Seismic Time Fractal Dimension for Characterizing
Shajara Reservoirs of The Permo – Carboniferous
Shajara Formation, Saudi Arabia
Volume 2 - Issue 1
Khalid Elyas Mohamed Elameen Alkhidir*
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- Department of Petroleum and Natural Gas Engineering, college of Engineering, King Saud University, Riyadh, Saudi arabia
*Corresponding author:
Khalid Elyas Mohamed Elameen Alkhidir, Department of Petroleum and Natural Gas Engineering, college of
Engineering, King Saud University, Riyadh, Saudi arabia
Received: July 18, 2018; Published: July 26, 2018
DOI: 10.32474/MAOPS.2018.02.000128
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Abstract
The quality and assessment of a reservoir can be documented in detail by the demonstration of seismic time. This research
aims to calculate fractal dimension from the relationship among seismic time, maximum seismic time and wetting phase saturation
and to approve 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 contaminating the pores of sandstone samples in consideration. Two
equations for calculating the fractal dimensions have been employed. The first one defines the functional relationship between
wetting phase saturation, seismic time, maximum seismic time and fractal dimension. The second equation involves to the wetting
phase saturation as a function of capillary pressure and the fractal dimension. Two procedures for obtaining the fractal dimension
have been utilized. The first procedure was done by plotting the logarithm of the ratio between seismic time and maximum seismic
time versus logarithm wetting phase saturation. The slope of the first procedure = 3- Df (fractal dimension). The second procedure
for obtaining the fractal dimension was determined by plotting the logarithm of capillary pressure versus the logarithm of wetting
phase saturation. The slope of the second procedure = Df -3. Based on the obtained results of the fabricated stratigraphic column
and the attained values of the fractal dimension, the sandstones of the Shajara reservoirs of the Shajara Formation were divided here
into three units. The gained units from bottom to top are: Lower Shajara seismic time Fractal Dimension Unit, Middle Shajara seismic
time Fractal dimension Unit, and Upper Shajara seismic time Fractal Dimension Unit. The results show similarity between seismic
time fractal dimension and capillary pressure fractal dimension. It was also noted that samples with wide range of pore radius
were characterized by high values of fractal dimensions due to an increase in their connectivities. In our case, and as conclusions
the higher the fractal dimension, the higher the heterogeneity, the higher the permeability, the better the reservoir characteristics.
Abstract|
Introduction|
Materials and Methods|
Results and Discussion|
Conclusion|
Acknowledgment|
Introduction|
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