Study with WhoSGlAd of the acoustic depth of the helium glitch across the seismic HR diagram and its impact on the inferred helium abundance

The acoustic glitches' signature present in solar-like stars holds invaluable information. Indeed, it is caused by a sharp variation the sound speed, therefore carrying localised One such glitch helium hydrogen and first second partial ionisation region, allowing us to constrain surface abundance. However, function adjusted depends non-linearly on depth at which occurs, He. Retrieving faint estimating $\tau_{\textrm{He}}$ are difficult but crucial tasks accurately measure parameters and, ultimately, infer In paper, we aim providing way estimate using precise seismic indicators, independent of stellar modelling. Consequently, improving WhoSGlAd (Whole Spectrum Glitches Adjustment) method automatically model glitch's parameters. We compute evolution $T_{\textrm{He}}$, dimensionless form depth, along grid models adjust an empirical linear relation between $T_{\textrm{He}}$ mean large separation frequency ratio as defined WhoSGlAd. further optimise over value this ensure stability accuracy approach. proposed approach provides excellent allows swiftly retrieve observed spectra. demonstrate that can abundance four Kepler targets comparing (both versions WhoSGlAd) literature values.