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In this paper, we show that an atom interferometer inertial sensor, whenassociated to the auxiliary measurement of external vibrations, can be operatedbeyond its linear range and still keep a high acceleration sensitivity. Wepropose and compare two measurement procedures (fringe fitting and nonlinearlock) that can be used to extract the mean phase of the interferometer when theinterferometer phase fluctuations exceed $2\pi$. Despite operating in the urbanenvironment of inner Paris without any vibration isolation, the use of a lownoise seismometer for the measurement of ground vibrations allows our atomgravimeter to reach at night a sensitivity as good as $5.5\times10^{-8}$g at 1s. Robustness of the measurement to large vibration noise is also demonstratedby the ability of our gravimeter to operate during an earthquake with excellentsensitivity. Our high repetition rate allows for recovering the true lowfrequency seismic vibrations, ensuring proper averaging. Such techniques opennew perspectives for applications in other fields, such as navigation andgeophysics.

Operating an atom interferometer beyond its linear range