Changes

==How migration is accomplished==

==How migration is accomplished==

One senses the massive scale of the computer intensive two-dimensional mapping involved in the transformation from unmigrated to migrated data in [[:file:seismic-migration_fig4.png|Figure 4]]. While these schematic sections depict ''what'' migration aims to accomplish, they say little about ''how'' it is done. All of the many methods of doing migration are founded on solutions to the ''scalar wave equation'', a partial differential equation that models how waves propagate in the earth. A simple form of the wave equation is as follows:

One senses the massive scale of the computer intensive two-dimensional mapping involved in the transformation from unmigrated to migrated data in [[:file:seismic-migration_fig4-part1.jpg|Figure 4]]. While these schematic sections depict ''what'' migration aims to accomplish, they say little about ''how'' it is done. All of the many methods of doing migration are founded on solutions to the ''scalar wave equation'', a partial differential equation that models how waves propagate in the earth. A simple form of the wave equation is as follows:

:<math>\frac{\partial^{2}P}{\partial z^{2}} + \frac{\partial^{2}P}{\partial x^{2}} = \frac{1}{V^{2}}\frac{\partial^{2}P}{\partial t^{2}}</math>

:<math>\frac{\partial^{2}P}{\partial z^{2}} + \frac{\partial^{2}P}{\partial x^{2}} = \frac{1}{V^{2}}\frac{\partial^{2}P}{\partial t^{2}}</math>