Аннотация:Oil-field equipment can contain radioactive scale and sludge, both of which
form coatings or sediments. Both of the scale and the sludge contain significant
amounts of naturally occurring radioactive elements such as uranium, radium and
radon, which are dissolved in the water and thorium during the process of oil and
gas production. These radioactive scales and sludge give rise to radiation hazards to
the exposed individuals as a result of exposure radiation dose. The present approach
makes easy the calculation of the distance between any points on the surface of
contaminated equipment (i.e. oil pipe) with radioactive scale which coats the inner
wall of the oil pipe. The suggested approach was carried out by two methods of
calculations (analytical and numerical methods) and the results of the two methods
are very close. A model was designed for calculations and can be used for the
prediction of radiation dose within a certain interval of time.