Papers | The Center for Subsurface Modeling

SELECTED PUBLICATIONS

ElSheikh, A.H., Wheeler, M.F., and Hoteit, I. — Nested Sampling Particle Filter for Nonlinear Data Assimilation, Quarterly Journal of the Royal Meteorological Society, vol. 140 (2014) [link]
Salama, A., Sun, S., and Wheeler, M.F. — Solving global problems by considering multitude of local problems: application to single-phase flows in anisotropic porous media using the multipoint flux, Journal of Computational and Applied Mathematics, vol. 267 (2014) [link]
Mikelić, A., Wang, B., and Wheeler, M. F. — Numerical convergence study of iterative coupling for coupled flow and geomechanics, Computational Geosciences (2014) [link]
Ganis, B., Kumar, K., Pencheva, G., Wheeler, M.F., Yotov, I. — A global Jacobian method for mortar discretizations of a fully-implicit two-phase flow model, Multiscale Modeling & Simulation (2014) [link]
Ganis, B., Juntunen, M., Pencheva, G., Wheeler, M. F., and Yotov, I. — A global Jacobian method for mortar discretizations of nonlinear porous media flows, SIAM Journal on Scientific Computing (2014) [link]
Ganis, B., Mear, M., Sakhaee-Pour, A., Wheeler, M.F., Wick, T. — Modeling Fluid Injection in Fractures with a Reservoir Simulator Coupled to a Boundary Element Method, Computational Geosciences (2014) [link]
Wheeler, M. F., Xue, G., and Yotov, I. — Coupling multipoint flux mixed finite element method with continuous Galerkin for poroelasticity, Computational Geosciences (2014) [link]
ElSheikh, A.H., Hoteit, I., Wheeler, M.F. — Efficient Bayesian uncertainty quantification of subsurface flow models using nested sampling and sparse polynomial chaos surrogates, Computer Methods in Applied Mechanics and Engineering, vol. 269 (2014) [link]
Tavakoli, R., Srinivasan, S., & Wheeler, M. F. — Rapid Updating of Stochastic Models by Use of an Ensemble-Filter Approach, SPE Journal vol. 19 (2014) [link]
Wheeler, M. F., Wick, T., & Wollner, W. — An augmented-Lagrangian method for the phase-field approach for pressurized fractures, Computer Methods in Applied Mechanics and Engineering, vol. 271 (2014) [link]
Kim, M. Y., & Wheeler, M. F. — Coupling discontinuous Galerkin discretizations using mortar finite elements for advection–diffusion–reaction problems, Computers & Mathematics with Applications, vol. 67 (2014) [link]
Kong, X., Wheeler, M.F. — History Matching Heterogeneous Coreflood of CO2/Brine using Compositional Reservoir Simulator and Geostatistical Approach, SPE Journal (2014) [link]
Florez H.A., Manzanilla R., Florez J., and Wheeler M.F. — Spline-based reservoir’s geometry reconstruction and mesh generation for coupled flow and mechanics simulation, Computational Geosciences (2014) [link]
M. Mikelic, M. F. Wheeler, T. Wick — A quasistatic phase field approach to fluid filled fractures, ICES Preprint, Aug 2013. [link]
M. F. Wheeler, T. Wick, W. Wollner — An Augmented-Lagrangian Method for the Phase-Field Approach for Pressurized Fractures, ICES Preprint, Aug 2013 [link]
K. Kumar, M. F. Wheeler, T. Wick — Reactive Flow and Reaction-Induced Boundary Movement in a Thin Channel, SIAM J. Sci. Comput. (2013) [link]
M. Delshad, X. Kong, R. Tavakoli, S. A. Hosseini, and M. F. Wheeler — Modeling and simulation of carbon sequestration at Cranfield incorporating new physical models, International Journal of Greenhouse Gas Control, 2013. [link]
R. Tavakoli, S. Srinivasan, and M. F. Wheeler — Rapid updating of stochastic models using an ensemble filter approach, SPE 163673-MS, Submitted to SPE journal, July 2013. [link]
R. Tavakoli, H. Yoon, M. Delshad, A. H. ElSheikh, M. F. Wheeler, and B. W. Arnold — Comparison of ensemble filtering algorithms and null space Monte Carlo for parameter estimation and uncertainty quantification using CO2 sequestration data, Water Resources Research, August 2013. [link]
B. Ganis, M. Mear, A. Sakhaee-Pour, M.F. Wheeler, T. Wick. — Modeling hydraulic fractures with a reservoir simulator coupled to a boundary element method. ICES Report 13-17, The Institute for Computational Engineering and Sciences, The University of Texas at Austin, June 2013. [link]
B. Ganis, V. Girault, M. Mear, G. Singh, M.F. Wheeler. — Modeling fractures in a poroelastic medium. ICES Report 13-09, The Institute for Computational Engineering and Sciences, The University of Texas at Austin, April 2013. [link]

ARCHIVE: Technical Presentations | Conference Presentations & Proceedings | Reports | Preprints | Journal Publications

