A mathematical formalism is developed whereby the expected signal from a delayed fission neutron uranium logging experiment can be calculated efficiently. An assumption that the logging geometry can be approximated by one‐dimensional spherical geometry is made in order to facilitate the calculation of neutron‐transport results that are needed to evaluate the formalism. Sample results from these calculations are used to form a comparison of the magnitudes of prompt and delayed fission neutron logging signals, respectively, for various observation times and amounts of water in the logging borehole.