Multiscale Transport In Porous Media And Patterned Surfaces
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Multiscale Transport In Porous Media And Patterned Surfaces
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Author : Bowen Ling
language : en
Publisher:
Release Date : 2016
Multiscale Transport In Porous Media And Patterned Surfaces written by Bowen Ling and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
The aim of this dissertation is to establish a framework to describe multi-scale transport through porous media. Transport of mass and momentum in porous media can be studied at two different scales: the macro-scale (averaged-, continuum- or Darcy-scale) and the micro-scale (pore-scale). Particularly challenging from the modeling perspective are coupled systems (e.g. channel-matrix systems) and/or inherently unstable phenomena (e.g. multiphase transport). The former require multiscale approaches since the quantities of interest on one scale (e.g. macro-scale) may depend on the properties or physics at another scale (e.g. micro-scale). The latter challenge the very basic concept of system reproducibility as well as the perturbative approaches on which upscaling methods are generally based upon. The first part of this dissertation focuses on multi-scale mass transport in a two-dimensional channel embedded between two porous surfaces. By means of perturbation theory and asymptotic analysis, we first derive the set of upscaled equations describing mass transport in the coupled channel-matrix system and an analytical expression relating the macro-scale dispersion coefficient with the surface properties, namely porosity and permeability. Our analysis shows that their impact on dispersion coefficient strongly depends on the magnitude of Peclet number, i.e., on the interplay between diffusive and advective mass transport. Our analysis shows the possibility of controlling the dispersion coefficient, i.e. transversal mixing, by either active (i.e. changing the operating conditions) or passive mechanisms (i.e. controlling matrix effective properties) for a given Peclet number. Then, we compare the upscaled model against experiments conducted on microchannels with surfaces patterned with different topologies. The experimental data are in agreement with the developed theory and quantitatively confirm the impact of the matrix geometry on tranverse dispersion at different Peclet numbers. The second part of this dissertation focuses on experimentally quantifying and improving the reproducibility of pore-scale multiphase flow experiments. The unstable nature of multiphase flows in porous media questions the basic concepts of both reproducibility and experimental benchmarking for numerical codes' validation and calibration. Subpore-scale heterogeneity and temporal fluctuations of experimental equipment can strongly control two-phase flow displacement data. We experimentally demonstrate that the introduction of spatial heterogeneity in pore-scale microfluidic models improves the reproducibility of multiphase flow experiments, and variability in fluid displacement between different realizations of the same experimental pore structure can be numerically captured by stochastic numerical simulations. The latter appears to be a more appropriate framework to describe unstable pore-scale displacement in multiphase transport.
Multiscale Methods For Flow And Transport In Porous Media
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Author : Ettore Vidotto
language : en
Publisher:
Release Date : 2019
Multiscale Methods For Flow And Transport In Porous Media written by Ettore Vidotto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Multiscale Modeling And Simulation Of Transport Processes In Porous Media
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Author : Carina Bringedal
language : en
Publisher:
Release Date : 2022
Multiscale Modeling And Simulation Of Transport Processes In Porous Media written by Carina Bringedal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
Multiscale Methods For Flow And Transport In Heterogeneous Porous Media
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Author : Ruben Juanes
language : en
Publisher:
Release Date : 2008
Multiscale Methods For Flow And Transport In Heterogeneous Porous Media written by Ruben Juanes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Multiscale Analysis Of Transport In Porous Media
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Author : Khac Long Nguyen
language : en
Publisher:
Release Date : 2019
Multiscale Analysis Of Transport In Porous Media written by Khac Long Nguyen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
The correlation of the structural parameters with the transfer properties of a fluid through a porous media is a significant subject in physics, chemistry, geology, and engineering. The architectural parameters such as porosity and pore size distribution do not describe the complexity of most porous organizations consisting of labyrinths of interconnected pores with random shapes and cross-sections. This complexity is described by a parameter called tortuosity. The apparent total and particle tortuosities are determined by electrical measurements or the analysis of the peak shape of chromatographic probes. In the latter case, the particle tortuosity of silica is calculated from effective intraparticle diffusion coefficient determined by modelling the chromatographic peak broadening of polystyrenes obtained either in dynamic or in static conditions under non-adsorbing conditions by using the solvent tetrahydrofuran (THF). In dynamic conditions, the constant term in the van Deemter equation is a combined contribution of eddy diffusion and polydispersity of the polystyrenes and depends on the size of the molecule. The broad pore size distribution of totally porous silica contributes also to the spreading of the peak. The transport of polystyrenes through silica columns has also been studied in adsorbing conditions by changing the solvent. With the mixture of n-Heptane and THF, one obtains many peaks for a polystyrene sample due to the polydispersity of the polystyrene. In fact, the adsorption increases with the molecular weight of the polystyrenes. The surface diffusion of polystyrene decreases with an increase in the retention factor.
