Wheeler, Mary F. (Mary Fanett)
Overview
Works:  35 works in 98 publications in 2 languages and 916 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Author, ed, Other 
Classifications:  GE5, 628.015118 
Publication Timeline
.
Most widely held works by
Mary F Wheeler
Environmental studies : mathematical, computational, and statistical analysis by
Mary F Wheeler(
Book
)
12 editions published in 1996 in English and Italian and held by 208 WorldCat member libraries worldwide
Environmental protection has become a universal issue with worldwide support. Environmental studies have now bridged the realms of academic research and societal applications. Mathematical modeling and largescale data collection and analysis lie at the core of all environmental studies. Unfortunately, scientists, mathematicians, and engineers immersed in developing and applying environmental models, computational methods, statistical techniques and computational hardware advance with separate and often discordant paces. The volume is based on recent research designed to provide a much needed interdisciplinary forum for joint exploration of recent advances in this field
12 editions published in 1996 in English and Italian and held by 208 WorldCat member libraries worldwide
Environmental protection has become a universal issue with worldwide support. Environmental studies have now bridged the realms of academic research and societal applications. Mathematical modeling and largescale data collection and analysis lie at the core of all environmental studies. Unfortunately, scientists, mathematicians, and engineers immersed in developing and applying environmental models, computational methods, statistical techniques and computational hardware advance with separate and often discordant paces. The volume is based on recent research designed to provide a much needed interdisciplinary forum for joint exploration of recent advances in this field
Numerical simulation in oil recovery by M.F Wheeler(
Book
)
12 editions published between 1987 and 1988 in English and held by 174 WorldCat member libraries worldwide
12 editions published between 1987 and 1988 in English and held by 174 WorldCat member libraries worldwide
Wave propagation and inversion(
Book
)
5 editions published in 1992 in English and held by 94 WorldCat member libraries worldwide
5 editions published in 1992 in English and held by 94 WorldCat member libraries worldwide
Computational methods in geosciences by
W. E Fitzgibbon(
Book
)
6 editions published in 1992 in English and held by 91 WorldCat member libraries worldwide
6 editions published in 1992 in English and held by 91 WorldCat member libraries worldwide
Modeling and analysis of diffusive and advective processes in geosciences(
Book
)
6 editions published in 1992 in English and held by 80 WorldCat member libraries worldwide
6 editions published in 1992 in English and held by 80 WorldCat member libraries worldwide
Next generation environmental models and computational methods by
George Delic(
Book
)
6 editions published in 1997 in English and held by 69 WorldCat member libraries worldwide
6 editions published in 1997 in English and held by 69 WorldCat member libraries worldwide
Simulation of flow in porous media : applications in energy and environment by
Johannes Kraus(
Book
)
1 edition published in 2013 in English and held by 38 WorldCat member libraries worldwide
"This book is the first volume of a three volume series recording the 'Radon Special Semester 2011 on Multiscale Simulation and Analysis in Energy and Environment' taking place in Linz, Austria, October 37, 2011." BOOK JACKET
1 edition published in 2013 in English and held by 38 WorldCat member libraries worldwide
"This book is the first volume of a three volume series recording the 'Radon Special Semester 2011 on Multiscale Simulation and Analysis in Energy and Environment' taking place in Linz, Austria, October 37, 2011." BOOK JACKET
Modelling and simulation in fluid dynamics in porous media by José A Ferreira(
Book
)
6 editions published between 2012 and 2013 in English and held by 12 WorldCat member libraries worldwide
This volume presents a selection of survey and research articles based on invited lectures and contributed talks presented at the Workshop on Fluid Dynamics in Porous Media that was held in Coimbra, Portugal, in September 1214, 2011. The contributions are devoted to mathematical modeling, numerical simulation and their applications, providing the readers a stateoftheart overview on the latest findings and new challenges on the topic. The book includes research work of worldwide recognized leaders in their respective fields and presents advances in both theory and applications, making it appealing to a vast range of audience, in particular mathematicians, engineers and physicists
6 editions published between 2012 and 2013 in English and held by 12 WorldCat member libraries worldwide
