Correlation and Mathematical Solution of Different Permeability Models to Derive and Assign New Appropriate Models (A Case Study: Egyptian Oil Reservoirs).”

Document Type : Original Article


1 Geological Engineering Department, Faculty of Petroleum and Mining Engineering, Suez University.

2 Exploration Department, Egyptian petroleum research institute

3 Egyptian Petroleum Research Institute

4 Suez University


The present work aims to correlate different absolute and relative permeability models to obtain the suitable models that can be utilized to estimate the permeability values of Rudeis and Kareem formations of some subsurface samples (Lower-Middle Miocene), San El-Hagar 1 well, East Nile Delta, Egypt. For this purpose, the samples are prepared and cleaned for the porosity and capillary pressure measurements, then many approaches have been used to estimate absolute and relative permeability.
Petrographic investigation shows that the sandstones can be classified as Feldspathic Quartz Wackes, while the carbonates can be classified as Bioclastic Sandy Wackestone. Five absolute permeability models are compared depending on the porosity and displacement pressure to select the appropriate model for estimating the absolute permeability. The comparison revealed that Schlumberger and the Aigbedion models are the best.
Three relative permeability models were utilized to estimate the relative permeability from capillary pressure data and differentiate between wetting and non-wetting phases. These models are correlated to form the composite mathematical correlation to express the relative permeability curves by one curve for every sample. Based on these results the wettability of the sandstone rock samples is better than the carbonate rock samples. It is best described by the Corey relative permeability model, where its cross-point value is close to the average value (between 0.5 and 0.6).


Main Subjects

  • Receive Date: 25 October 2021
  • Revise Date: 25 January 2022
  • Accept Date: 31 January 2022
  • First Publish Date: 31 January 2022