Technical Presentations

2009

M. F. Wheeler—Adaptive Discontinuous Galerkin and Mixed Finite Element Methods for Single and Two Phase Flow and Reactive Transport in Porous Media, The Second International Conference on High Performance Computing and Applications, Shanghai, China, August 10-12, 2009.
G. Xue—A Multiscale Mortar Multipoint Flux MFE Method for Single and Two-Phase Flow in Porous Media, The Second International Conference on High Performance Computing and Applications, Shanghai, China, August 10-12, 2009.
M. F. Wheeler—High Fidelity Algorithms for Coupling Flow, Reactive Transport, and Mechanics in Modeling Carbon Sequestration in Saline Aquifers, Workshop on Modeling and Risk Assessment of Geological Storage of CO2, Longyearbyen, Svalbard, Norway, August 3-7, 2009.
S. G. Thomas, M. Delshad, M. F. Wheeler—Does it Matter How to Inject CO2?, Workshop on Modeling and Risk Assessment of Geological Storage of CO2, Longyearbyen, Svalbard, Norway, August 3-7, 2009.
T. Arbogast—Homogenization-based Mixed Multiscale Finite Elements for Heterogeneous Elliptic Problems, National Sun Yat-Sen University, Kaohsiung, Taiwan (ROC), August 4, 2009.
M. F. Wheeler—Computational Environments for Coupling Multiphase Flow, Transport, and Geomechanics in Modeling Sequestration of Carbon in Saline Aquifers, 2009 Von Kármán Prize Lecture, SIAM Annual Meeting, Denver, Colorado, July 6-10, 2009.
S. G. Thomas, M. F. Wheeler—Enhanced velocity mixed FEM for coupling multiphase flow and transport on non-matching multiblock grids, SIAM Annual Meeting, Denver, Colorado, July 6-10, 2009.
G. Pencheva—Mortar Coupling of Discontinuous Galerkin and Mixed Finite Element Methods for Porous Media Flow, SIAM Annual Meeting, Denver, Colorado, July 6-10, 2009.
T. Wildey—A Multiscale Preconditioner for Nonlinear Multiphysics Problems in Porous Media, SIAM Annual Meeting, Denver, Colorado, July 6-10, 2009.
M. F. Wheeler—Adaptive Discontinuous Galerkin and Mixed Finite Element Methods for Single and Two Phase Flow and Reactive Transport in Porous Media, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Leipzig, Germany, June 15-18, 2009.
M. F. Wheeler—Challenges for Modeling Subsurface Complex Phenomena, SIAM SIAG/GS Career Prize, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Leipzig, Germany, June 15-18, 2009.
T. Arbogast—Homogenization-Based Multiscale Finite Elements for Heterogeneous Porous Media, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Leipzig, Germany, June 15-18, 2009.
M. Delshad, C. Yuan, M. F. Wheeler.Modeling Multiphase Flow Coupled with Biogeochemistry in Porous Media, I- Non–Newtonian Fluids, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Leipzig, Germany, June 15-18, 2009.
M. Delshad, S. G. Thomas, X. Kong, M. F. Wheeler—High Resolution Modeling of CO2 Sequestration, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Leipzig, Germany, June 15-18, 2009.
T. Wildey—A Multiscale Mortar Mixed Finite Element Preconditioner for Stochastic Flow in Porous Media, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Leipzig, Germany, June 15-18, 2009.
T. Wildey—A Multiscale Preconditioner with Application to Solute Transport in Porous Media, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Leipzig, Germany, June 15-18, 2009.
G. Xue—MPFA Mortar Multiscale Method for Multiphase Flow in Porous Media, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Leipzig, Germany, June 15-18, 2009. Presented by T. Wildey.
T. Arbogast—Homogenization-Based Multiscale Finite Elements for Heterogeneous Porous Media, MAFELAP 2009, Brunel University, West London, England, June 9-12, 2009.
M. F. Wheeler—Computational Environments for Modeling Sequestration of Carbon in Saline Aquifers, MAFELAP 2009, Brunel University, West London, England, June 9-12, 2009.
M. F. Wheeler—Multiscale Basis Mortar Mixed Finite Elements for Multiphase Flow in Porous Media, MAFELAP 2009, Brunel University, West London, England, June 9-12, 2009.
T. Arbogast—Fully Conservative Streamline Methods for One and Two-Phase Flows, MAFELAP 2009, Brunel University, West London, England, June 9-12, 2009.
M. F. Wheeler—Computational Environments for Coupling Multiphase Flow, Transport, and Geomechanics in Porous Media, Tapia 70 Conference, Rice University, May 29, 2009.
M. F. Wheeler—Multiscale Basis Mortar Mixed Finite Elements for Multiphase Flow in Porous Media, Reservoir Engineering Research Institute, Twentieth Anniversary Workshop, Palo Alto, California, May 12, 2009.
M. F. Wheeler—Modeling and Simulation of Subsurface Grand Challenges, Workshop on Vision for Research and Development on Simulation Based Engineering and Sciences in the Next Decade, National Academy of Sciences, Washington D.C., April 22, 2009.
M. F. Wheeler—Computation Environments for Coupling Multiphase Flow, Transport, and Mechanics in Porous Media, Department of Mathematics, University of Pittsburgh, April 10, 2009.
M. F. Wheeler—Multiscale Methods for Flow, Transport and Mechanics in Porous Media, 2009 SIAM Southeast Atlantic Section, University of South Carolina, Columbia, South Carolina, April 4, 2009.
T. Arbogast—Variational Multiscale Methods and Mixed Multiscale Finite Elements, Workshop on Meshless Methods, Generalized Finite Element Methods, and Related Approaches, University of Maryland, March 26-28, 2009.
M. F. Wheeler—Multiscale Basis Mortar Mixed Finite Elements for Multiphase Flow in Porous Media, 1st International Conference on Challenges of Porous Media and the Inaugural Meeting of the International Society for Porous Media, Kaiserslautern, Germany, March 11-14, 2009.
T. Arbogast—The Mixed Variational Multiscale Method and Aspects of Convergence for Heterogeneous Porous Media, Mini-Workshop on Numerical Upscaling for Flow Problems: Theory and Applications, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany, March 1-7, 2009.
M. Delshad, S. G. Thomas, M. F. Wheeler—Parallel Numerical Simulations of Non-isothermal Compositional Flow and Chemistry – Applications to CO2 Sequestration, Texas Finite Element Rodeo, ICES, UT at Austin, February 27-28, 2009.
G. Pencheva—Coupling Discontinuous Galerkin and Mixed Finite Element Discretizations using Mortar Finite Elements, Texas Finite Element Rodeo, ICES, UT at Austin, February 27-28, 2009.
M. F. Wheeler—Reservoir Simulation, International Conference on Mathematical Modeling, Sultan Qaboos University, February 24, 2009.

