Дисертації з теми "Multiphase flow in porous media environment"
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Jacobs, Bruce Lee. "Effective properties of multiphase flow in heterogeneous porous media." Thesis, Massachusetts Institute of Technology, 1998. http://hdl.handle.net/1721.1/9697.
Includes bibliographical references (leaves 218-224).
The impact of heterogeneity on multiphase fl.ow is explored using a spectral perturbation technique employing a stationary, stochastic representation of the spatial variability of soil properties. A derivation of the system's effective properties - nonwetting phase moisture content, capillary pressure, normalized saturation and permeability - was developed which is not specific as to the form of the permeability dependence on saturation or capillary pressure. This lack of specificity enables evaluation and comparison of effective properties with differing characterization forms. Conventional characterization techniques are employed to parameterize the saturation, capillary pressure, relative permeability relationships and applied to the Cape Cod and Borden aquifers. An approximate solution for the characteristic width of a dense nonaqueous phase liquid (DNAPL) plume or air sparging contributing area is derived to evaluate the sensitivity of system behavior to properties of input processes. Anisotropy is predicted for uniform, vertical flow in the Borden Aquifer consistent with both prior experimental observations and Monte Carlo simulations. Increases of the mean capillary pressure (increasing nonwetting phase saturation) is accompanied by reductions in nonwetting phase anisotropy. Similar levels of anisotropy are not found in the case of the Cape Cod aquifer; the difference is attributed largely to the mean value of the log of the characteristic pressure which is shown to control the rate of return to asymptotic permeability and hence system uniformity. A positive relation between anisotropy and interfacial tension was observed, consistent with prior numerical simulations. Positive dependence of lateral spreading on input fl.ow rate is predicted for Cape Cod Aquifer with reverse response at Borden Aquifer due to capillary pressure dependent anisotropy of Borden Aquifer. The effective permeability for horizontal fl.ow with core scale heterogeneity was found to be velocity dependent with features qualitatively similar to experimental observations and numerical experiments. Application of Leverett scaling as generally implemented in Monte Carlo simulations under represents aquifer hetero geneity and for the Borden Aquifer, van Genuchten characterization reduces system anisotropy by several orders of magnitude. Anisotropy of the effective properties proved to be less sensitive to Leverett scaling if the Brooks-Corey characterization was used due to insensitivity in this case to the variance of the slope parameter.
by Bruce L. Jacobs.
Ph.D.
Fu, Xiaojing Ph D. Massachusetts Institute of Technology. "Multiphase flow in porous media with phase transitions : from CO₂ sequestration to gas hydrate systems." Thesis, Massachusetts Institute of Technology, 2017. http://hdl.handle.net/1721.1/111445.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 159-175).
Ongoing efforts to mitigate climate change include the understanding of natural and engineered processes that can impact the global carbon budget and the fate of greenhouse gases (GHG). Among engineered systems, one promising tool to reduce atmospheric emissions of anthropogenic carbon dioxide (CO₂) is geologic sequestration of CO₂ , which entails the injection of CO₂ into deep geologic formations, like saline aquifers, for long-term storage. Among natural contributors, methane hydrates, an ice-like substance commonly found in seafloor sediments and permafrost, hold large amounts of the world's mobile carbon and are subject to an increased risk of dissociation due to rising temperatures. The dissociation of methane hydrates releases methane gas-a more potent GHG than CO₂-and potentially contributes to a positive feedback in terms of climatic change. In this Thesis, we explore fundamental mechanisms controlling the physics of geologic CO₂ sequestration and natural gas hydrate systems, with an emphasis on the interplay between multiphase flow-the simultaneous motion of several fluid phases and phase transitions-the creation or destruction of fluid or solid phases due to thermodynamically driven reactions. We first study the fate of CO₂ in saline aquifers in the presence of CO₂ -brine-carbonate geochemical reactions. We use high-resolution simulations to examine the interplay between the density-driven convective mixing and the rock dissolution reactions. We find that dissolution of carbonate rock initiates in regions of locally high mixing, but that the geochemical reaction shuts down significantly earlier than shutdown of convective mixing. This early shutdown reflects the important role that chemical speciation plays in this hydrodynamics-reaction coupled process. We then study hydrodynamic and thermodynamic processes pertaining to a gas hydrate system under changing temperature and pressure conditions. The framework for our analysis is that of phase-field modeling of binary mixtures far from equilibrium, and show that: (1) the interplay between phase separation and hydrodynamic instability can arrest the Ostwald ripening process characteristic of nonflowing mixtures; (2) partial miscibility exerts a powerful control on the degree of viscous fingering in a gas-liquid system, whereby fluid dissolution hinders fingering while fluid exsolution enhances fingering. We employ this theoretical phase-field modeling approach to explain observations of bubble expansion coupled with gas dissolution and hydrate formation in controlled laboratory experiments. Unraveling this coupling informs our understanding of the fate of hydrate-crusted methane bubbles in the ocean water column and the migration of gas pockets in hydrate-bearing sediments.
by Xiaojing Fu.
