Award Abstract #0427005 "Collaborative Research"ITR-(ASE+EVS)-dmv+sim):Data Driven Simulation of the Subsurface: Optimization and Uncertainty Estimation
Anita J. LaSalle
CNS Division of Computer and Network Systems
CSE Directorate for Computer & Information Science & Engineering
Start Date:
October 1, 2004
Expires:
September 30, 2008 (Estimated)
Awarded Amount to Date:
$694000
Investigator(s):
Mary Wheeler mfw@ices.utexas.edu (Principal Investigator)
Paul Stoffa (Co-Principal Investigator) Clinton Dawson (Co-Principal Investigator) Mrinal Sen (Co-Principal Investigator) Hector Klie (Co-Principal Investigator)
Sponsor:
University of Texas at Austin
P.O Box 7726
Austin, TX 78713 512/471-6424
NSF Program(s):
ITR FOR NATIONAL PRIORITIES
Field Application(s):
0000912 Computer Science
Program Reference Code(s):
HPCC, 9218
Program Element Code(s):
7314
ABSTRACT
Intellectual Merit. Remote sensing is employed in science and engineering problems to infer material properties when these properties can not be directly sampled. To better understand and manage our environment for safety and economic reasons, much progress has been made in imaging the subsurface and estimating physical properties based on remote sensing data. Repeated observations over targets for environmental remediation and reservoir production has become a recognized diagnostic tool for assisting management decisions. In addition, improved optimization techniques capable of responding to large, multi-resolution, disparate, dynamic datasets in a fault tolerant and adaptive fashion are a fundamental requirement for effectively estimating and minimizing the uncertainty in any data driven application. The integrated and e_ective treatment of these issues motivates the present project. The assembled research team proposes to advance the mathematical, engineering and computational foundations necessary to enhance our understanding and extend the predictive capabilities of the physical processes that govern the subsurface phenomena at multiple temporal and spatial scales. Target applications include management of aquifers for water resources, optimizing oil and gas production, and monitoring environmental risks e.g., at waste containment sites or arising from natural hazards.
The intellectual merits of the project include: (1) development of the next generation of accurate, multi-scale, coupled chemical, uid, geomechanical, and geophysical simulators for modeling instrumented subsurface environments; (2) large scale optimization techniques (based on a hybridization of global and local approaches) to drive reliable decision-making and a dynamic symbiotic feedback between computation and data; (3) deployment of an autonomic Grid middleware for providing the adequate processing substrate and data management services for (1) and (2). The realization of the above contributions will result in the Data Driven Subsurface Simulation Framework (DDSSF).
PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH
Aavatsmark, I; Eigestad, GT; Klausen, RA; Wheeler, MF; Yotov, I. "Convergence of a symmetric MPFA method on quadrilateral grids," COMPUTATIONAL GEOSCIENCES, v.11, 2007, p. 333-345.
Aizinger, V; Dawson, C. "The local discontinuous Galerkin method for three-dimensional shallow water flow," COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v.196, 2007, p. 734-746.
Arbogast, T; Pencheva, G; Wheeler, MF; Yotov, I. "A multiscale mortar mixed finite element method," MULTISCALE MODELING & SIMULATION, v.6, 2007, p. 319-346.
Baird, J; Dawson, C. "A posteriori error estimation of the representer method for single-phase Darcy flow," COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v.196, 2007, p. 1623-1632.
Baird, J; Dawson, C. "The representer method for two-phase flow in porous media," COMPUTATIONAL GEOSCIENCES, v.11, 2007, p. 235-248.
Balhoff, MT; Thomas, SG; Wheeler, MF. "Mortar coupling and upscaling of pore-scale models," COMPUTATIONAL GEOSCIENCES, v.12, 2008, p. 15-27.
Banchs, RE; Klie, H; Rodriguez, A; Thomas, SG; Wheeler, MF. "A neural stochastic optimization framework for oil parameter estimation," INTELLIGENT DATA ENGINEERING AND AUTOMATED LEARNING - IDEAL 2006, PROCEEDINGS, v.4224, 2006, p. 147-154.
Bangerth, W; Klie, H; Wheeler, MF; Stoffa, PL; Sen, MK. "On optimization algorithms for the reservoir oil well placement problem," COMPUTATIONAL GEOSCIENCES, v.10, 2006, p. 303-319.
Basabe, J.; Sen, M.; Wheeler, M.F.. "The interior penalty discontinuous Galerkin method for elastic wave propagation: grid dispersion," Geophysical Journal International, v.175, 2008, p. 83.
Dawson, C. "Analysis of discontinuous finite element methods for ground water/surface water coupling," SIAM JOURNAL ON NUMERICAL ANALYSIS, v.44, 2006, p. 1375-1404.
Ganis, B; Klie, H; Wheeler, MF; Wildey, T; Yotov, I; Zhang, DX. "Stochastic collocation and mixed finite elements for flow in porous media," COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v.197, 2008, p. 3547-3559.
