The Experts below are selected from a list of 12948 Experts worldwide ranked by ideXlab platform
François P. Hamon - One of the best experts on this subject based on the ideXlab platform.
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Finite-volume simulation of capillary-dominated flow in matrix-fracture systems using interface conditions
Computational Geosciences, 2021Co-Authors: Ammar H. Alali, François P. Hamon, Bradley T. Mallison, Hamdi A. TchelepiAbstract:In numerical simulations of multiphase flow and transport in fractured porous media, the estimation of the hydrocarbon recovery requires accurately predicting the capillary-driven imbibition rate of the wetting phase initially present in the fracture into the low-permeability matrix. In the fully implicit finite-volume scheme, this entails a robust methodology that captures the capillary Flux at the interface between the matrix and the fracture even when very coarse cells are used to discretize the matrix. Here, we investigate the application of discrete interface conditions at the matrix-fracture interface to improve the accuracy of the Flux Computation without relying on extreme grid refinement. In particular, we study the interaction of the upwinding scheme with the discrete interface conditions. Considering first capillary-dominated spontaneous imbibition and then forced imbibition with viscous, buoyancy, and capillary forces, we illustrate the importance of the interface conditions to accurately capture the matrix-fracture Flux and correctly represent the flow dynamics in the problem.
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finite volume simulation of capillary dominated flow in matrix fracture systems using interface conditions
arXiv: Computational Engineering Finance and Science, 2019Co-Authors: Ammar H. Alali, François P. Hamon, Bradley T. Mallison, Hamdi A. TchelepiAbstract:In numerical simulations of multiphase flow and transport in fractured porous media, the estimation of the hydrocarbon recovery requires accurately predicting the capillary-driven imbibition rate of the wetting phase initially present in the fracture into the low-permeability matrix. In the fully implicit finite-volume scheme, this entails a robust methodology that captures the capillary Flux at the interface between the matrix and the fracture even when very coarse control volumes are used to discretize the matrix. Here, we investigate the application of discrete interface conditions at the matrix-fracture interface to improve the accuracy of the Flux Computation without relying on extreme grid refinement. In particular, we study the interaction of the upwinding scheme with the discrete interface conditions. Considering first capillary-dominated spontaneous imbibition and then forced imbibition with viscous, buoyancy, and capillary forces, we illustrate the importance of the interface conditions to accurately capture the matrix-fracture Flux and correctly represent the flow dynamics in the problem. This study, based on spatial refinement, is supported by a truncation error analysis.
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implicit hybrid upwinding for two phase flow in heterogeneous porous media with buoyancy and capillarity
Computer Methods in Applied Mechanics and Engineering, 2018Co-Authors: François P. Hamon, Bradley T. Mallison, Hamdi A. TchelepiAbstract:Abstract We consider the numerical solution of the partial differential equations governing multiphase flow in porous media . For highly nonlinear problems , the temporal discretization of choice is often the unconditionally stable fully implicit method. However, the nonlinear systems , often solved with Newton’s method, are difficult to solve. Thus, the Computational cost is strongly dependent on the nonlinear convergence rate, and enhancing this convergence property is key to speed up subsurface flow simulation. We focus on the case of spatially discontinuous capillary pressure between rock regions. To efficiently and accurately simulate the flow dynamics in heterogeneous porous media, the Flux Computation combines Implicit Hybrid Upwinding with transmission conditions between different rock regions. This leads to a scheme that correctly represents the trapping mechanisms while improving the nonlinear convergence. We extend our previous results (Hamon et al., 2016 [ 18 ]) by generalizing the scheme to fully implicit coupled flow and transport to address realistic problems in multiple dimensions. The generalized scheme is supported by an analysis of its mathematical properties . Our multidimensional numerical examples, which range from buoyancy-driven flow with capillary barriers to viscous-dominated flow, demonstrate that the Implicit Hybrid Upwinding scheme improves the accuracy compared to the standard phase-based upwinding scheme, while leading to significant reductions in the number of nonlinear iterations in multiple dimensions.
Hamdi A. Tchelepi - One of the best experts on this subject based on the ideXlab platform.
