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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.

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