Abstract
Context. Supergranules create a peak in the spatial spectrum of photospheric velocity features.
Even though they have some properties of convection cells, their origin is still being debated in the literature. The time-distance helioseismology constitutes a method that is suitable for investigating the deep structure of supergranules.Aims.
Our aim is to construct the model of the flows in the average supergranular cell using fully consistent time-distance inverse methodology.Methods. We used the Multi-Channel Subtractive Optimally Localised Averaging inversion method with regularisation of the cross-talk.
We combined the difference and the mean travel-time averaging geometries. We applied this methodology to travel-time maps averaged over more than 10(4) individual supergranular cells.
These cells were detected automatically in travel-time maps computed for 64 quiet days around the disc centre. The ensemble averaging method allows us to significantly improve the signal-to-noise ratio and to obtain a clear picture of the flows in the average supergranule.Results.
We found near-surface divergent horizontal flows which quickly and monotonously weakened with depth; they became particularly weak at the depth of about 7 Mm, where they even apparently switched sign. The amplitude of the 'reversed' flow was comparable to the background flows.
The inverted vertical flows and sound-speed perturbations were spoiled by unknown systematic errors. To learn about the vertical component, we integrated the continuity equation from the surface.
The derived estimates of the vertical flow depicted a sub-surface increase from about 5 m s(-1) at the surface to about 35 m s(-1) at the depth of about 3 Mm followed by a monotonous decrease to greater depths. The vertical flow remained positive (an upflow) and became indistinguishable from the background at the depth of about 15 Mm.
We further detected a systematic flow in the longitudinal direction. The course of this systematic flow with depth agrees well with the model of the solar rotation in the sub-surface layers.