2008

M. F. Wheeler—Computational Frameworks for Subsurface Energy and Environmental Modeling and Simulation, SC08 International Conference for High Performance Computing, Networking, Storage, and Analysis, Austin, Texas, November 15-21, 2008.
M. F. Wheeler—Multiscale Discretizations for Flow, Transport and Mechanics in Porous Media, International Conference on Scaling Up and Modeling for Transport and Flow in Porous Media, Dubrovnik, Croatia, October 13-16, 2008.
T. Arbogast—Aspects of Convergence for Mixed Multiscale Finite Elements and a New Approach to their Definition, International Conference on Scaling Up and Modeling for Transport and Flow in Porous Media, Dubrovnik, Croatia, October 13-16, 2008.
M. F. Wheeler—Computational Environments for Coupling Multiphase Flow, Transport, and Mechanics in Porous Media for Modeling Carbon Sequestration, Department of Civil, Environmental and Construction Engineering, University of Central Florida, September 26, 2008.
T. Arbogast—Multiscale Finite Element Methods for Heterogeneous Porous Media, Computational Infrastructure for Geodynamics (CIG) Workshop on Mathematical and Computational Issues in the Solid Earth Geosciences, Santa Fe, New Mexico, September 15-17, 2008.
M. F. Wheeler—Mortar Coupling of Discontinuous Galerkin and Mixed Finite Element Methods, 11th European Conference on the Mathematics of Oil Recovery (ECMOR), Bergen, Norway, September 8-11, 2008.
M. F. Wheeler— Modeling CO2 Sequestration Using a Sequentially Coupled ‘Iterative-IMPEC-time-split-thermal’ Compositional Simulator, 11th European Conference on the Mathematics of Oil Recovery (ECMOR), Bergen, Norway, September 8-11, 2008.
M. F. Wheeler—Multiscale Modeling Issues in Modeling Carbon Sequestration, Multiscale Modeling and Analysis Workshop, University of Texas at Austin, August 7, 2008.
T. Arbogast—Volume Corrected Characteristic Methods, SIAM National Meeting, San Diego, California, July 2008.
M. F. Wheeler—Multiphysics Couplings in Modeling Flow in Porous Media, SIAM National Meeting, San Diego, California, July 2008.
M. F. Wheeler—Computational Environments for Modeling Carbon Sequestration, Computational Methods in Water Resources XVII International Conference, San Francisco, California, July 6-10, 2008.
M. F. Wheeler—Time Stepping for Multiphysics Couplings in Porous Media Applications, Legacy of John Crank, Brunel University, July 2008.
M. F. Wheeler—Mortar Coupling of Multiphase Flow and Reactive Transport on Non-Matching Grids, Finite Volumes for Complex Applications V, Aussois, France, June 2008.
E. Gildin, H. Klie, M. F. Wheeler—Model Reduction of Large-Scale Reservoirs using the Generalized Low-Rank Approximation of Matrices, SPE Applied Technology Workshop, June 23-26, 2008, Bruges, Belgium.
M. F. Wheeler—Grand Challenge Problem: Modeling Sequestration of CO2 in Saline Aquifers, Computer Sciences and Mathematics Colloquium, Oak Ridge National Laboratory, May 6, 2008.
M. F. Wheeler—Challenges of Modeling the Heterogeneity of Cancer: A Multiscale Model of Angiogenesis, National Cancer Institute, Ohio State University, May 2008.

