“…For Φ = 0 and by comparison with measurements from Bagdassarov and Dingwell (), Wadsworth, Vasseur, Llewellin, Genareau, et al () calibrated these two parameters in the range 550–1100°C as D 0 = 1.88 × 10 −7 m 2 /s and α = 1.58 × 10 −3 K −1 . D 0 (Φ) is then given by (see Connor et al, ) for which k (Φ) = D 0 ρC p (1 − Φ)/(1 + Φ) is the vesicularity‐dependent thermal conductivity (Bagdassarov & Dingwell, ), ρ and ρ w are the melt and water densities respectively, and C p and C p , w are the specific heat capacities. We used ρ = 2,200 kg/m 3 and C p = 1,000 J·kg·K − , and looked at R in the range 5–500 mm and Φ between 0.2 and 0.6.…”