Current release: Version 1.1
Last update: 08 August 2018
Download GBIS from here.
The open-source Geodetic Bayesian Inversion Software (GBIS, Version 1.1) allows the user to perform the inversion of Interferometric Synthetic Aperture Radar (InSAR) and/or Global Positioning System (GPS) data to estimate deformation source parameters. The inversion software uses a Markov-chain Monte Carlo algorithm, incorporating the Metropolis-Hastings algorithm [e.g., Hastings, 1970; Mosegaard and Tarantola, 1995], to find the posterior probability distribution of the different source parameters.
A detailed explanation of the inversion approach is provided in Bagnardi and Hooper .
The current version of GBIS includes analytical forward models for magmatic sources of different geometry (e.g., point source [Mogi, 1958], finite spherical source [McTigue, 1987], prolate spheroid source [Yang et al., 1988], penny- shaped sill-like source [Fialko et al., 2001], and dipping dike with uniform opening [Okada, 1985]) and for dipping faults with uniform slip [Okada, 1985], embedded in a isotropic elastic half-space. However, the software architecture allows the user to easily add any other analytical or numerical forward models to calculate displacements at the surface.
GBIS is written in Matlab and uses a series of third-party functions to perform specific steps for data pre-processing, subsampling, and includes forward models from the dMODELS software package [Battaglia et al., 2013].
The software offers a series of pre- and post-processing tools aimed at estimating errors in InSAR data, and at graphically displaying the inversion results.
GBIS is developed by Marco Bagnardi and Andrew Hooper.
A Google discussion group is available after registration at:
Battaglia, M., Cervelli, P. F., & Murray, J. R. (2013). dMODELS: A MATLAB software package for modeling crustal deformation near active faults and volcanic centers. Journal of Volcanology and Geothermal Research, 254, 1-4.
Fialko, Y., Khazan, Y., & Simons, M. (2001). Deformation due to a pressurized horizontal circular crack in an elastic half-space, with applications to volcano geodesy. Geophysical Journal International, 146(1), 181-190.
Hastings, W. K. (1970). Monte Carlo sampling methods using Markov chains and their applications. Biometrika, 57(1), 97-109.
McTigue, D. F. (1987). Elastic stress and deformation near a finite spherical magma body: resolution of the point source paradox. Journal of Geophysical Research: Solid Earth, 92(B12), 12931-12940.
Mogi, K. (1958). Relations between the eruptions of various volcanoes and the deformations of the ground surfaces around them.
Mosegaard, K., & Tarantola, A. (1995). Monte Carlo sampling of solutions to inverse problems. Journal of Geophysical Research: Solid Earth, 100(B7), 12431-12447.
Okada, Y. (1985). Surface deformation due to shear and tensile faults in a half-space. Bulletin of the seismological society of America, 75(4), 1135-1154.
Yang, X. M., Davis, P. M., & Dieterich, J. H. (1988). Deformation from inflation of a dipping finite prolate spheroid in an elastic half‐space as a model for volcanic stressing. Journal of Geophysical Research: Solid Earth, 93(B5), 4249-4257.