Abstract

In this paper, the electric conductivity of a brinesaturated rock is modeled, visualizing the pore space of a rock, as a bundle of brine-filled capillaries. Further, in this visualization of the pore space, the capillary number density and the tortuous length of a given capillary segment, exhibit fractal behavior, making pore space a bi-fractal object, characterized by two fractal dimensions. The forward model of rock-conductivity at 100% brine-saturation,based on the above visualization, has the rock porosity, and the values of the fractal dimensions of the pore space respectively, as the model inputs. It is found from the modeling that the forward model of rock conductivity, predicts Archie behavior of rock conductivity with respect to the rock porosity and the conductivity of the brine, saturating the rock, with the Archie