..., swapping is rarely required when the proposed triangulation algorithm is used. Then, the CVFE methods are validated against analytical solutions for the case of a single well in a bounded cylindrical reservoir and for the case of three wells in a bounded rectangular reservoir. We show that for low...

... and simplified well models for heterogeneous reservoirs are presented. 30 3 1992 25 5 1993 10 7 1993 1 2 1994 1 2 1994 Copyright 1994, Society of Petroleum Engineers analytical solution heterogeneous reservoir flow in porous media gridpoint peaceman exact well model...

... analytical solution for transient-flow problems is confirmed by comparison with numerical solutions. The flow behavior of a slightly compressible Bingham fluid is discussed, and a new well-test-analysis method is developed by use of the integral solution. To obtain some understanding of the physics...

... Copyright 1992, Society of Petroleum Engineers kazemi spe reservoir engineering fluid dynamics flow in porous media fractured reservoir upstream oil & gas reservoir transfer function swf analytical solution oil recovery empirical transfer function equation numerical solution...

...Yu-Shu Wu; Karsten Pruess Summary This paper presents a new analytical solution for wellbore heat transmission. Previous treatments of the wellbore heat-transfer problem are improved in several aspects: (1) nonhomogeneous formations are approximated as layered formations with different physical...

... cell Peclet numbers than those used with other common convective differencing schemes, resulting in a substantial saving in computation time for the same accuracy. Comparisons are made with analytical solutions and with 2D and 3D simulation results for single-point upstream weighting, two-point...

...A. Ted Watson; J. Michael Gatens, III; W. John Lee; Zillur Rahim Summary This paper presents a method for analyzing production data from naturally fractured gas reservoirs. A normalized time is used to modify analytical solutions to model gas flow in finite, dual-porosity reservoirs. Procedures...

...Leif A. Høyland; Paul Papatzacos; Svein M. Skjaeveland Summary Two methods are presented for predicting critical oil rate for bottomwater coning in anisotropic, homogeneous formations with the well completed from the top of the formation. The first method is based on an analytical solution where...

...J. S. Olarewaju; John W. Lee Summary This paper presents analytical solutions for interpreting pressure-transient tests for wells producing from a finite composite reservoir system. The paper also includes rate solutions and methods for analyzing long-term production data and forecasting production...

...G. K. Falade; W. E. Brigham Summary This paper presents some new close-form analytical solutions to equations describing radial transport of reactive tracers in porous media under conditions of tracer adsorption, nonuniform convection, and variable dispersion coefficient. Three different types...

...A. S. Odeh; D. K. Babu Summary Analytical solutions to the nonlinear partial-differential equation (PDE) that describes pressure behavior during the flow of slightly compressible fluid through porous media are presented. The solutions are compared with the generally accepted solutions...

... Engineers equation analytical solution radial convection timestep numerical solution dispersion problem boundary condition bessel function rd 0 spe reservoir engineering early time enhanced recovery numerical dispersion exp injection well laplace transform dispersion artificial...