The main feature of applying finite difference to the Eikonal equation, as opposed to the wave equation, is the efficiency gained in calculating traveltimes and computing synthetic sections. A major reason for the cost difference between using the wave equation and Eikonal equation is the difference in the dimensionality of the problem. Using the Eikonal equation we solve for , whereas by using the wave equation we solve for the time-varying wavefield, W(x,y,z,t). Add to that, the fine grid necessary to solve the wave equation to avoid dispersion. However the eikonal equation is a high frequency asymptotic approximation that would only provide traveltime information for the fastest arrival Vidale (1990). In complex media, the fastest arrival is not necessary the most energetic, and as a result, traveltime solutions obtained by applying the finite difference scheme on the eikonal equation might result in less sufficient solutions.