An exemplary embodiment of the present invention provides a carbon-dioxide (“CO2”) sequestration system comprising a CO2 source, a process-water source, a membrane module, and a sequestration duct. The membrane module comprises a first section, a second section, and a membrane. The first section can be configured to receive gaseous CO2 at a first pressure from the CO2 source. The second section can be configured to receive process-water at a second pressure from the process-water source, wherein the first pressure is greater than the second pressure. The membrane can be positioned between the first section and the second section and can comprise a plurality of apertures configured such that the gaseous CO2 passes through the plurality of apertures and dissolves into the process-water to form a process-water-CO2-solution. The sequestration duct can be in fluid communication with the second section and configured to transport the process-water-CO2 solution to a sequestration site.