Permeability from porosimetry measurements: Derivation for a tortuous and fractal tubular bundle

This mathematical effort emphasizes the relative importance of pore system attributes on permeability as commonly found in carbonate porosimetry data. The approach can be readily extended to multimodal carbonate pore systems, to other sources of pore system architectural data and is shown to be equivalent to the operation of an incomplete Laplace transform on the porosimetry data. Importantly, and in contrast to previous permeability models to which we compare, this new formulation sets the stage for a complete and scale independent understanding of permeability in carbonate pore systems commonly encountered in the Arab D limestone and similar pore systems.