Post-combustion CO2 capture applies mainly to conventional coal-fired power generation but can also apply to combustion turbines fired by natural gas. In this case, the CO2 is captured from flue gases after the fossil fuel has been burned.
More than 95% of the coal-fired plants in the world use coal combustion technology . About one-third of this capacity worldwide is less than 10 years old. Installing PCC on these plants is essential to avoiding the worst impacts of climate change.
Shidongkou PCC Power Plant, outside of Shanghai, China
Post-combustion capture uses a chemical solvent to remove CO2 from the exhaust gas of a traditional coal power plant. The solvent-- typically an amine solution-- binds with the CO2. The solvent-CO2 combination is separated from the rest of the exhaust gas and heated. The heat drives off relatively pure CO2 which is ready for compression and sequestration. The solvent is cooled and reused.

Many variations on this basic approach exist, and new technologies using selective membranes and solid materials instead of liquid solvents are under development. Chapter three of the report "Coal Without Carbon" (.pdf) >> details current and emerging technologies. These alternatives hold promise of significant performance improvements over current technology, but also require significant development work prior to commercialization.
Natural gas with carbon capture uses post-combustion capture technology on natural gas power plants. For the US to meet mid-century near zero carbon emissions, CCS will need to be installed not just on coal, but natural gas too. Natural gas is expected to be abundant in the US due to recently developed shale gas fields. Gas will increasingly displace some coal. But even if all coal plants were replaced with natural gas, the reduction in CO2 would be about 50%. Therefore CCS on gas is important.
Natural gas can be an advantageous fuel for power generation with CCS for several reasons:

CATF is working to