To provide an accurate model of heavy oil steam displacement processes. The primary advantage of this model over other state-of-the-art models is that it does not exhibit grid orientation effects. Serious grid effects ...

The purpose of this paper is to provide a user's introduction to the basic ideas currently favored in nonlinear optimization routines by numerical analysts. The primary focus will be on the unconstrained problem because ...

To date, programming language research has made several major contributions to the support of high speed computing. First, highly optimizing compilers have permitted the programmer to write in a high level language without ...

Although it has many flaws by comparison with more modern programming languages, Fortran remains the standard language for numerical programming - partly because there is a large body of important software coded in it, partly because good optimizing compilers can be written for it, and partly because it is reasonably easy to transport Fortran programs from one machine to another. The numerical analysis community has developed reliable packages of subroutines to solve various kinds of problems (e.g. LINPACK, EISPACK and MINPACK) and these packages are widely distributed. Yet, in spite of its popularity, most of the sophisticated new tools for program development have not been extended to support it. As a part of the R^n project at Rice University, we are building a retargetable interactive programming environment for Fortran. At the heart of the environment is project management software that maintains a data base on all the program modules. The data base contains not only the source for each module in the system but also related information such as the composition of programs, cross-module procedure call information, interprocedural data flow information, and specifications for calls to existing procedures. The data base is used by all the other tools in the environment: an intelligent editor that knows enough Fortran to assist the user in preparing programs, an interactive source-level debugging system, and an optimizing compiler with extensive interprocedural analysis. Of particular interest, because of our previous work on compiler optimization, is the assistance such a system can give to interprocedural data flow analysis and optimization. Because all the modules of a program are saved in the data base, the information needed to analyze data flow effects and improve code across procedure boundaries is conveniently available to the optimizing compiler. Thus, the environment will permit us to build compilation systems which optimize the program as a whole rather than module by module - something which has not been possible with conventional compilation techniques....

The sensitivity of a numerical steamflooding model with respect to mobility weighting is examined in depth. Three numerical discretization procedures are used in this investigation: a new numerical scheme, a five point ...

In this paper, we suggest a generalized Gauss-Seidel approach to sparse linear and nonlinear least-squares problems. The algorithm, closely related to one given by Elfving (1980), uses the work of Curtis, Powell, and Reid ...

The use of the DFP or the BFGS secant updates requires the Hessian at the solution to be positive definite. The second order sufficiency conditions insure the positive definiteness only in a subspace of R^n. Conditions are ...

Crossflooding techniques have the potential for increasing the ultimate oil yield in secondary or tertiary recovery operations. At least one field scale pilot study of crossflooding in a reservoir undergoing a steamflood ...