MS_TI
MS_TI - generate elastic constants for a vertically transverse isotropic
medium from specified parameter sets. Symmetry is in the 3-axis.
[C]=MS_TI( list_of_parameters , parameter_set_string )
where parameter_set_string defines the set which precede it:
thomsen (default)
[C]=MS_TI(vp,vs,rh,eps,gam,del) -or- [C]=MS_TI(vp,vs,rh,eps,gam,del,'thomsen')
Inputs:
rh : Density (kg/m2)
vp : km/s (vertical)
vs : km/s (vertical)
eps, gam, del : Dimensionless
Output:
C : Stiffness tensor (6x6 notation, GPa)
Given Thomsen (1986) parameters for a weakly anisotropic VTI medium, return the elasticity matrix
panning
[C]=MS_TI(vp,vs,rh,xi,phi,eta,'panning')
Inputs:
rh : Density (kg/m2)
vp : km/s (isotropic average)
vs : km/s (isotropic average)
xi, phi, eta : Dimensionless anisotropy parameters
Output:
C : Stiffness tensor (6x6 notation, GPa)
Calculates the elastic tensor for a VTI medium from average Vp and Vs, and anisotropic parameters xi, phi and eta (see, e.g., Panning and Romanowicz, 2006)
love
[C]=MS_TI(A,C,L,N,F,'love')
Inputs:
A,C,L,N,F : Love parameters (GPa)
Output:
C : Stiffness tensor (6x6 notation, GPa)
Calculates the elastic tensor for a VTI medium from Love (1927) parameters.
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_iso, MS_elasticDB