2007

M. F. Wheeler—Multiscale Discretizations for Flow, Transport, and Mechanics in Porous Media, Mathematics Colloquium, Paris VI, France, December 2007.
M. F. Wheeler—Computational Environments for Modeling Carbon Sequestration, Modeling and Simulation Conference, INRIA, France, December 2007.
E. Gildin, A.C. Antoulas, D. Sorensen, R.H. Bishop—An Educational Perspective to Model and Controller Reduction of Dynamical Systems, 46th IEEE Conference on Decision and Control (CDC), New Orleans, Louisiana, December, 2007.
M. F. Wheeler—Coupling Discontinuous Galerkin and Mixed Finite Element Methods Using Mortar Methods, Conference on Discontinuous Galerkin Methods for Partial Differential Equations, Banff, Canada, November 2007.
M. F. Wheeler—Research at the Center for Subsurface Modeling, Saudi Aramco Technology Quest, November 2007.
T. Hong, M. K. Sen, P. L. Stoffa, H. Klie, S. G. Thomas, A. Rodriguez, M. F. Wheeler—Integrated Time-lapse Seismic Inversion for Reservoir Petrophysics and Fluid Flow Imaging, 77th SEG International Exposition & Annual Meeting, San Antonio, Texas, September 23-28, 2007.
M. F. Wheeler—Domain Decomposition Multiscale Methods for Flow in Porous Media, 2007-2008 Schlumberger-Tufts Computational and Applied Math Seminar Series, Tufts University, September 20, 2007.
T. Arbogast—Modeling Flow and Transport in Vuggy Porous Media, National Sun Yat-Sen University, Kaohsiung, Taiwan, July 25, 2007.
M. F. Wheeler—Multiscale Discretizations for Flow, Transport and Mechanics in Porous Media, 9th US National Congress on Computational Mechanics, July 24, 2007.
M. F. Wheeler—Domain Decomposition Multiscale Methods for Flow in Porous Media, International Council for Industrial and Applied Mathematics, July 19, 2007.
M. F. Wheeler, M. Argaez, H. Klie, C. Quintero, L. Velazquez—Hybrid Optimization Algorithm for Solving Parameter Estimation Problems, 6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, July 16-20, 2007.
H. Klie, M. F. Wheeler—Stochastic Krylov-Subspace Methods for Flow in Random Porous Media, 6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, July 16-20, 2007.
H. Klie, A. Rodriguez, M. F. Wheeler—Multiscale Deflation Solvers for Flow in Porous Media, 6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, July 16- 20, 2007.
A. Rodriguez, H. Klie, M. F. Wheeler—A Multiscale Method for Parameter Estimation in Reservoir Simulation, 6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, July 16-20, 2007.
A. Rodriguez, H. Klie, M. F. Wheeler—SPSA for Oil Parameter Estimation and Reservoir Management, 6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, July 16-20, 2007.
T. Arbogast—Multiscale Computational Techniques for Second Order Elliptic Problems, National Sun Yat-Sen University, Kaohsiung, Taiwan, July 17, 2007.
B. Aksoylu, H. Klie, M. F. Wheeler—Two-Stage Physics-Based Preconditioners for Porous Media Flow Applications, 2007 International Conference on Preconditioning Techniques for Large Sparse Matrix Problems in Scientific and Industrial Applications, Toulouse, France, July 9-12, 2007.
T. Arbogast—A Multiscale Mortar Mixed Finite Element Method for Elliptic Problems, Conference on Computational Methods in Energy and Environmental Research (CMEER), Peking University, Beijing, China, July 9-12, 2007.
T. Arbogast—Fully Conservative Characteristic Methods for Transport Problems, Conference on Computational Methods in Energy and Environmental Research (CMEER), Peking University, Beijing, China, July 9-12, 2007.
T. Arbogast—Multiscale Iterative Computational Methods for Heterogeneous Second Order Elliptic Problems, Workshop on Modeling, Analysis and Simulation of Multiscale Nonlinear Systems, Oregon State University, Corvallis, Oregon, June 25-29, 2007.
E. Gildin, H. Klie, A. Rodriguez, M. F. Wheeler—Large-Scale Control in Porous Media Flow, SIAM Conference on Control and its Applications, San Francisco, California, June, 2007.
M. F. Wheeler—Multiscales Discretizations for Flow, Transport and Mechanics in Porous Media, Frontiers of Scientific Computing Lecture Series, Center for Computation and Technology, Louisiana State University, May 1, 2007.
M. F. Wheeler—Computational Environments for Coupling Flow, Transport, and Mechanics in Porous Media, Southwest Research Center, San Antonio, Texas, April 3, 2007.
M. F. Wheeler—Computational Environments for Coupling Flow, Transport, Chemistry and Mechanics in Porous Media, Third Annual Workshop on Interdisciplinary Computational Science, University of Houston, March 23, 2007.
M. F. Wheeler, M. Balhoff, S. G. Thomas—Pore to Continuum Upscaling and Coupling Using Mortars, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Santa Fe, New Mexico, March 19-22, 2007.
M. F. Wheeler, S. Thomas—Parallel Multiscale Mixed Method for Multiphase Flow and Reactive Transport in Porous Media, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Santa Fe, New Mexico, March 19-22, 2007.
M. F. Wheeler—Environmental Quality Modeling, Department of Defense PET Review, Ohio State University, March 22, 2007.
E. Gildin, H. Klie, A. Rodriguez, M. F. Wheeler—Low-Order Approximation Methods for Oil Reservoir Simulation and Control, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Santa Fe, New Mexico, March 19-22, 2007.
T. Arbogast—A Fully Mass and Volume Conserving Implementation of a Characteristic Method for Transport Problems, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Santa Fe, New Mexico, March 19-22, 2007.
T. Arbogast—Modeling Flow and Transport in Vuggy Media, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Santa Fe, New Mexico, March 19-22, 2007.
H. Klie—Stochastic Krylov Methods for Flow in Random Porous Media, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Santa Fe, New Mexico, March 19-22, 2007.
H. Klie, B. Aksoylu, M. F. Wheeler—Physics-Based Deflation Preconditioners for Flow in Porous Media, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Santa Fe, New Mexico, March 19-22, 2007.
M. F. Wheeler—Iterative Coupling of Multiphase Flow in Porous Media, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Santa Fe, New Mexico, March 19-22, 2007.
M. F. Wheeler—Domain Decomposition Multiscale Methods, Glowinski Science Computational Science Conference, University of Houston, March 10, 2007.
E. Gildin, A.C. Antoulas, D. Sorensen—Model Reduction Applied to Large-Scale Structural Dynamics and Control, SIAM Conference on Computational Science and Engineering, Costa Mesa, California, February 2007.
M. F. Wheeler—Physics-Driven Algorithms for Modeling Subsurface Phenomena, SIAM Conference on Mathematical and Computational Issues, February 19, 2007.
E. Gildin, A. C. Antoulas, D. Sorensen, R. H. Bishop—An Overview of Model Reduction techniques Applied to Large-Scale structural Dynamics and Controls, Purdue University Computing Research Institute (CRI), Spring 2007 Seminar Series, January 24, 2007.

