Table 1 The parameters β and b1 determined by different electrical conductivity relations.

From: Bridging the connection between effective viscosity and electrical conductivity through water content in the upper mantle

Laboratory-based relation

re

α

β

b 1

\({{\boldsymbol{\sigma }}}_{{\bf{Y}}}\) and \({{\boldsymbol{\sigma }}}_{{\bf{J}}}\) in eV/wt %; \({{\boldsymbol{\sigma }}}_{{\bf{G}}}\) in kJ/mol/wt ppm1/3

\({{\rm{\sigma }}}_{{\rm{Y}}}\) ( 34 )

1

0.16 ± 0.02

0.192

0.4

\({{\rm{\sigma }}}_{{\rm{G}}}\) ( 19 )

1

2.08 ± 0.55

2.496

0.4

\({{\rm{\sigma }}}_{{\rm{J}}}\) ( 33 )

0.86

0.09 ± 0.08

0.126

0.465