Articles | Volume 25, issue 1
https://doi.org/10.5194/npg-25-99-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/npg-25-99-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Research article
| 
16 Feb 2018
Research article |
| 16 Feb 2018
Ensemble Kalman filter for the reconstruction of the Earth's mantle circulation
Marie Bocher
CORRESPONDING AUTHOR
Computational Seismology, Institute of Geophysics, Department of
Earth Sciences, ETH Zürich, Sonneggstrasse 5, 8092 Zürich, Switzerland
Laboratoire de Géologie de Lyon, Université Claude
Bernard Lyon 1, Ecole Normale Supṕrieure de Lyon, Lyon, France
Alexandre Fournier
Institut de Physique du Globe de Paris, Sorbonne Paris Cité,
Université Paris Diderot, CNRS (UMR 7154), Paris, France
Nicolas Coltice
Laboratoire de Géologie de Lyon, Université Claude
Bernard Lyon 1, Ecole Normale Supṕrieure de Lyon, Lyon, France
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Arundhuti Banerjee, Ylona van Dinther, and Femke C. Vossepoel
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Nonlin. Processes Geophys., 29, 53–75, https://doi.org/10.5194/npg-29-53-2022, https://doi.org/10.5194/npg-29-53-2022, 2022
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Linear response functions are a powerful tool to both predict and investigate the dynamics of a system when subjected to small perturbations. In practice, these functions must often be derived from perturbation experiment data. Nevertheless, current methods for this identification require a tailored perturbation experiment, often with many realizations. We present a method that instead derives these functions from a single realization of an experiment driven by any type of perturbation.
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A four-dimensional nonlinear spectral ocean model is used to study the transition to chaos induced by periodic forcing in systems that are nonchaotic in the autonomous limit. The analysis makes use of ensemble simulations and of the system's pullback attractors. A new diagnostic method characterizes the transition to chaos: this is found to occur abruptly at a critical value and begins with the intermittent emergence of periodic oscillations with distinct phases.
Arnaud Mignan
Nonlin. Processes Geophys., 25, 241–250, https://doi.org/10.5194/npg-25-241-2018, https://doi.org/10.5194/npg-25-241-2018, 2018
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The Utsu productivity law, one of the main relationships in seismicity statistics, gives the average number of aftershocks produced by a mainshock of a given magnitude. I demonstrate that the law can be formulated in the solid seismicity theory, where it is parameterized in terms of aftershock density within a geometrical solid, constrained by the mainshock size. This suggests that aftershocks can be studied by applying simple rules of analytic geometry on a static stress field.
V. C. Oliveira Jr., D. P. Sales, V. C. F. Barbosa, and L. Uieda
Nonlin. Processes Geophys., 22, 215–232, https://doi.org/10.5194/npg-22-215-2015, https://doi.org/10.5194/npg-22-215-2015, 2015
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We have developed a fast total-field anomaly inversion to estimate the magnetization direction of multiple sources with approximately spherical shapes and known centres. It requires neither the prior computation of any transformation-like reduction to the pole nor the use of regularly spaced data on a horizontal grid. The method contains flexibility to be implemented as a linear or non-linear inverse problem. Applications to synthetic and field data show the good performance of our method.
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Short summary
We propose a new method to reconstruct the circulation in the Earth's mantle for the last 300 Myr. This method is based on the sequential assimilation of plate layouts obtained from plate tectonic reconstructions into mantle convection models. This method allows us to take into account uncertainties in plate tectonic reconstructions, and provides an estimation of the uncertainties in the final result. We test and validate this method in a controlled environment by using synthetic experiments.
We propose a new method to reconstruct the circulation in the Earth's mantle for the last...
