Relevant bibliographies by topics / Immiscible two-Phase flow

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  2. Dissertations / Theses
  3. Books
  4. Book chapters
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Academic literature on the topic 'Immiscible two-Phase flow'

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Published: 30 November 2024

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Journal articles on the topic "Immiscible two-Phase flow"

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Deng, Yongbo, Zhenyu Liu, and Yihui Wu. "Topology Optimization of Capillary, Two-Phase Flow Problems." Communications in Computational Physics 22, no. 5 (October 31, 2017): 1413–38. http://dx.doi.org/10.4208/cicp.oa-2017-0003.

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AbstractThis paper presents topology optimization of capillary, the typical two-phase flow with immiscible fluids, where the level set method and diffuse-interface model are combined to implement the proposed method. The two-phase flow is described by the diffuse-interface model with essential no slip condition imposed on the wall, where the singularity at the contact line is regularized by the molecular diffusion at the interface between two immiscible fluids. The level set method is utilized to express the fluid and solid phases in the flows and the wall energy at the implicit fluid-solid interface. Based on the variational procedure for the total free energy of two-phase flow, the Cahn-Hilliard equations for the diffuse-interface model are modified for the two-phase flow with implicit boundary expressed by the level set method. Then the topology optimization problem for the two-phase flow is constructed for the cost functional with general formulation. The sensitivity analysis is implemented by using the continuous adjoint method. The level set function is evolved by solving the Hamilton-Jacobian equation, and numerical test is carried out for capillary to demonstrate the robustness of the proposed topology optimization method. It is straightforward to extend this proposed method into the other two-phase flows with two immiscible fluids.
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Sun, Wen Tao, and Huai Yu Zhang. "Finite element method for two-phase immiscible flow." Numerical Methods for Partial Differential Equations 15, no. 4 (July 1999): 407–16. http://dx.doi.org/10.1002/(sici)1098-2426(199907)15:4<407::aid-num1>3.0.co;2-w.

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Mitrović, Darko, and Andrej Novak. "Two-Phase Nonturbulent Flow with Applications." Mathematical Problems in Engineering 2015 (2015): 1–8. http://dx.doi.org/10.1155/2015/439704.

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We model dynamics of two almost immiscible fluids of different densities using the Stokes equations with the Dirac distribution representing the sink or source point. The equations are solved by regularizing the Dirac distribution and then using an iterative procedure based on the finite element method. Results have potential applications in water pollution problems and we present two relevant situations. In the first one, we simulate extraction of a light liquid trapped at the bottom of a pond/lake and, after being disturbed, it rises toward the surface. In the second case, we simulate heavy liquid leaking from a source and slowly dropping on an uneven bottom.
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Shao, Sihong, and Tiezheng Qian. "A Variational Model for Two-Phase Immiscible Electroosmotic Flow at Solid Surfaces." Communications in Computational Physics 11, no. 3 (March 2012): 831–62. http://dx.doi.org/10.4208/cicp.071210.040511a.

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AbstractWe develop a continuum hydrodynamic model for two-phase immiscible flows that involve electroosmotic effect in an electrolyte and moving contact line at solid surfaces. The model is derived through a variational approach based on the On-sager principle of minimum energy dissipation. This approach was first presented in the derivation of a continuum hydrodynamic model for moving contact line in neutral two-phase immiscible flows (Qian, Wang, and Sheng, J. Fluid Mech. 564, 333-360 (2006)). Physically, the electroosmotic effect can be formulated by the Onsager principle as well in the linear response regime. Therefore, the same variational approach is applied here to the derivation of the continuum hydrodynamic model for charged two-phase immiscible flows where one fluid component is an electrolyte exhibiting electroosmotic effect on a charged surface. A phase field is employed to model the diffuse interface between two immiscible fluid components, one being the electrolyte and the other a nonconductive fluid, both allowed to slip at solid surfaces. Our model consists of the incompressible Navier-Stokes equation for momentum transport, the Nernst-Planck equation for ion transport, the Cahn-Hilliard phase-field equation for interface motion, and the Poisson equation for electric potential, along with all the necessary boundary conditions. In particular, all the dynamic boundary conditions at solid surfaces, including the generalized Navier boundary condition for slip, are derived together with the equations of motion in the bulk region. Numerical examples in two-dimensional space, which involve overlapped electric double layer fields, have been presented to demonstrate the validity and applicability of the model, and a few salient features of the two-phase immiscible electroosmotic flows at solid surface. The wall slip in the vicinity ofmoving contact line and the Smoluchowski slip in the electric double layer are both investigated.
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Langlo, Peder, and Magne S. Espedal. "Macrodispersion for two-phase, immiscible flow in porous media." Advances in Water Resources 17, no. 5 (January 1994): 297–316. http://dx.doi.org/10.1016/0309-1708(94)90033-7.

