{"id":540,"date":"2023-08-04T18:42:20","date_gmt":"2023-08-04T18:42:20","guid":{"rendered":"https:\/\/4ddynamicearth.tudelft.nl\/?page_id=540"},"modified":"2023-08-25T06:08:57","modified_gmt":"2023-08-25T06:08:57","slug":"task-3","status":"publish","type":"page","link":"https:\/\/4ddynamicearth.tudelft.nl\/index.php\/the-project\/task-3\/","title":{"rendered":"Task 3: Electromagnetic induction and the Earth\u2019s conductivity"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"540\" class=\"elementor elementor-540\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-be5facb elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"be5facb\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7d31369\" data-id=\"7d31369\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-61b4903 elementor-widget elementor-widget-spacer\" data-id=\"61b4903\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-541f327 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"541f327\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-efac19b\" data-id=\"efac19b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-df690d3 elementor-widget elementor-widget-text-editor\" data-id=\"df690d3\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2 contenteditable=\"true\" data-elementor-setting-key=\"title\" data-pen-placeholder=\"Type Here...\">Task 3: <span class=\"fontstyle0\">Electromagnetic induction and the Earth\u2019s conductivity<\/span><\/h2>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d5e602a elementor-widget elementor-widget-text-editor\" data-id=\"d5e602a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>In this task, we will apply a novel processing of Swarm magnetic field measurements to unravel the electrical conductivity of the lower mantle, using the electromagnetic induction process driven by 1) large geomagnetic storms in the magnetosphere, and 2) secular variation of the core field.<\/p>\n<p>WINTERC-e is an upper mantle (down to 400 km depth) electrical conductivity model produced in the context of ESA\u2019s Support to Science Element project 3D Earth (Martinec et al., 2021). WINTERC-e is based on the thermal and compositional fields from WINTERC-G (constrained by surface wave tomography + satellite gravity + SHF and isostasy) and laboratory studies on the conductivity of the main upper mantle minerals including the effects of water and melt.&nbsp;<\/p>\n<p>Despite being totally independent from magnetic data, WINTERC-e reproduces well the first order tidal magnetic field M2 inferred from Swarm data. Here we will test the sensitivity of MMC data to variations in the volatile content (water, melt) using WINTERC-e as a test bed.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-afd678f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"afd678f\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d75cc6d\" data-id=\"d75cc6d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3841625 elementor-widget elementor-widget-image\" data-id=\"3841625\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/4ddynamicearth.tudelft.nl\/wp-content\/uploads\/2023\/08\/grabs_Zedenek-1024x768.jpg\" class=\"attachment-large size-large wp-image-729\" alt=\"\" srcset=\"https:\/\/4ddynamicearth.tudelft.nl\/wp-content\/uploads\/2023\/08\/grabs_Zedenek-1024x768.jpg 1024w, https:\/\/4ddynamicearth.tudelft.nl\/wp-content\/uploads\/2023\/08\/grabs_Zedenek-300x225.jpg 300w, https:\/\/4ddynamicearth.tudelft.nl\/wp-content\/uploads\/2023\/08\/grabs_Zedenek-768x576.jpg 768w, https:\/\/4ddynamicearth.tudelft.nl\/wp-content\/uploads\/2023\/08\/grabs_Zedenek.jpg 1512w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f7d7d15 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f7d7d15\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6db1c24\" data-id=\"6db1c24\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d174bc2 elementor-widget elementor-widget-text-editor\" data-id=\"d174bc2\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2 contenteditable=\"true\" data-elementor-setting-key=\"title\" data-pen-placeholder=\"Type Here...\">Workpackages Task 3<\/h2>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a37b80d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a37b80d\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6f80ead\" data-id=\"6f80ead\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-983248f elementor-widget elementor-widget-image\" data-id=\"983248f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"518\" height=\"354\" src=\"https:\/\/4ddynamicearth.tudelft.nl\/wp-content\/uploads\/2023\/08\/LM_cond_Jakub-e1692263342683.png\" class=\"attachment-large size-large wp-image-743\" alt=\"\" srcset=\"https:\/\/4ddynamicearth.tudelft.nl\/wp-content\/uploads\/2023\/08\/LM_cond_Jakub-e1692263342683.png 518w, https:\/\/4ddynamicearth.tudelft.nl\/wp-content\/uploads\/2023\/08\/LM_cond_Jakub-e1692263342683-300x205.png 300w\" sizes=\"(max-width: 518px) 100vw, 518px\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">Electrical conductivity of the lower mantle. Cross-section of log-conductivity from a previous study by Vel\u00edmsk\u00fd &amp; Knopp (2021).