Scattering enabled retrieval of Green's functions from remotely incident wave packets using cross correlations

作者：de Hoop Maarten V^*; Garnier Josselin; Holman Sean F; Solna Knut

来源：Comptes Rendus Geoscience, 2011, 343(8-9): 526-532.

DOI：10.1016/j.crte.2011.06.001

• Imaging
• Seismic noise
• Green's functions
• Cross correclation function
• Ito-Schrodinger diffusion

We analyze the "field-field" cross correlation associated with scattered coda waves, observed at a pair of distinct receivers, to obtain an estimate of the Green's function between the receivers with an emphasis on high-frequency body waves. The scattered waves are generated in a slab with random medium fluctuations by an incident wave packet. Following the dyadic parabolic scaling of wave packets and considering appropriate scaling for the random fluctuations of the medium, we arrive at a description in terms of a system of Ito-Schrodinger diffusion models. Studying the Wigner distributions of the fields and expressing the cross correlation in terms of the Green's function and the Wigner distribution, we can give a complete characterization of the cross correlation using a "blurring" transformation.

• 出版日期2011-9