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Chen, Zhangxin. "Numerical Analysis for Two-phase Flow in Porous Media." Computational Methods in Applied Mathematics 3, no. 1 (2003): 59–75. http://dx.doi.org/10.2478/cmam-2003-0006.

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Abstract In this paper we derive error estimates for finite element approximations for partial differential systems which describe two-phase immiscible flows in porous media. These approximations are based on mixed finite element methods for pressure and velocity and characteristic finite element methods for saturation. Both incompressible and compressible flows are considered. Error estimates of optimal order are obtained.
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YEH, LI-MING. "ON TWO-PHASE FLOW IN FRACTURED MEDIA." Mathematical Models and Methods in Applied Sciences 12, no. 08 (August 2002): 1075–107. http://dx.doi.org/10.1142/s0218202502002045.

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A model describing two-phase, incompressible, immiscible flow in fractured media is discussed. A fractured medium is regarded as a porous medium consisting of two superimposed continua, a continuous fracture system and a discontinuous system of medium-sized matrix blocks. Transport of fluids through the medium is primarily within the fracture system. No flow is allowed between blocks, and only matrix-fracture flow is possible. Matrix block system plays the role of a global source distributed over the entire medium. Two-phase flow in a fractured medium is strongly related to phase mobilities and capillary pressures. In this work, four relations for these functions are presented, and the existence of weak solutions under each relation will also be shown.
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Xu, Peng, Ming-Zhou Yu, Shu-Xia Qiu, and Bo-Ming Yu. "Monte Carlo simulation of a two-phase flow in an unsaturated porous media." Thermal Science 16, no. 5 (2012): 1382–85. http://dx.doi.org/10.2298/tsci1205382x.

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Relative permeability is a significant transport property which describes the simultaneous flow of immiscible fluids in porous media. A pore-scale physical model is developed for the two-phase immiscible flow in an unsaturated porous media according to the statistically fractal scaling laws of natural porous media, and a predictive calculation of two-phase relative permeability is presented by Monte Carlo simulation. The tortuosity is introduced to characterize the highly irregular and convoluted property of capillary pathways for fluid flow through a porous medium. The computed relative permeabilities are compared with empirical formulas and experimental measurements to validate the current model. The effect of fractal dimensions and saturation on the relative permeabilities is also discussed
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HOWISON, SAM D. "A note on the two-phase Hele-Shaw problem." Journal of Fluid Mechanics 409 (April 25, 2000): 243–49. http://dx.doi.org/10.1017/s0022112099007740.

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We discuss some techniques for finding explicit solutions to immiscible two-phase flow in a Hele-Shaw cell, exploiting properties of the Schwartz function of the interface between the fluids. We also discuss the question of the well-posedness of this problem.
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Kačur, Jozef, Benny Malengier, and Pavol Kišon. "Numerical Modeling of Two Phase Flow under Centrifugation." Defect and Diffusion Forum 326-328 (April 2012): 221–26. http://dx.doi.org/10.4028/www.scientific.net/ddf.326-328.221.

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Numerical modeling of two-phase flow under centrifugation is presented in 1D.A new method is analysed to determine capillary-pressure curves. This method is based onmodeling the interface between the zone containing only wetting liquid and the zone containingwetting and non wetting liquids. This interface appears when into a fully saturated sample withwetting liquid we inject a non-wetting liquid. By means of this interface an efficient and correctnumerical approximation is created based upon the solution of ODE and DAE systems. Bothliquids are assumed to be immiscible and incompressible. This method is a good candidate tobe used in solution of inverse problem. Some numerical experiments are presented.
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Dissertations / Theses on the topic "Immiscible two-Phase flow"

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Pan, Xuefeng. "Immiscible two-phase flow in a fracture." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape8/PQDD_0025/NQ47907.pdf.

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Rannou, Guillaume. "Lattice-Boltzmann method and immiscible two-phase flow." Thesis, Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/26560.

