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IMA Workshop
Inverse Problems and Quantification of Uncertainty
April 22-26, 2002


Mathematics in Geosciences, September 2001 - June 2002

Organizers:

William W. Symes
Department of Computational and Applied Mathematics
Rice University
symes@caam.rice.edu

Philip B. Stark
Department of Statistics
University of California-Berkeley
stark@stat.berkeley.edu
http://www.stat.berkeley.edu/~stark

John A. Scales
Department of Geophysics
Colorado School of Mines
jscales@mines.edu

All indirect inference of parameters and system states in the Earth sciences is subject to uncertainty. The model description of the physical processes underlying the inference is necessarily oversimplified, data are measured with limited accuracy, and simulation methods are necessarily approximate. Each of these causes contributes to the overall uncertainty of Earth property estimates. Model parameterization affects the level of ambiguity, and trades off in many problems with explanatory power. The complexity of the Earth system imposes other limitations: many features of the subsurface have an aggregate effect on the data, and estimation of these subresolution aspects of models is subject to great ambiguity.

Many approaches have been proposed to quantify this uncertainty, including linear sensitivity analysis, Bayesian PDF estimation, minimax, construction of solutions that are extremal in some sense, and many others. Some of these techniques are even used. This workshop will explore the capabilities and shortcomings of current methodology in a wide variety of contexts. The juxtaposition of many different applications in which roughly the same uncertainty questions arise is meant to provoke much needed progress towards better understanding of the information content of geophysical data.

Keywords: tomography---whole Earth, crustal, crosswell, ocean acoustic; imaging/inversion--crustal, exploration/exploitation, near surface multispectral imaging, remote sensing gravity, magnetics, electromagnetics; helioseismology; earthquake source mechanisms

WORKSHOP SCHEDULE

Monday Tuesday
MONDAY, APRIL 22
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
8:15 am Coffee and Registration

Reception Room EE/CS 3-176

9:15 am Douglas N. Arnold, Robert Gulliver, and William W. Symes

Welcome and Introduction

Symes's Slides

9:30 am Robert L. Parker
University of California at San Diego

Estimation of the magnetizations of geologic bodies: the poles of uncertainty

Slides

10:30 am Coffee Break Reception Room EE/CS 3-176
11:00 am Alberto Malinverno
Schlumberger-Doll Research
Using Bayesian inference to quantify how measurements affect the uncertainty of inversion results
12:00 pm
Lunch Break
1:30 pm Susana Gómez
IIMAS-UNAM, México

Global optimization for parameter estimation of oil reservoirs

Slides:     html     pdf    powerpoint

2:30 pm Second Chances/ Discussion  
3:30 pm IMA Tea/Reception
A variety of appetizers and beverages will be served.
IMA East, 400 Lind Hall
TUESDAY, APRIL 23
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
9:00 am Coffee Reception Room EE/CS 3-176
9:30 am George C. Papanicolaou
Stanford University

Array imaging, time reversal and communications in random media

Slides:   pdf    powerpoint

10:30 am Coffee Break Reception Room EE/CS 3-176
11:00 am Elena Cherkaev
University of Utah

Multiscale electromagnetic imaging of a random medium

Slides:    pdf    postscript

12:00 pm
Lunch Break
1:30 pm Douglas W. Oldenburg
University of British Columbia, Canada

Geophysical Inversion for Mineral Exploration

Slides:   pdf

2:30 pm Coffee Break Reception Room EE/CS 3-176
3:00 pm Susan Minkoff
University of Maryland, Baltimore County
Scaling: the impact of coupled fluid flow and geomechanical deformation modeling on 4D seismic
4:00 pm Second Chances/Discussion  
WEDNESDAY, APRIL 24
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
9:00 am Coffee Reception Room EE/CS 3-176
9:30 am Roel K. Snieder
Colorado School of Mines

The role of nolinearity in inverse problems

Paper.pdf

10:30 am Coffee Break Reception Room EE/CS 3-176
11:00 am Benjamin S. White
ExxonMobil Corporate Strategic Research
Random Scattering and Uncertainty in Magnetotellurics
12:00 pm
Lunch Break
1:30 pm Albert Tarantola
Institut de Physique du Globe de Paris

Strong nonlinearity and large dimensionality: should we go to work or to sleep?

slides pdf    paper.pdf

2:30 pm Coffee Break Reception Room EE/CS 3-176
3:00 pm Suzhou Huang
Ford Research Lab.

