Volcano

doi:10.1002/0471743984.vse7429

Cited by 8 publications

(7 citation statements)

References 68 publications

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“…The software is written in MATLAB® (which is a commercial software and needs to be installed in order to run GBIS) and uses, among others, analytical forward models from the dMODELS software package (Battaglia et al, 2013). Simple mechanical models of crustal deformation that use closed-form analytical solutions for the characterization of magmatically or tectonically induced deformation processes (e.g., Lisowski, 2007;Segall, 2010) can Figure 1. Schematic representation of the proposed Bayesian inversion approach, including the Markov chain Monte Carlo method-Metropolis-Hastings iterative algorithm.…”

Section: Introductionmentioning

confidence: 99%

Inversion of Surface Deformation Data for Rapid Estimates of Source Parameters and Uncertainties: A Bayesian Approach

Bagnardi

Hooper

2018

Geochem Geophys Geosyst

252

216

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New satellite missions (e.g., the European Space Agency's Sentinel‐1 constellation), advances in data downlinking, and rapid product generation now provide us with the ability to access space‐geodetic data within hours of their acquisition. To truly take advantage of this opportunity, we need to be able to interpret geodetic data in a prompt and robust manner. Here we present a Bayesian approach for the inversion of multiple geodetic data sets that allows a rapid characterization of posterior probability density functions (PDFs) of source model parameters. The inversion algorithm efficiently samples posterior PDFs through a Markov chain Monte Carlo method, incorporating the Metropolis‐Hastings algorithm, with automatic step size selection. We apply our approach to synthetic geodetic data simulating deformation of magmatic origin and demonstrate its ability to retrieve known source parameters. We also apply the inversion algorithm to interferometric synthetic aperture radar data measuring co‐seismic displacements for a thrust‐faulting earthquake (2015 Mw 6.4 Pishan earthquake, China) and retrieve optimal source parameters and associated uncertainties. Given its robustness and rapidity in estimating deformation source parameters and uncertainties, our Bayesian framework is capable of taking advantage of real‐time geodetic measurements. Thus, our approach can be applied to geodetic data to study magmatic, tectonic, and other geophysical processes, especially in rapid‐response operational settings (e.g., volcano observatories). Our algorithm is fully implemented in a MATLAB®‐based software package (Geodetic Bayesian Inversion Software) that we make freely available to the scientific community.

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Section: Introductionmentioning

confidence: 99%

Inversion of Surface Deformation Data for Rapid Estimates of Source Parameters and Uncertainties: A Bayesian Approach

Bagnardi

Hooper

2018

Geochem Geophys Geosyst

252

216

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“…The approach is usable for any forward model involving a linear relation between source parameter (typically volume change) and surface deformation (tilt or strain). Therefore, all small strain elastic formulations involving non-spherical sources (Segall, 2010), opening dislocations (Okada, 1992), or even inhomogeneous distributions of the medium properties (Masterlark et al, 2016) are suitable.…”

Section: Resultsmentioning

confidence: 99%

“…Therefore, this class of problem covers numerous elastic solutions (either analytical or numerical) used for reservoir modeling (Segall, 2010). Among them, the so-called Mogi model is the simplest and probably the most widely used analytical solution for a pressurized point source in a homogeneous elastic half-space (Mogi, 1958).…”

Section: Forward Modelmentioning

confidence: 99%

Joint estimation of tiltmeter drift and volume variation during reservoir monitoring

Furst

Chéry

Mohammadi

et al. 2019

J Geod

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Borehole tiltmeters are widely used to continuously record small surface deformation of reservoirs and volcanoes. Because these instruments display unknown long-term drift, only short-term tilt signal can be used for monitoring purpose. We propose a method to invert long-term time series of tilt data induced by strain variations at depth. The assumption that tiltmeter drift is linear over time is on its own insufficient to remove the drift and uniquely determine the deformation source parameters. To overcome this problem, we first invert the data with no constrain on the drift to obtain one particular solution among all admissible. Then, using the linearity of the forward model, we use the statistical properties of the drift distributions to restore the uniqueness of the solution. We illustrate our approach with four synthetic cases simulating volume changes of a reservoir. We demonstrate the efficiency of our method and show that the accuracy of estimated volume variation dramatically improves if low drift tiltmeters are used.

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“…investigations of the surface displacement and stress caused by a pressurized magma chamber (e.g. Browning and Gudmundsson, 2015;Galland et al, 2015;Gerbault et al, 2018;Guldstrand et al, 2018;Segall, 2005), or the residual pressure of mineral inclusion sealed in a thin-section (e.g. Enami et al, 2007;Kohn, 2014;Mazzucchelli et al, 2018;Thomas and Spear, 2018;Zhong et al, 2018).…”

Section: Introductionmentioning

confidence: 99%

Analytical solution for the stress field in elastic half-space with a spherical pressurized cavity or inclusion containing eigenstrain

Zhong

Dąbrowski

Jamtveit

2018

Geophysical Journal International

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We present an analytical solution based on the series expansion of Papkovich-Boussinesq"s displacement potentials to derive the elastic solution of a spherical inclusion containing an eigenstrain or pressurized cavity in an elastic half space. The inclusion-host interface can be treated as perfectly bonded or allowing different amount of interface sliding as a function of shear stress. The analytical solution allows systematic investigation on some key parameters that control the elastic stress field, such as inclusion depth, elastic moduli and the amount of interface sliding. The model is applied to study the distribution of stress and displacement within and around the inclusion. Stress trajectories and slip lines are computed around a pressurized cavity based on the analytical solution to study potential fracture modes and patterns. The amount of inclusion pressure relaxation due to the free surface is also systematically investigated as a function of inclusion depth and shear modulus ratio between the host and inclusion. A MATLAB code is provided that allows one to directly apply the analytical solution to natural systems given any elastic parameters. The code is benchmarked with Mindlin"s solution for loaded homogeneous inclusion in proximity to a free surface and 3D finite element simulations for heterogeneous inclusion. This model may contribute to the study of the mechanical properties of natural systems at various scales, from km size magma chamber to mm-size mineral inclusions sealed in thin-section.

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Volcano

Abstract: Ill‐Famed Volcanoes Principal Types of Volcanoes The Mechanisms of Volcano Origination Energy and Ejecta of Volcanoes

Cited by 8 publications

References 68 publications

Inversion of Surface Deformation Data for Rapid Estimates of Source Parameters and Uncertainties: A Bayesian Approach

Inversion of Surface Deformation Data for Rapid Estimates of Source Parameters and Uncertainties: A Bayesian Approach

Joint estimation of tiltmeter drift and volume variation during reservoir monitoring

Analytical solution for the stress field in elastic half-space with a spherical pressurized cavity or inclusion containing eigenstrain

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