We present an approach to handle nonlinear inverse problem in acoustic media by taking into account of the second-order Born approximation, which is an extension of Beylkin’s method (1985). Our quadratic approximation can deal with multiple scattering from a local area and reconstruct large perturbation model. The numerical experiments demonstrate that the linear single scattering inversion is good in amplitude for the perturbation up to 10% of the background media, and our approach can work for up to 40% or more, which makes the migration inversion more accurate. We were able to manage the multiple scattering effects by using a correction term from the second-order Born approximation, which is calculated from an integral over a small area, and only a small portion of computational time was added to the original migration inversion processing time.


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