A Semi-classical calculus of correlations
| Autor: | Yves Colin de Verdière |
|---|---|
| Přispěvatelé: | Institut Fourier (IF ), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019]), Institut Fourier (IF), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA) |
| Rok vydání: | 2011 |
| Předmět: |
010504 meteorology & atmospheric sciences
[SDU.STU.GP]Sciences of the Universe [physics]/Earth Sciences/Geophysics [physics.geo-ph] MSC 35L05 35Q86 86A15 FOS: Physical sciences [PHYS.PHYS.PHYS-GEO-PH]Physics [physics]/Physics [physics]/Geophysics [physics.geo-ph] semi-classics 01 natural sciences Physics::Geophysics Physics - Geophysics passive imaging [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 0103 physical sciences Calculus medicine 010301 acoustics Mathematical Physics Calculus (medicine) 0105 earth and related environmental sciences Physics Global and Planetary Change surface waves Mathematical Physics (math-ph) medicine.disease Geophysics (physics.geo-ph) General Earth and Planetary Sciences Earth (chemistry) |
| Zdroj: | Comptes Rendus Geoscience. 343:496-501 |
| ISSN: | 1631-0713 |
| Popis: | The method of passive imaging in seismology has been developped recently in order to image the earth crust from recordings of the seismic noise. This method is founded on the computation of correlations of the seismic noise. In this paper, we give an explicit formula for this correlation in the "semi-classical" regime. In order to do that, we define the power spectrum of a random field as the ensemble average of its Wigner measure, this allows phase-space computations: the pseudo-differential calculus and the ray theory. This way, we get a formula for the correlation of the seismic noise in the semi-classcial regime with a source noise which can be localized and non homogeneous. After that, we show how the use of surface guided waves allows to image the earth crust. Comment: To appear in a special issue "Imaging and Monitoring with Seismic Noise" of the series "Comptes Rendus G\'eosciences", from the French "Acad\'emie des sciences" |
| Databáze: | OpenAIRE |
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