Ph. D.
Zhao, Benzhong. "Multiphase flow in porous media: the impact of capillarity and wettability from field-scale to pore-scale." Thesis, Massachusetts Institute of Technology, 2017. http://hdl.handle.net/1721.1/109644.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 95-104).
Multiphase flow in the context of this Thesis refers to the simultaneous flow of immiscible fluids. It differs significantly from single-phase flow due to the existence of fluid-fluid interfaces, which are subject to capillary forces. Multiphase flow in porous media is important in many natural and industrial processes, including geologic carbon dioxide (CO₂) sequestration, enhanced oil recovery, and water infiltration into soil. Despite its importance, much of our current description of multiphase flow in porous media is based on semi-empirical extensions of single-phase flow theories, which miss key physical mechanisms that are unique to multiphase systems. One challenging aspect of solving this problem is visualization-flow typically occurs inside opaque media and hence eludes direct observation. Another challenging aspect of multiphase flow in porous media is that it encompasses a wide spectrum of length scales-while capillary force is active at the pore-scale (on the order of microns), it can have a significant impact at the field-scale (on the order of kilometers). In this Thesis, we employ novel laboratory experiments and mathematical modeling to study multiphase flow in porous media across scales. The field-scale portion of this Thesis focuses on gravity-driven flows in the subsurface, with an emphasis on application to geological CO₂ storage. We find that capillary forces can slow and stop the migration of a CO₂ plume. The meso-scale portion of this Thesis demonstrates the powerful control of wettability on multiphase flow in porous media, which is manifested in the markedly different invasion protocols that emerge when one fluid displaces another in a patterned microfluidic cell. The pore-scale portion of this Thesis focuses on the impact of wettability on fluid-fluid displacement inside a capillary tube. We show that the contact line movement is strongly affected by wettability, even in regimes where viscous forces dominate capillary forces.
by Benzhong Zhao.
Ph. D.
Little, Sylvia Bandy. "Multiphase flow through porous media." Thesis, Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/11779.
Ha, Quoc Dat. "Modélisation multiéchelle du couplage adsorption-transport-mécanique dans les réservoirs de gaz de charbon : récupération assistée par injection de CO₂." Electronic Thesis or Diss., Université de Lorraine, 2022. http://www.theses.fr/2022LORR0194.
Coal seam gas is an energy resource whose exploitation can be enhanced by injectingcarbon dioxide (CO₂), thus combining the production of methane (CH₄) and the storage of carbon dioxide produced by its combustion. The structure of the reservoir is considered to be a double-porosity medium with natural fractures (cleats) and a matrix containing a solid phase and nanopores (less than 2 nm in size) where the gas is stored by adsorption on the solid wall. CO₂ is more easily adsorbed than CH₄. A multiscale theoretical model combining adsorption, transport and reservoir poro-mechanics is developed. At the smallest scale, the gas molecules are considered as hard spheres interacting through a Lennard-Jones potential. A new numerical method uses Density Functional Theory (DFT) and Fundamental Measure Theory (FMT) to calculate the distribution of molecular densities of a mixture of gases for any nanopore geometry. The solid wall exerts an external potential that is repulsive at very short distances and attractive at longer distances on the gas molecules. From the molecular distributions of the gases, the solvation force exerted by the fluid phase on the surface of the nanopores is precisely calculated. The asymptotic homogenization method is performed to upscale the nanopore-scale model and to obtain the response of the coal matrix at the microscale. The Biot poroelastic model is modified by the solvation force, which acts as the main factor governing matrix swelling or contraction. The average mass conservation equations for the two gases (CH₄ and CO₂) in the matrix take into account adsorption phenomena characterized by partition coefficients and an effective Knudsen-type diffusion. A second homogenization aims at obtaining the macroscopic law at the reservoir scaleby combining the cleats network and the solid matrix. The joint stiffness at the matrix-cleats interface is characterized by the hyperbolic Barton-Bandis law, which modifies the effective stiffness and the permeability of the reservoir. After homogenization, the reservoir is a heterogeneous and anisotropic medium due to the structure of the cleats and the spatial variation of the fluid pressure. A macroscopic average equation for gas diffusion in the matrix and gas-water transport in the cleats is developed by considering the mass exchange between the matrix and the cleats governed by the Warren and Root approximation. Numerical simulations illustrate the crucial correlation between gas pressure distributions, cleat opening and reservoir stiffness. CO₂ injection significantly improves CH₄ production and enables a underground storage of CO₂, which contributes to reducing green-house gas emissions
Sheng, Jopan. "Multiphase immiscible flow through porous media." Diss., Virginia Polytechnic Institute and State University, 1986. http://hdl.handle.net/10919/53630.
