On anelliptic approximations for qP velocities in TI and orthorhombic media |

The phase velocity of qP waves in TI media has the following well-known explicit expression (Gassmann, 1964; Berryman, 1979):

where are density-normalized stiffness tensor coefficients in Voigt notation, , , and is the phase angle (measured from the vertical axis). Group velocity can be determined from phase velocity using the general expression (Cervený, 2001)

where denotes the identity matrix, is the phase direction vector, and is the gradient of with respect to . Using Muir-Dellinger parameters, the exact phase velocity for qP waves (equation 9) can be expressed as

where

On anelliptic approximations for qP velocities in TI and orthorhombic media |

2017-04-14