Reservoir modeling is playing an increasingly important role in developing and producing hydrocarbon reserves.In this paper,we provide a brief overview of some main challenges in reservoir modeling,i.e.,accurate and e...Reservoir modeling is playing an increasingly important role in developing and producing hydrocarbon reserves.In this paper,we provide a brief overview of some main challenges in reservoir modeling,i.e.,accurate and efficient modeling of complex reservoir geometry and heterogeneous reservoir properties.We then present modeling techniques we recently developed in addressing these challenges,including a method for generating constrained Voronoi grids and a generic global scale-up method.We focus on the Voronoi gridding method,which is based on a new constrained Delaunay triangulation algorithm and a rigorous method of adapting Voronoi grids to piecewise linear constraints.The global scale-up method based on generic flows is briefly described.Numerical examples are provided to demonstrate the techniques and the advantage of combining them in constructing accurate and efficient reservoir models.展开更多
In this paper,we propose a robust finite volume scheme to numerically solve the shallow water equations on complex rough topography.The major difficulty of this problem is introduced by the stiff friction force term a...In this paper,we propose a robust finite volume scheme to numerically solve the shallow water equations on complex rough topography.The major difficulty of this problem is introduced by the stiff friction force term and the wet/dry interface tracking.An analytical integration method is presented for the friction force term to remove the stiffness.In the vicinity of wet/dry interface,the numerical stability can be attained by introducing an empirical parameter,the water depth tolerance,as extensively adopted in literatures.We propose a problem independent formulation for this parameter,which provides a stable scheme and preserves the overall truncation error of δ(Δx^(3)).The method is applied to solve problems with complex rough topography,coupled with h-adaptive mesh techniques to demonstrate its robustness and efficiency.展开更多
We develop a framework for constructing mixed multiscale finite volume methods for elliptic equations with multiple scales arising from flows in porous media.Some of the methods developed using the framework are alrea...We develop a framework for constructing mixed multiscale finite volume methods for elliptic equations with multiple scales arising from flows in porous media.Some of the methods developed using the framework are already known[20];others are new.New insight is gained for the known methods and extra flexibility is provided by the new methods.We give as an example a mixed MsFV on uniform mesh in 2-D.This method uses novel multiscale velocity basis functions that are suited for using global information,which is often needed to improve the accuracy of the multiscale simulations in the case of continuum scales with strong non-local features.The method efficiently captures the small effects on a coarse grid.We analyze the new mixed MsFV and apply it to solve two-phase flow equations in heterogeneous porous media.Numerical examples demonstrate the accuracy and efficiency of the proposed method for modeling the flows in porous media with non-separable and separable scales.展开更多
文摘Reservoir modeling is playing an increasingly important role in developing and producing hydrocarbon reserves.In this paper,we provide a brief overview of some main challenges in reservoir modeling,i.e.,accurate and efficient modeling of complex reservoir geometry and heterogeneous reservoir properties.We then present modeling techniques we recently developed in addressing these challenges,including a method for generating constrained Voronoi grids and a generic global scale-up method.We focus on the Voronoi gridding method,which is based on a new constrained Delaunay triangulation algorithm and a rigorous method of adapting Voronoi grids to piecewise linear constraints.The global scale-up method based on generic flows is briefly described.Numerical examples are provided to demonstrate the techniques and the advantage of combining them in constructing accurate and efficient reservoir models.
文摘In this paper,we propose a robust finite volume scheme to numerically solve the shallow water equations on complex rough topography.The major difficulty of this problem is introduced by the stiff friction force term and the wet/dry interface tracking.An analytical integration method is presented for the friction force term to remove the stiffness.In the vicinity of wet/dry interface,the numerical stability can be attained by introducing an empirical parameter,the water depth tolerance,as extensively adopted in literatures.We propose a problem independent formulation for this parameter,which provides a stable scheme and preserves the overall truncation error of δ(Δx^(3)).The method is applied to solve problems with complex rough topography,coupled with h-adaptive mesh techniques to demonstrate its robustness and efficiency.
文摘We develop a framework for constructing mixed multiscale finite volume methods for elliptic equations with multiple scales arising from flows in porous media.Some of the methods developed using the framework are already known[20];others are new.New insight is gained for the known methods and extra flexibility is provided by the new methods.We give as an example a mixed MsFV on uniform mesh in 2-D.This method uses novel multiscale velocity basis functions that are suited for using global information,which is often needed to improve the accuracy of the multiscale simulations in the case of continuum scales with strong non-local features.The method efficiently captures the small effects on a coarse grid.We analyze the new mixed MsFV and apply it to solve two-phase flow equations in heterogeneous porous media.Numerical examples demonstrate the accuracy and efficiency of the proposed method for modeling the flows in porous media with non-separable and separable scales.
