  We advocate an idea that the presence of the daily and annual modulations of
the axion flux on the Earth surface may dramatically change the strategy of the
axion searches. Our computations are based on the so-called Axion Quark Nugget
(AQN) dark matter model which was originally put forward to explain the
similarity of the dark and visible cosmological matter densities $\Omega_{\rm
dark}\sim \Omega_{\rm visible}$. In our framework, the population of galactic
axions with mass $ 10^{-6} {\rm eV}\lesssim m_a\lesssim 10^{-3}{\rm eV}$ and
velocity $< v_a>\sim 10^{-3} c$ will be always accompanied by the axions with
typical velocities $<v_a>\sim 0.6 c$ emitted by AQNs. We formulate the
broadband detection strategy to search for such relativistic axions by studying
the daily and annual modulations. We describe several tests which could
effectively discriminate a true signal from noise. These AQN-originated axions
can be observed as correlated events which could be recorded by synchronized
stations in the global network. The correlations can be effectively studied if
the detectors are positioned at distances shorter than a few hundred
kilometres.
