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IMA Workshop
Quantifying Uncertainty and Multiscale Phenomena in Subsurface Processes
January 7-11, 2002


Mathematics in Geosciences, September 2001 - June 2002
Organizers:

Louis J. Durlofsky
Department of Petroleum Engineering
Stanford University
lou@pangea.stanford.edu

James G. Glimm
Department of Applied Mathematics and Statistics
SUNY at Stony Brook
glimm@ams.sunysb.edu

David Sharp
Complex Systems
Los Alamos National Laboratory (LANL)
dhs@lanl.gov

Mary F. Wheeler
TICAM
The University of Texas at Austin
mfw@brahma.ticam.utexas.edu

C. Larrabee Winter
Department of Mathematical Modeling and Analysis
Los Alamos National Laboratory (LANL)
winter@lanl.gov

The need for accurate and reliable decisions in the subsurface geosciences presents fundamental scientific challenges. Prediction must come with estimates of levels of accuracy, limits of applicability and degrees of confidence that can be placed in the results. This workshop will present an overview of some of the main issues and their interrelationships. The following topics will be emphasized:

(1) Upscaling of multiphase flows,

(2) uncertainty quantification for the geosciences,

(3) analysis of the potential of new experimental methods for characterization of subsurface states to reduce uncertainties in prediction,

(4) integration of subsystem models into large scale computational frameworks.

WORKSHOP SCHEDULE

Monday Tuesday
MONDAY, JANUARY 7
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
8:30 am Coffee and Registration

Reception Room EE/CS 3-176

9:15 am Fadil Santosa , Robert Gulliver, and David Sharp Welcome and Introduction
9:30 am Michael A. Christie
Heriot-Watt University
Quantifying Uncertainty in Reservoir Performance Prediction
10:30 am Coffee Break Reception Room EE/CS 3-176
11:00 am Jef Caers
Stanford University

Stochastic inverse modelling under realistic prior model constraints with multiple-point geostatistics

paper.pdf   slides.html  slides.ppt

12:00 pm
Lunch Break
2:00 pm James G. Glimm
SUNY at Stony Brook

Prediction of Oil Production with Confidence Intervals

Slides:  html   pdf   powerpoint

3:30 pm IMA Tea/Reception
A variety of appetizers and beverages will be served.
IMA East, 400 Lind Hall
TUESDAY, JANUARY 8
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
8:30am Coffee Reception Room EE/CS 3-176
9:30 am C. Larrabee Winter
Los Alamos National Lab

Random domain decomposition for stochastic flow equations

Slides:  pdf    postscript

10:30 am Coffee Break Reception Room EE/CS 3-176
11:00 am Louis J. Durlofsky
Stanford University
Performance Prediction for Non-Conventional Wells in Heterogeneous Reservoirs: From Approximate Models to Detailed Simulation
12:00 pm
Lunch Break
2:00 pm Michael A. Celia
Princeton University
Upscaling and Hysteresis in Models of Soil Moisture, Evaporation, and Transpiration
2:25 pm Thomas F. Russell
University of Colorado at Denver

Stochastic Modeling of Immiscible Flow with Moment Equations

Slides

2:50 pm Coffee Break Reception Room EE/CS 3-176
3:20-3:45 pm Gabriel Wittum
Universität Heidelberg
Groundwater flow simulation and validation
WEDNESDAY, JANUARY 9
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
8:30 am Coffee Reception Room EE/CS 3-176
9:30 am Henning Omre
Norwegian University of Science & Technology
Improved production forecasts and history matching using approximate fluid-flow simulators

Paper:  Omre, H. and Lodoen, O.P.; 2001: Improved Production Forecasts and History Matching using Approximate Fluid Flow Simulators