Multiscale Direct Numerical Modeling Of Pore Scale And Darcy Scale Multiphase Flow In Porous Media
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Author : Soheil Esmaeilzadeh
language : en
Publisher:
Release Date : 2021
Multiscale Direct Numerical Modeling Of Pore Scale And Darcy Scale Multiphase Flow In Porous Media written by Soheil Esmaeilzadeh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
Improving our understanding about the evolution of multiphase flow in porous media is crucial for many applications such as extraction of hydrocarbons and geothermal energy from subsurface reservoirs, ground-water remediation, CO2 capture and storage, and transport of contaminants in aquifers and soil. Although such applications have implications at very large length scales, e.g., in the orders of kilometers, they strongly depend on the complex physics and dynamics that mainly occur at the pore-scale. Studying multiphase flow at the pore-scale using direct numerical modeling requires developing accurate numerical frameworks that not only honor conservation laws of mass, momentum, and energy, but also can precisely represent and track fluid-fluid interfaces in space and time in the presence of complex embedded solid geometries. In this dissertation, we consider incompressible and immiscible two-phase flows under isothermal conditions and in electrokinetic equilibrium. We solve for the conservation of mass and momentum, and using an immersed boundary approach account for the presence of embedded solid boundaries. We use a two-phase flow modeling approach based on the level-set method to capture the interfacial dynamics of the flow. Using our numerical framework, we first validate recent experimental works on phase separation in the form of pinch-off at the pore-scale, then we extend such experimental observations to a wide range of wettability conditions. For the phase separation in the form of pinch-off, we provide a quantitative study of the emerging length and time scales and their dependence on the wettability conditions, capillary effects, and viscous forces. Afterward, we present a subgrid thin-film model in order to resolve the interfacial dynamics of thin-films on curved solid surfaces in porous media. We couple a Navier-Stokes solver with a topology-preserving level-set method and a sub-grid thin-film model in order to simulate immiscible two-phase pore-scale flows in the presence of thin-films on curved solid surfaces. We validate our proposed subgrid thin-film model for the cases of static and dynamic fluid-fluid interfaces in capillary tubes (both drainage and imbibition) in the presence of curved solid surfaces. We compare the thin-film profile obtained by the subgrid thin-film model versus the profile numerically resolved by refined computational grid cells spanning the subgrid resolution of the thin-film and achieve a great agreement. Subsequently, we consider granular porous media with homogeneous and heterogeneous wettability conditions. We investigate the influence of capillary and viscous forces as well as wettability conditions on the interfacial dynamics, displacement efficiency, phase trapping phenomenon, and interfacial instabilities. For the heterogeneous wettability conditions, we consider granular media with mixed-wet conditions as well as fractional (patterned) wettability conditions. Finally, at the end of this dissertation, we present a physics-constrained super-resolution framework that can super-resolve numerical simulation data in both space and time. We test the robustness of our proposed super-resolution framework for super-resolving simulation data obtained for a turbulent flow case of Rayleigh-Bénard convection problem as well as a case of two-phase flow interfacial dynamics in porous media for a subsurface reservoir.
Special Issue On Multiscale Methods For Flow And Transport In Heterogeneous Porous Media
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Author : Ruben Juanes
language : en
Publisher:
Release Date : 2008
Special Issue On Multiscale Methods For Flow And Transport In Heterogeneous Porous Media written by Ruben Juanes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Multi Scale Methods For The Numerical Simulation Of Flow And Reactive Transport In Porous Media
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Author : Manuela Bastidas Olivares (Doctor of Sciences: Mathematics)
language : en
Publisher:
Release Date : 2021
Multi Scale Methods For The Numerical Simulation Of Flow And Reactive Transport In Porous Media written by Manuela Bastidas Olivares (Doctor of Sciences: Mathematics) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
The Handbook Of Groundwater Engineering
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Author : John H. Cushman
language : en
Publisher: CRC Press
Release Date : 2016-11-25
The Handbook Of Groundwater Engineering written by John H. Cushman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-25 with Science categories.
This new edition adds several new chapters and is thoroughly updated to include data on new topics such as hydraulic fracturing, CO2 sequestration, sustainable groundwater management, and more. Providing a complete treatment of the theory and practice of groundwater engineering, this new handbook also presents a current and detailed review of how to model the flow of water and the transport of contaminants both in the unsaturated and saturated zones, covers the protection of groundwater, and the remediation of contaminated groundwater.
