Analysing an adaptive finite volume for flow in highly heterogeneous porous medium

Khattri, Sanjay Kumar

doi:10.1108/09615530810846365

Cited by 4 publications

(5 citation statements)

References 24 publications

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“…For the numerical methods, we use finite volume methods for the space discretization (see [14,15]), and for the time discretization, we apply first order explicit or implicit Euler methods and second order CrankNikolson (CN) methods. For accurate results, we choose the second order CN method and accept the longer computational times, which are then needed.…”

Section: Numerical Methods For the Transportreaction Equationmentioning

confidence: 99%

Multiscale Modeling of Chemical Vapor Deposition (CVD) Apparatus: Simulations and Approximations

Geiser

2013

Polymers

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Abstract:We are motivated to compute delicate chemical vapor deposition (CVD) processes. Such processes are used to deposit thin films of metallic or ceramic materials, such as SiC or a mixture of SiC and TiC. For practical simulations and for studying the characteristics in the deposition area, we have to deal with delicate multiscale models. We propose a multiscale model based on two different software packages. The large scales are simulated with computational fluid dynamics (CFD) software based on the transportreaction model (or macroscopic model), and the small scales are simulated with ordinary differential equations (ODE) software based on the reactive precursor gas model (or microscopic model). Our contribution is to upscale the correlation of the underlying microscale species to the macroscopic model and reformulate the fast reaction model. We obtain a computable model and apply a standard CFD software code without losing the information of the fast processes. For the multiscale model, we present numerical results of a real-life deposition process.

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Section: Numerical Methods For the Transportreaction Equationmentioning

confidence: 99%

Multiscale Modeling of Chemical Vapor Deposition (CVD) Apparatus: Simulations and Approximations

Geiser

2013

Polymers

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“…To solve both the Darcy–Stokes and Stokes–Brinkman models, we have used well established mixed finite element formulation although other finite‐volume type approaches can also be used . The mixed finite element method has more than one approximation space and uses both the fluxes and the pressure as primary unknowns simultaneously, whereas in finite element and finite volume methods, fluxes are computed from the discrete pressure in a post processing step.…”

Section: Mathematical Modeling Of Multiscale Vuggy Mediummentioning

confidence: 99%

A unified approach to simulation and upscaling of single‐phase flow through vuggy carbonates

Pal

2011

Numerical Methods in Fluids

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SUMMARY Numerical modeling of flow through vuggy porous media, mainly vuggy carbonates, is a challenging endeavor. Firstly, because the presence of vugs can significantly alter the effective porosity and permeability of the medium. Secondly, because of the co‐existence of porous and free flow regions within the medium and the uncertainties in defining the exact boundary between them. Traditionally, such heterogeneous systems are modeled by the coupled Darcy–Stokes equations. However, numerical modeling of flow through vuggy porous media using coupled Darcy–Stokes equations poses several numerical challenges particularly with respect to specification of correct interface condition between the porous and free‐flow regions. Hence, an alternative method, a more unified approach for modeling flows through vuggy porous media, the Stokes–Brinkman model, is proposed here. It is a single equation model with variable coefficients, which can be used for both porous and free‐flow regions. This also makes the requirement for interface condition redundant. Thus, there is an obvious benefit of using the Stokes–Brinkman equation, which can be reduced to Stokes or Darcy equation by the appropriate choice of parameters. At the same time, the Stokes–Brinkman equation provides a smooth transition between porous and free‐flow region, thereby taking care of the associated uncertainties. A numerical treatment for upscaling Stokes–Brinkman model is presented as an approach to use Stokes–Brinkman model for multi‐phase flow. Numerical upscaling methodology is validated by analyzing the error norm for numerical pressure convergence. Stokes–Brinkman single equation model is tested on a series of realistic data sets, and the results are compared with traditional coupled Darcy–Stokes model. Copyright © 2011 John Wiley & Sons, Ltd.

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“…Reservoir simulation for oil/gas recovery is essentially a complex multi-phase, multi-component flow, heat and mass transfer problem (Lewis and Schrefler, 1998). The characteristics of a multi-phase flow deviate strongly from that of a single-phase (Gorji and Ghorbani, 2008) and there are additional difficulties in modelling and numerical simulations (Khattri, 2008). Several simulation studies on heat and mass transfer in hydrate filled porous media during decomposition induced by electromagnetic heating (Islam, 1994;Nasyrov et al, 1997) and microwave radiation (Sysoev and Kislitsyn, 2011;Wang et al, 2020;Zhao et al, 2016) have been reported.…”

Section: Introductionmentioning

confidence: 99%

Implementation of a multi-layer radiation propagation model for simulation of microwave heating in hydrate reservoirs

Gupta

Yadav

Das

et al. 2021

HFF

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Purpose This paper aims to present the implementation of a multi-layer radiation propagation model in simulations of multi-phase flow and heat transfer, for a dissociating methane hydrate reservoir subjected to microwave heating. Design/methodology/approach To model the induced heterogeneity due to dissociation of hydrates in the reservoir, a multiple homogeneous layer approach, used in food processes modelling, is suggested. The multi-layer model is incorporated in an in-house, multi-phase, multi-component hydrate dissociation simulator based on the finite volume method. The modified simulator is validated with standard experimental results in the literature and subsequently applied to a hydrate reservoir to study the effect of water content and sand dielectric nature on radiation propagation and hydrate dissociation. Findings The comparison of the multi-layer model with experimental results show a maximum difference in temperature estimation to be less than 2.5 K. For reservoir scale simulations, three homogeneous layers are observed to be sufficient to model the induced heterogeneity. There is a significant contribution of dielectric properties of sediments and water content of the reservoir in microwave radiation attenuation and overall hydrate dissociation. A high saturation reservoir may not always provide high gas recovery by dissociation of hydrates in the case of microwave heating. Originality/value The multi-layer approach to model microwave radiation propagation is introduced and tested for the first time in dissociating hydrate reservoirs. The multi-layer model provides better control over reservoir heterogeneity and interface conditions compared to existing homogeneous models.

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Analysing an adaptive finite volume for flow in highly heterogeneous porous medium

Cited by 4 publications

References 24 publications

Multiscale Modeling of Chemical Vapor Deposition (CVD) Apparatus: Simulations and Approximations

Multiscale Modeling of Chemical Vapor Deposition (CVD) Apparatus: Simulations and Approximations

A unified approach to simulation and upscaling of single‐phase flow through vuggy carbonates

Implementation of a multi-layer radiation propagation model for simulation of microwave heating in hydrate reservoirs

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