Ph. D.
Suo, Si. "Modelling Multiphase Flow in Heterogeneous Porous Media." Thesis, The University of Sydney, 2021. https://hdl.handle.net/2123/27362.
Snyder, Kevin P. "Multiphase flow and mass transport through porous media." Thesis, Virginia Tech, 1993. http://hdl.handle.net/10919/40658.
Amooie, Mohammad Amin. "Fluid Mixing in Multiphase and Hydrodynamically Unstable Porous-Media Flows." The Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1532012791497784.
Reichenberger, Volker. "Numerical simulation of multiphase flow in fractured porous media." [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=970266049.
Kéchavarzi, Cédric. "Physical modelling of immiscible multiphase flow in porous media." Thesis, University of Cambridge, 2001. https://www.repository.cam.ac.uk/handle/1810/251766.
Malcolm, Lorna Taryn. "Multiphase flow in porous media at low interfacial tension." Thesis, University of Oxford, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.362036.
Nitsche, Ludwig C. (Ludwig Carlos). "Multiphase flow through spatially periodic models of porous media." Thesis, Massachusetts Institute of Technology, 1989. http://hdl.handle.net/1721.1/111043.
Gunstensen, Andrew K. (Andrew Knut). "Lattice-Boltzmann studies of multiphase flow through porous media." Thesis, Massachusetts Institute of Technology, 1992. http://hdl.handle.net/1721.1/13168.
Includes bibliographical references (p. 115-122).
by Andrew K. Gunstensen.
Ph.D.
Zhang, Jiazuo. "Self-potential during multiphase flow in complex porous media." Thesis, Imperial College London, 2017. http://hdl.handle.net/10044/1/48479.
Xue, Song. "Towards improved methods for determining porous media multiphase flow functions." Texas A&M University, 2004. http://hdl.handle.net/1969.1/434.
Li, Xi-Kui. "Multiphase flow in deforming porous media : a finite element approach." Thesis, Swansea University, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.542610.
Yamabe, Hirotatsu. "Multiphase fluid flow in porous media and its effect on seismic velocity." 京都大学 (Kyoto University), 2015. http://hdl.handle.net/2433/199262.
Bajaj, Reena. "An unstructured finite volume simulator for multiphase flow through fractured-porous media." Thesis, Massachusetts Institute of Technology, 2009. http://hdl.handle.net/1721.1/54839.
This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 77-78).
Modeling of multiphase flow in fractured media plays an integral role in management and performance prediction of oil and gas reserves. Geological characterization and nmultiphase flow simulations in fractured media are challenging for several reasons, such as uncertainty in fracture location, complexity in fracture geometry. dynamic nature of fractures etc. There is a need for complex sinmulation models that resolve the flow dynamics along fractures and the interaction with the porous matrix. The unstructured finite volume model provides a tool for the numerical simulation of multiphase flow (inmmiscible and incompressible two-phase flow) in two-dimensional fractured media. We use a finite volume formulation, which is locally imass conservative and it allows the use of fully unstructured grids to represent the coimplex geometry of the fracture networks. Fractures are represented as objects of lower diniensionality than that of the domain (in this case, ID objects in a 2D domain). The model permits fine-scale simulation of multiphase transport through fractured media. The non-Fickian transport resulting due to the presence of heterogeneity (as fractures or inhomogeneous permeability distribution) is captured by the traditional advection-diffusion equation using a highly discretized system. Today. many macroscopic flow models are being developed which account for the non-Fickian. non-local flow more accurately and efficiently with less computation. The finite volume simulator niodel described in this thesis will be instrumental as a tool to train and validate the macroscopic flow models which account for anomialous transport behavior.
(cont.) We illustrate the performance of this simulator on several synthetic cases with different fracture geometries and conclude the model effectively captures the miiultiphase fluid flow pattern in fractured media.
by Reena Bajaj.
S.M.
Zhang, Youqian. "Development, analysis and numerical methods for multicomponent, multiphase flow in porous media." Ann Arbor, Mich. : ProQuest, 2007. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3294765.
Title from PDF title page (viewed Nov. 19, 2009). Source: Dissertation Abstracts International, Volume: 68-12, Section: B, page: 8072. Adviser: Zhangxin (John) Chen. Includes bibliographical references.
Lu, Qin. "A parallel multi-block/multi-physics approach for multi-phase flow in porous media /." Digital version accessible at:, 2000. http://wwwlib.umi.com/cr/utexas/main.
Saeedi, Ali. "Experimental study of multiphase flow in porous media during CO2 geo‐sequestration processes." Thesis, Curtin University, 2011. http://hdl.handle.net/20.500.11937/98.
