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This IMA Volume in Mathematics and its Applications RESOURCE RECOVERY, CONFINEMENT, AND REMEDIATION OF ENVIRONMENTAL HAZARDS contains papers presented at two successful one-week workshops: Confine­ ment and Remediation of Environmental Hazards held on January 15-19, 2000 and Resource Recovery, February 9-13, 2000. Both workshops were integral parts of the IMA annual program on Mathematics in Reactive Flow and Transport Phenomena, 1999-2000. We would like to thank John Chadam (University of Pittsburgh), Al Cunningham (Montana State Uni­ versity), Richard E. Ewing (Texas A&M University), Peter Ortoleva (In­ diana University), and Mary Fanett Wheeler (TICAM, The University of Texas at Austin) for their excellent work as organizers of the meetings and for editing the proceedings. We take this opportunity to thank the National Science Foundation for their support of the IMA. Series Editors Douglas N. Arnold, Director of the IMA Fadil Santosa, Deputy Director of the IMA v PREFACE Advances in resource recovery, and confinement/remediation of envi­ ronmental hazards requires a coordinated, interdisciplinary effort involving mathematicians, scientists and engineers. The intent of this collection of papers is to summarize recent theoretical, computational, and experimen­ tal advances in the theory of phenomena in porous media, with the intent to identify similarities and differences concerning applications related to both resource recovery and confinement and remediation of environmental hazards.




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 1999-2000 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 widely-ranging 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.


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 1999-2000 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 widely-ranging 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.
Content:
Front Matter....Pages i-x
Front Matter....Pages xi-xi
Advanced Techniques and Algorithms for Reservoir Simulation, I: Frontier Issues in Managing Oil and Gas Production....Pages 1-7
Advanced Techniques and Algorithms for Reservoir Simulation, II: The Multiblock Approach in the Integrated Parallel Accurate Reservoir Simulator (IPARS)....Pages 9-19
Advanced Techniques and Algorithms for Reservoir Simulation, III: Multiphysics Coupling for Two Phase Flow in Degenerate Conditions....Pages 21-39
Advanced Techniques and Algorithms for Reservoir Simulation, IV: Multiblock Solvers and Preconditioners....Pages 41-55
Upscaling of Biological Processes and Multiphase Flow in Highly Heterogeneous Media....Pages 57-79
Foamy Oil Flow in Porous Media....Pages 81-113
Diffusion in Deformable Media....Pages 115-129
Fractures, Faults, and the Nonlinear RTM Dynamics of Sedimentary Basins....Pages 131-159
Probability Functionals, Homogenization and Comprehensive Reservoir Simulators....Pages 161-178
Front Matter....Pages N3-N3
Diffusion-Limited Contamination and Decontamination in a Layered Aquitard: Forensic and Predictive Analysis of Field Data....Pages 179-194
Modeling of Biofilm Growth in Porous Media at the Pore Scale and Up-Scaling....Pages 195-215
Coal Tar Contamination: Bioremediation and Bioavailability....Pages 217-229
The Local Discontinuous Galerkin Method for Advection-Diffusion Equations Arising in Groundwater and Surface Water Applications....Pages 231-245
Compaction and Diagenesis....Pages 247-262
Numerical Simulation of Freshwater, Salt Water and Methane Interaction Processes in a Coastal Aquifer....Pages 263-281
A Preconditioning Technique as an Upscaling Procedure....Pages 283-296
Back Matter....Pages 297-308


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 1999-2000 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 widely-ranging 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.
Content:
Front Matter....Pages i-x
Front Matter....Pages xi-xi
Advanced Techniques and Algorithms for Reservoir Simulation, I: Frontier Issues in Managing Oil and Gas Production....Pages 1-7
Advanced Techniques and Algorithms for Reservoir Simulation, II: The Multiblock Approach in the Integrated Parallel Accurate Reservoir Simulator (IPARS)....Pages 9-19
Advanced Techniques and Algorithms for Reservoir Simulation, III: Multiphysics Coupling for Two Phase Flow in Degenerate Conditions....Pages 21-39
Advanced Techniques and Algorithms for Reservoir Simulation, IV: Multiblock Solvers and Preconditioners....Pages 41-55
Upscaling of Biological Processes and Multiphase Flow in Highly Heterogeneous Media....Pages 57-79
Foamy Oil Flow in Porous Media....Pages 81-113
Diffusion in Deformable Media....Pages 115-129
Fractures, Faults, and the Nonlinear RTM Dynamics of Sedimentary Basins....Pages 131-159
Probability Functionals, Homogenization and Comprehensive Reservoir Simulators....Pages 161-178
Front Matter....Pages N3-N3
Diffusion-Limited Contamination and Decontamination in a Layered Aquitard: Forensic and Predictive Analysis of Field Data....Pages 179-194
Modeling of Biofilm Growth in Porous Media at the Pore Scale and Up-Scaling....Pages 195-215
Coal Tar Contamination: Bioremediation and Bioavailability....Pages 217-229
The Local Discontinuous Galerkin Method for Advection-Diffusion Equations Arising in Groundwater and Surface Water Applications....Pages 231-245
Compaction and Diagenesis....Pages 247-262
Numerical Simulation of Freshwater, Salt Water and Methane Interaction Processes in a Coastal Aquifer....Pages 263-281
A Preconditioning Technique as an Upscaling Procedure....Pages 283-296
Back Matter....Pages 297-308
....
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