| Summary: | A 3D Bayesian inversion for thermodynamic state of the mantle using the Very Broadband Rheology calculator (VBRc) This code implements aBayesian inversion to infer the 3D thermodynamic state of the mantle from observed mechanical properties at the seismic timescale (e.g., shear wave velocity and intrinsic attenuation). The thermodynamic state of the mantle refers tovariablesincluding temperature, density, composition, grain size, melt fraction, and water content. The inversion is set up to constrain three state variables — temperature, melt fraction, and grain size — which are allowed to vary laterally and radially.Thermodynamic state is self-consistently calculated from mechanical properties (and vice versa)using constitutive models for olivine within the VBRc. This code requires MATLAB or GNU-Octave and the VBRc (see https://github.com/vbr-calc/vbr).Further development may occur on Github at https://github.com/guypaxman/vbr_bayesian_inversion. The results associated with the application of this Bayesian inversion to calculate the frequency-dependent mechanical properties of the upper mantle viscosity beneath Greenland are described in: Paxman, G.J.G., Lau, H.C.P., Austermann, J., Holtzman, B.K., Havlin. C., (2023), Inference of the Timescale‐Dependent Apparent Viscosity Structure in the Upper Mantle Beneath Greenland, AGU Advances 4(2), doi:10.1029/2022AV000751. And can be found at: https://doi.org/10.5281/zenodo.7757228.
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