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Thesis (M. S.)--Mechanical Engineering, Georgia Institute of Technology, 2009.
Committee Chair: Cyrus K. Aidun; Committee Member: Marc K. Smith; Committee Member: S. Mostafa Ghiaasiaan. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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Bristow, Robert Philip. "Micromodels of immiscible two-phase flow in porous media." Thesis, University of Cambridge, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.235763.

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The research is a study on the microscopic scale of the immiscible displacement of oil by water in a porous medium such as sandstone. Of particular interest (with application to the oil industry) are the residual saturation of oil, the permeability to water at residual oil saturation and the maximum trapped blob size. Initially the effects of gravity, surface tension and distribution of pore sizes were studied in a computer simulation of a buoyancy driven, quasi-static invasion. The rock was modelled as a three-dimensional lattice of spherical pores connected by narrow cylindrical throats. With the rock water-wet, the tendency of the surface tension to favour the invasion of smaller pores led to a larger residual oil saturation by pore volume than by pore numbers. Also bourne out were some scaling arguments based on percolation theory for the maximum trapped blob size as a function of the relative strength of buoyancy and surface tension forces. The second part of the research investigated the interaction of viscous and surface tension forces. As this is a much more complicated problem, involving the solution of flow equations, the invasion process was first simulated with exact equations of motion on small networks (up to 10x10), where surface tension effects dominate. From these simulations a simplified set of rules was developed to determine which pore in a locality on the oil-water interface is invaded and how long the invasion takes. These rules include a viscous correction to the dominant surface tension forces. Finally, some theory has been developed for the inclusion of the small-scale analysis into a larger model, allowing a full simulation of the viscous dominated invasion to be performed.
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Nourdeen, Hasan. "Upscaling immiscible capillary-controlled two-phase flow in porous media." Thesis, Imperial College London, 2018. http://hdl.handle.net/10044/1/61482.

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This thesis focuses primary on two-phase displacements under capillary-controlled flow conditions at relatively large scales, considering solution techniques that capture the dynamics of two-phase displacements for homogeneous flow domains, and deriving representative averages for heterogeneous systems with strong spacial variations in two-phase properties. First, we review main flow mechanisms encountered at large scales when capillary forces dominate the displacement process, where we present main solution techniques for homogeneous flow domains and introduce analytical treatments for other flow mechanisms that do not follow standard time-scaling. We also present a comprehensive investigation of spontaneous imbibition processes in porous rocks both numerically and analytically, and propose a simplified but accurate analytic approximation using perturbation theory, that considerably improves the implementation process, as compared with the original analytical solution. After that, an investigation of the impact of capillary backpressure on counter-current flow is performed, as this is considered one of the main drawbacks in using the continuum modelling approach. We then apply steady-state capillary-controlled upscaling in heterogeneous environment, where large-scale invasion percolation is coupled with a conventional Darcy solver to identify large-scale trapping due to capillary forces. In other words, a phase may fail to form a connected path across a given domain at capillary equilibrium, and some regions therefore may produce disconnected clusters. In such cases, conventional upscaling processes might not be accurate since identification and removal of these isolated clusters are extremely important to the global connectivity of the system and the stability of the numerical solvers. We present a comprehensive investigation using random absolute permeability fields, for water-wet, oil-wet and mixed-wet systems, where we show that in oil-wet and mixed-wet media, large-scale trapping of oil controlled by variations in local capillary pressure, may be more significant than the local trapping controlled by pore-scale displacement.
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Schmid, Karen Sophie. "Mathematical analysis, scaling and simulation of flow and transport during immiscible two-phase flow." Thesis, Heriot-Watt University, 2012. http://hdl.handle.net/10399/2547.

