Abstract Connectivity and connectedness are nonadditive geometric functionals on the set of pore scale structures. They determine transport mass, volume or momentum in porous media, because without connectivity there cannot be transport. Percolativity media is introduced here as a descriptor connectivity, that can computed from persists to macroscale through suitable upscaling limit. It measure...

Evidence-based medicine (EBM) is considered as one of the greatest inventions in modern medicine, advocating the use of the best available valid evidence, in line with clinical expertise and patients’ preference, to provide the best patient care. The philosophy probably has existed since the earliest age of medicine, but it was not until 1972 when Professor Archie Cochrane introduced the concep...

The formation resistivity factor evaluation of brine-filled reservoir rock is an essential part of electrical resistivity log interpretation in petroleum exploration. Empirical relations such as Archie’s law are widely employed to model the relationship between the formation resistivity factor and porosity. Historically, the Archie cementation exponent has been obtained from experimental labora...