Lenci, Alessandro. "Multiphase flow in porous media: meta-modeling techniques for sensitivity analysis and risk assessment." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2016.
Thorenz, Carsten. "Model adaptive simulation of multiphase and density driven flow in fractured and porous media." Hannover : Inst. für Strömungsmechanik und Elektronisches Rechnen im Bauwesen, 2001. http://deposit.ddb.de/cgi-bin/dokserv?idn=964524406.
Pingo, Almada Monica. "Wetting and spreading effects on multiphase-flow in porous media for reservoir engineering practice." Thesis, Imperial College London, 1997. http://hdl.handle.net/10044/1/11864.
Lee, Ki Young. "Development of a generalised compositional multiphase model for flow and transport in porous media." Thesis, University of Newcastle Upon Tyne, 1997. http://hdl.handle.net/10443/451.
JAĆIMOVIĆ, NENAD. "NUMERICAL MODELING OF MULTIPHASE FLOWS IN POROUS MEDIA AND ITS APPLICATION IN HYDRAULIC ENGINEERING." 京都大学 (Kyoto University), 2007. http://hdl.handle.net/2433/49127.
Multiphase flows are governed by three-dimensional Navier Stokes equations for each involved phase. Therefore, solution of these equations for given boundary and initial conditions, in principle, would determine the flow field in time and space. Generally, boundaries between involved phases are not known a priory, but are part of the, solution; or in the case of flows in a porous medium, these boundaries have too complicated geometry to be resolved mathematically. This resulted into development of simplified models, where the level of simplifications determines the model applicability. However, in order to represent simulated flows accurately, the model should include as much as possible relevant mechanisms and fluid properties. In this study, a numerical model is developed based on finite volume method, in which the volume averaged governing equations are solved. In contrary to the simplified models. a full momentum equations for each involved phase is considered. Such model is utilized in the study to investigate commonly adopted simplifications, and their effects on the model applicability. Namely, for the flows in porous media, the effects of acceleration terms in momentum equations are investigated; first for the saturated groundwater flow, and then; for the air/water flow during air injection into initially saturated soil. It is revealed that in the case of saturated flow in homogeneous, incompressible, low permeable soils, the pressure adapts the new imposed boundary conditions instantaneously, while the velocities reach the quasi-steady conditions extremely fast. In the case of heterogeneous soil, pressure and velocity field have transient nature, but quickly reach the quasi-steady conditions. Only during this onset of flow, the inertia terms play a role. In the case of air/water flow during air sparging, it is revealed that acceleration becomes important for porous medium with average grain size larger than 2 rum. This implies that simulations of such flow in coarse sands and gravels should include acceleration. It is explicitly shown that phenomena of flow pulsation, manifesting as steady pulsation at the constant air-injection flow rate, can be modeled only by inclusion of acceleration terms in governing equations. Theoretical analysis; conducted by application of one-dimensional stability analysis, revealed that inertial effects promote the instability, while the capillary forces oppose it. Ratio of these forces determines the onset of instability. It is showed that for materials with average grain size smaller than 2 mm, instability can not be expected. In order to apply the model for simulation of contaminant removal during air sparging, the contaminant transport model is supplied. Mechanistic numerical models inherently assume that involved phases are completely mixed, and by now reported models commonly assume the local equilibrium of contaminant between the air and water phase. As reported by many investigators, this leads toward an overestimated contaminant removal. Therefore, in this model a channel air flow pattern is considered, where transfer of contaminant between the water and the air phase is modeled according to two film theory. Diffusive process of contaminant transport toward the air phase is modeled by a first order kinetic process between two water compartments: a immobile compartment in contact with the air phase and mobile compartment which has no contact with the air phase. Application of the developed model to reported two-dimensional experiment, showed a good agreement between simulated and measured transient change of dissolved contaminant in the water. This study also showed that single numerical model, through the minor refinements, can be applied to wide variety of hydraulic engineering problems. By inclusion of gas compressibility, and mass exchange between the gas and the water phase in continuity equations, with adapting the drag term in momentum equations, a bubble phone model is proposed which can be utilized for simulation of lake amelioration by gas (air or pure oxygen) injection. Model is qualitatively and quantitatively validated by comparison with reported experiments from the literature. Hypothetical simulation of pure oxygen injection into 50 in deep lake showed that, due to ambient water entrainment into the gas plume, a significant spreading of dissolved oxygen can not be expected. Therefore, a optional gas injection strategy should be considered. Developed model can be utilized in order to propose an optimal gas injection design. Finally.. the same numerical model is proposed for simulation of flow in complex flow domains, consisting of bulk water and flow in porous medium with free surface boundary. Model is formulated in generalized curvilinear coordinates, in order to provide adequate representation of irregular boundaries. In contrast to earlier proposed boundary conditions at the two domain interface, in this model a continuity of velocities and stresses is assumed; for both regions a single set of governing equations is solved. Model application is illustrated by simulation of embankment overflow and its effect on effective stresses in the porous medium. It is showed that coupled, bulk water and groundwater flow, significantly influence the slope failure potential, here quantified by the Coulomb failure coefficient for non cohesive soils.
