Neutrino Absorption Tomography of the Earth's Interior using Isotropic Ultra-high Energy Flux

We study the feasibility of using an isotropic flux of cosmic neutrinos in the energy range of 10 to 10000 TeV to study the interior structure of Earth. The angular distribution of events in a $\sim {\rm km}^3$-scale neutrino telescope can be inverted to yield information on the Earth's mass distribution that is independent of other methods. The energy spectrum of the neutrino primaries is also determined from consistency with the angular distribution. It is possible to make a model independent determination of the density profile of Earth's interior, separate from the absolute normalization of the incident cosmic neutrinos