[184.108.40.206] Local porosity distributions and local percolation probabilities have been introduced as a partial geometric characterization of the complex pore-space geometry in porous media. [220.127.116.11] From these well-defined and experimentally accessible geometric quantities, the dielectric response of general porous media resulting from geometrical disorder was calculated using simple effective-medium theory. [18.104.22.168] It was found that the theory predicts an underlying percolation transition, which may or may not appear as a porosity threshold for conduction. [22.214.171.124] As a consequence, percolation scaling theory can be applied to the case of porous media. [126.96.36.199] This provides a theoretical framework inside which Archie’s law can be understood as a statement about the diagenesis of rocks. [188.8.131.52] In particular, the universal applicability of this phenomenological relationship appears as a consequence of the universality of the percolation transition. [184.108.40.206] Simplest mean-field theory gives the value for the cementation exponent in the low-porosity limit. [220.127.116.11] A new scaling law for the divergence of the real duelectric constant is predicted in the high porosity limit. [18.104.22.168] This law should be observable in conductor-filled insulating pore casts of systems obeying Archie’s law. [22.214.171.124] Numerical solutions for the effective dielectric constant show a surprising sensitivity to geometric details whenever the dispersion becomes large. [126.96.36.199] The present theory contains no adjustable parameters or distribution functions. [page 75, §0] [188.8.131.52] The dielectric response is calculated purely from geometrical quantities. [184.108.40.206] Experimental observation of local porosity distributions and local percolation probabilities must answer the question whether they are suitable geometric characteristics for distinguishing different cases of porous media or not.