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Fluid flow and transport in fractured geological formations is of fundamental socio-economic importance, with applications ranging from oil recovery from the largest remaining hydrocarbon reserves to bioremediation techniques. Two mechanisms are particularly relevant for flow and transport, namely spontaneous imbibition (SI) and hydrodynamic dispersion. This thesis investigates the influence of SI and dispersion on flow and transport during immiscible two-phase flow. We make four main contributions. Firstly, we derive general, exact analytic solutions for SI that are valid for arbitrary petrophysical properties. This should finalize the decades-long search for analytical solutions for SI. Secondly, we derive the first non-dimensional time for SI that incorporates the influence of all parameters present in the two-phase Darcy formulation - a problem that was open for more than 90 years. Thirdly, we show how the growth of the dispersive zone depends on the flow regime and on adsorption. To that end we derive the first known set of analytical solutions for transport that fully accounts for the effects of capillarity, viscous forces and dispersion. Finally, we provide numerical tools to investigate the influence of heterogeneity by extending the higher order finite-element finite-volume method on unstructured grids to the case of transport and two-phase flow.
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PIMENTEL, ISMAEL ANDRADE. "AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2015. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33594@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO
CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO
Esta tese propõe um método meshfree adaptativo de advecção para problemas de fluxo bifásico de fluidos incompressíveis e imiscíveis em meios porosos heterogêneos tridimensionais. Este método se baseia principalmente na combinação do método Semi-Lagrangeano adaptativo com interpolação local meshfree usando splines poliharmônicas como funções de base radial. O método proposto é uma melhoria e uma extensão do método adaptativo meshfree AMMoC proposto por Iske e Kaser (2005) para modelagem 2D de reservatórios de petróleo. Inicialmente este trabalho propõe um modelo em duas dimensões, contribuindo com uma melhoria significativa no cálculo do Laplaciano, utilizando os métodos meshfree de Hermite e Kansa. Depois, o método é ampliado para três dimensões (3D) e para um meio poroso heterogêneo. O método proposto é testado com o problema de five spot e os resultados são comparados com os obtidos por sistemas bem conhecidos na indústria de petróleo.
This thesis proposes an adaptive meshfree advection method for two-phase flow problems of incompressible and immiscible fluids through three-dimensional heterogeneous porous media. This method is based mainly on a combination of adaptive semi-Lagrangian method with local meshfree interpolation using polyharmonic splines as radial basis functions. The proposed method is an improvement and extension of the adaptive meshfree advection scheme AMMoC proposed by Iske and Kaser (2005) for 2D oil reservoir modeling. Initially this work proposes a model in two dimensions, contributing to a significant improvement in the calculation of the Laplacian, using the meshfree methods of Hermite and Kansa. Then, the method is extended to three dimensions (3D) and a heterogeneous porous medium. The proposed method is tested with the five spot problem and the results are compared with those obtained by well-known systems in the oil industry.
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Quenjel, El Houssaine. "Volumes finis/Eléments finis pour des écoulements diphasiques compressibles en milieux poreux hétérogènes et anisotropes." Thesis, Ecole centrale de Nantes, 2018. http://www.theses.fr/2018ECDN0059/document.

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Cette thèse est centrée autour du développement et de l'analyse des schémas volumes finis robustes afin d'approcher les solutions du modèle diphasique compressible en milieux poreux hétérogènes et anisotropes. Le modèle à deux phases compressibles comprend deux équations paraboliques dégénérées et couplées dont les variables principales sont la saturation du gaz et la pression globale. Ce système est discrétisé à l'aide de deux méthodes différentes (CVFE et DDFV) qui font partie de la famille des volumes finis. La première classe à laquelle on s'intéresse consiste à combiner la méthode des volumes finis et celle des éléments finis. Dans un premier temps, on considère un schéma volume finis upwind pour la partie convective et un schéma de type éléments finis conformes pour la diffusion capillaire. Sous l'hypothèse que les coefficients de transmissibilités sont positifs, on montre que la saturation vérifie le principe du maximum et on établit des estimations d'énergies permettant de démontrer la convergence du schéma. Dans un second temps, on a mis en place un schéma positif qui corrige le précédent. Ce schéma est basé sur une approximation des flux diffusifs par le schéma de Godunov. L'avantage est d'établir la bornitude des solutions approchées ainsi que les estimations uniformes sur les gradients discrets sans aucune contrainte ni sur le maillage ni sur la perméabilité. En utilisant des arguments classiques de compacité, on prouve rigoureusement la converge du schéma. Chaque schéma est validé par des simulations numériques qui montrent bien le comportement attendu d'une telle solution. Concernant la deuxième classe, on s'intéressera tout d'abord à la construction et à l'étude d'un nouveau schéma de type DDFV (Discrete Duality Finite Volume) pour une équation de diffusion non linéaire dégénérée. Cette méthode permet d' avantage de prendre en compte des maillages très généraux et des perméabilités quelconques. L'idée clé de cette discrétisation est d'approcher les flux dans la direction normale par un schéma centré et d'utiliser un schéma décentré dans la direction tangentielle. Par conséquent, on démontre que la solution approchée respecte les bornes physiques et on établit aussi des estimations d'énergie. La convergence du schéma est également établie. Des résultats numériques confirment bien ceux de la théorie. Ils exhibent en outre que la méthode est presque d'ordre deux
The objective of this thesis is the development and the analysis of robust and consistent numerical schemes for the approximation of compressible two-phase flow models in anisotropic and heterogeneous porous media. A particular emphasis is set on the anisotropy together with the geometric complexity of the medium. The mathematical problem is given in a system of two degenerate and coupled parabolic equations whose main variables are the nonwetting saturation and the global pressure. In view of the difficulties manifested in the considered system, its cornerstone equations are approximated with two different classes of the finite volume family. The first class consists of combining finite elements and finite volumes. Based on standard assumptions on the space discretization and on the permeability tensor, a rigorous convergence analysis of the scheme is carried out thanks to classical arguments. To dispense with the underlined assumptions on the anisotropy ratio and on the mesh, the model has to be first formulated in the factional flux formulation. Moreover, the diffusive term is discretized by a Godunov-like scheme while the convective fluxes are approximated using an upwind technique. The resulting scheme preserves the physical ranges of the computed solution and satisfies the coercivity property. Hence, the convergence investigation holds. Numerical results show a satisfactory qualitative behavior of the scheme even if the medium of interest is anisotropic. The second class allows to consider more general meshes and tensors. It is about a new positive nonlinear discrete duality finite volume method. The main point is to approximate a part of the fluxes using a non standard technique. The application of this ideato a nonlinear diffusion equation yields surprising results. Indeed,not only is the discrete maximum property fulfilled but also the convergence of the scheme is established. Practically, the proposed method shows great promises since it provides a positivity-preserving and convergent scheme with optimal convergence rates
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Zhang, Duo. "Lattice Boltzmann modelling of immiscible two-phase flows." Thesis, University of Liverpool, 2015. http://livrepository.liverpool.ac.uk/2038199/.

