Delta *

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was defined as [1]:

where indicate elements in the elastic stiffness matrix. It was used to derive :

which is the most critical factor for Polar anisotropy[2]:


  1. Thomsen, Leon (1986). "Weak elastic anisotropy". GEOPHYSICS 51 (10): 1954–1966. doi:10.1190/1.1442051. PDF version.
  2. Thomsen, Leon (2002). Understanding Seismic Anisotropy in Exploration and Exploitation. Society of Exploration Geophysicists. doi:10.1190/1.9781560801986.