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Finite-volume simulation of capillary-dominated flow in matrix-fracture systems using interface conditions
Computational Geosciences, 2021Co-Authors: Ammar H. Alali, François P. Hamon, Bradley T. Mallison, Hamdi A. TchelepiAbstract:In numerical simulations of multiphase flow and transport in fractured porous media, the estimation of the hydrocarbon recovery requires accurately predicting the capillary-driven imbibition rate of the wetting phase initially present in the fracture into the low-permeability matrix. In the fully implicit finite-volume scheme, this entails a robust methodology that captures the capillary Flux at the interface between the matrix and the fracture even when very coarse cells are used to discretize the matrix. Here, we investigate the application of discrete interface conditions at the matrix-fracture interface to improve the accuracy of the Flux Computation without relying on extreme grid refinement. In particular, we study the interaction of the upwinding scheme with the discrete interface conditions. Considering first capillary-dominated spontaneous imbibition and then forced imbibition with viscous, buoyancy, and capillary forces, we illustrate the importance of the interface conditions to accurately capture the matrix-fracture Flux and correctly represent the flow dynamics in the problem.
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finite volume simulation of capillary dominated flow in matrix fracture systems using interface conditions
arXiv: Computational Engineering Finance and Science, 2019Co-Authors: Ammar H. Alali, François P. Hamon, Bradley T. Mallison, Hamdi A. TchelepiAbstract:In numerical simulations of multiphase flow and transport in fractured porous media, the estimation of the hydrocarbon recovery requires accurately predicting the capillary-driven imbibition rate of the wetting phase initially present in the fracture into the low-permeability matrix. In the fully implicit finite-volume scheme, this entails a robust methodology that captures the capillary Flux at the interface between the matrix and the fracture even when very coarse control volumes are used to discretize the matrix. Here, we investigate the application of discrete interface conditions at the matrix-fracture interface to improve the accuracy of the Flux Computation without relying on extreme grid refinement. In particular, we study the interaction of the upwinding scheme with the discrete interface conditions. Considering first capillary-dominated spontaneous imbibition and then forced imbibition with viscous, buoyancy, and capillary forces, we illustrate the importance of the interface conditions to accurately capture the matrix-fracture Flux and correctly represent the flow dynamics in the problem. This study, based on spatial refinement, is supported by a truncation error analysis.
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implicit hybrid upwinding for two phase flow in heterogeneous porous media with buoyancy and capillarity
Computer Methods in Applied Mechanics and Engineering, 2018Co-Authors: François P. Hamon, Bradley T. Mallison, Hamdi A. TchelepiAbstract:Abstract We consider the numerical solution of the partial differential equations governing multiphase flow in porous media . For highly nonlinear problems , the temporal discretization of choice is often the unconditionally stable fully implicit method. However, the nonlinear systems , often solved with Newton’s method, are difficult to solve. Thus, the Computational cost is strongly dependent on the nonlinear convergence rate, and enhancing this convergence property is key to speed up subsurface flow simulation. We focus on the case of spatially discontinuous capillary pressure between rock regions. To efficiently and accurately simulate the flow dynamics in heterogeneous porous media, the Flux Computation combines Implicit Hybrid Upwinding with transmission conditions between different rock regions. This leads to a scheme that correctly represents the trapping mechanisms while improving the nonlinear convergence. We extend our previous results (Hamon et al., 2016 [ 18 ]) by generalizing the scheme to fully implicit coupled flow and transport to address realistic problems in multiple dimensions. The generalized scheme is supported by an analysis of its mathematical properties . Our multidimensional numerical examples, which range from buoyancy-driven flow with capillary barriers to viscous-dominated flow, demonstrate that the Implicit Hybrid Upwinding scheme improves the accuracy compared to the standard phase-based upwinding scheme, while leading to significant reductions in the number of nonlinear iterations in multiple dimensions.
Bradley T. Mallison - One of the best experts on this subject based on the ideXlab platform.
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Finite-volume simulation of capillary-dominated flow in matrix-fracture systems using interface conditions
Computational Geosciences, 2021Co-Authors: Ammar H. Alali, François P. Hamon, Bradley T. Mallison, Hamdi A. TchelepiAbstract:In numerical simulations of multiphase flow and transport in fractured porous media, the estimation of the hydrocarbon recovery requires accurately predicting the capillary-driven imbibition rate of the wetting phase initially present in the fracture into the low-permeability matrix. In the fully implicit finite-volume scheme, this entails a robust methodology that captures the capillary Flux at the interface between the matrix and the fracture even when very coarse cells are used to discretize the matrix. Here, we investigate the application of discrete interface conditions at the matrix-fracture interface to improve the accuracy of the Flux Computation without relying on extreme grid refinement. In particular, we study the interaction of the upwinding scheme with the discrete interface conditions. Considering first capillary-dominated spontaneous imbibition and then forced imbibition with viscous, buoyancy, and capillary forces, we illustrate the importance of the interface conditions to accurately capture the matrix-fracture Flux and correctly represent the flow dynamics in the problem.
