Team 2: Final Report

Uncertainty Quantification in Geophysical Inverse Problems

Statement of the Tomography Problem

Creating Synthetic Data

Choose A Model

Our Model Has Errors!

Solving the Inverse Problem for a single choice of model

Partial Data Set

Full Data Set

The Prior Distribution

Prior Mean

Prior Uncertainty

Colormap To Code Mean and Uncertainty

Prior Composite Image

The Data Prediction Matrix

Data Prediction Matrix

Posterior Surfaces- Full Data

Posterior Mean – Full Data

Posterior Uncertainty – Full Data

Posterior Composite – Full Data

Posterior Surfaces – Limited Data

Posterior Mean – Limited Data

Posterior Uncertainty – Limited Data

Posterior Composite – Limited Data

Solving the Inverse Problem for many choices of model

Partial Data Set

Posterior Surfaces

Posterior Mean Surface

Posterior Uncertainty

Posterior Composite Image

Decimation Histogram

MCMC Statistics