Seismo electric field fractal dimension for
characterizing Shajara reservoirs of the Permo-Carboniferous
Shajara Formation, Saudi Arabia
Accepted 8th
May, 2018
Khalid Elyas Mohamed Elameen
Alkhidir
Department of Petroleum and Natural Gas Engineering, College of Engineering,
King Saud University, Saudi Arabia.
The quality of a reservoir
can be described in details by the application
of seismo electric field fractal dimension. The
objective of this research is to calculate
fractal dimension from the relationship among
seismo electric field, maximum seismo electric
field 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 were employed. The first one
describes the functional relationship between
wetting phase saturation, seismo electric field,
maximum seismo electric field 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 were also developed. The first
procedure was done by plotting the logarithm of
the ratio between seismo electric field and
maximum seismo electric field 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 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 constructed
stratigraphic column and the acquired values of
the fractal dimension, the sandstones of the
Shajara reservoirs of the Shajara formation were
divided into three units. The gained units from
bottom to top are: Lower Shajara Seismo Electric
Field Fractal Dimension Unit, Middle Shajara
Seismo Electric Field Fractal dimension Unit and
Upper Shajara Seismo Electric Field Fractal
Dimension Unit. The results show similarity
between seismo electric field 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 dimension due to an increase in their
connectivity and seismo electric field. In our
case, and as conclusions the higher the fractal
dimension, the higher the permeability and the
better the shajara reservoir characteristics.
Key words:
Shajara reservois, Shajara formation, seismo
electric field fractal dimension.
This is an open access article
published under the terms of the
Creative Commons Attribution
License, which permits unrestricted use, distribution, and
reproduction in any medium, provided the original work is
properly cited.
Cite this article as:
Alkhidir KEME (2018). Seismo electric
field fractal dimension for characterizing Shajara reservoirs of the Permo-Carboniferous
Shajara Formation, Saudi Arabia. Acad. J. Environ. Sci. 6(5): 113-120.
