Welcome!
Many thanks to:
Ikrâm Çakir
Mieke Schutte
International Center for Workshops in the Sciences
www.lorentzcenter.nl
Many thanks to:
Heiner Igel
QUantitative Estimation of Earth‘s Seismic Sources and Structure
EU Initial Training Network in Computational Seismology
www.quest-itn.org
Why this workshop ?
A geomagnetic excursion
Infer the magnetic field V at the core-mantle
boundary from observations of V at the surface.
Expand VCMB into an orthonormal basis:
VCMB  k 1Vk bk
N
Energy of the magnetic field:
2
E  VCMB
 k 1Vk2
N
Prior knowledge is assumed identical for all
parameters:
surface of the Earth
A
A
core-mantle boundary (CMB)
<Vk> = 0
<Vk2> = σ2
k
k
(zero expected value)
(variance σ2)
Why this workshop ?
A geomagnetic excursion
Infer the magnetic field V at the core-mantle
boundary from observations of V at the surface.
2 Choices:
(1) non-zero a priori variances → expected a
priori energy tends to infinity
2 0 
E   as N  
(2) expected a priori energy is finite → a priori
variances tend to zero (perfect knowledge)
E     2  0 as N  
Inconsistent prior knowledge.
G. Backus, 1988. Bayesian inference in geomagnetism. Geophys. J., 92, 125-142.
Why this workshop ?
What this tells us:
Uncertainty analysis is not just a question of computational resources!
Tough conceptual problems remain to be solved.
Communication between the disciplines is absolutely essential!
Discover solutions to difficult problems
Discover that solutions to apparently artificial problems are actually relevant
Inconsistent vocabulary is a serious obstacle.
Workshop that fosters communication between Earth sciences and applied math.
Why this workshop ?
Inverse problems as commom denominator
Inverse problem = data fitting + uncertainty analysis + …
These are interesting times to study inverse problems
Rapid increase of computational power
New approaches to the solution of inverse problems & uncertainty analysis
Visualisation tools to help us understand our inferences
Topic: Uncertainty analysis in geophysical inverse problems.
This workshop is for you!
Enjoy science away from your everyday obligations
Take your time to discuss and brainstorm with your colleagues
Explore outside your own discipline
Get new
ideas and inspiration
Homogenise vocabulary
Monday
Opening
General inverse theory
Tuesday
Tomographic problems
Tomographic problems
Wednesday
Tomographic problems
Data assimilation
Boat trip
Thursday
Data assimilation
Data assimilation
Friday
Special topics
Summary lecture
Programme
Monday
Opening
Programme
General inverse theory
Tuesday
Tomographic problems
Tomographic problems
Wednesday
Tomographic problems
Data assimilation
Boat trip
Thursday
Data assimilation
Data assimilation
Friday
Special topics
Summary lecture
Posters will be on display the
whole week near the coffee
room.
Convenors
Monday
Opening
General inverse theory
A. Jackson
Tuesday
Tomographic problems
A. Lorenc
Tomographic problems
A. Fournier
Introduce speakers
Tomographic problems
R. Potthast
Data assimilation
J. Irving
Interupt speakers when
the audience seems to
get lost
Wednesday
Boat trip
→ Chosen outside their
main research field
Thursday
Data assimilation
T. Nissen-Meyer
Data assimilation
M. Holschneider
Friday
Special topics
Summary lecture
M. Sambridge
Have fun!