<\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-80a53fd elementor-widget elementor-widget-toggle\" data-id=\"80a53fd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1341\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-1341\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">WP 3100: The sensitivity analysis of Swarm magnetic field data in terms of lower-mantle electrical conductivity<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-1341\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-1341\"><p>To run the sensitivity analysis, we will use the forward and inverse solver (ELMGIV_FWD, ELMGIV_INV) for electromagnetic induction (EMI) in a 3D Earth (Vel\u00edmsk\u00fd and Martinec, 2005; Vel\u00edmsk\u00fd 2013). The solver runs computations in time domain which is consistent with a transient time behaviour of Swarm magnetic field during large magnetic storms. The specification of the electrical conductivity of the mantle and the inducing (external) magnetic<br \/>field are required as the input data for the forward EMI code. We will start from the existing 1-D and 3-D conductivity models derived from MMA to establish the sensitivity of MMC to conductivity variations in the ULM. A misfit between the internal part of MMC, and the prediction of the numerical simulations will be complemented by calculations of its first and second derivatives with respect to conductivity parameters, using the adjoint method (Maksimov and Vel\u00edmsk\u00fd, 2017). <\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1342\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-1342\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">WP 3200: The sensitivity analysis of the surface secular magnetic variations and accelerations on 3D lower mantle electrical conductivities<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-1342\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-1342\"><p>We will consider the magnetic field at the CMB as provided by the recent core dynamo models (e.g. Aubert et al., 2017, Davies et al., 2022). Having specified the tangential components of SV on the CMB, we will run the forward EMI solver ELMGIV_FWD, as described in WP 3100. In contrast to the previous case, we will modify it in such a way, that the boundary conditions on the lower boundary (i.e., CMB) are specified. We will use different types of 1-D and 3-D lower-mantle conductivity models, partly obtained by analysis of induction responses at very long periods (Constable, 2022), and partly based on the temperature and composition distributions derived from body wave and normal mode seismic tomography, and satellite gravity data modelling together with laboratory conductivity estimates for lower mantle minerals, The sensitivity analysis will vary the amplitudes and distributions of LM conductivities and continue the magnetic field upward from the core to the Earth surface. Comparing the modelled and observed SV on the Earth surface will provide the information on the sensitivity of surface SV on LM conductivities. <\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Task 3: Electromagnetic induction and the Earth\u2019s conductivity In this task, we will apply a novel processing of Swarm magnetic field measurements to unravel the electrical conductivity of the lower mantle, using the electromagnetic induction process driven by 1) large geomagnetic storms in the magnetosphere, and 2) secular variation of the core field. WINTERC-e is&hellip;&nbsp;<a href=\"https:\/\/4ddynamicearth.tudelft.nl\/index.php\/the-project\/task-3\/\" class=\"\" rel=\"bookmark\">Read More &raquo;<span class=\"screen-reader-text\">Task 3: Electromagnetic induction and the Earth\u2019s conductivity<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":14,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-templates\/template-pagebuilder-full-width.php","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"off","neve_meta_content_width":100,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":"","footnotes":""},"class_list":["post-540","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/4ddynamicearth.tudelft.nl\/index.php\/wp-json\/wp\/v2\/pages\/540","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/4ddynamicearth.tudelft.nl\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/4ddynamicearth.tudelft.nl\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/4ddynamicearth.tudelft.nl\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/4ddynamicearth.tudelft.nl\/index.php\/wp-json\/wp\/v2\/comments?post=540"}],"version-history":[{"count":32,"href":"https:\/\/4ddynamicearth.tudelft.nl\/index.php\/wp-json\/wp\/v2\/pages\/540\/revisions"}],"predecessor-version":[{"id":900,"href":"https:\/\/4ddynamicearth.tudelft.nl\/index.php\/wp-json\/wp\/v2\/pages\/540\/revisions\/900"}],"up":[{"embeddable":true,"href":"https:\/\/4ddynamicearth.tudelft.nl\/index.php\/wp-json\/wp\/v2\/pages\/14"}],"wp:attachment":[{"href":"https:\/\/4ddynamicearth.tudelft.nl\/index.php\/wp-json\/wp\/v2\/media?parent=540"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}