We propose to estimate missing well log data by first aligning all well logs to a common geologic time. Aligning well logs is analogous to stratigraphic correlation and allows us to interpolate missing sonic and density logs using the available logs. After missing well logs are interpolated, we remove the alignment shifts, thus shifting available and interpolated logs back to the well's original domain. The predicted velocity and density well logs provides the minimum required logs to forward model a synthetic seismogram assuming no changes in fluids between wells. In the next step, synthetic seismograms are modeled using the complete well log suites at each well location and then are semi-automatically matched with a nearby real seismic trace.