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HOME » PROGRAMS/ACTIVITIES » Annual Thematic Program
Inverse Problems and Quantification of Uncertainty
Mathematics in Geosciences, September 2001 - June 2002
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
| 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 |
| 9:30 am | Robert
L. Parker University of California at San Diego |
Estimation of the magnetizations of geologic bodies: the poles of uncertainty |
| 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 |
|
| 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? |
| 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 |
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 |
| 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 |
Slides:
html
powerpoint |
| 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)
|
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. |
2001-2002 IMA Thematic Year on Mathematics in the Geosciences
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