10:30 am Coffee Break Reception Room EE/CS 3-176
11:00 am Mary Fanett Wheeler
University of Texas at Austin
Computational Science Issues in Oil and Gas Production: Upscaling, Geologic Uncertainty and Economic Models
12:00 pm
Lunch Break
2:00 pm Bradley J. Plohr
SUNY At Stony Brook
Modeling Permeability Hysteresis in Two- and Three-Phase Flow via Relaxation
3:00 pm Coffee Break Reception Room EE/CS 3-176
3:30 pm Jichun Li
University of Nevada, Las Vegas
Singular Perturbation Problems and Multiple Scales
3:55-4:20 pm Felix Herrmann
Massachusetts Institute of Technology
Regularity-adaptive basis function representation for seismic data
THURSDAY, JANUARY 10
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
8:30 am Coffee Reception Room EE/CS 3-176
9:30 am Dean S. Oliver
University of Tulsa

Assessing Uncertainty in Reservoir Prediction by Monte Carlo Methods

Slides.pdf     Movie

10:30 am Coffee Break Reception Room EE/CS 3-176
11:00 am Thomas Y. Hou
Caltech
Multiscale Computation and Modeling of Flows in Strongly Heterogeneous Porous Media
12:00 pm
Lunch Break
2:00 pm Frederico Furtado
University of Wyoming
On the interaction of heterogeneity and multiphase flow in porous media
6:00 pm Workshop Dinner 400 Lind Hall
FRIDAY, JANUARY 11
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
8:30am Coffee Reception Room EE/CS 3-176
9:30 am Dan Marchesin
Inst de Matematica Pura e Aplicada
Porous Media Deposition Damage from Injection of Water with Particles
10:30 am Coffee Break Reception Room EE/CS 3-176
12:00 pm
Lunch Break
11:00 am Todd Arbogast
University of Texas at Austin

Two-scale, locally conservative subgrid upscaling for elliptic problems

Slides:   pdf    postscript

Monday Tuesday

LIST OF CONFIRMED PARTICIPANTS
(in addition to postdocs and long-term participants)

As of 1/7/2002
Name
Department Affiliation
Todd Arbogast TICAM The University of Texas at Austin
Doug Arnold   Institute for Mathematics & its Applications
Robert Burridge    
Jef Caers Petroleum Engineering Stanford University
Michael Celia Civil and Environmental Eng. Princeton University
Michael Christie Petroleum Engineering Heriot-Watt University
Doug Dokken Mathematics University of St. Thomas
Gregory S. Duane   Institute for Mathematics & its Applications
Louis J. Durlofsky Petroleum Engineering Stanford University
Albert Fannjiang Mathematics University of California - Davis
Frederico C. Furtado Mathematics University of Wyoming
James Glimm Applied Mathematics & Statistics SUNY at Stony Brook
Robert Gulliver   Institute for Mathematics & its Applications
Hazem Hamdan Mathematics Unhiversity of Minnesota
Thomas Y. Hou Applied Mathematics California Institute of Technology
Daniel Kern    
Jichun Li Mathematical Sciences University of Nevada, Las Vegas
Dan Marchesin IMPA Estrada Dona Castorina, 110 Instituto de Matematica Pura e Aplicada
Rebecca Maserumuler Mathematical Sciences Rensselaer Polytechnic Institute
Anna Mazzucato Mathematics Yale University
Robert O'Malley Mathematics University of Washington
Dean S. Oliver Petroleum Engineering University of Tulsa
Henning Omre Mathematical Sciences Norwegian University of Science & Technology
Jeong-Soo Park Statistics Chonnam National University/SRCCS
Bradley Plohr Applied Mathematics SUNY At Stony Brook
Thomas F. Russell Mathematics University of Colorado at Denver
Fadil Santosa   Institute for Mathematics & its Applications
Kurt Scholz Mathematics University of St. Thomas
David Sharp Complex Systems Los Alamos National Laboratory
Michael W. Smiley Mathematics Iowa State University
Mary F. Wheeler TICAM The University of Texas at Austin
Larrabee Winter Mathematical Modeling & Analysis Los Alamos National Laboratory
Gabriel Wittum IWR Ruprecht-Karls-Universitaet Heidelberg
Toshio Yoshikawa   Institute for Mathematics & its Applications

2001-2002 IMA Thematic Year on Mathematics in the Geosciences

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