  Fluences of solar energetic particles (SEPs) are not easy to evaluate,
especially for high-energy events (i.e. ground-level enhancements, GLEs).
Earlier estimates of event-integrated SEP fluences for GLEs were based on
partly outdated assumptions and data, and they required revisions. Here, we
present the results of a full revision of the spectral fluences for most major
SEP events (GLEs) for the period from 1956 -- 2017 using updated low-energy
flux estimates along with greatly revisited high-energy flux data and applying
the newly invented reconstruction method including an improved neutron-monitor
yield function. Low- and high-energy parts of the SEP fluence were estimated
using a revised space-borne/ionospheric data and ground-based neutron monitors,
respectively. The measured data were fitted by the modified Band function
spectral shape. The best-fit parameters and their uncertainties were assessed
using a direct Monte Carlo method. As a result, a full reconstruction of the
event-integrated spectral fluences was performed in the energy range above 30
MeV, parametrised, and tabulated for easy use along with estimates of the 68%
confidence intervals. This forms a solid basis for more precise studies of the
physics of solar eruptive events and the transport of energetic particles in
the interplanetary medium, as well as the related applications.