This volume presents a selection of survey and research articles based on invited lectures and contributed talks presented at the Workshop on Fluid Dynamics in Porous Media that was held in Coimbra, Portugal, in September 1214, 2011. The contributions are devoted to mathematical modeling, numerical simulation and their applications, providing the readers a stateoftheart overview on the latest findings and new challenges on the topic. The book includes research work of worldwide recognized leaders in their respective fields and presents advances in both theory and applications, making it appealing to a vast range of audience, in particular mathematicians, engineers and physicists
An H 1 Galerkin method for parabolic problems in a single space variable by
Mary F Wheeler(
Book
)
4 editions published between 1974 and 1975 in English and Undetermined and held by 5 WorldCat member libraries worldwide
4 editions published between 1974 and 1975 in English and Undetermined and held by 5 WorldCat member libraries worldwide
A Galerkin Procedure for Approximating the Flux on the Boundary for Elliptic and Parabolic Boundary Value Problems by
Jim Douglas(
Book
)
5 editions published in 1974 in English and Undetermined and held by 4 WorldCat member libraries worldwide
Elliptic and parabolic boundary value problems are first solved approximately on a rectangle and then simple auxiliary calculations are performed on the Galerkin solution to produce higher order correct approximations to the boundary flux than arise from the straightforward differentiation of the Galerkin solution. L sup 2 boundary and L sup infinity estimates are derived for the error. (Author)
5 editions published in 1974 in English and Undetermined and held by 4 WorldCat member libraries worldwide
Elliptic and parabolic boundary value problems are first solved approximately on a rectangle and then simple auxiliary calculations are performed on the Galerkin solution to produce higher order correct approximations to the boundary flux than arise from the straightforward differentiation of the Galerkin solution. L sup 2 boundary and L sup infinity estimates are derived for the error. (Author)
A quasiprojection approximation method applied to Galerkin procedures for parabolic and hyperbolic equations by
Jim Douglas(
Book
)
5 editions published in 1974 in English and Undetermined and held by 4 WorldCat member libraries worldwide
A technical method of approximating the Galerkin approximation to solutions of parabolic and hyperbolic equations can be based on a finite sequence of elliptic projections. The resulting function is called a quasiprojection, and it is used to study superconvergence phenomena associated with the Galerkin procedures
5 editions published in 1974 in English and Undetermined and held by 4 WorldCat member libraries worldwide
A technical method of approximating the Galerkin approximation to solutions of parabolic and hyperbolic equations can be based on a finite sequence of elliptic projections. The resulting function is called a quasiprojection, and it is used to study superconvergence phenomena associated with the Galerkin procedures
Some superconvergence results for an H¹Galerkin procedure for the heat equation by
Jim Douglas(
Book
)
3 editions published in 1973 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1973 in English and held by 3 WorldCat member libraries worldwide
Galerkin methods for miscible displacement problems in porous media by
Richard E Ewing(
Book
)
3 editions published in 1979 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1979 in English and held by 3 WorldCat member libraries worldwide
Resource recovery, confinement, and remediation of environmental hazards by
John M Chadam(
)
3 editions published in 2002 in English and held by 3 WorldCat member libraries worldwide
The papers in this volume arose out of two workshops entitled "Confinement and Remediation of Environmental Hazards," and "Resource Recovery," as part of the IMA 19992000 program year. These workshops brought together mathematicians, engineers and scientists to summarize recent theoretical, computational, and experimental advances in the theory of phenomena in porous media. The first workshop focused on the mathematical problems which arise in groundwater transport of contamination, and the spreading, confinement and remediation of biological, chemical and radioactive waste. In the second conference, the processes underlying petroleum recovery and the geological time scale of deformation, flow and reaction in porous media were discussed. Simulation techniques were used to simulate complex domains with widelyranging spatial resolution and types of physics. Probability funcional methods for determining the most probable state of the subsurface and related uncertainty were discussed. Practical examples included breakout from chemical and radioactive waste repositories, confinement by injection of pore plugging material and bioremediation of petroleum and other wastes. This volume will be of interest to subsurface science practitioners who would like a view of recent mathematical and experimental efforts to examine subsurface science phenomena related to resource recovery and remediation issues
3 editions published in 2002 in English and held by 3 WorldCat member libraries worldwide