Conference Presentations With Proceedings

2009

K. Rai, R. T. Johns, L. W. Lake, M. Delshad—Oil Recovery Predictions for Surfactant Polymer Flooding, SPE paper 124001, Presented at the 2009 SPE Annual Technical Conference and Exhibition, New Orleans, Louisiana, October 4-7, 2009.
C. Yuan, M. Delshad, M. F. Wheeler—Modeling Multiphase Non-Newtonian Polymer Flow in IPARS Parallel Framework, paper submitted to AIMS Journal, July 2009.
M. Delshad, N. Fathi Najafabadi, K. Sepehrnoori—Scale up Methodology for Wettability Modification in Fractured Carbonates, SPE paper 118915, Presented at the 2009 SPE Reservoir Simulation Symposium, Houston, Texas, February 2-4, 2009.
M. A. Farhadinia, S. L. Bryant, K. Sepehrnoori, M. Delshad—Development of a Reservoir Simulator for Prediction of Reservoir Souring, SPE paper 118951, Presented at the 2009 SPE Reservoir Simulation Symposium, Houston, Texas, February 2-4, 2009.
N. Fathi Najafabadi, C. Han, M. Delshad, K. Sepehrnoori—Development of a Three-Phase, Fully Implicit, Parallel Chemical Flood Simulator, SPE paper 119002, Presented at the 2009 SPE Reservoir Simulation Symposium, Houston, Texas, February 2-4, 2009.
S.G. Thomas, M. Delshad, M. F. Wheeler—Parallel Numerical Simulations of Non-Isothermal Compositional Flow and Chemistry, SPE paper 118847, Presented at the SPE Reservoir Simulation Symposium, The Woodlands, Texas, February 2-4, 2009.