An Inverse Problem in Economics

Slides:   html    pdf    powerpoint

4:00 pm Gerhard Pratt
Queen's University
Local minima in seismic waveform tomography
4:20 pm Discussion  
4:30 pm Second Chances/Discussion  
THURSDAY, APRIL 25
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
9:00 am Coffee Reception Room EE/CS 3-176
9:30 am Gérard C. Herman
Delft University of Technology
Inverse Scattering of Guided Waves
10:30 am Coffee Break Reception Room EE/CS 3-176
11:00 am Delphine Sinoquet
Institut Francais du Petrole
Uncertainty analysis of the solution model of 3D seismic reflection tomography
12:00 pm
Lunch Break
1:30 pm Nicolai Bissantz
Universitat Göttingen

Large scale modelling of the Milky Way - an application of new goodness of fit techniques in inverse regression models

Slides:   pdf    postscript

2:30 pm Coffee Break Reception Room EE/CS 3-176
3:00 pm Luis Tenorio
Colorado School of Mines

Adapting to nonstationary behavior. Examples from geophysics and cosmology

Slides:   pdf    postscript

4:00 pm Michael J. Thompson
Imperial College, London, England

A Few Words About the Seismology of the Solar Interior

Slides:   html    pdf    powerpoint

4:10 pm Second Chances/Discussion  
6:00 pm Workshop Dinner Kikugawa Japanese Restaurant at Riverplace
43 Main Street, SE Minneapolis
FRIDAY, APRIL 26
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
9:00 am Coffee Reception Room EE/CS 3-176
9:30 am Gerard T. Schuster
University of Utah

Resolution Limits of Traveltime Tomograms based on Diffraction Physics

Material from Talks

10:15 am Discussion  
10:30 am Coffee Break Reception Room EE/CS 3-176
11:00 am John A. Scales
Colorado School of Mines
There is Plenty of Signal in the Noise
12:00 pm
Lunch Break
1:30 pm Barbara Cox
Delft University of Technology

Velocity model estimation by inversion of focusing operators: about the resolution dependent parameterization and the use of the LSQR method

Slides:   html    powerpoint
CFPima.html    CFPima.ppt
Postima.pdf    Postima.html    Postima.ppt

2:30 pm Coffee Break Reception Room EE/CS 3-176
3:00 pm Omar Ghattas
Carnegie Mellon University
Scalable Newton-Krylov Methods for Inverse Wave Propagation
4:00 pm Second Chances/Discussion  
Monday Tuesday

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

As of 4/23/2002
Name
Department Affiliation
David Alumbaugh Civil and Environm/Geological Eng University of Wisconsin-Madison
Doug Arnold   Institute for Mathematics & its Applications
Nicolai Bissantz Institute for Mathematical Stochastics Universitaet Goettingen
Brian Borchers Mathematics New Mexico Tech
Robert Burridge Earth Resources Laboratory Massachusetts Institute of Technology
Elena Cherkaev Mathematics University of Utah
Barbara E. Cox   Delft University of Technology
Dorin Drignei Statistics Iowa State University
Omar Ghattas Civil and Environmental Engineering Carnegie Mellon University
Susanna Gomez Instituto de Investigaciones en Matematicas Aplica Universidad Nacional Autonoma de Mexico
Charles W. Groetsch Mathematical Sciences University of Cincinnati
Robert Gulliver   Institute for Mathematics & its Applications
Gerard C. Herman Applied Mathematical Analysis Delft University of Technology
Seongjai Kim Mathematics University of Kentucky
Odd Kolbjornsen Mathematical Sciences - Gloshaugen The Norwegian University of Science and Tech.
Patrick Lailly Institut Francais du Petrole Institut Francais du Petrole
Alberto Malinverno   Schlumberger Doll Research
Juan Meza Computer Science and Mathematics Research Sandia National Laboratories
Susan Minkoff Mathematics and Statistics University of Maryland, Baltimore County
Philippe Nivlet Geophysics and Instrumentation Institut Francais de Petrole
Robert L. Nowack Earth and Atmospheric Sciences Purdue University
Douglas Oldenburg Earth & Ocean Sciences University of British Columbia
George Papanicolaou Mathematics Stanford University
Robert L. Parker Scripps Institution of Oceanography University of California at San Diego
R. Gerhard Pratt Geological Sciences and Geological Engineering Queens University
Nestor V. Queipo Applied Computing Institute, Faculty of Engineering University of Zulia, Venezuela
Christina Dwi Riyanti Applied Mathematical Analysis Delft University of Technology
William Rundell Mathematics Texas A&M University
Frits H. Ruymgaart Mathematics Texas Tech University
Fadil Santosa   Institute for Mathematics & its Applications
John Scales Geophysics Colorado School of Mines
Gerard Schuster Geology and Geophysics University of Utah
Delphine Sinoquet   Institut Francais du Petrole
Roel K. Snieder Geophysics Colorado School of Mines
Philip Stark Statistics University of California, Berkeley
Albert Tarantola   Institut de Physique du Globe
Luis Tenorio Mathematical & Computer Sciences Colorado School of Mines
Michael J Thompson Space & Atmospheric Physics The Blackett Laboratory
Benjamin S. White ExxonMobil Research Exxon Research & Engineering Co.

 

Material from Talks      Abstracts

2001-2002 IMA Thematic Year on Mathematics in the Geosciences

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