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finite volume simulation of capillary dominated flow in matrix fracture systems using interface conditions
arXiv: Computational Engineering Finance and Science, 2019Co-Authors: Ammar H. Alali, François P. Hamon, Bradley T. Mallison, Hamdi A. TchelepiAbstract:In numerical simulations of multiphase flow and transport in fractured porous media, the estimation of the hydrocarbon recovery requires accurately predicting the capillary-driven imbibition rate of the wetting phase initially present in the fracture into the low-permeability matrix. In the fully implicit finite-volume scheme, this entails a robust methodology that captures the capillary Flux at the interface between the matrix and the fracture even when very coarse control volumes are used to discretize the matrix. Here, we investigate the application of discrete interface conditions at the matrix-fracture interface to improve the accuracy of the Flux Computation without relying on extreme grid refinement. In particular, we study the interaction of the upwinding scheme with the discrete interface conditions. Considering first capillary-dominated spontaneous imbibition and then forced imbibition with viscous, buoyancy, and capillary forces, we illustrate the importance of the interface conditions to accurately capture the matrix-fracture Flux and correctly represent the flow dynamics in the problem. This study, based on spatial refinement, is supported by a truncation error analysis.
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implicit hybrid upwinding for two phase flow in heterogeneous porous media with buoyancy and capillarity
Computer Methods in Applied Mechanics and Engineering, 2018Co-Authors: François P. Hamon, Bradley T. Mallison, Hamdi A. TchelepiAbstract:Abstract We consider the numerical solution of the partial differential equations governing multiphase flow in porous media . For highly nonlinear problems , the temporal discretization of choice is often the unconditionally stable fully implicit method. However, the nonlinear systems , often solved with Newton’s method, are difficult to solve. Thus, the Computational cost is strongly dependent on the nonlinear convergence rate, and enhancing this convergence property is key to speed up subsurface flow simulation. We focus on the case of spatially discontinuous capillary pressure between rock regions. To efficiently and accurately simulate the flow dynamics in heterogeneous porous media, the Flux Computation combines Implicit Hybrid Upwinding with transmission conditions between different rock regions. This leads to a scheme that correctly represents the trapping mechanisms while improving the nonlinear convergence. We extend our previous results (Hamon et al., 2016 [ 18 ]) by generalizing the scheme to fully implicit coupled flow and transport to address realistic problems in multiple dimensions. The generalized scheme is supported by an analysis of its mathematical properties . Our multidimensional numerical examples, which range from buoyancy-driven flow with capillary barriers to viscous-dominated flow, demonstrate that the Implicit Hybrid Upwinding scheme improves the accuracy compared to the standard phase-based upwinding scheme, while leading to significant reductions in the number of nonlinear iterations in multiple dimensions.
Jacques Buffle - One of the best experts on this subject based on the ideXlab platform.
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metal Flux and dynamic speciation at bio interfaces part iv mhedyn a general code for metal Flux Computation application to particulate complexants and their mixtures with the other natural ligands
Environmental Science & Technology, 2008Co-Authors: Davide Alemani, Josep Galceran, Jacques Buffle, Zeshi Zhang, Bastien ChopardAbstract:Metal Flux at consuming interfaces (e.g., sensors or microorganisms) is simulated in environmental multiligand systems using a new numerical code, MHEDYN (Multispecies HEterogeneous DYNamics), base...
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metal Flux and dynamic speciation at bio interfaces part iii mhedyn a general code for metal Flux Computation application to simple and fulvic complexants
Environmental Science & Technology, 2008Co-Authors: Davide Alemani, Josep Galceran, Jacques Buffle, Zeshi Zhang, Bastien ChopardAbstract:Metal Flux at consuming interfaces (e.g., sensors or microorganisms) is simulated in environmental multiligand systems using a new numerical code, MHEDYN (Multispecies HEterogeneous DYNamics), based on the lattice Boltzmann method. The attention is focused on the Computation of the maximum Flux of Cu(II), that is, the Flux controlled by diffusion-reaction in solution, irrespective of processes occurring at the interface. In parts III and IV of this series, three types of typical environmental complexants are studied: (a) simple ligands (OH− and CO32−), (b) fulvic or humic substances including many sites with broadly varying rate constants, and (c) aggregates including a broad range of sizes and diffusion coefficients. Part III focuses on Computations in the presence of simple ligands and fulvic/humic substances separately, and part IV discusses the case of aggregate complexes alone and the mixtures of all ligands in typical natural waters. These papers describe the dynamic contribution of the various type...
