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Fully probabilistic seismic source inversion – Part 1: Efficient parameterisation

Stähler, Simon C., and Karin Sigloch (2013), Fully probabilistic seismic source inversion – Part 1: Efficient parameterisation, Solid Earth Discussions, 5, 1125-1162, doi:10.5194/sed-5-1125-2013, Open access article..

Freely accessible full text here:

Seismic source inversion is a non-linear problem in seismology where not just the
earthquake parameters themselves, but also estimates of their uncertainties are of
great practical importance. Probabilistic source inversion (Bayesian inference) is very
adapted to this challenge, provided that the parameter space can be chosen small enough to make Bayesian sampling computationally feasible. We propose a framework for PRobabilistic Inference of Source Mechanisms (PRISM) that parameterises and samples earthquake depth, moment tensor, and source time function efficiently
by using information from previous non-Bayesian inversions. The source time function
is expressed as a weighted sum of a small number of empirical orthogonal functions,
which were derived from a catalogue of
>1000 STFs by a principal component analysis. We use a likelihood model based on the cross-correlation misfit between observed and predicted waveforms. The resulting ensemble of solutions provides full uncertainty
and covariance information for the source parameters, and permits to propagate these
source uncertainties into travel time estimates used for seismic tomography. The computational effort is such that routine, global estimation of earthquake mechanisms and source time functions from teleseismic broadband waveforms is feasible.
Further information
  author = {Simon C. St{\"a}hler and Karin Sigloch},
  journal = {Solid Earth Discussions},
  month = {jul},
  note = {Open access article.},
  pages = {1125-1162},
  title = {{Fully probabilistic seismic source inversion {--} Part 1: Efficient parameterisation}},
  volume = {5},
  year = {2013},
  url = {http://www.solid-earth-discuss.net/5/1125/2013/sed-5-1125-2013.pdf},
  doi = {10.5194/sed-5-1125-2013},
%0 Journal Article
%A Stähler, Simon C.
%A Sigloch, Karin
%D 2013
%V 5
%J Solid Earth Discussions
%P 1125-1162
%Z Open access article.
%T Fully probabilistic seismic source inversion – Part 1: Efficient parameterisation
%U http://www.solid-earth-discuss.net/5/1125/2013/sed-5-1125-2013.pdf
%8 jul
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