Single frequency 2D acoustic full waveform inversion |
in the right-hand side of 16. Now assuming that the velocity is an even function of the frequency, and that we attempt to reconstruct the velocity from 2 with , we can see from equation 16 that we can equivalently run 2D waveform inversion 2 for frequencies with in 15. For an odd waveform (but still even velocity) for each we use . An arbitrary waveform can be represented as the sum of an even and odd components, and equation 2 will have a linear combination of two source terms 15 in the right-hand side.
Single frequency 2D acoustic full waveform inversion |