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<dc:title xml:lang="fr">Tomographie orientée vers l'inférence du rapport des anomalies de vitesse S à P en utilisant la méthode SOLA et la distribution de Hinkley</dc:title>
<dcterms:alternative xml:lang="en">Inference-oriented tomography of the ratio of S- to P-wave velocity anomalies using the SOLA method and the Hinkley distribution</dcterms:alternative>
<dc:subject xml:lang="fr">Tomographie SOLA-Backus-Gilbert</dc:subject>
<dc:subject xml:lang="fr">Approche par division pour le calcul de Vp/Vs</dc:subject>
<dc:subject xml:lang="fr">Analyse de la résolution locale et des incertitudes</dc:subject>
<dc:subject xml:lang="fr">Cadre d’interprétation fondé sur les rapports R et 1/R</dc:subject>
<dc:subject xml:lang="fr">Structure du manteau supérieur-moyen (Asie du Sud-Est</dc:subject>
<dc:subject xml:lang="en">SOLA-Backus-Gilbert tomography</dc:subject>
<dc:subject xml:lang="en">Division approach for Vp/Vs computation</dc:subject>
<dc:subject xml:lang="en">Local resolution and uncertainty quantification</dc:subject>
<dc:subject xml:lang="en">Ratio-based Interpretation Framework (R and 1/R)</dc:subject>
<dc:subject xml:lang="en">Uppermid mantle structure (Southeast Asia)</dc:subject>
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<dcterms:abstract xml:lang="fr">Un indicateur essentiel de la température, composition et présence de fluides est le rapport a = Vp/Vs. Il peut être obtenu directement à partir de paires de temps d’arrivées P–S, ou indirectement en divisant les modèles tomographiques d’anomalies Vp et Vs (dlnVp et dlnVs). La méthode par division est avantageuse car elle exploite davantage de données, mais elle exige une résolution locale comparable entre les modèles P et S –condition qui n’avait pas pu être vérifiée auparavant. Cette thèse fournit des estimations explicites de résolution et d’incertitude via le cadre SOLA-Backus-Gilbert, permettant enfin de tester rigoureusement ce prérequis. Cela rend possible le calcul robuste de quantités physiques liées au rapport Vp/Vs, telles que R = dlnVs/dlnVp et dln(a), avec leurs incertitudes dérivées de la formulation de Hinkley (ratio de deux variables gaussiennes). Enfin, un schéma d’interprétation en six cas est proposé, reliant les variations observées de Vp/Vs aux processus thermiques, chimiques ou structuraux du manteau terrestre.</dcterms:abstract>
<dcterms:abstract xml:lang="en">One important measure of temperature, composition, and fluid presence is the ratio a = Vp/Vs. It can be derived directly from paired P–S travel times, or indirectly from the division of tomographic models of Vp and Vs anomalies (dlnVp and dlnVs, respectively). The division approach is appealing because it makes use of a lot more data, but it requires comparable local resolution in both P and S models, which was not possible to assess in previous studies. This thesis offers explicit resolution and uncertainty estimates using the SOLA-Backus-Gilbert framework, making it possible to thoroughly test this requirement. This enables the robust computation of several physical quantities associated with the ratio Vp/Vs, such as R = dlnVs/dlnVp and dln(a) –including their uncertainties, derived from the Hinkley formulation for the ratio of two Gaussian variables. Lastly, a new six-case interpretation scheme is presented to link observed variations in Vp/Vs to thermal, chemical, or structural processes in the Earth’s mantle.</dcterms:abstract>
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