Research Article
On the Equality of Electric Power Fractal Dimension and Capillary Pressure Fractal Dimension for Characterizing Shajara Reservoirs of the
Permo-Carboniferous Shajara Formation
Prof. Khalid Elyas Mohamed Elameen Alkhidir
Correspondence Address :
Department of Petroleum and Natural Gas
Engineering
College of Engineering
King Saud University
Saudi Arabia
Received on: February 12, 2019, Accepted on: February 25, 2019, Published on: March 04, 2019
Citation: Khalid Elyas Mohamed Elameen Alkhidir (2019). On The Equality of Electric Power Fractal Dimension and Capillary Pressure Fractal Dimension
for Characterizing Shajara Reservoirs of the Permo-Carboniferous Shajara Formation
Copyright: 2019 Khalid Elyas Mohamed Elameen Alkhidir. This is an open-access article distributed under the terms of the Creative Commons Attribution
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Abstract
The quality and assessment of a reservoir can be documented in details by the application of electric power. This research aims to calculate fractal dimension from the relationship among electric power, maximum electric power and wetting phase saturation (water saturation) and to confirm it by the fractal dimension derived from the relationship among capillary pressure and wetting phase saturation (water 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, electric power, maximum electric power 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 utilized. The first procedure was done by plotting the logarithm of the ratio between electric power and maximum electric power versus logarithm wetting phase saturation. The slope of the first procedure is positive = 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 is negative = Df -3. On the basis of 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. These units from bottom to top are: Lower Shajara Electric power Fractal Dimension Unit, Middle Shajara Electric power Fractal Dimension Unit, Upper Shajara Electric power Fractal Dimension Unit. The three reservoir units were also confirmed by capillary pressure fractal dimension. It was found that the obtained fractal dimension increases with increasing grain size and permeability.
Keywords: Shajara Reservoirs, Shajara Formation, Electric power fractal dimension, Capillary pressure fractal dimension