Welcome!

International Center for Workshops in the Scienceswww.lorentzcenter.nl

Many thanks to:

Ikrâm ÇakirMieke Schutte

QUantitative Estimation of Earth‘s Seismic Sources and StructureEU Initial Training Network in Computational Seismology

www.quest-itn.org

Many thanks to:

Heiner Igel

Infer the magnetic field V at the core-mantle boundary from observations of V at the surface.

Expand VCMB into an orthonormal basis:

Energy of the magnetic field:

Prior knowledge is assumed identical for all parameters:

<Vk> = 0 k (zero expected value) <Vk

2> = σ2 k (variance σ2)

Why this workshop ? A geomagnetic excursion

N

k kkCMB bVV1

N

k kCMB VVE1

22

core-mantle boundary (CMB)

surface of the Earth

AA

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) expected a priori energy is finite → a priori variances tend to zero (perfect knowledge)

NE as02

NE as02

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

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

Posters will be on display the whole week near the coffee

room.

Monday

Opening

General inverse theory A. Jackson

Tuesday

Tomographic problems A. Lorenc

Tomographic problems A. Fournier

Wednesday

Tomographic problems R. Potthast

Data assimilation J. Irving

Boat trip

Thursday

Data assimilation T. Nissen-Meyer

Data assimilation M. Holschneider

Friday

Special topics M. Sambridge

Summary lecture

Convenors

Introduce speakers

Interupt speakers when the audience seems to

get lost

→ Chosen outside their main research field

Have fun!