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Ray slope 2D Eikonal equations

The 2D Eikonal equations with the substitution of slowness by $\theta$ can be written as follows[15]:
$\displaystyle \frac{d\theta}{dr}$ $\textstyle =$ $\displaystyle \frac {1}{c}\frac{\partial{c}}{\partial{r}}\tan\theta - \frac {1}{c}\frac{\partial{c}}{\partial{z}} ,$ (A.9)
$\displaystyle \frac{dz}{dr}$ $\textstyle =$ $\displaystyle \tan\theta \hskip2mm ,$ (A.10)
$\displaystyle \frac{d\tau}{dr}$ $\textstyle =$ $\displaystyle \frac {\sec\theta}{c} .$ (A.11)


Orlando Camargo Rodríguez 2012-06-21