscible flow in porous media is considered in this paper. Finite‐volume method is used for the space discretization of the system of PDEs. Different time stepping discretizations and linearization approaches are discussed. The main concepts of the PDE software tool MfsolverC++ are given. Numerical results for one realistic proble
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7

Parmigiani, A., C. Huber, O. Bachmann, and B. Chopard. "Pore-scale mass and reactant transport in multiphase porous media flows." Journal of Fluid Mechanics 686 (September 30, 2011): 40–76. http://dx.doi.org/10.1017/jfm.2011.268.

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AbstractReactive processes associated with multiphase flows play a significant role in mass transport in unsaturated porous media. For example, the effect of reactions on the solid matrix can affect the formation and stability of fingering instabilities associated with the invasion of a buoyant non-wetting fluid. In this study, we focus on the formation and stability of capillary channels of a buoyant non-wetting fluid (developed because of capillary instabilities) and their impact on the transport and distribution of a reactant in the porous medium. We use a combination of pore-scale numerica
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8

Doorwar, Shashvat, and Kishore K. Mohanty. "Viscous-Fingering Function for Unstable Immiscible Flows." SPE Journal 22, no. 01 (2016): 019–31. http://dx.doi.org/10.2118/173290-pa.

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Summary Displacement of viscous oils often involves unstable immiscible flow. Viscous instability and its influence on relative permeability were studied in this work at different viscosity ratios, injection rates, and domain widths. Micromodels and pore-scale models were used to visually inspect the interplay of viscous and capillary forces in the viscous-dominated regime. A new dimensionless scaling parameter, NI=(vwμwσow)(μoμw)2(D2/K), was developed that is useful in predicting the recoveries of unstable displacements at various viscosity ratios and injection rates. The scaling parameter sh
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9

Zakirov, T. R., O. S. Zhuchkova, and M. G. Khramchenkov. "Mathematical Model for Dynamic Adsorption with Immiscible Multiphase Flows in Three-dimensional Porous Media." Lobachevskii Journal of Mathematics 45, no. 2 (2024): 888–98. http://dx.doi.org/10.1134/s1995080224600134.

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10

Kozdon, J., B. Mallison, M. Gerritsen, and W. Chen. "Multidimensional Upwinding for Multiphase Transport in Porous Media." SPE Journal 16, no. 02 (2011): 263–72. http://dx.doi.org/10.2118/119190-pa.

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Summary Multidimensional transport for reservoir simulation is typically solved by applying 1D numerical methods in each spatial-coordinate direction. This approach is simple, but the disadvantage is that numerical errors become highly correlated with the underlying computational grid. In many real-field applications, this can result in strong sensitivity to grid design not only for the computed saturation/composition fields but also for critical integrated data such as breakthrough times. Therefore, to increase robustness of simulators, especially for adverse-mobility-ratio flows that arise i
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