Kyoto University (京都大学)
0048
新制・課程博士
博士(工学)
甲第13374号
工博第2845号
新制||工||1419(附属図書館)
25530
UT51-2007-Q775
京都大学大学院工学研究科都市社会工学専攻
(主査)教授 細田 尚, 准教授 牛島 省, 准教授 後藤 仁志
学位規則第4条第1項該当
Rabbani, Harris. "Pore-scale investigation of wettability effects on two-phase flow in porous media." Thesis, University of Manchester, 2018. https://www.research.manchester.ac.uk/portal/en/theses/porescale-investigation-of-wettability-effects-on-twophase-flow-in-porous-media(4da35c39-fc12-4d2c-8645-53bb617696aa).html.
Wang, Zhongzheng. "Capillary Effects on Fluid Transport in Granular Media." Thesis, The University of Sydney, 2021. https://hdl.handle.net/2123/25895.
Abd, Rahman N. "Finite element analysis of multiphase flow, heat flow and pollutant transport in deforming porous media for subsurface systems." Thesis, Swansea University, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.635825.
Xu, Ying. "Flow/acoustic interactions in porous media under a turbulent wind environment." Diss., Manhattan, Kan. : Kansas State University, 2010. http://hdl.handle.net/2097/3510.
McDougall, Steven Robert. "The application of network modelling techniques to steady-and-unsteady-state multiphase flow in porous media." Thesis, Heriot-Watt University, 1994. http://hdl.handle.net/10399/1406.
Yang, Jianhui. "Multi-scale simulation of multiphase multi-component flow in porous media using the Lattice Boltzmann Method." Thesis, Imperial College London, 2013. http://hdl.handle.net/10044/1/18928.
Fu, An. "Investigation of Fluid Wicking Behavior in Micro-Channels and Porous Media by Direct Numerical Simulation." University of Cincinnati / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1563272437544414.
Costa, Solé Albert. "High-order hybridizable discontinuous Galerkin formulation and implicit Runge-Kutta schemes for multiphase flow through porous media." Doctoral thesis, Universitat Politècnica de Catalunya, 2020. http://hdl.handle.net/10803/669324.
Esta tesis presenta formulaciones de Galerkin discontinuo hibridizable de alto orden (HDG) acopladas con métodos implícitos de Runge-Kutta (RK) para la simulación de flujo monofásico y bifásico. Los métodos de alto orden pueden reducir el coste computacional mientras se obtienen soluciones más precisas con menos errores de disipación y dispersión que los de bajo orden. HDG es un método no estructurado, con precisión de alto orden y estable. La estabilidad se impone utilizando un solo parámetro. Además, es un método localmente conservativo, lo cual es importante al resolver EDPs de forma conservativa. Además, se pueden usar técnicas de hibridización para reducir el tamaño del sistema lineal global. Para mantener las ventajas de estabilidad y precisión en problemas transitorios, combinamos el método HDG con esquemas RK implícitos de alto orden. La primera contribución es una formulación HDG estable de alto orden con esquemas DIRK para problemas de flujo monofásico ligeramente compresible. Obtenemos una expresión analítica para el parámetro de estabilización utilizando el esquema de flujo monótono Engquist-Osher. La selección del parámetro de estabilización garantiza la estabilidad y las propiedades de alto orden del método. Introducimos el parámetro de estabilización en el método de Newton debido que calculamos analíticamente sus derivadas. La segunda contribución es una formulación HDG de alto orden con esquemas DIRK para problemas de flujo bifásico inmiscible e incompresible. Usamos la presión del agua y la saturación de petróleo como incógnitas principales, con lo que se obtiene un sistema acoplado de dos EDPs no lineales. Para resolver el problema no lineal, usamos un método iterativo de punto fijo que resuelve alternativamente la saturación y la presión implícitamente en cada etapa del RK hasta converger. Este método es eficiente en memoria porque la saturación y la presión no se resuelven a la vez. La tercera contribución es un esquema de discretización para el problema del flujo bifásico con el mismo orden de convergencia espacial y temporal. La discretización espacial de alto orden junto con discretizaciones temporales de bajo orden puede requerir pasos de tiempo arbitrariamente pequeños para obtener un error temporal suficientemente bajo. Además, los esquemas de DIRK estables de alto orden necesitan una gran cantidad de etapas a partir del cuarto orden. Por ello, el coste computacional puede verse gravemente afectado porque se debe resolver un problema no lineal en