Multiscale tomography of buried magnetic structures: its use in the localization and characterization of archaeological structures |
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| Authors: | Ginette Saracco Frédérique Moreau Pierre-Etienne Mathé Daniel Hermitte Jean-Marie Michel |
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| Institution: | CNRS-UMR 6635,;CEREGE, UPCAM, Géophysique &Planétologie, Europole de l'Arbois, BP 80, 13545 Aix en Provence, France. E-mail: CNRS-UMR 6118,;Géosciences-Rennes, Campus de Beaulieu, Bat 15, 35042 Rennes, France INRAP, Service Archéologique du Var, 83000;Toulon, France |
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| Abstract: | We have previously developed a method for characterizing and localizing 'homogeneous' buried sources, from the measure of potential anomalies at a fixed height above ground (magnetic, electric and gravity). This method is based on potential theory and uses the properties of the Poisson kernel (real by definition) and the continuous wavelet theory. Here, we relax the assumption on sources and introduce a method that we call the 'multiscale tomography'. Our approach is based on the harmonic extension of the observed magnetic field to produce a complex source by use of a complex Poisson kernel solution of the Laplace equation for complex potential field. A phase and modulus are defined. We show that the phase provides additional information on the total magnetic inclination and the structure of sources, while the modulus allows us to characterize its spatial location, depth and 'effective degree'. This method is compared to the 'complex dipolar tomography', extension of the Patella method that we previously developed. We applied both methods and a classical electrical resistivity tomography to detect and localize buried archaeological structures like antique ovens from magnetic measurements on the Fox-Amphoux site (France). The estimates are then compared with the results of excavations. |
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| Keywords: | complex dipolar occurrence tomography complex wavelet transform electrical resistivity inverse problem in potential field magnetic anomalies multiscale tomography |
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