  It is well known that sedimentary rocks having same porosity can have very
different pore size distribution. The pore distribution determines many
characteristics of the rock among which, its transport property is often the
most useful. Multifractal analysis is a powerful tool that is increasingly used
to characterize the pore space. In this study we have done multifractal
analysis of pore distribution on sedimentary rocks simulated using the Relaxed
Bidisperse Ballistic Model (RBBDM). The RBBDM can generate a $3-D$ structure of
sedimentary rocks of variable porosity by tuning the fraction $p$ of particles
of two different sizes. We have also done multifractal analysis on two samples
of real sedimentary rock to compare with the simulation studies. One sample, an
oolitic limestone is of high porosity (40%)while the other is a reefal
carbonate of low porosity around 7%. $2-D$ sections of X-ray micro-tomographs
of the real rocks were stacked sequentially to reconstruct the real rock
specimens. Both samples show a multifractal character, but we show that RBBDM
gives a very realistic representation of a typical high porosity sedimentary
rock.