The papers in this volume arose out of two workshops entitled "Confinement and Remediation of Environmental Hazards," and "Resource Recovery," as part of the IMA 19992000 program year. These workshops brought together mathematicians, engineers and scientists to summarize recent theoretical, computational, and experimental advances in the theory of phenomena in porous media. The first workshop focused on the mathematical problems which arise in groundwater transport of contamination, and the spreading, confinement and remediation of biological, chemical and radioactive waste. In the second conference, the processes underlying petroleum recovery and the geological time scale of deformation, flow and reaction in porous media were discussed. Simulation techniques were used to simulate complex domains with widelyranging spatial resolution and types of physics. Probability funcional methods for determining the most probable state of the subsurface and related uncertainty were discussed. Practical examples included breakout from chemical and radioactive waste repositories, confinement by injection of pore plugging material and bioremediation of petroleum and other wastes. This volume will be of interest to subsurface science practitioners who would like a view of recent mathematical and experimental efforts to examine subsurface science phenomena related to resource recovery and remediation issues
Discontinuous Galerkin finite element methods applied to twophase, airwater flow problems by Owen John Eslinger(
)
1 edition published in 2005 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2005 in English and held by 2 WorldCat member libraries worldwide
Discontinuous Galerkin finite element solution for poromechanics by
Ruijie Liu(
)
1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide
Balancing domain decomposition for mixed finite elements by
Lawrence Cowsar(
Book
)
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
Analysis of realtime reservoir monitoring : reservoirs, strategies, & modeling by Scott Patrick Cooper(
Book
)
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
The project objective was to detail better ways to assess and exploit intelligent oil and gas field information through improved modeling, sensor technology, and process control to increase ultimate recovery of domestic hydrocarbons. To meet this objective we investigated the use of permanent downhole sensors systems (Smart Wells) whose data is fed realtime into computational reservoir models that are integrated with optimized production control systems. The project utilized a threepronged approach (1) a value of information analysis to address the economic advantages, (2) reservoir simulation modeling and control optimization to prove the capability, and (3) evaluation of new generation sensor packaging to survive the borehole environment for long periods of time. The Value of Information (VOI) decision tree method was developed and used to assess the economic advantage of using the proposed technology; the VOI demonstrated the increased subsurface resolution through additional sensor data. Our findings show that the VOI studies are a practical means of ascertaining the value associated with a technology, in this case application of sensors to production. The procedure acknowledges the uncertainty in predictions but nevertheless assigns monetary value to the predictions. The best aspect of the procedure is that it builds consensus within interdisciplinary teams The reservoir simulation and modeling aspect of the project was developed to show the capability of exploiting sensor information both for reservoir characterization and to optimize control of the production system. Our findings indicate history matching is improved as more information is added to the objective function, clearly indicating that sensor information can help in reducing the uncertainty associated with reservoir characterization. Additional findings and approaches used are described in detail within the report. The next generation sensors aspect of the project evaluated sensors and packaging survivability issues. Our findings indicate that packaging represents the most significant technical challenge associated with application of sensors in the downhole environment for long periods (5+ years) of time. These issues are described in detail within the report. The impact of successful reservoir monitoring programs and coincident improved reservoir management is measured by the production of additional oil and gas volumes from existing reservoirs, revitalization of nearly depleted reservoirs, possible reestablishment of already abandoned reservoirs, and improved economics for all cases. Smart Well monitoring provides the means to understand how a reservoir process is developing and to provide active reservoir management. At the same time it also provides data for developing highfidelity simulation models. This work has been a joint effort with Sandia National Laboratories and UTAustin's Bureau of Economic Geology, Department of Petroleum and Geosystems Engineering, and the Institute of Computational and Engineering Mathematics
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
