LAPIS 2019: La Plata International School on Astronomy and Geophysics

Inverse methods in geophysics

La Plata, Argentina, 8-12 April 2019

The courses at the school will cover a wide spectrum of the theoretical aspects of inverse methods as long as their application in a plethora of geophysical problems.

Mauricio Sacchi
Imaging and Inversion of seismic wavefields at exploration scales

  • Acoustic wave equation, one-way and two-way propagators
  • One-way and two-way migration (RTM) and least-squares migration
  • Acoustic frequency and time domain full-waveform inversion (FWI)
  • FWI, optimization via 1st and 2nd order methods, simultaneous sources, stochastic gradients
Niklas Linde
Probabilistic inversion in hydrogeophysics

  • Formulating and solving the inverse problem: probabilistic perspectives on inverse modelling
  • Markov chain Monte Carlo with complex geostatistical priors and error sources
  • Petrophysical and structural approaches to joint inversion
  • Model selection: which conceptual model is favoured by the data?
  • Hydrogeophysical and environmental applications and case-studies
Juan Afonso
Probabilistic inverse problems in geophysics for physical state of the subsurface

  • General introduction to probabilistic inversion of multiple datasets
  • Thermodynamic considerations and internal consistency
  • The physical state of the Earth's lithosphere and upper mantle
  • Fast solvers for expensive forward problems
  • Efficient MCMC algorithms for large-scale inverse problems
  • Advanced topics: ABC and multi-method paradigms
Douglas Oldenburg
Deterministic inversion

  • Deterministic inversion, including fundamentals of the approach, incorporating additional information (geologic, petrophysical, other geophysical data)
  • Understanding the non-uniqueness in the problem
  • Inverting potential fields and electromagnetic data
  • Case histories
  • Illustrating how computations can be done using SimPEG (open-source resource for simulation and inversion)