cada etapa del RK. Por lo tanto, combinamos la formulación HDG con esquemas RK totalmente implícitos de alto orden. Estos esquemas pueden ser incondicionalmente estables y lograr una precisión temporal de alto orden con pocas etapas. Por ello, se pueden utilizar pasos de tiempo arbitrariamente grandes sin perjudicar la precisión temporal. Reescribimos el sistema no lineal para reducir el requerimiento de memoria. De este modo, logramos un mejor patrón de llenado de la jacobiana y un menor acoplamiento entre etapas. Además, hemos adaptado el método iterativo de punto fijo anterior. Primero calculamos la saturación en todas las etapas resolviendo un solo sistema no lineal utilizando el método Newton-Raphson. Posteriormente, resolvemos la ecuación de presión secuencialmente en cada etapa del RK, ya que no combina las incógnitas en diferentes etapas. La última contribución es un método eficiente de captura de choque para el problema de flujo bifásico para reducir las oscilaciones espurias que pueden aparecer en las aproximaciones de la saturación. Introducimos viscosidad artificial localmente solo en la ecuación de saturación, ya que sólo la saturación no es suave. Por ello, calculamos un sensor de choque con la saturación y la saturación postprocesada del método HDG. Este sensor es eficiente ya que la saturación postprocesada se calcula a nivel elemental. Nuestra metodología permite seguir la evolución de los frentes, porque el sensor se calcula en cada etapa
Heida, Martin [Verfasser], and Willi [Akademischer Betreuer] Jäger. "Modeling Multiphase Flow in Porous Media With an Application to Permafrost Soil / Martin Heida ; Betreuer: Willi Jäger." Heidelberg : Universitätsbibliothek Heidelberg, 2011. http://d-nb.info/1179229525/34.
Lagree, Bertrand. "Modelling of two-phase flow in porous media with volume-of-fluid method." Thesis, Paris 6, 2014. http://www.theses.fr/2014PA066199/document.
Understanding multiphase flow in porous media is of tremendous importance for many industrial and environmental applications at various spatial and temporal scales. The present study consequently focuses on modelling multiphase flows by the Volume-of-Fluid method in porous media and shows simulations of Saffman-Taylor fingering motivated by the analysis of waterflooding experiments of extra-heavy oils in quasi-2D square slab geometries of Bentheimer sandstone. The Gerris code which allows efficient parallel computations with octree mesh refinement is used. It is tested for accuracy and computational speed using several levels of refinement and comparing to reference simulations in the literature. Simulations of real rocks are realised in three dimensions with very promising results. Though it is not yet possible to attain realistic capillary numbers, it is possible to simulate flows in domains of physical size up to 1 mm3 in reasonable CPU time. 2D simulations of viscous fingering with both central and lateral injection are also presented in this study, based on Darcy's law. The fractal aspect of this fingering is studied by considering both its fractal dimension and the variation of the area of the resulting pattern with respect to its arclength. Finally, polymer flooding following waterflooding in a two-step process is simulated with Darcy modelling
Nuske, Philipp [Verfasser], and Rainer [Akademischer Betreuer] Helmig. "Beyond local equilibrium : relaxing local equilibrium assumptions in multiphase flow in porous media / Philipp Nuske. Betreuer: Rainer Helmig." Stuttgart : Universitätsbibliothek der Universität Stuttgart, 2015. http://d-nb.info/1066239568/34.
Nuske, Klaus Philipp [Verfasser], and Rainer [Akademischer Betreuer] Helmig. "Beyond local equilibrium : relaxing local equilibrium assumptions in multiphase flow in porous media / Philipp Nuske. Betreuer: Rainer Helmig." Stuttgart : Universitätsbibliothek der Universität Stuttgart, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-97964.
Fritz, Jochen [Verfasser]. "A decoupled model for compositional non-isothermal multiphase flow in porous media and multiphysics approaches for two-phase flow / von Jochen Fritz." Stuttgart : Inst. für Wasserbau, 2010. http://d-nb.info/1007183225/34.
Ferzly, Joëlle. "Adaptive inexact smoothing Newton method for nonlinear systems with complementarity constraints. Application to a compositional multiphase flow in porous media." Thesis, Sorbonne université, 2022. http://www.theses.fr/2022SORUS376.
