next up previous print clean
Next: Can I abandon the Up: CURVED WAVEFRONTS Previous: Layered media

Nonhyperbolic curves

Occasionally data does not fit a hyperbolic curve very well. Two other simple fitting functions are
      \begin{eqnarray}
t^2 &=& \tau^2 \ +\ { x^2 \over v^2 } \ 
 +\ x^4 \times {\rm parameter}
\\ 
(t-t_0)^2 &=& (\tau-t_0)^2 \ +\ { x^2 \over v^2 } \end{eqnarray} (34)
(35)
Equation (34) has an extra adjustable parameter of no simple interpretation other than the beginning of a power series in x2. I prefer Equation (35) where the extra adjustable parameter is a time shift t0 which has a simple interpretation, namely, a time shift such as would result from a near-surface low velocity layer. In other words, a datum correction.

1


next up previous print clean
Next: Can I abandon the Up: CURVED WAVEFRONTS Previous: Layered media
Stanford Exploration Project
12/26/2000