Thermodynamic constraints on seismic inversions

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The thermal structure of the lithosphere from shear wave velocities (2006, methodology): “The dashed blue line shows Vs(z,Θ) from Faul and Jackson's [12] expressions for a grain size of 1 mm, and the dashed green line shows that from Shapiro and Ritzwoller's [39] expressions (A11) and (A13), calculated using A=0.”
Modelling post-glacial rebound with lateral viscosity variations (2005, methodology): “For depths less than 400 km this is accomplished by a direct conversion based on mineral properties (Shapiro & Ritzwoller 2004).”
Cooling history of the Pacific lithosphere (2003, methodology): “Two different parameterizations are used: a purely seismic parameterization [21] and a temperature parameterization which is based on a thermal model of the lithosphere and underlying asthenosphere [22].”
Temperature, lithosphere‐asthenosphere boundary, and heat flux beneath the Antarctic Plate inferred from seismic velocities (2015, methodology): “…using a nonlinear inversion and laboratory measurements of the density and elastic moduli of various mantle minerals at high temperatures and pressures [e.g., Goes et al., 2000; Röhm et al., 2000; Goes and Van der Lee, 2002; Cammarano et al., 2003; Shapiro and Ritzwoller, 2004a; AN ET AL.”