We consider variational inequalities written in the form of partial differential equations with nonlinear complementarity constraints. The discretization of such problems leads to nonlinear non-differentiable discrete systems that can be solved employing an iterative linearization method of semismooth type like, e.g., the Newton-min algorithm. Our goal in this thesis is to conceive a simple smoothing approach that involves approximating the problem as a system of nonlinear smooth (differentiable) equations. In this setting, a direct application of classical Newton-type methods is possible. We construct a posteriori error estimates that lie at the foundation of an adaptive inexact smoothing Newton algorithm for a solution of the considered problems. We first present the strategy in a discrete framework. Then, we develop the method for the model problem of contact between two membranes. Last, an application to a compositional multiphase flow industrial model is introduced. In Chapter 1, we are concerned about nonlinear algebraic systems with complementarity constraints arising from numerical discretizations of PDEs with nonlinear complementarity problems. We produce a smooth approximation of a nonsmooth function, reformulating the complementarity conditions. The ensuing nonlinear system is solved employing the Newton method, together with an iterative linear algebraic solver to approximately solve the linear system. We establish an upper bound on the considered system’s residual and design a posteriori error estimators identifying the smoothing, linearization, and algebraic error components. These ingredients are used to formulate efficient stopping criteria for the nonlinear and algebraic solvers. With the same methodology, an adaptive interior-point method is proposed. We apply our algorithm to the algebraic system of variational inequalities describing the contact between two membranes and a two-phase flow problem. We provide numerical comparison of our approach with a semismooth Newton method, possibly combined with a path-following strategy, and a nonparametric interior-point method. In Chapter 2, in an infinite-dimensional framework, we consider as a model problem the contact problem between two membranes. We employ a finite volume discretization and apply the smoothing approach proposed in Chapter 1 to smooth the non-differentiability in the complementarity constraints. The resolution of the arising nonlinear smooth system is again realized thanks to the Newton method, in combination with an iterative algebraic solver for the solution of the resulting linear system. We design H1-conforming potential reconstructions as well as H(div)-conforming discrete equilibrated flux reconstructions. We prove an upper bound for the total error in the energy norm and conceive discretization, smoothing, linearization, and algebraic estimators reflecting the errors stemming from the finite volume discretization, the smoothing of the non-differentiability, the linearization by the Newton method, and the algebraic solver, respectively. This enables us to establish adaptive stopping criteria to stop the different solvers in the proposed algorithm and design adaptive algorithm steering all these four components. In Chapter 3, we consider a compositional multiphase flow (oil, gas, and water) with phase transitions in a porous media. A finite volume discretization yields a nonlinear non-differentiable algebraic system which we solve employing our inexact smoothing Newton technique. Following the process of Chapter 1, we build a posteriori estimators by bounding the norm of the discrete system’s residual, resulting in adaptive criteria that we incorporate in the employed algorithm. Throughout this thesis, numerical experiments confirm the efficiency of our estimates. In particular, we show that the developed adaptive algorithms considerably reduce the overall number of iterations in comparison with the existing methods
Yamashita, Hiroshi, Shingo Satake, and Kazuhiro Yamamoto. "Microstructure and particle-laden flow in diesel particulate filter." Elsevier, 2009. http://hdl.handle.net/2237/20047.
Tong, Fuguo. "Numerical modeling of coupled thermo-hydro-mechanical processes in geological porous media." Doctoral thesis, KTH, Teknisk geologi och geofysik, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-12009.
QC20100720
THERESA
Brunner, Fabian Verfasser], and Peter [Akademischer Betreuer] [Knabner. "Multiphase multicomponent flow in porous media with general reactions: efficient problem formulations, conservative discretizations, and convergence analysis / Fabian Brunner. Gutachter: Peter Knabner." Erlangen : Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), 2016. http://d-nb.info/1081544104/34.
Thorenz, Carsten [Verfasser]. "Model adaptive simulation of multiphase and density driven flow in fractured and porous media / Carsten Thorenz. Institut für Strömungsmechanik und Elektron. Rechnen im Bauwesen der Universität Hannover." Hannover : Inst. für Strömungsmechanik und Elektronisches Rechnen im Bauwesen, 2001. http://d-nb.info/964524406/34.
Du, Fengshuang. "Investigation of Nanopore Confinement Effects on Convective and Diffusive Multicomponent Multiphase Fluid Transport in Shale using In-House Simulation Models." Diss., Virginia Tech, 2020. http://hdl.handle.net/10919/100103.
Doctor of Philosophy
Shale reservoir is one type of unconventional reservoir and it has extremely small pore size, low porosity, and ultra-low permeability. In tight shale reservoirs, the pore size is in nanometer scale and the oil-gas capillary pressure reaches hundreds of psi. In addition, the critical properties (such as critical pressure and critical temperature) of hydrocarbon components will be altered in those nano-sized pores. In this research, two in-house reservoir simulation models, i.e., a compositionally extended black-oil model and a fully composition model are developed to examine the nano-pore confinement effects on convective and diffusive multicomponent multiphase fluid transport. The large nano-confinement effects (large gas-oil capillary pressure and critical property shifts) on oil or gas production behaviors will be investigated. Meanwhile, the nano-confinement effects and rock intrinsic properties (porosity and tortuosity factor) on predicting effective diffusion coefficient are also studied.
