(1)	$\begin{array}{l}\displaystyle \mbox{v} = \sqrt{\left( \frac{\partial p}{\partial \rho} \right)_S}\end{array}$

where

and the derivative is taken at constant entropy: $\begin{array}{l}S= \mbox{const}\end{array}$ .

It differs for p-wave and s-wave:

(2)	$\begin{array}{l}\displaystyle \mbox{v}_p = \sqrt{ \frac{K + \frac{4}{3} G}{\rho} }\end{array}$

(3)	$\begin{array}{l}\displaystyle \mbox{v}_s = \sqrt{ \frac{G}{\rho}}\end{array}$

where

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See also