MSAT - University of Bristol

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Function name MS build isotropic MS TI Description and notes Create elasticity matrix from pairs of isotropic moduli. Generate elastic constants for a vertically transverse isotropic medium from Thomsen parameters (Thomsen, 1986), the ξ, φ and η parameters sometimes used in global scale tomography (e.g., Panning and Romanowicz, 2006), or the A,C,F ,L, and N parameters of Love (1927). Symmetry is in the 3-axis in all cases. MS effective medium Generate elastic constants from various effective medium theories. Includes isotropic media containing ellipsoidal inclusions (Tandon and Weng, 1984), cracked (Hudson, 1980, 1981; Crampin, 1984b) and layered (Backus, 1962) media. MS elasticDB MS expand MS iso MS load Database of various elastic constants. Fill out an elasticity matrix using symmetry. Generate elasticity matrix from isotropic P- and S-wave velocities and density. Load an elasticity matrix from a file. MS load list Load a list of elasticity matrices from a file. Table 1 MSAT functions for the input or generation of elasticity matrices. All return at least one elasticity matrix 30
Function name MS VRH MS axes MS decomp MS polyaverage MS rot3 MS rotEuler Description and notes N-phase Voigt-Reuss-Hill average of elasticity. Reorient elasticity matrix for optimal decomposition using method of Cowin and Mehrabadi (1987) and Browaeys and Chevrot (2004). Browaeys and Chevrot (2004) decomposition of the elasticity matrix. Calculate elasticity matrix for an isotropic polycrystal given the anisotropic single crystal matrix. Rotate elasticity matrix around three orthogonal axes. Rotate an elasticity matrix given Bunges convention for Euler angles. MS rotR Use a rotation matrix to rotate an elasticity matrix. Table 2 MSAT functions for the manipulation or transformation of elasticity matrices. All accept at least one elasticity matrix as an input argument and return at least one matrix as output. Function name MS anisotropy MS norms MS phasevels MS plot MS poisson Description and notes Measures of anisotropy defined by Zenner (1948), Chung and Buessem (1967), Ledbetter and Miglion (2006) and Ranganathan and Ostoja-Starzewski (2008). Browaeys and Chevrot (2004) analysis of the elasticity matrix. Calculate wave velocities in anisotropic media (Mainprice, 1990). Plot wave velocities and anisotropy pole figures. Poisson’s ratio in anisotropic media (Wojciechowski, 2005). MS sphere Plot a spherical plot of wave velocities or anisotropy from a set of elastic constants. Table 3 MSAT functions for the analysis and visualisation of elasticity matrices. These functions all accept at least one elasticity matrix as input but do not return elasticity as part of the output. 31
Page 1 and 2: MSAT - A new toolkit for the analys
Page 3 and 4: ing and modelling the seismic conse
Page 5 and 6: where the repeated indices on the r
Page 7 and 8: Weng, 1984) or cracks which are uni
Page 9 and 10: two values place an upper (Voigt) a
Page 11 and 12: 3.1 Design, development and documen
Page 13 and 14: toolkit we group the functions toge
Page 15 and 16: confirms that an elasticity matrix
Page 17 and 18: the mantle a possible mechanism for
Page 19 and 20: Figure 2 a) can exhibit both large
Page 21 and 22: on the observed effective splitting
Page 23 and 24: azimuthal anisotropy from shear wav
Page 25 and 26: 116, B08307. Kustowski, B., Ekströ
Page 27 and 28: Ranganathan, S. I., Ostoja-Starzews
Page 29: irefringence in nine-component VSP
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Page 37 and 38: Fig. 2. Classifications of models o
Page 39: 0.1 A L1 Az = 30; L2 dip = 00 B L1

MSAT - University of Bristol

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