Momeni, Sina. "Non-linear diffusion in fractured porous media and application to dual-medium inter-porosity flux." Electronic Thesis or Diss., Sorbonne université, 2022. http://www.theses.fr/2022SORUS496.
Transfers in fractured porous media are involved in many industrial applications such as oil production, geothermal exploitation, soil remediation, or geological storage. Dimensional analysis of matrix-fracture transfers must consider all physical mechanisms driving transfers, pressure diffusivity, gravity/segregation, capillary force, viscous flow, molecular diffusion for compositional transfers, and chemical alteration of fluid/rock. Modeling and up-scaling these transfers in linear and non-linear forms remain a major challenge in many applications. The “dual-medium” model is a powerful tool for up-scaling transfers in the matrix block scale of Naturally Fractured Reservoirs but, unfortunately, most of their formulations rely on the asymptotic value (at large/late times) of a so-called “shape factor” in a single-phase flow context. This research increases the reliability of up-scaling of matrix-fracture dual-medium models that are adopted to simulate fluid or heat transport at the scale of geological reservoirs. Analytical solutions for single-phase diffusion are well-known in Darcy-scale. These Darcy-scale models provided reference solutions whose physical analysis helps in setting up the upscaling methods for parameterizing the macro-scale models based on the dual-medium concept. This study derived an analytical shape factor for linear diffusion in the dual-medium model with specific fracture boundary conditions and suggested a correction function to modify the dual-medium numerical simulator. The matrix-fracture transfer time is characterized by early- and late-time behaviors that turned to our methodology to solve the non-linear two-phase transfer. In many situations of practical interest, capillarity is the dominant driving force and the saturation-dependent diffusion coefficient vanishes at the saturation end points, which renders the driving equation highly singular. We revisit this non-linear problem with Dirichlet boundary condition by presenting two exact asymptotic solutions valid for early- and late-times, under the assumption that the diffusivity vanishes as a power-law of both phase saturations at the extreme values of the fluid saturation. In the early-time an exact self-similar solution is adopted. Focusing on the late-time domain, the asymptotic solution is derived using an Ansatz that is written under the form of a power-law time decay of the NAPL saturation. The spatial variations of the solution are given analytically for a one-dimensional porous medium corresponding to parallel fracture planes. The analytical solution is in very good agreement with the results of numerical simulations involving various realistic sets of input transport parameters. Generalization to the case of two- or three-dimensional matrix blocks of arbitrary shape is proposed using a similar Ansatz. A fast converging algorithm based on a fixed-point sequence starting from a suitable first guess was developed. Comparisons with full-time simulations for several typical block geometries show an excellent agreement. These analytical results generalize linear single-phase representation of matrix-to-fracture exchange term to two-phase capillary imbibition transfer. This formulation accounts for the non-linearity of the local flow equations using the power-law dependence of the conductivity for low NAPL saturation. The corresponding exponent can be predicted from the input conductivity parameters. Similar findings are also presented and validated numerically for two- or three-dimensional matrix blocks. Finally, we present a matrix-fracture transfer model with a characteristic time that scales the full range of a counter-current capillary imbibition in a multi-dimensional system.That original approach paves the way to research leading to a more faithful description of matrix-to-fracture exchanges when considering a realistic fractured medium composed of a population of matrix blocks of various size and shapes
Ngachin, Merlin. "Simulation of Rising Bubbles Dynamics Using the Lattice Boltzmann Method." FIU Digital Commons, 2011. http://digitalcommons.fiu.edu/etd/466.
ZHENG, WEIBO. "Pore-Scale Simulation of Cathode Catalyst Layers in Proton Exchange Membrane Fuel Cells (PEMFCs)." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1555436163992345.
Id, Moulay Mohamed. "Simulation numérique 3D d'Écoulement Multiphasiques Réactifs en Milieux Poreux." Thesis, Pau, 2019. http://www.theses.fr/2019PAUU3015.
Reactive transport modeling is used in many energy and environmental applications related to subsurface flows. Modeling such problems leads to a highly nonlinear system of PDEs coupled with algebraic or ODEs. Two types of approaches for the numerical solving of reactive transport problems are widely used in the literature. One is the operator-splitting approach which consists in splitting the flow and reactive transport problems. These latter are solved sequentially at each time step. The other strategy is based on the fully coupled approach in which the entire system is solved simultaneously. The goal of the PhD thesis is the development of a fully coupled fully implicit finite volume scheme for numerical modeling of single and two-phase multicomponent flows with reactive transport in porous media. New reactive transport modules will be implemented in DuMuX, a free and open-source simulator for flow and transport processes in porous media. Numerical simulations for 2D and 3D including benchmark tests and high performance computing will be performed to validate the modules