A Reduced Order Approach for Probabilistic Inversions of 3D Magnetotelluric Data I: General Formulation

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Authors

Maria Constanza Manassero , Juan Carlos Afonso, Fabio Zyserman, Sergio Zlotnik, Ilya Fomin

Abstract

Simulation-based probabilistic inversions of 3D magnetotelluric (MT) data are arguably the best option to deal with the non-linearity and non-uniqueness of the MT problem. However, the computational cost associated with the modeling of 3D MT data has so far precluded the community from adopting and/or pursuing full probabilistic inversions of large MT datasets. In this contribution, we present a novel and general inversion framework, driven by Markov chain Monte Carlo (MCMC) algorithms, which combines i) an efficient parallel-in-parallel structure to solve the 3D forward problem, ii) a reduced order technique to create fast and accurate surrogate models of the forward problem, and iii) adaptive strategies for both the MCMC algorithm and the surrogate model. In particular, and contrary to traditional implementations, the adaptation of the surrogate is integrated into the MCMC inversion. This circumvents the need of costly offline stages to build the surrogate and further increases the overall efficiency of the method.

We demonstrate the feasibility and performance of our approach to invert for large-scale conductivity structures with two numerical examples using different parameterizations and dimensionalities. In both cases, we report staggering gains in computational efficiency compared to traditional MCMC implementations. Our method finally removes the main bottleneck of probabilistic inversions of 3D MT data and opens up new opportunities for both stand-alone MT inversions and multi-observable joint inversions for the physical state of the Earth’s interior.

DOI

https://doi.org/10.31223/osf.io/7n5mv

Subjects

Earth Sciences, Geophysics and Seismology, Physical Sciences and Mathematics

Keywords

Bayesian inversion, 3D Magnetotelluric, electrical conductivity of the Lithosphere, Magnetotelluric, Numerical approximations, probabilistic Inversion, Reduced Basis, Reduced order Modeling, Structure of Lithosphere, Surrogate

Dates

Published: 2020-05-06 23:31

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License

CC0 1.0 Universal - Public Domain Dedication

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