  In this paper we consider the structure of site percolation models on
three-dimensional square lattices with various shapes of (1,d)-neighborhood.
For these models, are proposed iso- and anisotropic modifications of the
invasion percolation algorithm with (1,0)- and (1,d)-neighborhoods. All the
above algorithms are special cases of the anisotropic invasion percolation
algorithm on the n-dimensional lattice with a (1,d)-neighborhood. This
algorithm is the basis for the package SPSL, released under GNU GPL-3 using the
free programming language R.
