  Atmospheric neutrinos can act as a tool to probe the interior of Earth using
weak interactions, and can provide information complementary to that obtained
from gravitational and seismic measurements. While passing through Earth,
multi-GeV neutrinos encounter Earth matter effects due to the coherent forward
scattering with the ambient electrons, which alter the neutrino oscillation
probabilities. These matter effects depend upon the density distribution of
electrons inside Earth, and hence, can be used to determine the internal
structure of Earth. In this work, we employ a five-layered model of Earth where
the layer densities and radii are modified, keeping the mass and moment of
inertia of Earth unchanged and respecting the hydrostatic equilibrium
condition. We use the proposed INO-ICAL detector as an example of an
atmospheric neutrino experiment that can distinguish between neutrinos and
antineutrinos efficiently in the multi-GeV energy range. Our analysis
demonstrates the role such an experiment can play in simultaneously
constraining the density jumps inside Earth and the location of the core-mantle
boundary.