On Some Problems In The Simulation Of Flow And Transport Through Porous Media
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Author : Sunil George Thomas
language : en
Publisher:
Release Date : 2009
On Some Problems In The Simulation Of Flow And Transport Through Porous Media written by Sunil George Thomas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
The dynamic solution of multiphase flow through porous media is of special interest to several fields of science and engineering, such as petroleum, geology and geophysics, bio-medical, civil and environmental, chemical engineering and many other disciplines. A natural application is the modeling of the flow of two immiscible fluids (phases) in a reservoir. Others, that are broadly based and considered in this work include the hydrodynamic dispersion (as in reactive transport) of a solute or tracer chemical through a fluid phase. Reservoir properties like permeability and porosity greatly influence the flow of these phases. Often, these vary across several orders of magnitude and can be discontinuous functions. Furthermore, they are generally not known to a desired level of accuracy or detail and special inverse problems need to be solved in order to obtain their estimates. Based on the physics dominating a given sub-region of the porous medium, numerical solutions to such flow problems may require different discretization schemes or different governing equations in adjacent regions. The need to couple solutions to such schemes gives rise to challenging domain decomposition problems. Finally, on an application level, present day environment concerns have resulted in a widespread increase in CO2 capture and storage experiments across the globe. This presents a huge modeling challenge for the future. This research work is divided into sections that aim to study various inter-connected problems that are of significance in sub-surface porous media applications. The first section studies an application of mortar (as well as nonmortar, i.e., enhanced velocity) mixed finite element methods (MMFEM and EV-MFEM) to problems in porous media flow. The mortar spaces are first used to develop a multiscale approach for parabolic problems in porous media applications. The implementation of the mortar mixed method is presented for two-phase immiscible flow and some a priori error estimates are then derived for the case of slightly compressible single-phase Darcy flow. Following this, the problem of modeling flow coupled to reactive transport is studied. Applications of such problems include modeling bio-remediation of oil spills and other subsurface hazardous wastes, angiogenesis in the transition of tumors from a dormant to a malignant state, contaminant transport in groundwater flow and acid injection around well bores to increase the permeability of the surrounding rock. Several numerical results are presented that demonstrate the efficiency of the method when compared to traditional approaches. The section following this examines (non-mortar) enhanced velocity finite element methods for solving multiphase flow coupled to species transport on non-matching multiblock grids. The results from this section indicate that this is the recommended method of choice for such problems. Next, a mortar finite element method is formulated and implemented that extends the scope of the classical mortar mixed finite element method developed by Arbogast et al (12) for elliptic problems and Girault et al (62) for coupling different numerical discretization schemes. Some significant areas of application include the coupling of pore-scale network models with the classical continuum models for steady single-phase Darcy flow as well as the coupling of different numerical methods such as discontinuous Galerkin and mixed finite element methods in different sub-domains for the case of single phase flow (21, 109). These hold promise for applications where a high level of detail and accuracy is desired in one part of the domain (often associated with very small length scales as in pore-scale network models) and a much lower level of detail at other parts of the domain (at much larger length scales). Examples include modeling of the flow around well bores or through faulted reservoirs. The next section presents a parallel stochastic approximation method (68, 76) applied to inverse modeling and gives several promising results that address the problem of uncertainty associated with the parameters governing multiphase flow partial differential equations. For example, medium properties such as absolute permeability and porosity greatly influence the flow behavior, but are rarely known to even a reasonable level of accuracy and are very often upscaled to large areas or volumes based on seismic measurements at discrete points. The results in this section show that by using a few measurements of the primary unknowns in multiphase flow such as fluid pressures and concentrations as well as well-log data, one can define an objective function of the medium properties to be determined, which is then minimized to determine the properties using (as in this case) a stochastic analog of Newton's method. The last section is devoted to a significant and current application area. It presents a parallel and efficient iteratively coupled implicit pressure, explicit concentration formulation (IMPEC) (52-54) for non-isothermal compositional flow problems. The goal is to perform predictive modeling simulations for CO2 sequestration experiments. While the sections presented in this work cover a broad range of topics they are actually tied to each other and serve to achieve the unifying, ultimate goal of developing a complete and robust reservoir simulator. The major results of this work, particularly in the application of MMFEM and EV-MFEM to multiphysics couplings of multiphase flow and transport as well as in the modeling of EOS non-isothermal compositional flow applied to CO2 sequestration, suggest that multiblock/multimodel methods applied in a robust parallel computational framework is invaluable when attempting to solve problems as described in Chapter 7. As an example, one may consider a closed loop control system for managing oil production or CO2 sequestration experiments in huge formations (the "instrumented oil field"). Most of the computationally costly activity occurs around a few wells. Thus one has to be able to seamlessly connect the above components while running many forward simulations on parallel clusters in a multiblock and multimodel setting where most domains employ an isothermal single-phase flow model except a few around well bores that employ, say, a non-isothermal compositional model. Simultaneously, cheap and efficient stochastic methods as in Chapter 8, may be used to generate history matches of well and/or sensor-measured solution data, to arrive at better estimates of the medium properties on the fly. This is obviously beyond the scope of the current work but represents the over-arching goal of this research.