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Imagerie de subsurface à partir d'une approche géophysique multi-méthode basée sur l'inversion coopérative 2 D : Nouvelle formulation théorique et applications numériques et expérimentales sur des données électriques et sismiques

Abstract : Understanding geology from geophysical investigation is better when information is obtained from different kinds of data. A single method may not have sufficient resolution to provide the expected information. Joint inversion is a step forward to quantitatively combine data of different nature. Joint inversion may be considered in two different ways, petrophysical or structural. We may subdivide a joint inversion into two categories, joint inversion of data function of the same physical parameter, and cooperative inversion of data of different nature such as electrical and seismic data. In this work, we propose to combine a zonal cooperative inversion scheme with a Gauss-Newton method for minimizing the cost function. The basic idea of zonal cooperative inversion is to use cooperatively fuzzy c-means (FCM) classe analysis and separate inversion algorithm. For each iteration classe analysis of separate inversion results is used to construct models composed by several classes that contain the parameter characteristics of dominant subsurface structures. These constructed models are then used in the expression of the model space a priori covariance term in a new stage of separate inversion. The resulting models are then possibly biased to a priori models which depend on the number of classes. To overcome this problem, we formulate the inverse problem using a regularization parameter selected by an adapted L-curve method to weigh the impact of the a priori model on the solution when geology cannot be described by segmented models. The advantage of such a formulation is to avoid undesirable bias towards the starting model and leads to significantly improved spatial resolution for consistent prior information. Hence, the choice of the number of classe to create the a priori model is although less important. The developed methodology is tested and validated on two synthetic models. An experimental application is performed on real data acquired as part of a research survey of the National Agency for Radioactive Waste Management (Andra) for the characterization of a site of interest. Given the results of this application, the use of a cooperative approach for the inversion of electrical and seismic data allows the reconstruction of a more robust geological model, consistent with all the data. The variations of the parameters with depth are more precisely described using this approach.
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Kévin Samyn. Imagerie de subsurface à partir d'une approche géophysique multi-méthode basée sur l'inversion coopérative 2 D : Nouvelle formulation théorique et applications numériques et expérimentales sur des données électriques et sismiques. Géophysique [physics.geo-ph]. Université Pierre et Marie Curie - Paris VI, 2016. Français. ⟨NNT : 2016PA066612⟩. ⟨tel-01664953⟩

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