Numerical investigation of dynamic capillary pressure in two-phase flow in porous medium

summary:In order to investigate effects of the dynamic capillary pressure-saturation relationship used in the modelling of a flow in porous media, a one-dimensional fully implicit numerical scheme is proposed. The numerical scheme is used to simulate an experimental procedure using a measured dataset for the sand and fluid properties. Results of simulations using different models for the dynamic effect term in capillary pressure-saturation relationship are presented and discussed

COMPUTATIONAL METHODOLOGY TO ANALYZE THE EFFECT OF MASS TRANSFER RATE ON ATTENUATION OF LEAKED CARBON DIOXIDE IN SHALLOW AQUIFERS

Exsolution and re-dissolution of CO2 gas within heterogeneous porous media are investigated using experimental data and mathematical modeling. In a set of bench-scale experiments, water saturated with CO2 under a given pressure is injected into a 2-D water-saturated porous media system, causing CO2 gas to exsolve and migrate upwards. A layer of fine sand mimicking a heterogeneity within a shallow aquifer is present in the tank to study accumulation and trapping of exsolved CO2. Then, clean water is injected into the system and the accumulated CO2 dissolves back into the flowing water. Simulated exsolution and dissolution mass transfer processes are studied using both nearequilibrium and kinetic approaches and compared to experimental data under conditions that do and do not include lateral background water flow. The mathematical model is based on the mixed hybrid finite element method that allows for accurate simulation of both advection- and diffusion- dominated processes

Numerical simulation of multicomponent compressible flow in porous medium

The paper deals with the numerical modeling of compressible single-phase flow of a mixture composed of several components in a porous medium. The mathematical model is formulated by means of Darcy's law, components continuity equations, constitutive relations, and appropriate initial and boundary conditions. The problem is solved numerically using a combination of the mixed-hybrid finite element method for Darcy's law discretization and the finite volume method for the discretization of the transport equations. This approach provides exact local mass balance. The time discretization is carried out by the Euler method. The resulting large system of nonlinear algebraic equations is solved by the Newton-Raphson iterative method. The dimensions of obtained system of linear algebraic equations are significantly reduced so that they do not depend on the number of mixture components. The convergence of the numerical scheme is verified on two problems of methane injection into a homogeneous 2D reservoir filled with propane which is horizontally or vertically oriented.MI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点

Mixed-hybrid finite element method for modelling two-phase flow in porous media

MI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」We propose a new numerical scheme for simulation of flow of two immiscible and incompressible phases in porous media. The method is based on a combination of the mixedhybrid finite element (MHFE) and discontinuous Galerkin (DG) methods. The combined approach allows for accurate approximation of the flux at the boundary between neighboring finite elements, especially in heterogeneous media. We extend the method proposed in [12] to simulate the nonwetting phase pooling at material interfaces. In order to show its applicability, the MHFE-DG method is tested against benchmark solutions and using laboratory data from literature

Numerical simulation of multicomponent compressible flow in porous medium

MI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」The paper deals with the numerical modeling of compressible single-phase flow of a mixture composed of several components in a porous medium. The mathematical model is formulated by means of Darcy\u27s law, components continuity equations, constitutive relations, and appropriate initial and boundary conditions. The problem is solved numerically using a combination of the mixed-hybrid finite element method for Darcy\u27s law discretization and the finite volume method for the discretization of the transport equations. This approach provides exact local mass balance. The time discretization is carried out by the Euler method. The resulting large system of nonlinear algebraic equations is solved by the Newton-Raphson iterative method. The dimensions of obtained system of linear algebraic equations are significantly reduced so that they do not depend on the number of mixture components. The convergence of the numerical scheme is verified on two problems of methane injection into a homogeneous 2D reservoir filled with propane which is horizontally or vertically oriented

Mixed-hybrid finite element method for modelling two-phase flow in porous media

We propose a new numerical scheme for simulation of flow of two immiscible and incompressible phases in porous media. The method is based on a combination of the mixedhybrid finite element (MHFE) and discontinuous Galerkin (DG) methods. The combined approach allows for accurate approximation of the flux at the boundary between neighboring finite elements, especially in heterogeneous media. We extend the method proposed in [12] to simulate the nonwetting phase pooling at material interfaces. In order to show its applicability, the MHFE-DG method is tested against benchmark solutions and using laboratory data from literature.MI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点

Impact of hop pellets storage on beer quality.

Experimental brews (50 L) of 12% all-malt pale lager beers were hopped either by fresh hops or by hop pellets stored in original packs at 20 oC for one year. Saaz and Premiant varieties were used. At the same dose of alpha acids, the beers hopped by aged hops had 2 B.U lower bitterness. Decreases of bitterness during beer storage were comparable. Carbonyl compounds content in both fresh beers and beers after 6 months storage depended on hop age. Beers from aged hops had higher content of Strecker aldehydes when fresh and higher increase of fatty acid carbonyls during storage. Both fresh and stored beers hopped by fresh hops scored marginally better in overall assessment compared to the beers hopped by old hops. Shelf life of beers hopped by fresh hops was markedly prolonged in comparison to aged hop application.Experimental brews (50 L) of 12% all-malt pale lager beers were hopped either by fresh hops or by hop pellets stored in original packs at 20 oC for one year. Saaz and Premiant varieties were used. At the same dose of alpha acids, the beers hopped by aged hops had 2 B.U lower bitterness. Decreases of bitterness during beer storage were comparable. Carbonyl compounds content in both fresh beers and beers after 6 months storage depended on hop age. Beers from aged hops had higher content of Strecker aldehydes when fresh and higher increase of fatty acid carbonyls during storage. Both fresh and stored beers hopped by fresh hops scored marginally better in overall assessment compared to the beers hopped by old hops. Shelf life of beers hopped by fresh hops was markedly prolonged in comparison to aged hop application