The Method of Fundamental Solutions for Solving the Inverse Problem of Magma Source Characterization
Volcano is one of the geodynamic phenomena causing irreparable damages. As lava accumulates in reservoir and then comes to the surface, geometry of the source can be used to predict volcanic eruptions. In this study, using the inverse method of fundamental solutions (MFS) and taking into account the...
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20190101

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doaj6c56ff978c3148ca976c0e072424c10120201125T02:19:42ZengTaylor & Francis GroupGeomatics, Natural Hazards & Risk19475705194757132019010110179781910.1080/19475705.2018.15473241547324The Method of Fundamental Solutions for Solving the Inverse Problem of Magma Source CharacterizationMaryam Yazdanparast0Behzad Voosoghi1Farshid Mossaiby2K. N. Toosi University of TechnologyK. N. Toosi University of TechnologyUniversity of IsfahanVolcano is one of the geodynamic phenomena causing irreparable damages. As lava accumulates in reservoir and then comes to the surface, geometry of the source can be used to predict volcanic eruptions. In this study, using the inverse method of fundamental solutions (MFS) and taking into account the effect of topography, the geometry of the source including shape, depth and centre position of the magma tank is estimated. The MFS is a numerical method for solving boundary value problems with known partial differential equations. The displacement field calculated in the previous studies using InSAR for deflation mode of Cerro Blanco volcano was utilized in this study. It was estimated that the magma source of the volcano is a sphere with a radius of 1 km located at a horizontal position of () km and the depth of about 10 km from the summit with respect to the defined coordinate system. This finding is consistent with that of recent studies in which inversion of InSAR data was used to analyse the geometry of the magma source. The RMSE between the deformation fields of the magma source calculated in the previous studies and that of the study herein via MFS was approximately 3 mm.http://dx.doi.org/10.1080/19475705.2018.1547324magma sourceinverse mfsboundary value problemmeshless methodvolcano 
collection 
DOAJ 
language 
English 
format 
Article 
sources 
DOAJ 
author 
Maryam Yazdanparast Behzad Voosoghi Farshid Mossaiby 
spellingShingle 
Maryam Yazdanparast Behzad Voosoghi Farshid Mossaiby The Method of Fundamental Solutions for Solving the Inverse Problem of Magma Source Characterization Geomatics, Natural Hazards & Risk magma source inverse mfs boundary value problem meshless method volcano 
author_facet 
Maryam Yazdanparast Behzad Voosoghi Farshid Mossaiby 
author_sort 
Maryam Yazdanparast 
title 
The Method of Fundamental Solutions for Solving the Inverse Problem of Magma Source Characterization 
title_short 
The Method of Fundamental Solutions for Solving the Inverse Problem of Magma Source Characterization 
title_full 
The Method of Fundamental Solutions for Solving the Inverse Problem of Magma Source Characterization 
title_fullStr 
The Method of Fundamental Solutions for Solving the Inverse Problem of Magma Source Characterization 
title_full_unstemmed 
The Method of Fundamental Solutions for Solving the Inverse Problem of Magma Source Characterization 
title_sort 
method of fundamental solutions for solving the inverse problem of magma source characterization 
publisher 
Taylor & Francis Group 
series 
Geomatics, Natural Hazards & Risk 
issn 
19475705 19475713 
publishDate 
20190101 
description 
Volcano is one of the geodynamic phenomena causing irreparable damages. As lava accumulates in reservoir and then comes to the surface, geometry of the source can be used to predict volcanic eruptions. In this study, using the inverse method of fundamental solutions (MFS) and taking into account the effect of topography, the geometry of the source including shape, depth and centre position of the magma tank is estimated. The MFS is a numerical method for solving boundary value problems with known partial differential equations. The displacement field calculated in the previous studies using InSAR for deflation mode of Cerro Blanco volcano was utilized in this study. It was estimated that the magma source of the volcano is a sphere with a radius of 1 km located at a horizontal position of () km and the depth of about 10 km from the summit with respect to the defined coordinate system. This finding is consistent with that of recent studies in which inversion of InSAR data was used to analyse the geometry of the magma source. The RMSE between the deformation fields of the magma source calculated in the previous studies and that of the study herein via MFS was approximately 3 mm. 
topic 
magma source inverse mfs boundary value problem meshless method volcano 
url 
http://dx.doi.org/10.1080/19475705.2018.1547324 
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