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Acoustic impedance inversion experiments using simulated seismic data have been presented applying the Gopinath‐Sondhi (GS) method. The purpose is to invert synthetic seismograms to reconstruct impedance profiles. Seismic data have been perturbed by white noise and a band‐limited Butterworth filter. The effect of the dc component of impulse response on the impedance reconstruction has been investigated. The inversion method can be applied for both onshore and offshore explorations due to a similarity between particle velocity and pressure convolution equations. Computer model experiments show that the method is promising for inverting seismograms contaminated with white noise. The study also shows a problem for inversion due to the missing low frequencies including the dc.

The time-domain modified Gelfand–Levitan (MGL) integral equation is solved in closed form for the recovery of acoustical impedance logs from a class of reflection seismograms. The MGL method is compared with usual Gelfand–Levitan (GL) inverse scattering method. A relationship between the kernels, considered to be the known data, of the MGL equation and the Gopinath–Sondhi (GS) equation is established.

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