Seismo Mechanical Force Fractal Dimension for
Characterizing Shajara Reservoirs of the Permo-
Carboniferous Shajara Formation, Saudi Arabia
Volume 2 - Issue 2
Khalid Elyas Mohamed Elameen Alkhidir*
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- Department of Petroleum and Natural Gas Engineering, King Saud University, 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: September 09, 2018; Published: September 21, 2018
DOI: 10.32474/MAOPS.2018.02.000134
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Abstract
The quality and assessment of a reservoir can be recognized in details by the presentation of seismo mechanical force.
This research targets to calculate fractal dimension from the relationship among seismo mechanical force, maximum seismo
mechanical force 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, seismo mechanical force, maximum seismo mechanical force
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 seismo mechanical force and maximum seismo mechanical force 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. 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. The gained
units from bottom to top are: Lower Shajara seismo mechanical force Fractal Dimension Unit, Middle Shajara seismo mechanical
force Fractal dimension Unit, and Upper Shajara seismo mechanical force Fractal Dimension Unit. The results show similarity
between seismo mechanical force 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|
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Method and Materials|
Results and Discussion|
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