Received on: February 18, 2018
Accepted on: February 28, 2018
Published on: March 10, 2018
Khalid Elyas Mohamed Elameen Alkhidir,
Department of Petroleum and Natural Gas Engineering, College of
Engineering, King Saud University, Saudi Arabia. E-mail: kalkhidir@ksu.
edu.sa; Tel: +966 11 4679118
The phenomenon of electrical induced polarization (IP) in water-bearing sediments was reported by . Laboratory study of induced polarization in sandstone rocks with varying salinity and shalyness was investigated by . An increase of induced polarization effect with increasing permeability, increasing porosity, and decreasing shalyness was examined by . An increase of permeability with increasing geometric and arithmetic induced polarization relaxation time and increasing porosity was confrmed by .
A new integrated model with relaxation time spectra, porosity and formation factor was proposed to predict permeability was recognized by . Relationships between induced polarization relaxation time and hydraulic properties of sandstone was investigated by . They reported a positive logarithmic relationship between the relaxation time and the pore throat diameter. They also observed an increase of permeability with increasing characteristic relaxation time. Electrical conductivity, induced polarization, and permeability of the Fontainebleau sandstone was studied by . They reported a positive correlation between cole-cole relaxation time and pore size.
Bimodal Pore Size behavior of the Shajara Formation reservoirs of the permo-carboniferous Unayzah group was investigated by . Subdivision of the Shajara reservoirs into three units based on thermodynamic fractal dimension approach and 3-D fractal geometry model of mercury intrusion technique was reported by . New Finding reported from King Saud University Describe advances in Geoscience was reported by . Subdivision of the Shajara reservoirs into three units: Lower Shajara Differential Capacity Fractal Dimension Unit, Middle Shajara Differential Capacity Fractal Dimension Unit, Upper Shajara Differential Capacity Fractal Dimension Unit was described by . Pressure head fractal dimension for characterizing Shajara Reservoirs of the Shajara Formation of the Permo-Carboniferous Unayzah Group, Saudi Arabia was studied by .
The geometric relaxation time of induced polarization can be scaled as
Where Sw the water saturation, IPTg the geometric relaxation time of induced polarization, IPTgmax the maximum geometric relaxation time of induced polarization, and Df the fractal dimension.
Equation 1 can be proofed from
Where k the permeability in millidarcy,9.6 constant, IPTg geometric relaxation time of induced polarization in milliseconds; Φ the porosity; and 1.57 constant.
The maximum permeability can be scaled as
Divide equation 2 by equation 3
Equation 4 after simplifcation will become
Take the square root of equation 5