The term geomimicry is used by John Harrison to describe processes and technologies that mimic long term geological processes. The concept of mimicking nature to solve our problems was originated by Janine Benyus in her now famous book "Biomimicry: Innovation Inspired by Nature" 
During earth's geological history large tonnages of carbon were put away as limestone and other carbonates and as coal and petroleum by the activity of plants and animals. Sequestering carbon in calcium and magnesium carbonate materials and other wastes in the built environment mimics nature in that carbon is used in the homes or skeletal structures of most plants and animals.
More information on geomimicry can be found under our section on sustainability.
 John Harrison invented the word geomimicry in the same tradition of biomimicry to describe the way in which both Greensols and TecEco Eco-Cement mimic geological processes depositing CO2 as solid carbonate and using wastes as aggregate.
 Benyus, J. M. (1997). Biomimicry, Innovation Inspired by Nature, Harper Collins Books.