A systematic approach for controlling different 2D porous media (PM) characteristics is presented. Through the manipulation of the topology of the PM grain size, shape and distribution, different PM characteristics can be controlled/tailored as required. The presented approach is tested using a test 2D porous media to achieve a specific target porosity value and offers the possibility of tuning other fluid/solid dependent characteristics like the pressure gradient and maximum velocity. The demonstrated approach can be further extended to include other target characteristics through the inclusion of more topological parameters. It can also be extended to any generic PM structure. This approach opens many possibilities for the use of model 2D porous media in different applications and as a surrogate model for naturally occurring PM.