2008

M. Delshad, S. Thomas, M. F. Wheeler—Parallel Simulations of CO2 Sequestration Using a Non-Isothermal Compositional Model, Accepted at International Mechanical Engineering Conference and Exposition (IMECE), ASME, Boston, Massachusetts, Oct-Nov 2008.
S.G. Thomas, M. Delshad, M. F. Wheeler—Modeling CO2 Sequestration Using a Sequentially Coupled ‘Iterative-IMPEC-Time-Split-Thermal’ Compositional Simulator, 11th European Conference on Mathematics of Oil Recover, EAGE, Bergen, Norway, September 2008.
M. Delshad, S. G. Thomas, M. F. WheelerA Benchmark Study on Problems Related to CO2 Storage in Geological Formations: Summary and Discussion of Results, Special Workshop Issue of Computational Geosciences, September 2008.
G. Pencheva, S. G. Thomas, M. F. Wheeler—Mortar Coupling Of Discontinuous Galerkin And Mixed Finite Element Methods, 11th European Conference on Mathematics of Oil Recovery, EAGE, Bergen, Norway, September 2008.
E. Gildin, M. F. Wheeler—Optimal Subsurface Flow Management using Model Predictive Control Techniques, 11th European Conference on Mathematics of Oil Recovery, EAGE, Bergen, Norway, September 2008.
E. Gildin, M. F. Wheeler—Control of Subsurface Flow Using Model Predictive Control Techniques, Proceedings of the International Conference on Engineering Optimization, Brazil, June, 2008.
G. Pencheva, S. G. Thomas, M. F. Wheeler—Mortar Coupling of Multiphase Flow and Reactive Transport on Non-Matching Grids, Finite Volumes for Complex Applications V (Problems and Perspectives), eds. R. Eymard and J.M. Herard, Aussois, France, vol. 5, ISBN: 978-1-84821-035-6 (2008), pp. 135-143.

2007

B. Lu, T. Alshaalan, M. F. Wheeler—Iteratively Coupled Reservoir Simulation for Multiphase Flow in Porous Media, SPE paper 110114, 2007 SPE Annual Technical Conference and Exhibition, Anaheim, California, November 2007.
M. Balhoff, M. F. Wheeler—A Predictive Pore-Scale Model for Non-Darcy Flow in Anisotropic Porous Media, SPE paper 110838, Presented at SPE Annual Technical Conference and Exhibition, Anaheim, California, November 2007.
E. Gildin, A. C. Antoulas, D. Sorensen, R. H. Bishop—An Overview of Model Reduction Techniques Applied to Large-Scale Structural Dynamics and Control, In Proceedings of the McMAT 07, Austin, Texas, July 2007.
A. Rodriguez, H. Klie, M. F. Wheeler, R. Banchs—Assessing Multiple Resolution Scales in History Matching with Stochastic Neural Metamodels, SPE Reservoir Simulation Symposium, Houston, Texas, February 26-28, 2007.
H. Klie, K. Stueben, T. Clees, M. F. Wheeler—Deflation AMG Solvers for Highly Ill Conditioned Reservoir Simulation Problems, SPE paper 105820, SPE Reservoir Simulation Symposium, Houston, Texas, February 26-28, 2007.
K. Stueben, T. Clees, H. Klie, B. Lu, M. F. Wheeler—Algebraic Multigrid Methods (AMG) for the Efficient Solution of Fully Implicit Formulations in Reservoir Simulation, SPE paper 105832, SPE Reservoir Simulation Symposium, Houston, Texas, Feb. 26-28, 2007.

Reports

2007

B. Aksoylu and H. Klie, M. F. Wheeler—Physics-Based Preconditioners for Porous Media Flow Applications, ICES, Technical Report 07-08, 2007.

Preprints

2009

M. F. Wheeler, T. Wildey, I. Yotov—A Multiscale Preconditioner for Stochastic Mortar Mixed Finite Elements, Submitted to CMAME, 2009.
R. Ingram, M. F. Wheeler, I. Yotov—A Multipoint Flux Mixed Finite Element Method on Hexahedra, Submitted to SIAM Journal of Numerical Analysis, 2009.
B. Wang, M. F. Wheeler, I. Yotov—Coupling multipoint flux mixed finite elements with continuous Galerkin for poroelasticity, In preparation, 2009.
G. Pencheva, M. Vohralik, M. F. Wheeler, T. Wildey—Certified a Posteriori Error Estimates for Multiscales, Multinumerics, and Mortar Coupling, In preparation, 2009.
T. Arbogast, W. Wang. —Convergence of a fully conservative volume corrected characteristics-mixed method for transport problems, In preparation, 2009.
T. Arbogast, Ch.-S. Huang, T. F. Russell—A locally conservative streamline method for a model two-phase flow problem in a one-dimensional porous medium, In preparation, 2009.
T. Arbogast, Ch.-S. Huang—A fully conservative Eulerian-Lagrangian method for a convection-diffusion problem in a solenoidal field, Submitted, 2009.
M. A. Farhadinia, S. L. Bryant, K. Sepehrnoori, M. Delshad—Development and Implementation of a Multi-Dimensional Reservoir Souring Module in a Chemical Flooding Simulator (UTCHEM), Accepted for publication, Journal of Petroleum Science and Technology, 2009.
M. A. Farhadinia, S. L. Bryant, K. Sepehrnoori, M. Delshad—Application of A 3-D Reservoir Simulator with Biodegradation Capability to Evaluate Reservoir Souring Predictive Models, Accepted for publication, Journal of Petroleum Science and Technology, 2009.
E. J. Park, M. F. Wheeler—An analysis of multiscale mortar mixed finite element method, In preparation.
E. Gildin, R. H. Bishop, M. F. Wheeler—New Paradigms in Control Systems: Large-Scale Control in Porous Media, In preparation.
E. Gildin, H. Klie, M. F. Wheeler—Model-order Reduction of Large-Scale Reservoir Models using Tensor Decompositions, In preparation.
V. Girault, M. F. Wheeler—Discontinuous Galerkin Methods, Computational Modeling with Partial Differential Equations in Science and Engineering, Accepted.
M. Kim, M. F. Wheeler—Coupling discontinuous Galerkin discretizations using mortar finite elements for advection-diffusion-reaction problems, Submitted to SIAM Journal on Numerical Analysis.

