A device, system and method for performing a 3D interpolation in a 2D interpolation stage and a 1D interpolation stage to generate a refined geological-time. A 3D model may be obtained of a subsurface region defined by an initial geological-time in the past when particles in the subsurface region are determined to have been originally deposited. The stages of the 3D interpolation may include a 2D interpolation along one or more initial 2D reference horizon surfaces to generate one or more reshaped 2D reference horizon surfaces, and a 1D interpolation based on the initial geological-time along one or more 1D interpolation lines to generate a refined geological-time, wherein each 1D interpolation line is approximately orthogonal to the initial 2D reference horizon surfaces. The 3D model may be displayed according to the refined geological-time.