The project objective was to detail better ways to assess and exploit intelligent oil and gas field information through improved modeling, sensor technology, and process control to increase ultimate recovery of domestic hydrocarbons. To meet this objective we investigated the use of permanent downhole sensors systems (Smart Wells) whose data is fed realtime into computational reservoir models that are integrated with optimized production control systems. The project utilized a threepronged approach (1) a value of information analysis to address the economic advantages, (2) reservoir simulation modeling and control optimization to prove the capability, and (3) evaluation of new generation sensor packaging to survive the borehole environment for long periods of time. The Value of Information (VOI) decision tree method was developed and used to assess the economic advantage of using the proposed technology; the VOI demonstrated the increased subsurface resolution through additional sensor data. Our findings show that the VOI studies are a practical means of ascertaining the value associated with a technology, in this case application of sensors to production. The procedure acknowledges the uncertainty in predictions but nevertheless assigns monetary value to the predictions. The best aspect of the procedure is that it builds consensus within interdisciplinary teams The reservoir simulation and modeling aspect of the project was developed to show the capability of exploiting sensor information both for reservoir characterization and to optimize control of the production system. Our findings indicate history matching is improved as more information is added to the objective function, clearly indicating that sensor information can help in reducing the uncertainty associated with reservoir characterization. Additional findings and approaches used are described in detail within the report. The next generation sensors aspect of the project evaluated sensors and packaging survivability issues. Our findings indicate that packaging represents the most significant technical challenge associated with application of sensors in the downhole environment for long periods (5+ years) of time. These issues are described in detail within the report. The impact of successful reservoir monitoring programs and coincident improved reservoir management is measured by the production of additional oil and gas volumes from existing reservoirs, revitalization of nearly depleted reservoirs, possible reestablishment of already abandoned reservoirs, and improved economics for all cases. Smart Well monitoring provides the means to understand how a reservoir process is developing and to provide active reservoir management. At the same time it also provides data for developing highfidelity simulation models. This work has been a joint effort with Sandia National Laboratories and UTAustin's Bureau of Economic Geology, Department of Petroleum and Geosystems Engineering, and the Institute of Computational and Engineering Mathematics
Nonlinear KrylovSecant Solvers(
)
1 edition published in 2006 in English and held by 0 WorldCat member libraries worldwide
This report describes a new family of NewtonKrylov methods for solving nonlinear systems of equations arising from the solution of Richards' equation and in fully implicit formulations in airwater systems. The approach is to perform secant (Broyden) updates restricted to the Krylov subspace generated by the GMRES iterative solver. This approach is introduced as Krylovsecant methods. One of the most attractive features of these methods is their performance of sequence of rankone updates without explicitly recalling the computation or action of the Jacobian matrix. Implications of these updates in linesearch globalization strategies, computation dynamic tolerances (forcing terms) and the use of preconditioning strategies are presented. Numerical results show improvements over traditional implementations
1 edition published in 2006 in English and held by 0 WorldCat member libraries worldwide
This report describes a new family of NewtonKrylov methods for solving nonlinear systems of equations arising from the solution of Richards' equation and in fully implicit formulations in airwater systems. The approach is to perform secant (Broyden) updates restricted to the Krylov subspace generated by the GMRES iterative solver. This approach is introduced as Krylovsecant methods. One of the most attractive features of these methods is their performance of sequence of rankone updates without explicitly recalling the computation or action of the Jacobian matrix. Implications of these updates in linesearch globalization strategies, computation dynamic tolerances (forcing terms) and the use of preconditioning strategies are presented. Numerical results show improvements over traditional implementations
Mathematical and algorithmic issues in multiphysics coupling(
)
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
