Density calculation of wood by portable X-ray tube with consideration of penetrating depth

A portable X-ray apparatus generates soft X-rays which have a continuous wavelength (wide range). When using continuous wavelength X-rays, the mass attenuation coefficient of the soft X-rays is changed as the penetrating depth in wood increases, unlike monochromatic X-rays which are usually used for medical purposes. In safety inspections of historic buildings, penetrating depth varies in an X-ray radiograph. Computerized tomography (CT) is a powerful tool that helps determine the density information of the inner sections of buildings. Because only portable X-rays can be used in historic buildings and the penetrating depth can vary, the mass attenuation coefficient of wood according to penetrating depth needs to be investigated. Therefore, in this study, we developed a statistical method which takes into account the influence of the penetrating depth on a density calculation made by a portable X-ray apparatus. X-ray tests were conducted on wood specimens of various depths. From the results, a statically determined mass attenuation coefficient (SMAC) ($$ \mu = - 0.214\ln (t) + 0.7251 $$μ=-0.214ln(t)+0.7251), which is the equation of mass attenuation coefficient according to the penetrating depth in wood, was derived to convert radiographs to density radiographs. All projections were converted into density profiles using two methods, average mass attenuation coefficient and SMAC. Based on the density profile for each projection, a density distribution of a cross-section was reconstructed by filtered back projection. Compared with the cases using a consistent mass attenuation coefficient, SMAC provided much higher precision in density prediction than the average mass attenuation coefficient.