Target-oriented inversion using the Patched Green’s function method
Full Waveform Inversion, target-oriented, PFG method
We have designed a target-oriented methodology to perform Full Waveform Inver- sion(FWI) using a frequency-domain wave propagator based on the so-called Patched Green’s Function(PGF) technique. Originally developed in condensed matter physics to describe electronic waves in materials, the PGF technique is easily adaptable to the case of wave propagation in spatially variable media in general. By dividing the entire compu- tational domain into two sections, namely the target area and the outside target area, we calculate the Green Functions related to each section separately. The calculations related to the section outside the target are performed only once at the beginning of inversion, whereas the calculations in the target area are performed repeatedly for each iteration of the inversion process. With the Green Functions of the separate areas, we calculate the Green Functions of the two systems patched together through the application of a Recur- sive Dyson equation. By performing 2D and time-lapse experiments on Marmousi model and a Brazilian Pre-salt velocity model, we demonstrate that the target-oriented PGF re- duces the computational time of the inversion without compromising in accuracy. In fact, when compared with conventional FWI results,the PGF-based calculations are identical but done in a fraction of the time