  Neutrino oscillation experiments in the past decades have greatly improved
our knowledge on neutrinos by measuring the fundamental neutrino parameters.
The ongoing and upcoming neutrino oscillation experiments are intended to pin
down the neutrino mass hierarchy and to discover the leptonic CP violation. By
means of neutrino oscillograms, we analyze the impact of non-standard neutrino
interactions on neutrino oscillations in the Earth matter. The standard
neutrino oscillation probabilities may be significantly changed by non-standard
interaction parameters, and in particular, the CP-violating effects in the
energy range E = 1 ~ 20 GeV are greatly enhanced. In addition, the event rates
of muon neutrinos in the proposed huge atmospheric neutrino experiment, PINGU
at the South Pole, have been estimated in the presence of non-standard neutrino
interactions. It has been found that the PINGU experiment has very good
sensitivities to the non-standard neutrino interaction parameters.
