Origin of Methods used by LVFPM; Experimental Confirmation
The LVFPM model accurately describes the propagation of neutrons and gamma rays in laminated porous media in which the pores have finite sizes. The earliest work on this subject appears to be (translating from Russian) "Concerning a Procedure for the Interpretation of Neutron Measurements in Media with Inclusions" in 1967 by V. F. Zakharchenko; in Nuclear Geophysics Investigations, Vol. 6, pp. 3-11, Sverdlovsk. He used boundary conditions associated with the neutron diffusion differential equation to describe finite pore size effects on neutron absorption.
Doctor Neutron uses an entirely different integral technique based on the identification of all internal model neutron scattering and absorption macroscopic cross sections with transmission probabilities. Recently Doctor Neutron extended these methods to gamma ray linear attenuation coefficients using the data from Hubbell and Seltzer.
In 1988, Gabanska and Krynicka-Drozdowicz constructed a Lucite matrix and loaded silver into its pores and obtained experimental values of the neutron capture cross section SIGMA. The forward model LVFPM fits their experimental data extremely well.
Also see these two articles by V. A. Artsybashev, Mining Institute, Leningrad, U.S.S.R.:
"Heterogeneity Theory in Nuclear Geophysics-I. Basic Heterogeneity Theory", Nuclear Geophysics, Vol. 5 No. 3, pp.247-255, 1991; and
"Heterogeneity Theory in Nuclear Geophysics-II. Applications of Heterogeneity Theory to Energy Dispersive x-Ray Fluorescence and Neutron Methods", Nuclear Geophysics, Vol. 5 No. 3, pp.257-265, 1991.
These articles were translated from the Russian and printed in Great Britain by Pergamon Press.