Mudrock line

In rock physics and petrophysics, the mudrock line, also called Castagna's equation or Castagna's relation, is an empirical linear relation between seismic P-wave velocity and S-wave velocity in siliciclastic rocks (i.e. sandstones and shales).

The equation reads:

V p = 1.16 V s + 1.36

Where $V p$ and $V s$ refer to P-wave velocity and S-wave velocity, respectively^[1]. Velocities are given in kilometers per second (km/s).

The name of the equation refers to John Castagna, a professor of exploration geophysics at the University of Houston^[2], who discovered the relation while working for ARCO, an oil company that is now a subsidiary of British Petroleum.

References

^ Castagna, J. P.; Batzle, M. L.; Eastwood, R. L. (1985). "Relationships between compressional-wave and shear-wave velocities in clastic silicate rocks". Geophysics 50: 571–581.
^ http://www.geosc.uh.edu/people/faculty/john-castagna/index.php "University of Houston directory"

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