MS_TI_parameters

MS_TI_parameters - TI parameters from C.
Returns various parameters describing TI anisotropy given an elasticity
matrix (C) and density (rho) in GPa and kg/m^3.
[loveA, loveC, loveL, loveN, loveF, vpv, vsv, eps, gam, del ...
           vpa, vsa, xi, phi, eta] = MS_TI_parameters(C, rho)
  Output:
       vpa                               : isotropic Voigt average P-wave
                                           velocity, km/s
       vsa                               : isotropic Voigt average S-wave
                                           velocity, km/s
       vpv                               : vertical P-wave velocity, km/s
       vsv                               : vertical S-wave velocity, km/s
       eps, gam, del                     : dimensionless Thomsen (1986)
                                           parameters
       xi, phi, eta                      : dimensionless anisotropy
                                           parameters (e.g. Panning
                                           and Romanowicz, 2006)
       loveA, loveC, loveL, loveN, loveF : Love's (1927) anisotropy
                                           parameters, GPa
Notes
   Input units should be GPa for the elasticity matrix and kg/m^3 for the
   density - this gives output parameters in units of km/s for velocity and
   GPa for elasticity. Choosing a different unit for the elasticity will
   change the units for the Love parameters and velocities but not the
   dimensionless parameters. Choosing an arbitrary value for the density
   will not alter the dimensionless parameters or Love parameters, but the
   velocities will be meaningless. The values reported for xi, phi and eta
   do not assume eta=1 or A=C (as assumed by Panning and Romanowicz,
   2006). Compare 'Panning' and 'global' modes in MS_TI.

References
Thomsen, L. (1986) "Weak elastic anisotropy" Geophysics
   vol.51 pp.1954-1966
Mark Panning and Barbara Romanowicz (2006) A three-dimensional radially
   anisotropic model of shear velocity in the whole mantle. Geophysical
   Journal International v167, 361–379.
   doi: 10.1111/j.1365-246X.2006.03100.x
Love, A.E.H., (1927). A Treatise on the Theory of Elasticity,
   Cambridge Univ. Press, Cambridge.
See also: MS_TI, MS_polyaverage