Journal Publications

2009

J. Basabe, M. Sen, M. F. Wheeler—Comment On ‘Dispersion Analysis of Spectral Element Methods for Elastic Wave Propogation’ by G. Seriani and S.P. Oliveira, Wave Motion, Vol. 46, Issue 1 (2009), pp. 92-93.
M. Delshad, S. Thomas, M. F. Wheeler—A benchmark-study on problems related to CO2 storage in geological formations – Summary and discussion of the results, Special Issue of Computational Geosciences, SpringerLink, July 2009.
R. Liu, M. F. Wheeler, C.N. Dawson—A Three-Dimensional Nodal-Based Implementation of a Family of Discontinuous Galerkin Methods for Elasticity Problems, Computers and Structures, Vol. 87, Issue 3-4 (2009), pp. 141-150.
B. Aksoylu, H. Klie—Physics-based preconditioners for solving PDEs on highly heterogeneous media, Applied Numerical Mathematics, Vol. 59, Issue 6 (2009), pp. 1159-1186.
M. Balhoff, A. Mikelic, M. F. Wheeler—Polynomial filtration laws for low Reynolds number flows through porous media, Transport in Porous Media, Online First, April 2009.
S. Sun, H. Wang, K. Wang, M. F. Wheeler—An optimal-order L^2-error estimate for nonsymmetric discontinuous Galerkin methods for a diffusion equation in multiple space dimensions, Computer Methods in Applied Mechanics and Engineering, Vol. 198 (2009), Issue 27-29, pp. 2190-2197.
M. F. Wheeler, M.T. Balhoff—A Predictive Pore-Scale Model for Non-Darcy Flow in Porous Media, SPE Journal, Online First, July 2009.
R. Liu, M. F. Wheeler, C.N. Dawson, R. Dean—On a coupled discontinuous/continuous Galerkin framework and an adaptive penalty scheme for poroelasticity problems, CMAME, Volume 198, Issues 41-44 (2009), pp. 3499-3510.
T. Arbogast, M. S. M. Gomez—A discretization and multigrid solver for a Darcy-Stokes system of three-dimensional vuggy porous media, Comput. Geosci., Vol. 13 (2009), pp. 331-348.
J. Li, T. Arbogast, Y. Huang—Mixed methods using standard conforming finite elements, CMAME, Vol. 198 (2009), pp. 680-692.
V. Girault, G. Pencheva, M. F. Wheeler, T. Wildey. —Domain decomposition for linear elasticity with DG jumps and mortars, CMAME, Vol.198 (2009), pp. 1751-1765.
B. Liang, K. Sepehrnoori, M. Delshad—An Automatic History Matching Module with Distributed and Parallel Computing, Journal of Petroleum Science and Technology, Vol. 27 (2009), pp. 1092-1108.
B. Liang, K. Sepehrnoori, M. Delshad—A weighted Ensemble Kalman Filter for Automatic History Matching, Journal of Petroleum Science and Technology, Vol. 27 (2009), pp. 1062-1091.
H. Mohammadi, M. Delshad, G. A. Pope—Mechanistic Modeling of Alkaline/Surfactant/Polymer Floods, Paper SPE 110212, SPE Reservoir Evaluation and Engineering Journal, Aug. 2009, pp. 518-57.
M. Delshad, N. Najafabadi Fathi, G. Anderson, G. A. Pope, K. Sepehrnoori—Modeling Wettability Alteration in Naturally Fractured Reservoirs, SPE Reservoir Evaluation and Engineering Journal, June 2009, pp. 361-370.
C. Han, M. Delshad, G. A. Pope, K. Sepehrnoori—Coupling EOS Compositional and Surfactant Models in A Fully Implicit Parallel Reservoir Simulator Using EACN Concept, SPE Journal, June 2009, pp. 302-310.
C. N. Dawson, R. Dean, R. Liu, M. F. Wheeler—Modeling of convection-dominated thermoporomechanics problems using incomplete interior penalty Galerkin method, CMAME, Vol. 198, Issue 9-12 (2009), pp. 912-919.
P. J. Phillips, M. F. Wheeler—Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach, Comput. Geosci., Vol. 13, Issue 1 (2009).

