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In this paper, two separate but related goals are tackled. The first one is to demonstrate that\udin some saturated rock textures the non-linear behaviour of induced polarization (IP) and\udthe violation of Ohm’s law not only are real phenomena, but they can also be satisfactorily\udpredicted by a suitable physical-mathematical model, which is our second goal. This model\udis based on Fick’s second law. As the model links the specific dependence of resistivity\udand chargeability of a laboratory sample to the injected current and this in turn to its pore\udsize distribution, it is able to predict pore size distribution from laboratory measurements,\udin good agreement with mercury injection capillary pressure test results. This fact opens up\udthe possibility for hydrogeophysical applications on a macro scale. Mathematical modelling\udshows that the chargeability acquired in the field under normal conditions, that is at lowcurrent,\udwill always be very small and approximately proportional to the applied current. A suitable\udfield test site for demonstrating the possible reliance of both resistivity and chargeability on\udcurrent was selected and a specific measuring strategy was established. Two data sets were\udacquired using different injected current strengths, while keeping the charging time constant.\udObserved variations of resistivity and chargeability are in agreement with those predicted by\udthe mathematical model. These field test data should however be considered preliminary. If\udconfirmed by further evidence, these facts may lead to changing the procedure of acquiring field\udmeasurements in future, and perhaps may encourage the design and building of a new specific\udgeo-resistivity meter. This paper also shows that the well-known Marshall and Madden’s\udequations based on Fick’s law cannot be solved without specific boundary conditions

Non-linear behaviour of electrical parameters in porous, water-saturated rocks: a model to predict pore size distribution