Effective Behavior Near Clogging in Upscaled Equations for Non-isothermal Reactive Porous Media Flow

Bringedal, Carina; Kumar, Kundan

doi:10.1007/s11242-017-0940-y

Cited by 20 publications

(18 citation statements)

References 36 publications

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“…One of the major difficulties associated with its derivation is the fact that log-jamming is a process which intrinsically depends on pore-scale physics. Therefore, a comprehensive model would have to be derived from the analysis of the conservation equations at the pore-scale, and then upscaled in order to obtain the reaction rate as a function coupled to the pore-scale physics [17,18,19]. To derive a rigorous upscaled model for two-phase flow, including the transport of particles, is outside the scope of this work.…”

Section: Log-jamming and Particle Releasementioning

confidence: 99%

Transport of Polymer Particles in Oil–Water Flow in Porous Media: Enhancing Oil Recovery

et al. 2018

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We study a heuristic, core-scale model for the transport of polymer particles in a two phase (oil and water) porous medium. We are motivated by recent experimental observations which report increased oil recovery when polymers are injected after the initial waterflood. The recovery mechanism is believed to be microscopic diversion of the flow, where injected particles can accumulate in narrow pore throats and clog it, in a process known as a log-jamming effect. The blockage of the narrow pore channels lead to a microscopic diversion of the water flow, causing a redistribution of the local pressure, which again can lead to the mobilization of trapped oil, enhancing its recovery. Our objective herein is to develop a core-scale model that is consistent with the observed production profiles. We show that previously obtained experimental results can be qualitatively explained by a simple two-phase flow model with an additional transport equation

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Section: Log-jamming and Particle Releasementioning

confidence: 99%

Transport of Polymer Particles in Oil–Water Flow in Porous Media: Enhancing Oil Recovery

et al. 2018

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“…The continuum-scale equations are formally obtained by homogenizing pore-scale physics, and bi-directional algorithms couple the two scales [149,159]. As the multi-scale approaches can become very computationally intensive, some strategies simplify the pore-scale mathematical problem using, for example, a unique circular grain that dissolve uniformly [26]. More sophisticated multi-scale approaches solve the complex hydro-geochemical feedback at the pore-scale using the techniques described in Section 3.2 for moving the fluid-rock interface during the dissolution [123].…”

Section: Micro-continuum With Darcy-brinkman-stokesmentioning

confidence: 99%

Pore-Scale Imaging and Modelling of Reactive Flow in Evolving Porous Media: Tracking the Dynamics of the Fluid–Rock Interface

Noiriel

Soulaine

2021

Transp Porous Med

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Fluid-mineral and fluid-rock interfaces are key parameters controlling the reactivity and fate of fluids in reservoir rocks and aquifers. The interface dynamics through space and time results from complex processes involving a tight coupling between chemical reactions and transport of species as well as a strong dependence on the physical, chemical, mineralogical and structural properties of the reacting solid phases. In this article, we review the recent advances in pore-scale imaging and reactive flow modelling applied to interface dynamics. Digital rocks derived from time-lapse X-ray micro-tomography imaging gives unprecedented opportunity to track the interface evolution during reactive flow experiments in porous or fractured media, and evaluate locally mineral reactivity. The recent improvements in porescale reactive transport modelling allow for a fine description of flow and transport that integrates moving fluid-mineral interfaces inherent to chemical reactions. Combined with three-dimensional digital images, pore-scale reactive transport modelling complements and augments laboratory experiments. The most advanced multi-scale models integrate sub-voxel porosity and processes which relate to imaging instrument resolution and improve upscaling possibilities. Two example applications based on the solver porousMedia4Foam illustrate the dynamics of the interface for different transport regimes (i.e., diffusive-to advective-dominant) and rock matrix properties (i.e., permeable versus impermeable, and homogeneous versus polymineralic). These parameters affect both the interface roughness and its geometry evolution, from sharp front to smeared (i.e., diffuse) interface. The paper concludes by discussing the challenges associated with precipitation processes in porous media, rock texture and composition (i.e., physical and mineralogical heterogeneity), and upscaling to larger scales.

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“…Since the overall model comprises several levels of couplings (cf. Figure 2a), thus far, mainly restrictive geometrical settings, for example, radially symmetric situations, have been investigated numerically (Bringedal & Kumar, 2017; Schulz et al, 2017; van Noorden, 2009a). This has led to a greatly simplified set of equations: Instead of the level‐set equation, an ordinary differential equation is solved and coupled to the partial differential equations for transport.…”

Section: Introductionmentioning

confidence: 99%

Efficiency and Accuracy of Micro‐Macro Models for Mineral Dissolution

Gärttner

Frolkovič

Knabner

et al. 2020

Water Resources Research

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Micro‐macro models for dissolution processes are derived from detailed pore‐scale models applying upscaling techniques. They consist of flow and transport equations at the scale of the porous medium (macroscale). Both include averaged time‐ and space‐dependent coefficient functions (permeability, porosity, reactive surface, and effective diffusion). These are in turn explicitly computed from the time‐ and space‐dependent geometry of unit cells and by means of auxiliary cell problems defined therein (microscale). The explicit geometric structure is characterized by a level set. For its evolution, information from the transport equations solutions is taken into account (micro‐macro scales). A numerical scheme is introduced, which is capable of evaluating such complex settings. For the level‐set equation a second‐order scheme is applied, which enables us to accurately determine the dynamic reactive surface. Local mesh refinement methods are applied to evaluate Stokes type cell problems using P2/P1 elements and a Uzawa type linear solver. Applications of our permeability solver to scenarios involving static and evolving geometries are presented. Furthermore, macroscopic flow and transport equations are solved applying mixed finite elements. Finally, adaptive strategies to overcome the computational burden are discussed. We apply our approach to the dissolution of an array of dolomite grains in the micro‐macro context and validate our numerical scheme.

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Effective Behavior Near Clogging in Upscaled Equations for Non-isothermal Reactive Porous Media Flow

Cited by 20 publications

References 36 publications

Transport of Polymer Particles in Oil–Water Flow in Porous Media: Enhancing Oil Recovery

Transport of Polymer Particles in Oil–Water Flow in Porous Media: Enhancing Oil Recovery

Pore-Scale Imaging and Modelling of Reactive Flow in Evolving Porous Media: Tracking the Dynamics of the Fluid–Rock Interface

Efficiency and Accuracy of Micro‐Macro Models for Mineral Dissolution

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