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The scope of the current thesis is the comprehensive understanding of the droplet impact and spreading dynamics on flat and curved surfaces with the aim of simulating high density ratio immiscible two phase flows in porous media. Understanding the dynamic behavior of droplet impingement onto solid substrate can provide significant information about the fluid flow dynamics in porous structures. The numerically study process will be realized by using a high density ratio multi-phase lattice Boltzmann model which is able to simulate multi-phase flows in complex systems. The interfacial information between the two immiscible phases can be captured without tracking or constructing the vapour-liquid interface. A three dimensional lattice Boltzmann model is applied on the study of the impaction of a liquid droplet on a dry flat surface for a liquid-gas system with large density ratio. The impaction of liquid droplet on a curved surface for the liquid-gas system with large density ratio and low kinematic viscosity of the fluid is computed by a two-dimensional multi-relaxation-time (MRT) interaction-potential-based lattice Boltzmann model based on the improved forcing scheme. The dynamics behaviors of the spreading of the liquid droplet on the flat surface as well as the impaction of the liquid droplet on a curved surface are computed, followed by their dependence on the Reynolds number, Weber number, Galilei number and surface characteristics. Moreover, an improved force scheme is proposed for the three-dimensional MRT pseudopotential lattice Boltzmann model which is based on the improved force scheme for the Single relaxation time (SRT) pseudopotential lattice Boltzmann model and the Chapman-Enskog analysis. The validation for the new developed three-dimensional multi-relaxation time lattice Boltzmann model is carried out through Laplace’s law ad by achieving thermodynamic consistency. In addition, the relationship between the fluid-solid interaction potential parameter Gw and the contact angle is investigated for the new developed three-dimensional MRT lattice Boltzmann model. The immiscible two-phase flow in porous media is carried out by a two dimensional MRT lattice Boltzmann model. The porous media structures with different geometrical properties are artificially generated by a Boolean model based on a random distribution of overlapping ellipses/circles. Furthermore, the impact of geometrical properties on the immiscible two-phase flows in porous media is investigated in the pore scale. The lattice Boltzmann model results provide significant information i on the interface between the two immiscible phases in complex systems, it is easy to apply for complex domains with bounce back boundary wall condition and be able to handle multi-phase and multi-component flows without tracing the interfaces between different phases.
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Strinopoulos, Theofilos Hou Thomas Y. "Upscaling immiscible two-phase flows in an adaptive frame /." Diss., Pasadena, Calif. : California Institute of Technology, 2006. http://resolver.caltech.edu/CaltechETD:etd-02192006-165348.

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Pi, Haohong. "Analyse expérimentale-numérique de l'écoulement diphasique dans des modèles de milieu poreux sur puce microfluidique." Electronic Thesis or Diss., Bordeaux, 2024. http://www.theses.fr/2024BORD0126.

