In the traditional numerical reservoir simulations, the internodal transmissibility is usually defined as the harmonic mean of the permeabilities of the adjacent grids. This definition underestimates the phase flux and the speed of the saturation front, especially for the strong heterogeneous case. In this article, the internodal transmissibility is recalculated according to the nodal analytic solution. The redefined internodal transmissibility can be used directly to calculate the multiphase flow in the numerical reservoir simulations. Numerical examples show that, compared to the traditional numerical methods, the proposed scheme makes the convergences much faster as the refinement parameter increases, and the accuracy is independent of the heterogeneity. calculated from the relation (21) rather than the traditional harmonic mean algorithm. NUMERICAL EXAMPLES Example Ia test from SPE comparative solution projectA test from SPE Comparative Solution Project [11] is performed here. The model is a two-phase (oil and gas) flow, where fluids are assumed to be incompressible and immiscible. The oil is displaced by the gas from the injection well to the producing well. The simulation area is 762 m long, 7.62 m wide and 15.24 m thick. The grid system is of 100 × 1 × 20 uniform cubic cells. Thus, Δx = 7.62m, Δy = 7.62m and Δz = 0.762m. It is in fact a 2D case. Other conditions, such as the permeability distribution, porosity, viscosities, densities and the relative permeability curve, can be found in the corresponding website (http://www.spe.org/web/csp/datasets/set01.htm). The gas is injected from a well located at the cell (1,1,10) and the dead oil is produced from a well located at the cell 84 X.-L. ZHENG ET AL.
Metallic-phase transition-metal dichalcogenides (TMDCs) exhibit unusual physicochemical properties compared with their semiconducting counterparts. However, they are thermodynamically unstable to access and it is even more challenging to construct their metastable-phase heterostructures. Herein, we demonstrate a general solution protocol for phase-controlled synthesis of distorted octahedral 1T WS 2 -based (1T structure denotes an octahedral coordination for W atom) multidimensional hybrid nanostructures from two-dimensional (2D), one-dimensional (1D), and zero-dimensional (0D) templates. This is realized by tuning the reactivity of tungsten precursor and the interaction between crystal surface and ligands. As a conceptual study on crystal phase-and dimensionality-dependent applications, we find that the three-dimensional (3D) hierarchical architectures achieved, comprising 1T WS 2 and 2D Ni 3 S 4 , are very active and stable for catalyzing hydrogen evolution. Our results open up a new way to rationally design phase-controlled nanostructures with increased complexity and more elaborate functionalities.
Numerical investigation of large thick and low Reynolds airfoil of wind turbines by mounting indented Gurney flaps was carried out. The influenced rules of the position of Gurney flaps on the aerodynamic performance of airfoil under same height of flaps were achieved, and the optimal position of Gurney flap was presented. At last, the mechanism of wind turbine performance controlled by Gurney flap was discussed. The results can provide the theoretical guidance and technical support to wind turbines control in practical engineering.
For the internodal absolute permeabilities of flow in heterogeneous porous media, the most popular method is harmonic means, but it has been known that the harmonic mean method underestimate the flux of the single phase steady flow, especially for the strong heterogeneities. Based on the power-law behaviour of pressure, a finite analytic numerical method is proposed for two phase incompressible flow in 2D heterogeneous porous media. Numerical example shows that the finite can obtain more accurate value than traditional numerical methods such as the harmonic average method and so on, for different permeability distributions, only with or subdivisions can provide rather accurate solutions while traditional numerical methods need very small scale grids.
Finite element equations are introduced when the wet deformation is considered under Coupled Deformation and Seepage Fields. The principle of the initial stress increment method, by which the wet deformation can be calculated, is detailed dealt with. One earth-rock dam is stimulated by finite element method during water storage. By applying nonlinearity elastic model, give the discussions on the impact on stress field and displacement field by the wet deformation. The results show that the wet deformation weakens the uplift by buoyancy. Those results gained by numerical method may provide reference to engineering practice.
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