Comparison to real data

During later stages there will be some comparison of any modelling results (including the three components of displacement) to real three-component seismic data. This could be either purely surface or VSP, over known geology, with some drill-core constraints and ideally known elasticity matrices of the rock layers. Such data I hope would be provided by a supporting company of The Geomechanics Project. The analysis of the equations (5) by FIO methods in itself, without necessarily finding a solution, may form a portion of my thesis. However, I do plan also to find solutions. As noted above, such findings may be achieved through some analytic reduction followed by completion with numerics. I would compare such solutions to a least one real-data test case and at least one full numerical-solution test case. It should prove true that subtleties of physical phenomena will be better accounted for by the more complicated mathematics applied to the equations of motion than by simpler methods such as ray-theory solutions of the eikonal and transport equations.