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Les expériences de déplacement en milieu poreux sont la méthode habituellement utilisée pour étudier l'écoulement biphasique immiscible. Cependant, malgré les aspects de reproductibilité, un inconvénient majeur est que ces expériences de type "boîte noire" ne permettent pas d'observer et de capturer les phénomènes clés à l'échelle des pores, y compris les interactions interfaciales et les détails sur la mobilisation de l'huile piégée (par exemple, la taille et la distribution des ganglions résiduels). C'est pourquoi les dispositifs micromodèles microfluidiques sont désormais largement utilisés dans les expériences de récupération assistée d'huile (EOR) en laboratoire. Ils préservent les détails structurels de la roche tout en offrant des avantages tels que la facilité de nettoyage et la répétabilité. Le suivi visuel du déplacement des fluides est particulièrement important car il peut fournir plus de détails sur le comportement des phases mouillantes et non mouillantes dans les milieux poreux, aidant à élaborer des stratégies ciblées pour améliorer les taux de récupération du pétrole. Cette thèse explore la dynamique complexe des écoulements biphasiques immiscibles en combinant des modèles de milieux poreux microfluidiques, souvent appelés « réservoir-sur-puce », avec des simulations numériques.Dans nos expériences, nous avons utilisé des techniques morphologiques pour surveiller et enregistrer le comportement de déplacement dans un écoulement biphasique, en étudiant systématiquement les effets de différents nombres capillaires (Ca) et rapports de viscosité (M) sur les mécanismes d'écoulement et la mobilisation de l'huile résiduelle. Les résultats ont indiqué que pendant l'inondation par l'eau, le déplacement présentait des caractéristiques de doigté visqueux à des valeurs plus basses de Ca et M. En augmentant le débit pour améliorer Ca de dix fois, l'huile résiduelle montrait une invasion latérale et même arrière des chemins de flux sans changements significatifs dans la taille des grappes. Avec l'augmentation de M, la taille des grappes et la taille maximale des grappes ont diminué, conduisant à une distribution plus uniforme de l'huile résiduelle et à une Sor plus faible. Le mécanisme de mobilisation de l'huile résiduelle s'est manifesté par la rupture des ganglions, les nouveaux petits ganglions formés étant mobilisés sous des pressions plus élevées. La distribution des grappes d'huile résiduelle est conforme à la théorie de percolation, où l'exposant de mise à l'échelle τ est de 2,0. Tous les résultats expérimentaux pour Sor et les valeurs de Ca correspondantes se sont regroupés sur la courbe classique de désaturation capillaire (CDC).Les résultats expérimentaux ont servi de fondement pour développer un modèle numérique utilisant une approche de champ de phase. Ce modèle, basé sur le système d'équations de Cahn-Hilliard-Navier-Stokes, capture efficacement le comportement d'écoulement biphasique de fluides immiscibles dans des domaines confinés. Il intègre les équations de conservation de la masse et de la quantité de mouvement, enrichies par la dynamique de séparation de phase et les considérations d'énergie interfaciale. Les simulations numériques, exécutées sur la plateforme d'éléments finis en source ouverte Fenics, s'alignent qualitativement et quantitativement avec les observations expérimentales, confirmant la précision du modèle pour prédire les comportements fluidiques sous diverses conditions physiques, et avançant notre compréhension de la dynamique des fluides à l'échelle des pores. Les simulations se concentrent sur l'analyse de l'influence des propriétés des fluides et des conditions opérationnelles sur les mécanismes de déplacement à l'échelle des pores
The core-flood experiments are the usual method used to study the immiscible biphasic flow. However, beside reproducibility aspects, a significant drawback is that with these black box experiments, we cannot observe and capture key phenomena at the pore scale, including interfacial interactions and details about mobilization of the trapped oil (e.g. size and distribution of residual ganglia). This is why microfluidic micromodel devices are now extensively used in lab EOR experiments. They preserve the structural details of the rock while offering advantages such as easy cleaning and repeatability. Visual tracking of fluids displacement is particularly important as it can provide more details about the behavior of wetting and non-wetting phases in porous media, aiding in targeted strategies to enhance oil recovery rates. This thesis explores the intricate dynamics of immiscible two-phase flows combines microfluidic porous medium models, often referred to as “reservoir-on-a-chip”, with numerical simulations.In our experiments, we used morphological to monitor and record displacement behavior in biphasic flow, systematically studying the effects of different capillary numbers (Ca) and viscosity ratios (M) on the flow mechanisms and the mobilization of residual oil. The results indicated that during waterflooding, displacement exhibited characteristics of viscous fingering at lower Ca and M values. By increasing the flow rate to enhance Ca tenfold, the residual oil showing lateral and even backward invasion of flow paths without significant changes in cluster size. With increasing M, both the cluster size and the maximum cluster size decreased, leading to a more uniform distribution of residual oil and lower Sor. The mobilization mechanism of residual oil manifested as ganglia breakup, with newly formed smaller ganglia being mobilized under higher pressures. The distribution of residual oil clusters is consistent with percolation theory, where the scaling exponent τ is 2.0. All experimental results for Sor and corresponding Ca values collapsed onto the classical Capillary Desaturation Curve (CDC).The experimental findings served as a foundation for developing a numerical model using a phase-field approach. This model, based on the Cahn-Hilliard-Navier-Stokes system of equations, effectively captures the bi-phasic flow behavior of immiscible fluids within confined domains. It incorporates conservation of mass and momentum equations, enhanced by phase separation dynamics and interfacial energy considerations. The numerical simulations, executed on the open-source finite element platform Fenics, align qualitatively and quantitatively with experimental observations, affirming the accuracy of model in predicting fluid behaviors under varied physical conditions, advancing our understanding of pore-scale fluid dynamics. Simulations focus on dissecting the influence of fluid properties and operational conditions on the displacement mechanisms at the pore scale
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Books on the topic "Immiscible two-Phase flow"

