Magnetic helicity and energy budget around large confined and eruptive solar flares

We investigate the coronal magnetic energy and helicity budgets of ten solar ARs, around times large flares. In particular, we are interested in a possible relation derived quantities to particular type flares that AR produces, i.e., whether they associated with CME or confined. Using an optimization approach, employ time series 3D nonlinear force-free field models covering span several hours occurrence (GOES class M1.0 larger). subsequently compute vector potentials model using finite-volume method. This allows us correspondingly budgets, as well related (intensive) such relative contribution free energy, $E_{\mathrm{F}}/{E}$ (energy ratio), fraction non-potential (current-carrying) helicity, $|H_{\mathrm{J}}|/|{H_{V}}|$ (helicity normalized current-carrying $|H_{\mathrm{J}}|/{\phi^{\prime}}^{2}$. The total flare-productive ARs (extensive parameters) cover broad range magnitudes, no obvious eruptive potential individual not is produced association flare. intensive eruptivity proxies, $|H_{\mathrm{J}}|/|{H_{V}}|$, $|H_{\mathrm{J}}|/{\phi^{\prime}}^{2}$, however, seem be distinctly different for CME-associated compared those which confined For majority our sample, able identify characteristic pre-flare magnitudes quantities, clearly subsequent CME-productivity.