Time dependence of the mass flux through the black hole horizon (top panel), horizon-integrated magnetic flux (middle panel), and the so-called MAD-ness parameter, ϕ_BH, given by Eq. (5), (bottom panel). Blue lines denote the models with initial gas-to-magnetic pressure ratio, β = 100, cyan lines present the results for β = 50, and green lines denote β = 30. Black hole spin parameter in all models is a = 0.9. The disk inner radius is located at 6 and maximum pressure radius at 13 r_g (GRB-type models).