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Corey, A. T. Mechanics of immiscible fluids in porous media. 2nd ed. Littleton, Colo., U.S.A: Water Resources Publications, 1986.

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Corey, A. T. Mechanics of immiscible fluids in porous media. 3rd ed. Highlands Ranch, Colo: Water Resources Publications, 1994.

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Corey, T. Arthur. Mechanics of Immiscible Fluids in Porous Media. 2nd ed. Water Resources Pubns, 1986.

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Weyer. Subsurface Contamination by Immiscible F. Taylor & Francis, 1993.

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Book chapters on the topic "Immiscible two-Phase flow"

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Tutkun, O. "Condensate Flow Pattern of Immiscible Liquid Mixtures." In Two-Phase Flow Heat Exchangers, 325–41. Dordrecht: Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-2790-2_9.

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Wang, Yuhang, and Saman A. Aryana. "Nonequilibrium Effects in Immiscible Two-Phase Flow." In Advances in Petroleum Engineering and Petroleum Geochemistry, 81–84. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-01578-7_20.

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Arbogast, Todd, Jim Douglas, and Juan E. Santos. "Two-Phase Immiscible Flow in Naturally Fractured Reservoirs." In Numerical Simulation in Oil Recovery, 47–66. New York, NY: Springer US, 1988. http://dx.doi.org/10.1007/978-1-4684-6352-1_3.

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Venkateshwarlu, Akepogu, and Ram Prakash Bharti. "Hydrodynamics of Two-Phase Immiscible Flow in T-Junction Microchannel." In Fluid Mechanics and Fluid Power, Volume 5, 267–75. Singapore: Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-6074-3_25.

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Kumar, Rohit, Chandan Nashine, Arman Mohaddin Nadaf, Harish Kumar Tomar, and Manmohan Pandey. "Experimental Investigation of Two-Phase Immiscible Liquid Flow Through a Microchannel." In Fluid Mechanics and Fluid Power, Volume 4, 553–62. Singapore: Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-7177-0_46.

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Guo, Feng, and Saman A. Aryana. "A Microfluidic Study of Immiscible Drainage Two-Phase Flow Regimes in Porous Media." In Advances in Petroleum Engineering and Petroleum Geochemistry, 73–75. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-01578-7_18.

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Cancès, Clément, and Flore Nabet. "Finite Volume Approximation of a Degenerate Immiscible Two-Phase Flow Model of Cahn–Hilliard Type." In Springer Proceedings in Mathematics & Statistics, 431–38. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-57397-7_36.

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Barros, W. Q., A. P. Pires, and Á. M. M. Peres. "Approximate Solution for One-Dimensional Compressible Two-Phase Immiscible Flow in Porous Media for Variable Boundary Conditions." In Integral Methods in Science and Engineering, 1–17. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-07171-3_1.

