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The eikonal equation in two dimensions is as follows (Aki and Richards, 1980, ch.4):  
\Bigl( \t_x\Bigr) ^2 \ +\ \Bigl( \t_z\Bigr) ^2 \ =\ s^2(x,z),\end{displaymath} (1)
where s(x,z) is the 2-dimensional slowness model and $\t = \t(x,z)$ is the traveltime field. Subscripts x and z denote partial derivatives with respect to x and z, respectively.


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