Origin of Methods used by LVPM;
The LVPM 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 LVPM 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.