Ht. Hsieh et al., MEASUREMENT OF POROUS-MEDIA COMPONENT CONTENT AND HETEROGENEITY USINGGAMMA-RAY TOMOGRAPHY, Water resources research, 34(3), 1998, pp. 365-372
Tomographic images of porous media are complex distributions of linear
attenuation coefficients that reflect the combined effects of scannin
g spatial resolution, photon statistical measurement errors, and true
material densities. We address how the true voxel-scale attenuation di
stribution and measurement errors are convoluted to yield measured den
sity frequency distributions. A deconvolution algorithm is demonstrate
d that uses the measured density frequency distributions and known pho
ton statistical errors to quantify average cross-section volume conten
ts of pure components and a mixed-component phase. The mixed-component
phase represents regions where components are intertwined or varied i
n spaces smaller than the scanning resolution. This approach is applie
d to a complex core of the Culebra Dolomite Member of the Rustler Form
ation collected at the Waste Isolation Pilot Plant, near Carlsbad, New
Mexico. The methodology provides a quantitative measure of the volume
content of gypsum, dolomite, and mixed-components, and heterogeneity
in the sample.