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20122024
most citedNon-local Multi-continua Upscaling for Flows in Heterogeneous Fractured Media

132 citations · 230 across the 29 of their papers we have counts for

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Showing 2018 · math.NAShow all

7 papers · 2 filters

math.NA2018★ 1 cited

Generalized Multiscale Multicontinuum Model for Fractured Vuggy Carbonate Reservoirs

Min Wang, Siu Wun Cheung, Eric T. Chung +2

Simulating flow in a highly heterogeneous reservoir with multiscale characteristics could be considerably demanding. To tackle this problem, we propose a numerical scheme coupling…

math.NA2018

A three-level multi-continua upscaling method for flow problems in fractured porous media

Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev +1

Traditional two level upscaling techniques suffer from a high offline cost when the coarse grid size is much larger than the fine grid size. Thus, multilevel methods are desirable…

math.NA2018

Constraint Energy Minimizing Generalized Multiscale Finite Element Method for dual continuum model

Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev +2

The dual continuum model serves as a powerful tool in the modeling of subsurface applications. It allows a systematic coupling of various components of the solutions. The system is…

math.NA2018★ 2 cited

Nonlocal multicontinua upscaling for multicontinua flow problems in fractured porous media

Maria Vasilyeva, Eric T. Chung, Siu Wun Cheung +2

Our goal of this paper is to develop a new upscaling method for multicontinua flow problems in fractured porous media. We consider a system of equations that describes flow phenome…

math.NA2018

Upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations using Non-Local Multi-Continuum method (NLMC)

Maria Vasilyeva, Eric T. Chung, Wing Tat Leung +2

In this paper, we present an upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations. Our methodology is based on the recently…

math.NA2018

Nonlocal multicontinuum (NLMC) upscaling of mixed dimensional coupled flow problem for embedded and discrete fracture models

Maria Vasilyeva, Eric T. Chung, Wing Tat Leung +1

In this work, we present an upscaled model for mixed dimensional coupled flow problem in fractured porous media. We consider both embedded and discrete fracture models (EFM and DFM…

math.NA2018★ 55 cited

Constrained energy minimization based upscaling for coupled flow and mechanics

Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev +1

In this paper, our aim is to present (1) an embedded fracture model (EFM) for coupled flow and mechanics problem based on the dual continuum approach on the fine grid and (2) an up…