Gamma Density

Background
The density (ρ) of a material is a measure of how tightly the matter within it is packed together and is given by the ratio of its mass (m) to its volume (V). Its SI units are kilograms per cubic metre (kg/m3). It is also sometimes given in the cgs units of grams per cubic centimetre (g/cc).

Bulk density is a property of powders, granular and multi-phase materials, especially used in reference to soils and sediments. It is defined as the mass of any particles of the material divided by the total volume they occupy. The total volume includes particle volume, inter-particle void volume and pore volume. The bulk density of soils and sediments depends greatly on their mineral make up and the degree of compaction and as a result bulk density can change as a result of handling. Bulk density is usually measured using gravimetric and volumetric techniques so to differentiate the measurements made using the MSCL the term gamma density is used. The measurement can also referred to as GRAPE (gamma ray attenuation porosity evaluator).

Operating Principle
A gamma ray source and detector are mounted across the core on a sensor stand that aligns them with the centre of the core. A narrow beam of collimated gamma rays is emitted from a Caesium-137 source with energies principally at 0.662 MeV. These photons pass through the core and are detected on the other side. At this energy level the primary mechanism for the attenuation of gamma rays is by Compton scattering. The incident photons are scattered by the electrons in the core with a partial energy loss. The attenuation, therefore, is directly related to the number of electrons in the gamma ray beam (core thickness and electron density). By measuring the number of transmitted gamma photons that pass through the core unattenuated the density of the core material can be determined.

To differentiate between scattered and transmitted photons the gamma detector system only counts those photons that have the same principal energy of the source. To do this a counting window is set which spans the region of interest around 0.662 MeV.

Calibration and Processing
The simplest and most reliable method for the calibration and calculation of gamma density is to use an empirical approach which has been shown to provide excellent results. The technique relies on calibrating the system using both the liner in which the core is contained and the fluid which the sediment contains. For example; when using a whole core with water saturated sediments a calibration section should be made which consists of a cylindrical piece of aluminium of varying thickness surrounded completely by water in a sealed liner. For a dry core the calibration should be done with aluminium in a dry half liner.

Porosity can be calculated directly from gamma density if the following is known or can be sensibly assumed:

  • the sediment is fully saturated (this can be water, air or any other fluid)
  • mineral grain density
  • fluid density

Applications
Gamma density data can provide a precise and high resolution record of bulk density, an
indicator of lithology and porosity changes. The records are frequently used for
core to core correlation. Another important application is the calculation of
acoustic impedance and construction of synthetic seismograms.

For further information please contact us.

MSCL Systems