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Joseph, D. D., P. Singh, and K. Chen. "Couette Flows, Rollers, Emulsions, Tall Taylor Cells, Phase Separation and Inversion, and a Chaotic Bubble in Taylor-Couette Flow of Two Immiscible Liquids." In NATO ASI Series, 169–89. Boston, MA: Springer US, 1990. http://dx.doi.org/10.1007/978-1-4684-5793-3_17.

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Zhang, X. H., Q. J., and X. B. "Comparisons of Static, Quasi-Static and Dynamic 3D Porous Media Scale Network Models for Two-Phase Immiscible Flow in Porous Media." In New Trends in Fluid Mechanics Research, 530–33. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-75995-9_175.

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Conference papers on the topic "Immiscible two-Phase flow"

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Lunda, Filip, Simona Fialová, and Marcela Pírková. "Measurement of two-phase immiscible flow." In THE PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE ON MARITIME EDUCATION AND TRAINING (The 5th ICMET) 2021. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0121200.

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Ivanov, Denis Alexandrovich, and Mariela G. Araujo Fresky. "Dynamics of Two-Phase Immiscible Pulsed Flow." In SPE/DOE Symposium on Improved Oil Recovery. Society of Petroleum Engineers, 2006. http://dx.doi.org/10.2118/99678-ms.

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Mewes, Dieter, Martin Nadler, and Alexander Tokarz. "THE EFFECT OF EMULSIFICATION ON THE FLOW BEHAVIOUR OF TWO IMMISCIBLE LIQUIDS IN HORIZONTAL PIPES." In International Symposium on Liquid-Liquid Two Phase Flow and Transport Phenomena. Connecticut: Begellhouse, 1997. http://dx.doi.org/10.1615/ichmt.1997.intsymliqtwophaseflowtranspphen.100.

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HANYGA, A. "DYNAMICS OF IMMISCIBLE TWO-PHASE FLUID RESERVOIR FLOW." In Theoretical and Computational Acoustics 2003 - The Sixth International Conference (ICTCA). WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702609_0014.

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Bakhtiyarov, Sayavur I., and Dennis A. Siginer. "A NOTE ON THE LAMINAR CORE-ANNULAR FLOW OF TWO IMMISCIBLE FLUIDS IN A HORIZONTAL TUBE." In International Symposium on Liquid-Liquid Two Phase Flow and Transport Phenomena. Connecticut: Begellhouse, 1997. http://dx.doi.org/10.1615/ichmt.1997.intsymliqtwophaseflowtranspphen.110.

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Tanaka, M., Yoshimichi Hagiwara, T. None, M. Nakamura, and H. Hana. "AN EXPERIMENTAL STUDY ON THE INTERACTION BETWEEN AN IMMISCIBLE DROPLET AND A LIQUID TAYLOR-VORTEX FLOW." In International Symposium on Liquid-Liquid Two Phase Flow and Transport Phenomena. Connecticut: Begellhouse, 1997. http://dx.doi.org/10.1615/ichmt.1997.intsymliqtwophaseflowtranspphen.130.

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Tadrist, Lounes, and St Radev. "ANALYSIS OF NONPARALLEL FLOW EFFECTS ON THE INSTABILITY OF A CAPILLARY JET IN ANOTHER IMMISCIBLE FLUID." In International Symposium on Liquid-Liquid Two Phase Flow and Transport Phenomena. Connecticut: Begellhouse, 1997. http://dx.doi.org/10.1615/ichmt.1997.intsymliqtwophaseflowtranspphen.450.

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Lunda, F., S. Fialová, and M. Pírková. "Computational simulation of two-phase immiscible flow in horizontal pipeline." In Engineering Mechanics 2022. Institute of Theoretical and Applied Mechanics of the Czech Academy of Sciences, Prague, 2022. http://dx.doi.org/10.21495/51-2-241.

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Zhang, Weifeng, and Xiaohong Wang. "Optimal Ordering for Transport Equations in Immiscible Two-Phase Countercurrent Flow." In 2023 IEEE International Conference on Electrical, Automation and Computer Engineering (ICEACE). IEEE, 2023. http://dx.doi.org/10.1109/iceace60673.2023.10442464.

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Artus, V., and B. Noetinger. "Macrodispersion Approach for Upscaling of Two-Phase, Immiscible Flow in Heterogeneous Porous Media." In ECMOR VIII - 8th European Conference on the Mathematics of Oil Recovery. European Association of Geoscientists & Engineers, 2002. http://dx.doi.org/10.3997/2214-4609.201405942.

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