Girault, V; Sun, SY; Wheeler, MF; Yotov, I. "Coupling discontinuous Galerkin and mixed finite element discretizations using mortar finite elements," SIAM JOURNAL ON NUMERICAL ANALYSIS, v.46, 2007, p. 949-979.
Girault, V; Wheeler, MF. "Numerical discretization of a Darcy-Forchheimer model," NUMERISCHE MATHEMATIK, v.110, 2008, p. 161-198.
Iglesias, MA; Dawson, C. "The represented method for state and parameter estimation in single-phase Darcy flow," COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v.196, 2007, p. 4577-4596.
Kim, MY; Park, EJ; Thomas, SG; Wheeler, MF. "A multiscale mortar mixed finite element method for slightly compressible flows in porous media," JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.44, 2007, p. 1103-1119.
Klie, H; Bangerth, W; Gai, X; Wheeler, MF; Stoffa, PL; Sen, M; Parashar, M; Catalyurek, U; Saltz, J; Kurc, T. "Models, methods and middleware for grid-enabled multiphysics oil reservoir management," ENGINEERING WITH COMPUTERS, v.22, 2006, p. 349-370.
Kubatko, EJ; Westerink, JJ; Dawson, C. "An unstructured grid morphodynamic model with a discontinuous Galerkin method for bed evolution," OCEAN MODELLING, v.15, 2006, p. 71-89.
Kubatko, EJ; Westerink, JJ; Dawson, C. "hp discontinuous Galerkin methods for advection dominated problems in shallow water flow," COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v.196, 2006, p. 437-451.
Obeyesekere, MN; Patrick, CW; Sun, SY; Wheeler, MF. "A 2-dimensional mathematical model of angiogenesis," TISSUE ENGINEERING, v.12, 2006, p. 985-985.
Parashar, M; Matossian, V; Klie, H; Thomas, SG; Wheeler, MF; Kurc, T; Saltz, J; Versteeg, R. "Towards dynamic data-driven management of the Ruby Gulch Waste Repository," COMPUTATIONAL SCIENCE - ICCS 2006, PT 3, PROCEEDINGS, v.3993, 2006, p. 384-392.
Phillips, P.J.; Wheeler, M.F.. "A coupling of mixed and discontinuous Galerkin finite-element methods for poroelasticity," Computational Geosciences, v.12, 2008, p. 417.
Phillips, PJ; Wheeler, MF. "A coupling of mixed and continuous Galerkin finite element methods for poroelasticity I: the continuous in time case," COMPUTATIONAL GEOSCIENCES, v.11, 2007, p. 131-144.
Phillips, PJ; Wheeler, MF. "A coupling of mixed and continuous Galerkin finite element methods for poroelasticity II: the discrete-in-time case," COMPUTATIONAL GEOSCIENCES, v.11, 2007, p. 145-158.
Rungamornrat, J; Wheeler, MF. "Weakly singular integral equations for Darcy's flow in anisotropic porous media," ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, v.30, 2006, p. 237-246.
Russell, TF; Wheeler, MF; Yotov, I. "Superconvergence for control-volume mixed finite element methods on rectangular grids," SIAM JOURNAL ON NUMERICAL ANALYSIS, v.45, 2007, p. 223-235.
Sena, AR; Stoffa, PL; Sen, MK. "Split-step Fourier migration of GPR data in lossy media," GEOPHYSICS, v.71, 2006, p. K77-K91.
Stoffa, PL; Sen, MK; Seifoullaev, RK; Pestana, RC; Fokkema, JT. "Plane-wave depth migration," GEOPHYSICS, v.71, 2006, p. S261-S272.
Sun, SY; Wheeler, MF. "Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport," COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v.195, 2006, p. 3382-3405.
Sun, SY; Wheeler, MF. "A dynamic, adaptive, locally conservative, and nonconforming solution strategy for transport phenomena in chemical engineering," CHEMICAL ENGINEERING COMMUNICATIONS, v.193, 2006, p. 1527-1545.
Sun, SY; Wheeler, MF. "Local problem-based a posteriori error estimators for discontinuous Galerkin approximations of reactive transport," COMPUTATIONAL GEOSCIENCES, v.11, 2007, p. 87-101.
Sun, SY; Wheeler, MF; Obeyesekere, M; Patrick, C. "Multiscale angiogenesis modeling using mixed finite element methods," MULTISCALE MODELING & SIMULATION, v.4, 2005, p. 1137-1167.
Wheeler, MF; Gai, XL. "Iteratively coupled mixed and Galerkin finite element methods for poro-elasticity," NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, v.23, 2007, p. 785-797.
Wheeler, MF; Yotov, I. "A multipoint flux mixed finite element method," SIAM JOURNAL ON NUMERICAL ANALYSIS, v.44, 2006, p. 2082-2106.
Zhang, X; Rutt, B; Catalyurek, U; Kurc, T; Stoffa, P; Sen, M; Saltz, J. "Supporting scalable and distributed data subsetting and aggregation in large-scale seismic data analysis," INTERNATIONAL JOURNAL OF HIGH PERFORMANCE COMPUTING APPLICATIONS, v.20, 2006, p. 423-438.