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lbgk method coupled to time splitting technique for solving reaction diffusion processes in complex systems
Physical Chemistry Chemical Physics, 2005Co-Authors: Davide Alemani, Bastien Chopard, Josep Galceran, Jacques BuffleAbstract:A new approach to numerically solve a reaction-diffusion system is given, specifically developed for complex systems including many reacting/diffusing species with broad ranges of rate constants and diffusion coefficients, as well as complicated geometry of reacting interfaces. The approach combines a Lattice Boltzmann (LB) method with a splitting time technique. In the present work, the proposed approach is tested by focusing on the typical reaction process between a metal ion M and a ligand L, to form a complex ML with M being consumed at an electrode. The aim of the paper is to systematically study the convergence conditions of the associated numerical scheme. We find that the combination of LB with the time splitting method allows us to solve the problem for any value of association and dissociation rate constant of the reaction process. Also, the method can be extended to a mixture of ligands. We stress two main points: (1) the LB approach is particularly convenient for the Flux Computation of M and (2) the splitting time procedure is very well suited for reaction processes involving association–dissociation rate constants varying on many orders of magnitude.
Davide Alemani - One of the best experts on this subject based on the ideXlab platform.
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metal Flux and dynamic speciation at bio interfaces part iv mhedyn a general code for metal Flux Computation application to particulate complexants and their mixtures with the other natural ligands
Environmental Science & Technology, 2008Co-Authors: Davide Alemani, Josep Galceran, Jacques Buffle, Zeshi Zhang, Bastien ChopardAbstract:Metal Flux at consuming interfaces (e.g., sensors or microorganisms) is simulated in environmental multiligand systems using a new numerical code, MHEDYN (Multispecies HEterogeneous DYNamics), base...
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metal Flux and dynamic speciation at bio interfaces part iii mhedyn a general code for metal Flux Computation application to simple and fulvic complexants
Environmental Science & Technology, 2008Co-Authors: Davide Alemani, Josep Galceran, Jacques Buffle, Zeshi Zhang, Bastien ChopardAbstract:Metal Flux at consuming interfaces (e.g., sensors or microorganisms) is simulated in environmental multiligand systems using a new numerical code, MHEDYN (Multispecies HEterogeneous DYNamics), based on the lattice Boltzmann method. The attention is focused on the Computation of the maximum Flux of Cu(II), that is, the Flux controlled by diffusion-reaction in solution, irrespective of processes occurring at the interface. In parts III and IV of this series, three types of typical environmental complexants are studied: (a) simple ligands (OH− and CO32−), (b) fulvic or humic substances including many sites with broadly varying rate constants, and (c) aggregates including a broad range of sizes and diffusion coefficients. Part III focuses on Computations in the presence of simple ligands and fulvic/humic substances separately, and part IV discusses the case of aggregate complexes alone and the mixtures of all ligands in typical natural waters. These papers describe the dynamic contribution of the various type...
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lbgk method coupled to time splitting technique for solving reaction diffusion processes in complex systems
Physical Chemistry Chemical Physics, 2005Co-Authors: Davide Alemani, Bastien Chopard, Josep Galceran, Jacques BuffleAbstract:A new approach to numerically solve a reaction-diffusion system is given, specifically developed for complex systems including many reacting/diffusing species with broad ranges of rate constants and diffusion coefficients, as well as complicated geometry of reacting interfaces. The approach combines a Lattice Boltzmann (LB) method with a splitting time technique. In the present work, the proposed approach is tested by focusing on the typical reaction process between a metal ion M and a ligand L, to form a complex ML with M being consumed at an electrode. The aim of the paper is to systematically study the convergence conditions of the associated numerical scheme. We find that the combination of LB with the time splitting method allows us to solve the problem for any value of association and dissociation rate constant of the reaction process. Also, the method can be extended to a mixture of ligands. We stress two main points: (1) the LB approach is particularly convenient for the Flux Computation of M and (2) the splitting time procedure is very well suited for reaction processes involving association–dissociation rate constants varying on many orders of magnitude.