...John W. Barker; Sylvain Thibeau Summary The properties and limitations of different dynamic pseudorelative permeability methods are summarized. Severe difficulties common to all methods are discussed: choosing the number and locations of the coarse-grid rock types, defining the simulations from...

... showed (for uniform grid with uniform isotropic permeability) that (3) r e q r A B = ( L d G ) 2 exp [ 2 B ( α , S ) ] , where, a = Δ y/ Δ x, r AB is the distance between the Wells A and B, S is an integer that describes how far apart...

...Robert Eymard; Fernand Sonier Summary This paper presents the mathematical properties of a control-volume, finite-element (CVFE) scheme. We show that appropriate constraints on finite-element grids and convenient definitions for volumes and transmissibilities lead to a convergence property...

...-tube method that starts with 2D vertical cross sections with relatively fine grids, the second uses pseudo-relative permeabilities and also is based on 2D cross sections, and the third uses 3D distributions. A mature waterflood in a carbonate reservoir serves as a field test case. 28 2 1993 24...

...Larry S.-K. Fung; Lloyd Buchanan; Ravi Sharma Summary The flexible control-volume finite-element (CVFE) method is used to construct hybrid grids. The method involves use of a local cylindrical or elliptical grid to represent near-well flow accurately while honoring complex reservoir boundaries...

...C. L. Palagi; Khalid Aziz Summary This paper discusses the treatment of wells in a flexible Voronoi grid. A new model problem is proposed to evaluate exact well indices for multiwell configurations and homogeneous reservoirs. A simplified model also is proposed and discussed. New exact...

... 16 7 1991 3 9 1991 1 2 1993 1 2 1993 Copyright 1993, Society of Petroleum Engineers Block support-scale permeabilities are determined from Eq. 5 and a dense grid of core support-scale values generated by the simulation technique described next. Conditional...

...: local grid refinement with small timesteps and flux boundary conditions for simulating regions of special interest. The combined use of these techniques allowed flexible, non-time-consuming, user-friendly reservoir simulation of a variety of reservoir management scenarios for Troll field. Figure 1...

... flow potentials at the control-volume boundaries and uses the conservation equations for each control volume. The main advantage of the CVFE method over the finite-difference method is in the representation of complex reservoir geometries. In addition, desirable features, such as local grid refinement...

... fracture orientation flow in porous media thermal method eight-well model cold lake fracture angle well location modeling & simulation communication event tight streak reservoir simulation engineering grid relative permeability three-well model sagd spe reservoir engineering...

...Michel H. Garcia; André G. Journel; Khalid Aziz Summary An automatic grid-generation and -adjustment method is proposed to produce grids that may be used for finite-difference simulators. The resulting blocks are as homogeneous as possible with respect to specified parameters (e.g., porosity...

... equation grid discontinuity conservation law simulator upstream oil & gas saturation equation modeling & simulation fluid dynamics spe reservoir engineering numerical method timestep reservoir simulation saturation front february 1992 riemann problem rn 3 flow in porous media...

...Z. E. Helnemann; C. W. Brand; Margit Munka; Y. M. Chen Summary This paper describes a practical method in which irregular or locally irregular grids are used in reservoir simulation with the advantages of flexible approximation of reservoir geometry and reduced grid-orientation effects. Finite...

...Gautam S. Shiralkar; Robert E. Stephenson Summary This paper presents a general numerical formulation for simulating physical dispersion that avoids the convergence and grid-orientation problems associated with numerical dispersion. The formulation is applicable to a wide range of problems...

... fronts with negligible over- and undershoot. The scheme is generalized to multidimensions. Difference analogs have been derived for variable grid sizes for large-scale compositional simulations. Application to 3D miscible displacement problems and comparison with other standard industry methods have...

...Peter A. Forsyth Summary This paper describes a control-volume, finite-element technique for coupling coarse grids with local fine meshes. The pressure is treated in a finite-element manner, while the mobility terms are upstream weighted in the usual way. This requires identification of the cell...

... transmissibility kxxh principal axis nine-point method flow in porous media kyyh well-inflow model Peaceman SPE Reservoir Engineering enhanced recovery particular anisotropy anisotropy reservoir characterization kmaxlkmin anisotropic system grid permeability and (5) k x y...

... to examine them. where r k m 2 = ( x k − x m ) 2 + ( y k − y m ) 2 . In particular, the flowing well pressure for well m is given by Figure 2 Arbitrary collection of wells at center of grid. (6) ( k h / μ...

...M. A. Christie Summary This paper describes accurate numerical methods used to solve equations governing two-phase, three-component flow on a fine grid to obtain predictions of fingering behavior for both miscible and immiscible flows. The reasons for the choice of finite-difference scheme...

... use an uneconomical number of gridblocks and still do not represent the correct physical features. Nevertheless, the realistic simulation of faulted systems is essential for practical waterflood planning and consideration of EOR schemes. This paper presents an extension of a curvilinear grid technique...