Seismic Shear Wave Velocity Fractal Dimension for Characterizing Shajara Reservoirs of the Permo-Carboniferous Shajara Formation, Saudi Arabia

The quality and assessment of a reservoir can be documented in details by the application of seismic shear wave. Thisresearch aims to calculate fractal dimension from the relationship among seismic shear wave velocity, maximum seismicshear wave velocity and wetting phase saturation and to approve it by the fractal dimension derived from the relationshipamong capillary pressure and wetting phase saturation. Two equations for calculating the fractal dimensions havebeen employed. The first one describes the functional relationship between wetting phase saturation, seismic shearwave velocity and maximum seismic shear wave velocity and fractal dimension. The second equation implies to thewetting phase saturation as a function of capillary pressure and the fractal dimension. Two procedures for obtainingthe fractal dimension have been utilized. The first procedure was done by plotting the logarithm of the ratio betweenseismic shear wave velocity and maximum seismic shear wave velocity versus logarithm wetting phase saturation.The slope of the first procedure = 3- Df (fractal dimension). The second procedure for obtaining the fractal dimensionwas determined by plotting the logarithm of capillary pressure versus the logarithm of wetting phase saturation. Theslope of the second procedure = Df -3. On the basis of the obtained results of the fabricated stratigraphic column andthe attained values of the fractal dimension, the sandstones of the Shajara reservoirs of the Shajara Formation weredivided here into three units.