The quality of a reservoir can be described in details by the application of transverse relaxation time of nuclear
magnetic resonance fractal dimension. The objective of this research is to calculate fractal dimension from the
relationship among transverse relaxation time of nuclear magnetic resonance, maximum transverse relaxation time of
nuclear magnetic resonance and wetting phase saturation and to confirm it by the fractal dimension derived from the
relationship among capillary pressure and wetting phase saturation. In this research, porosity was measured on real
collected sandstone samples and permeability was calculated theoretically from capillary pressure profile measured
by mercury intrusion techniques. Two equations for calculating the fractal dimensions have been employed. The first
one describes the functional relationship between wetting phase saturation, transverse relaxation time of nuclear
magnetic resonance, maximum transverse relaxation time of nuclear magnetic resonance and fractal dimension. The
second equation implies to the wetting phase saturation as a function of capillary pressure and the fractal dimension.
Two procedures for obtaining the fractal dimension have been developed. The first procedure was done by plotting
the logarithm of the ratio between transverse relaxation time of nuclear magnetic resonance and maximum transverse
relaxation time of nuclear magnetic resonance versus logarithm wetting phase saturation. The slope of the first
procedure = 3-Df (fractal dimension). The second procedure for obtaining the fractal dimension was completed by
plotting logarithm of capillary pressure versus the logarithm of wetting phase saturation. The slope of the second
procedure = Df -3. The results show similarities between transverse relaxation time of nuclear magnetic resonance
and capillary pressure fractal dimension.
Transverse Relaxation Time Fractal Dimension of Nuclear Magnetic Resonance for
Characterizing Shajara Reservoirs of the Permo-Carboniferous Shajara Formation,
Saudi Arabia