  The present study investigates the feasibility of employing Cherenkov
Telescope Array (CTA) technology for the detection of ultra-high-energy (UHE)
neutrino-tau particles. By observing the Cherenkov light produced by charged
particles resulting from neutrino-tau interactions within mountainous regions,
the research seeks to assess the viability of detecting neutrinos within the
PeV to EeV energy range. The present paper details the methodology used to
calculate the effective detection area and the interaction probabilities of
neutrino-tau within the mountains, as well as the flux of Cherenkov photons
generated by tau leptons. Furthermore, the present paper addresses the
selection of optimal parameters for the telescopes, including mountain
dimensions, telescope height, the distance between telescopes, and the distance
from the telescopes to the mountain. Strategic placement of the telescopes and
the identification of mountain ranges in Algeria that are most suitable for
detecting these elusive particles are also discussed. The findings and
recommendations for the optimal distribution of telescopes across the selected
mountain range are presented, aiming to enhance the detection capabilities for
high-energy neutrino-tau particles.
