Abstract: A multistage abrasive-liquid jet cutting head comprising at least a first and a second mixing stage. Within the first mixing stage is a first mixing chamber arranged to accept a first flow of accelerated abrasive particles from a first abrasive feed tube and a pressurized liquid flow from an orifice and produce a pressurized slurry-like flow that is introduced to the second mixing stage. Within the second mixing stage is a second mixing chamber arranged to accept and mix is second flow of accelerated abrasive particles from a second abrasive feed tube with the pressurized slurry-like flow from the first mixing stage. An exit nozzle in fluid communication with the second mixing chamber that focuses the combination of the second flow of accelerated abrasive particles from the second abrasive feed tube with the pressurized slurry-like flow from the first mixing stage into an abrasive jet.