Dictionary:Dix formula

For reflections from a sequence of flat, parallel isotropic layers and small offsets, the interval velocity in the nth layer $V_{n-layer}^{int}$can be recursively extracted from the stacking velocities, $V_{n}$ using

$V_{n-layer}^{int}=\left({\frac {V_{n}^{2}t_{n}-V_{n-1}^{2}t_{n-1}}{t_{n}-t_{n-1}}}\right)^{1/2}$,

where $V_{n-1}$ and $V_{n}$ are the stacking velocities from the datum to reflectors above and below the layer and $t_{n-1}$ and $t_{n}$ are reflection arrival times. This formula is often misused to calculate interval velocities in situations that do not satisfy Dix's assumptions. Named for C. Hewitt Dix (1905 - 1984), American geophysicist. See Dix (1955) . Some call this the Postma equation.

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