The modeling of fluid/structure interaction is of growing importance in both energy and environmental applications. Because of the inherent complexity, these problems must be simulated on parallel machines in order to achieve high resolution. The purpose of this research was to investigate techniques for coupling flow and geomechanics in porous media that are suitable for parallel computation. In particular, our main objective was to develop an iterative technique which can be as accurate as a fully coupled model but which allows for robust and efficient coupling of existing complex models (software). A parallel linear elastic module was developed which was coupled to a three phase threecomponent black oil model in IPARS (Integrated Parallel Accurate Reservoir Simulator). An iterative decoupling technique was introduced at each time step. The resulting nonlinear iteration involved solving for displacements and flow sequentially. Rock compressibility was used in the flow model to account for the effect of deformation on the pore volume. Convergence was achieved when the mass balance for each component satisfied a given tolerance. This approach was validated by comparison with a fully coupled approach implemented in the British PetroledAmoco ACRES simulator. Another objective of this work was to develop an efficient parallel solver for the elasticity equations. A preconditioned conjugate gradient solver was implemented to solve the algebraic system arising from tensor product linear Galerkin approximations for the displacements. Three preconditioners were developed: LSOR (line successive overrelaxation), block Jacobi, and agglomeration multigrid. The latter approach involved coarsening the 3D system to 2D and using LSOR as a smoother that is followed by applying geometric multigrid with SOR (successive overrelaxation) as a smoother. Preliminary tests on a 64node Beowulf cluster at CSM indicate that the agglomeration multigrid approach is robust and efficient
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
The modeling of fluid/structure interaction is of growing importance in both energy and environmental applications. Because of the inherent complexity, these problems must be simulated on parallel machines in order to achieve high resolution. The purpose of this research was to investigate techniques for coupling flow and geomechanics in porous media that are suitable for parallel computation. In particular, our main objective was to develop an iterative technique which can be as accurate as a fully coupled model but which allows for robust and efficient coupling of existing complex models (software). A parallel linear elastic module was developed which was coupled to a three phase threecomponent black oil model in IPARS (Integrated Parallel Accurate Reservoir Simulator). An iterative decoupling technique was introduced at each time step. The resulting nonlinear iteration involved solving for displacements and flow sequentially. Rock compressibility was used in the flow model to account for the effect of deformation on the pore volume. Convergence was achieved when the mass balance for each component satisfied a given tolerance. This approach was validated by comparison with a fully coupled approach implemented in the British PetroledAmoco ACRES simulator. Another objective of this work was to develop an efficient parallel solver for the elasticity equations. A preconditioned conjugate gradient solver was implemented to solve the algebraic system arising from tensor product linear Galerkin approximations for the displacements. Three preconditioners were developed: LSOR (line successive overrelaxation), block Jacobi, and agglomeration multigrid. The latter approach involved coarsening the 3D system to 2D and using LSOR as a smoother that is followed by applying geometric multigrid with SOR (successive overrelaxation) as a smoother. Preliminary tests on a 64node Beowulf cluster at CSM indicate that the agglomeration multigrid approach is robust and efficient
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Fitzgibbon, W. E. (William Edward) 1945 Author Editor
 Society for Industrial and Applied Mathematics
 Delic, George Editor
 National Environmental Superconducting Center
 Ewing, Richard E. Author
 Ortoleva, Peter
 Chadam, John Author
 Cunningham, Al
 Barbeiro, Sílvia Editor
 Ferreira, José A. Author Editor
Useful Links
Associated Subjects
Approximation theory Boundary value problems Canada Convergence Decomposition (Mathematics) Differential equations, HyperbolicNumerical solutions Differential equations, ParabolicNumerical solutions Differential equations, Partial Earth sciences Earth sciencesMathematics Economics Environmental sciences Environmental sciencesComputer simulation Environmental sciencesData processing Environmental sciencesMathematical models Environmental sciencesTechnique Equations Finite element method Fluid dynamics Fluid mechanics Galerkin methods Geophysics Groundwater flow Groundwater flowMathematical models Heat equation Inverse problems (Differential equations) Mathematical models Mathematical optimization Mathematics Natural gas Numerical analysis Oil fields Oil fieldsProduction methodsComputer simulation Petroleum PhysiologyMathematics Porosity PorosityMathematical models Porous materials Porous materialsFluid dynamics Porous materialsMechanical properties Porous materialsPermeabilityMathematical models Projection Scientists Spices Supercomputers Transport theoryMathematical models Twophase flow United States Wave equation Wavemotion, Theory of