Local percolation probabilities are used to characterize the connectiv
ity in porous and heterogeneous media. Together with local porosity di
stributions they allow to predict transport properties. While local po
rosity distributions are readily obtained, measurements of the local p
ercolation probabilities are more difficult and have not been attempte
d previously. First measurements of three-dimensional local porosity d
istributions and percolation probabilities from the pore space reconst
ruction of a natural sandstone show that theoretical expectations and
experimental results are consistent.