Well logs, measured in depth, must be tied to seismograms, processed in time, using a time-depth function. Well ties are commonly computed using manual techniques, and are therefore prone to human error. Manually tying multiple wells compounds errors in single well ties, and maintaining lateral consistency between multiple well ties is difficult. We introduce an automatic approach to tying multiple wells that improves consistency among well ties. We first model synthetic seismograms for each well. We then create a synthetic image by interpolating the synthetic seismograms between the wells and along seismic image structure. We use smooth dynamic image warping to align the synthetic image to the seismic image and compute updated time-depth functions for each well. We then interpolate the updated time-depth functions between the wells, and map the time-migrated seismic image to depth.