Abstract: A logging-while-drilling density sensor includes a gamma ray source and at least two NaI detectors spaced apart from the source for determining measurements indicative of the formation density. A magnetometer on the drill collar measures the relative azimuth of the NaI detectors. Measurements made by the detectors are partitioned into bins defined by azimuth. A compensated bulk density is determined for selected ones of said azimuthal sectors that meet a threshold test related to a minimum difference of measurements or a minimum correction. The method of the invention may also be used with neutron porosity logging devices.