Electric potential gradient fractal dimensions for characterizing shajara reservoirs of the shajara formation of the permo carboniferous unayzah group, saudi arabia

1. Electric potential gradient fractal dimensions for
characterizing Shajara reservoirs of the Shajara
Formation of the Permo-Carboniferous Unayzah
Group, Saudi Arabia
Professor Khalid Elyas Mohamed Elameen Alkhidir
Department of petroleum and Natural Gas Engineering.
King Saud University Riyadh, Saudi Arabia

2. Al-Khidir et al 2010 Reservoirs Heterogeneity Characterization of
the Shajara Member: Permo-Carboniferous Unayzah Formation.
The 2nd Saudi meeting on Oil and Natural Gas Exploration and
production Technologies
King Fahad university of Petroleum and minerals Campus,
Dhahran, saudi Arabia December 18 - 20, 2010
http://saudiarabiaoilandgas.com/magazines/SAOG_ISSUE_17/saog
17.pdf
Al-khidir et al 2011 Bimodal pore size behavior of the Shajara
Formation Reservoirs of the Permo-Carboniferous Unayzah
Group, Saudi Arabia

3. Journal of petroleum exploration and Production technology
http://fac.ksu.edu.sa/sites/default/files/Bimodal_Shajara.pdf
Al-khidir et al 2012 Characterization of heterogeneity of the Shajara
reservoirs of the Shajara formation of the Permo-Carboniferous Unayzah
group.
Arabian Journal of Geoscienes
http://fac.ksu.edu.sa/sites/default/files/characterization_of_heterogeneity_
of_the_shajara_reservoirs_of_the_shajara_formation_of_the_permo-
carboniferous_unayzah_group.pdf
Al-Khidir et al Geoscience; New Findings Reported from King Saud
University Describe Advances in Geoscience Science Letter (Oct 25, 2013):
359.
http://search.proquest.com/docview/1442487929?accountid=44936

4. Al-Khidir et al 2013 Differential Capacity Fractal Dimension and
Water Saturation Fractal Dimension as Parameters for Reservoir
Characterization: Shajara Formation of the Permo-Carboniferous
Unayzah Group as a Case Study.
10th Meeting of the Saudi Society for Geoscience “Geosciences for
Sustainable Development” 15-17 April, 2013 King Fahad university
of petroleum and minerals Campus, Dhahran, Saudi Arabia.
https://www.scribd.com/document/139694517/Differential-
Capacity-Fractal-Dimension-and-Water-Saturation-Fractal-
Dimension-as-Parameter-for-Reservoir-Characterization-Shajara-
Formation-of-the

5. Al-Khidir 2015 Induced Polarization
Relaxation Time Fractal Dimension Derived
from Capillary pressure data for
characterizing Shajara Reservoirs of the
shajara Formation of the Permo-
carboniferous Unayzah Group.
The Eleventh International Geological
Conference 23 – 25 Rajab 1436 12 – 14 May
2015.
https://sciences.ksu.edu.sa/sites/sciences.ksu.e
du.sa/files/imce_images/program-geo.pdf

6. Al-Khidir 2017 Nuclear magnetic resonance relaxation time as a
diagnostic parameter for reservoir .
International Conference on Petrochemical Engineering July 10-
12, 2017 Dubai, UAE.
http://fac.ksu.edu.sa/kalkhidir/publication/206478
Al-Khidir 2017 Pressure Head Fractal Dimension for
Characterizing Shajara Reservoirs of the Shajara Formation of the
Permo-Carboniferous Unayzah Group, Saudi Arabia.
Archives of Petroleum Environmental Biotechnology
http://fac.ksu.edu.sa/sites/default/files/apeb-113.pdf

7. Al-khidir 2017 On the equality of resistivity fractal
dimension and geometric relaxation time fractal
dimension of induced polarization for characterizing
Shajara Reservoirs of the Shajara Formation of the
Permo-Carboniferous Unayzah Group, Saudi Arabia
International Meeting On petroleum engineering ,
Singapore November 7- 8, 2017
https://d2cax41o7ahm5l.cloudfront.net/mi/pdfs/petroleum
-meeting-2017-16001-tentative-program33276.pdf
http://fac.ksu.edu.sa/sites/default/files/khalid_al-
khidir_al2017.pdf

8. Stratigraphic column of the type section of the Permo-carboniferous Shajara
Formation of the Unayzah Group, Wadi Shajara, Qusayba area, al Qassim
district, Saudi Arabia, N 26 52 17.4, E 43 36 18

9. Sample SJ1,Φ=29%,K=1680 mD, electric potential gradient fractal
dimension=2.7859 , capillary pressure fractal dimension=2.7859

10. Sample SJ2,Φ=35%,K=1955 mD, electric potential gradient fractal
dimension=2.7748 , capillary pressure fractal dimension=2.7748

11. Sample SJ3,Φ=34%,K=56 mD, electric potential gradient fractal
dimension=2.4379 , capillary pressure fractal dimension=2.4379

12. Sample SJ4,Φ=30%,K=176 md, electric potential gradient fractal
dimension=2.6843 , capillary pressure fractal dimension=2.6843

13. Sample SJ7,Φ=35%,K=1472 mD, electric potential gradient fractal
dimension=2.7683 , capillary pressure fractal dimension=2.7683

14. Sample SJ8,Φ=32%,K=1344 mD, electric potential gradient fractal
dimension=2.7752 , capillary pressure fractal dimension=2.7752

15. Sample SJ9,Φ=31%,K=1394 mD, electric potential gradient fractal
dimension=2.7786 , capillary pressure fractal dimension=2.7786

16. Sample SJ11,Φ=36%,K=1197 mD, electric potential gradient
fractal dimension=2.7586 , pressure fractal dimension=2.7586

17. Sample SJ12,Φ=28%,K=1440 mD, electric potential gradient fractal
dimension=2.7859 , capillary pressure fractal dimension=2.7859

18. Sample SJ13,Φ=25%,K=973 mD, electric potential gradient fractal
dimension=2.7872 , capillary pressure fractal dimension=2.7872

19. Electric potential gradient fractal dimension
versus capillary pressure fractal dimension

20. Petrophysical model showing the three Shajara reservoirs with their electric
potential gradient fractal dimension and capillary pressure fractal dimension values
Reservoirs Φ% K md Electric potential
gradient fractal
dimension
Capillary
pressure
fractal
dimension
Lower
Shajara
Reservoir
29 1680 2.7859 2.7859
35 1955 2.7748 2.7748
34 56 2.4379 2.4379
30 176 2.6843 2.6843
Middle
Shajara
reservoir
35 1472 2.7683 2.7683
32 1344 2.7752 2.7752
31 1394 2.7786 2.7786
Upper
Shajara
Reservoir
36 1197 2.7586 2.7586
28 1440 2.7859 2.7859
25 973 2.7872 2.7872

21. Conclusions
 The sandstones of the Shajara Reservoirs of
the Shajara formation of the permo-
Carboniferous Unayzah group were divided
here into three units based on electric
potential gradient fractal dimension.
The Units from base to top are: Lower Shajara
electric potential gradient Fractal dimension
Unit, Middle Shajara Electric Potential
Gradient Fractal Dimension Unit, and Upper
Shajara Electric Potential Gradient Fractal
Dimension Unit.

22. These units were also proved by capillary
pressure fractal dimension.
The fractal dimension was found to increase
with increasing grain size and permeability.

23. Thank you