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*

Received: September 09, 2018;   Published: September 21, 2018

DOI: 10.32474/MAOPS.2018.02.000134

Full Text PDF

To view the Full Article   Peer-reviewed Article PDF

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| Introduction| Method and Materials| Results and Discussion| Conclusion| Acknowledgement| References|