Numerous investigations have been made of the relationship between formation resistivity factor and porosity of reservoir rocks. One of the most widely used expressions is the familiar Archie equation. This paper presents an investigation of the relationship between electrokinetics and reservoir rock formation conductivity factor and porosity. Electrokinetics is the general term associated with the relative motion between charged solid/liquid interfaces, and has proven to provide direct information on oil reservoir characterizations. The movement of liquid through the capillaries carries a net charge (mobile part of the Electrical Double Layer) and it gives rise to streaming current, consequently, a potential difference (streaming potential). This investigation leads to the determination of formation conductivity factor from the total electric conductivity of reservoir rocks. This was achieved from the estimation of the ratio of the pores' area cross section 'A' to its length 'L' by coupling streaming current and streaming potential measurements. The validity of calculated formation conductivity factor from this analysis is established by the use of sandstone data with various porosities. The results are in good agreement with the Humble expression for porosity-formation resistivity factor relationship. These results could prove to be valuable in determining formation conductivity factor from simple and quick measurements of streaming current and streaming potential. The factor can then be used to estimate water saturation in the normal manner.
Introduction
Numerous electrical properties of reservoir rocks are currently being investigated and utilized to determine the reservoir parameters. Porosity and permeability of reservoir rocks are very important parameters, but their estimation from well logs is not straight forward and is often cumbersome and difficult. Correlation between porosity and permeability for a rock type is a basic procedure applied in core data interpretation. However, this correlation may not always be satisfactory because of pore heterogenenety and pore geometry.
Correlations between two flow properties, namely, electrical current flow and fluid flow have been investigated by number of workers (Brouers 1986), (Banavar 1987), (Wong 1988), (Avellaneda 1991), (Kostek 1992), and (Schwartz 1993). The fluid flow property is represented by permeability, and the current flow property is represented by electrical conductivity, which is the reciprocal of resistivity. Both properties are functions of porosity and pore interconnections. The latters are represented by a factor known as the formation factor, F, normally defined as the ratio of the conductivity of the fluid and of the apparent conductivity of the inhomogeneous sample 100% saturated by the same fluid.
The formation resistivity factor, F, is a well known parameter in electric investigations, which is used for petrophysical evaluation of reservoirs. It is a function of several physical parameters and lithological attributes, including electric resistivities of formation and pore fluid; temperature, viscosity, and degree of saturation of pore fluid; type amount of clays; intricate geometry of pores and pore channels (represented by tortuosity); size, shape, and system of pores (represented by porosity) formation's ability to transmit pore fluid (represented by permeability) (Salem 2001). It is also a function of degree of cementation, consolidation, and compaction of sediments (Salem 1994; Salem and Chilingarian 1999).