A multiscale restriction-smoothed basis method for high contrast porous media represented on unstructured grids

Møyner, Olav; Lie, Knut–Andreas

doi:10.1016/j.jcp.2015.10.010

Cited by 106 publications

(74 citation statements)

References 38 publications

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“…2d. The interaction regions are constructed by the algorithm in [23], with some adaptions to account for the presence of fracture cells. Specifically, we do not allow for interaction between coarse matrix cells that are separated by a fracture cell.…”

Section: Interaction Regionsmentioning

confidence: 99%

“…Due to the emphasis on material heterogeneities, the majority of the work on multiscale methods applied to porous media problems has with a few exceptions been focused on structured grids. The framework presented in [23], on the other hand, makes few assumptions with regards to grid geometry, and uses an algebraic procedure to compute multiscale basis functions. This makes the framework in [23] well suited for general coarse grids, and we therefore use it as a basis for discretization of the coarse-scale conductive term.…”

Section: Introductionmentioning

confidence: 99%

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Heterogeneity preserving upscaling for heat transport in fractured geothermal reservoirs

et al. 2017

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In simulation of fluid injection in fractured geothermal reservoirs, the characteristics of the physical processes are severely affected by the local occurence of connected fractures. To resolve these structurally dominated processes, there is a need to develop discretization strategies that also limit computational effort. In this paper, we present an upscaling methodology for geothermal heat transport with fractures represented explicitly in the computational grid. The heat transport is modeled by an advectionconduction equation for the temperature, and solved on a highly irregular coarse grid that preserves the fracture heterogeneity. The upscaling is based on different strategies for the advective term and the conductive term. The coarse scale advective term is constructed from sums of fine scale fluxes, whereas the coarse scale conductive term is constructed based on numerically computed basis functions. The method naturally incorporates the coupling between solution variables in the matrix and in the fractures, respectively, via the discretization. In this way, explicit transfer terms that couple fracture and matrix solution variables are avoided. Numerical results show that the upscaling methodology performs well, in particular for large upscaling ratios, and that it is applicable also to highly complex fracture networks.

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Section: Interaction Regionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Heterogeneity preserving upscaling for heat transport in fractured geothermal reservoirs

et al. 2017

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“…As shown in [3,53], the MsRSB method is not very sensitive to the choice of restriction and herein we use the finite-volume operator to ensure that we can reconstruct fine-scale conservative velocities.…”

Section: Algebraic Multiscale Formulationmentioning

confidence: 99%

“…In the following sections, the MsRSB interaction regions and basis functions are briefly explained. Detailed explanations can be found in [3,53].…”

Section: Algebraic Multiscale Formulationmentioning

confidence: 99%

“…Recently, the multiscale restriction smoothed basis (MsRSB) method was devised by Møyner and Lie to overcome this complexity [3]. The MsRSB is unique in the way the basis functions are computed, yet leads to a stable and robust treatment of complex heterogeneous coe cients [53], as well as realistic flow physics for improved and enhanced oil recovery [54,55]. It is therefore favourable to use this method as a basis when seeking to extend multiscale simulation approaches for more complex fractured media.…”

Section: Introductionmentioning

confidence: 99%

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The multiscale restriction smoothed basis method for fractured porous media (F-MsRSB)

Shah

Møyner

Ţene

et al. 2016

Journal of Computational Physics

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Multiscale finite volume method with adaptive unstructured grids for flow simulation in heterogeneous fractured porous media

Mehrdoost

2021

Engineering with Computers

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A multiscale restriction-smoothed basis method for high contrast porous media represented on unstructured grids

Cited by 106 publications

References 38 publications

Heterogeneity preserving upscaling for heat transport in fractured geothermal reservoirs

Heterogeneity preserving upscaling for heat transport in fractured geothermal reservoirs

The multiscale restriction smoothed basis method for fractured porous media (F-MsRSB)

Multiscale finite volume method with adaptive unstructured grids for flow simulation in heterogeneous fractured porous media

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