  Precipitation and dissolution are prime processes in carbonate rocks and
being able to monitor them is of major importance for aquifer and reservoir
exploitation or environmental studies. Electrical conductivity is a physical
property sensitive both to transport phenomena of porous media and to
dissolution and precipitation processes. However, its quantitative use depends
on the effectiveness of the petrophysical relationship to relate the electrical
conductivity to hydrological properties of interest. In this work, we develop a
new physically-based model to estimate the electrical conductivity by upscaling
a microstructural description of water-saturated fractal porous media. This
model is successfully compared to published data from both unconsolidated and
consolidated samples, or during precipitation and dissolution numerical
experiments. For the latter, we show that the permeability can be linked to the
predicted electrical conductivity.
