  We generalize Nakamaye's description, via intersection theory, of the
augmented base locus of a big and nef divisor on a normal pair with
log-canonical singularities or, more generally, on a normal variety with non-lc
locus of dimension at most 1. We also generalize
Ein-Lazarsfeld-Mustata-Nakamaye-Popa's description, in terms of valuations, of
the subvarieties of the restricted base locus of a big divisor on a normal pair
with klt singularities.
