{"id":5991,"date":"2022-02-03T08:14:39","date_gmt":"2022-02-03T07:14:39","guid":{"rendered":"https:\/\/lyon-geologie.univ-lyon1.fr\/?page_id=5991"},"modified":"2023-01-17T11:53:07","modified_gmt":"2023-01-17T10:53:07","slug":"m1_inver","status":"publish","type":"page","link":"https:\/\/lyongeologie.fr\/en\/m1-geosciences\/m1_inver\/","title":{"rendered":"M1 M\u00e9thodes inverses"},"content":{"rendered":"
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Inverse Methods
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3 Credits<\/em><\/p>

Contact: Eric DEBAYLE<\/a>
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\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tBack to the previous page<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\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
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Cette UE propose une introduction au probl\u00e8me inverse, et \u00e0 ses diff\u00e9rentes applications en g\u00e9osciences. Un probl\u00e8me inverse est une situation dans laquelle on tente de d\u00e9terminer les causes d’un ph\u00e9nom\u00e8ne \u00e0 partir des observations de ses effets. Par exemple, en sismologie, la localisation de l’origine d’un tremblement de terre \u00e0 partir de mesures faites par plusieurs stations sismiques r\u00e9parties sur la surface du globe terrestre est un probl\u00e8me inverse. A partir des mesures obtenues sur le ph\u00e9nom\u00e8ne r\u00e9el, la d\u00e9marche va consister \u00e0 approximer au mieux les param\u00e8tres d\u2019un mod\u00e8le qui permettent d\u2019expliquer ces mesures. La r\u00e9solution math\u00e9matique est rendue difficile par le fait que les probl\u00e8mes inverses sont en g\u00e9n\u00e9ral des probl\u00e8mes mal pos\u00e9s, c’est-\u00e0-dire que les seules observations ne suffisent pas \u00e0 d\u00e9terminer parfaitement tous les param\u00e8tres du mod\u00e8le, et ou la solution est non unique.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

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La r\u00e9solution de probl\u00e8mes se fait souvent en utilisant l'alg\u00e8bre lin\u00e9aire. <\/small><\/i><\/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
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En plus d’acqu\u00e9rir des connaissances fondamentales sur certains outils math\u00e9matiques, les \u00e9tudiants apprendront \u00e0 analyser et \u00e0 formuler quantitativement un probl\u00e8me, par ex. quelles sont les donn\u00e9es, les inconnues, quelle est la nature du probl\u00e8me? Des exemples seront fournis dans diff\u00e9rentes disciplines en g\u00e9osciences. Comme certains probl\u00e8mes sont communs \u00e0 de nombreux domaines (e.g. r\u00e9gression), ils offrent une r\u00e9elle opportunit\u00e9 d’appliquer une approche interdisciplinaire, ce qui stimule la cr\u00e9ativit\u00e9 et l’imagination des \u00e9tudiants.<\/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

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\n\t\t\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>","protected":false},"excerpt":{"rendered":"

M\u00e9thodes Inverses Cr\u00e9dits : 3 ECTS Responsable : Eric DEBAYLE Retour \u00e0 la liste des UEs Cette UE propose une introduction au probl\u00e8me inverse, et \u00e0 ses diff\u00e9rentes applications en g\u00e9osciences. Un probl\u00e8me inverse est une situation dans laquelle on tente de d\u00e9terminer les causes d’un ph\u00e9nom\u00e8ne \u00e0 partir des observations de ses effets. Par […]<\/p>\n","protected":false},"author":5,"featured_media":0,"parent":511,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"no-sidebar","site-content-layout":"page-builder","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"class_list":["post-5991","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages\/5991","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/comments?post=5991"}],"version-history":[{"count":14,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages\/5991\/revisions"}],"predecessor-version":[{"id":16319,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages\/5991\/revisions\/16319"}],"up":[{"embeddable":true,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages\/511"}],"wp:attachment":[{"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/media?parent=5991"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}