The observation of short gamma ray bursts (SGRBs) in the TeV energy range
plays an important role in understanding the radiation mechanism and probing
new areas of physics such as Lorentz invariance violation. However, no SGRB has
been observed in this energy range due to the short duration of SGRBs and the
weakness of current experiments. New experiments with new technology are
required to detect sub-TeV SGRBs. In this work, we observe the very high energy
(VHE) γ-ray emissions from SGRBs and calculate the annual detection rate
with the High Altitude Detection of Astronomical Radiation HADAR (HADAR)
experiment. First, a set of pseudo-SGRB samples is generated and checked using
the observations of Fermi-GBM, Fermi-LAT, and SWIFT measurements. The annual
detection rate is calculated from these SGRB samples based on the performance
of the HADAR instrument. As a result, the HADAR experiment can detect 0.5 SGRB
per year if the spectral break-off of γ-rays caused by the internal
absorption is larger than 100 GeV. For a GRB09010-like GRB in HADAR's view, it
should be possible to detect approximately 2000 photons considering the
internal absorption. With a time delay assumption due to the Lorentz invariance
violation effects, a simulated light curve of GRB090510 has evident energy
dependence. We hope that the HADAR experiment can perform the SGRB observations
and test our calculations in the future