  The restructuring process of diagenesis in the sedimentary rocks is studied
using a percolation type model. The cementation and dissolution processes are
modeled by the culling of occupied sites in rarefied and growth of vacant sites
in dense environments. Starting from sub-critical states of ordinary
percolation the system evolves under the diagenetic rules to critical
percolation configurations. Our numerical simulation results in two dimensions
indicate that the stable configuration has the same critical behaviour as the
ordinary percolation.
