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| On anelliptic approximations for qP velocities in TI and orthorhombic media | |
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The phase velocity of qP waves in TI media has the following well-known explicit expression (Gassmann, 1964; Berryman, 1979):
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(9) |
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)
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(10) |
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
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(11) |
where
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| On anelliptic approximations for qP velocities in TI and orthorhombic media | |
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Next: Muir and Dellinger Approximations
Up: Transversely isotropic media
Previous: Transversely isotropic media
2017-04-14