The invention relates to split-chamber pressure exchangers. Split-chamber pressure exchangers are characterized in that the pressure exchange chambers and the pistons thereof are split in two. Each fluid passes through the corresponding chamber thereof, such that said fluids cannot be mixed. The cross sections of the chambers can be varied in order to vary the transmitted pressure. The reverse line operation can be established and synchronized using a U-shaped tube with telescopic sides and a fixed base filled with fluid or diametrically opposed curved lines, and multiple arrangements can be used. Split-chamber pressure exchangers can be used as surface or well pumping systems and the pumping fluid used can differ from the fluid to be pumped. Different levels of any material can be exploited at any storage site using a chamber with elastic walls filled with fluid and attached to the bottom. Electric power can be generated by centrifuging the pre-pumped fluid.