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Born nearly thirty years ago, time lapse (4D) seismic monitoring has proven to monitor fluid movement and to distinguish<br>between drained and undrained portions of a reservoir. Its ultimate aim is to quantitatively contribute to improving reservoir<br>models, to the benefit of their predictive capability. Now, the benefits of time-lapse seismic for reservoir characterisation do<br>not depend only on the quality of 4D acquisition and processing; they also greatly depend on the particular 4D inversion<br>scheme used.