2008

G. Pencheva, I. Yotov—Interior superconvergence in mortar and non-mortar mixed finite element methods on non-matching grids, CMAME, 197 (2008), pp. 4307-4318.
J. Basabe, M. Sen, M. F. Wheeler—The interior penalty discontinuous Galerkin method for elastic wave propagation: grid dispersion, Geophysical Journal International, vol. 175, No. 1 (2008), pp. 83-93.
V. Girault, M. F. Wheeler—Numerical discretization of a Darcy-Forchheimer model, Numerische Mathematik, Vol. 110, No. 2 (2008), pp. 161-198.
B. Ganis, H. Klie, M. F. Wheeler, T. Wildey, I. Yotov, D. Zhang—Stochastic collocation and mixed finite elements for flow in porous media, CMAME, Vol. 197, No. 43-44 (2008), pp. 3547-3559.
P. J. Phillips, M. F. Wheeler—A coupling of mixed and discontinuous Galerkin finite-element methods for poroelasticity, Comput. Geosci., Vol. 12, No. 4 (2008), pp. 417-435.
V. Girault, S. Sun, M. F. Wheeler, I. Yotov. Coupling discontinuous Galerkin and mixed finite element discretizations using mortar finite elements, SIAM Journal on Numerical Analysis, Vol. 46, No. 2 (2008), pp. 949-979.
S. G. Thomas, M. Balhoff, M. F. Wheeler—Mortar coupling and upscaling of Porescale models, Comput. Geosci., Springer Neth., Vol. 12, No. 1 (2008), pp. 15-27.

2007

T. Arbogast, D. S. Brunson—A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium, Comput. Geosci., Vol. 11, No. 3 (2007), pp. 207-218.
T. Arbogast, Ch.-S. Huang, S.-M. Yang—Improved accuracy for alternating-direction methods for parabolic equations based on regular and mixed finite elements, Mathematical Models and Methods in Applied Sciences, Vol. 17, No. 8 (2007), pp. 1279-1305.
T. Arbogast, G. Pencheva, M. F. Wheeler, I. Yotov—A multiscale mortar mixed finite element method, Multiscale Model. Simul., Vol. 6, No. 1 (2007), pp. 319-346.
R. Naimi-Tajdar, C. Han, K. Sepehrnoori, T. J. Arbogast, M. A. Miller—A Fully Implicit, Compositional, Parallel Simulator for IOR Processes in Fractured Reservoirs, SPE Journal, Vol. 12, No. 3 (2007).
R. E. Banchs, H. Klie, A. Rodriguez, S. G. Thomas, M. F. Wheeler—A Neural Stochastic Multiscale Optimization Framework for Sensor-Based Parameter Estimation, Integrated Computer-Aided Engineering, Vol. 14, No. 3 (2007), pp. 213-223.
I. Aavatsmark, G. T. Eigestad, R. A. Klausen, I. Yotov, M. F. Wheeler—Convergence of a symmetric MPFA method on quadrilateral grids, Comput. Geosci., Vol. 11, No. 4 (2007), pp. 333-345.
M. Balhoff, S. G. Thomas, M. F. Wheeler—Mortar coupling and upscaling of pore-scale models, Comput. Geosci., Vol. 12, No. 1 (2007), pp. 15-27.
M. Kim, E. Park, S. G. Thomas, M. F. Wheeler—A multiscale mortar mixed finite element method for slightly compressible flows in porous media, J. Korean Math. Soc, Vol. 44, No. 5 (2007), pp. 1103-1119.
S. Sun, M. F. Wheeler—Discontinuous Galerkin methods for simulating bioreactive transport of viruses in porous media, Advances in Water Resources, Vol. 30, No. 6-7 (2007), pp. 1696-1710.
P. J. Phillips, M. F. Wheeler—A Coupling of Mixed and Continuous Galerkin Finite Element Methods for Poroelasticity I: the Continuous in Time Case, Comput. Geosci., Vol. 11, No. 2 (2007), pp. 131-144.
P. J. Phillips, M. F. Wheeler—A Coupling of Mixed and Continuous Galerkin Finite Element Methods for Poroelasticity II: the Discrete in Time Case, Comput. Geosci., Vol. 11, No. 2 (2007), pp. 145-158.
S. Sun, M. F. Wheeler—Local problem-based a posteriori error estimates for discontinuous Galerkin approximations to reactive transport, Comput. Geosci., Vol. 11, No. 2 (2007), pp. 87-101.
X. Gai, M. F. Wheeler—Iteratively coupled mixed and Galerkin finite element methods for poro-elasticity, Numerical Methods for Partial Differential Equations, Vol. 23, No. 4 (2007), pp. 785-797.
T. F. Russell, M. F. Wheeler, I. Yotov—Superconvergence for control-volume mixed finite element methods on rectangular grids, SIAM Journal on Numerical Analysis, Vol. 45, No. 1 (2007), pp. 223-235.