Frequency-domain homotopy inversion using the perturbation theory

초록

Full waveform inversion is one of the indirect inversion methods for finding the solution to nonlinear problems. Although this technique gives high-resolution subsurface images, it requires high-performance computers and has the potential to lead to useless and misleading results. To solve these problems, this study proposes a new inversion technique based on perturbation theory, which is referred to as homotopy inversion. The proposed technique also depends in large measure on an initial model for successful processing. Unlike full waveform inversion, however, this technique can obtain a final result from the first iteration. In addition, since a step length required for descent methods is not used in homotopy inversion, we do not need to worry about failure as a result of the difficulty of determining a proper step length. To demonstrate our technique, we test the numerical examples on a simple anticline model. Furthermore, we compare true seismograms with inverted seismograms to confirm the feasibility of our algorithm. © 2011 Society of Exploration Geophysicists.