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A method includes driving a fluid pumping unit having a plurality of pumping cylinders via a plurality of hydraulic cylinders respectively of a hydraulic power unit. The method further includes controlling activation of the hydraulic power unit such that each stroke of the corresponding piston assem

A method includes driving a fluid pumping unit having a plurality of pumping cylinders via a plurality of hydraulic cylinders respectively of a hydraulic power unit. The method further includes controlling activation of the hydraulic power unit such that each stroke of the corresponding piston assembly between the top dead center and the bottom dead center follows a corresponding trapezoidal velocity profile with respect to a time duration. Controlling activation includes controlling flow of a hydraulic fluid in the hydraulic power unit so as to control the corresponding trapezoidal velocity profile with respect to the time duration of the corresponding piston assembly to obtain a predefined flow rate of the fluid medium from the pumping unit.

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1. A method comprising: driving a fluid pumping unit comprising a plurality of pumping cylinders via a plurality of hydraulic cylinders respectively of a hydraulic power unit; wherein driving the fluid pumping unit comprises: moving a corresponding piston assembly among a plurality of piston assembl

1. A method comprising: driving a fluid pumping unit comprising a plurality of pumping cylinders via a plurality of hydraulic cylinders respectively of a hydraulic power unit; wherein driving the fluid pumping unit comprises: moving a corresponding piston assembly among a plurality of piston assemblies, within each corresponding pumping cylinder between a top dead center and a bottom dead center so as to intake a fluid medium into each corresponding pumping cylinder, eject the intake fluid medium from each corresponding pumping cylinder, intake brine into each corresponding pumping cylinder, and eject brine from each corresponding pumping cylinder during each stroke of the corresponding piston assembly between the top dead center and the bottom dead center; andcontrolling activation of the hydraulic power unit such that each stroke of the corresponding piston assembly between the top dead center and the bottom dead center follows a corresponding trapezoidal velocity profile; wherein the corresponding trapezoidal velocity profile comprises a first trapezoidal velocity profile representative of movement of the corresponding piston assembly from the bottom dead center to the top dead center within each corresponding pumping cylinder, a second trapezoidal velocity profile representative of movement of the corresponding piston assembly from the top dead center to the bottom dead center, and a dwell time between the first trapezoidal velocity profile and the second trapezoidal velocity profile, wherein each of the first and second trapezoidal velocity profiles comprises a ramp-up velocity profile, a ramp-down velocity profile, and a steady state velocity profile with a plurality of peak velocity profiles, wherein each peak velocity profile is representative of an increase from a steady state velocity to a predefined higher velocity and then a decrease to the steady state velocity during a change in direction from one stroke to another stroke of at least one remaining piston assembly among the plurality of piston assemblies, wherein controlling activation further comprises: controlling flow of a hydraulic fluid in the hydraulic power unit so as to control the corresponding trapezoidal velocity profile of the corresponding piston assembly to obtain a predefined flow rate of the fluid medium from the pumping unit. 2. The method of claim 1, wherein the controlling activation further comprises controlling at least one hydraulic pump to control flow of the hydraulic fluid in the hydraulic power unit. 3. The method of claim 1, wherein the controlling activation further comprises controlling a plurality of flow control valves to control flow of the hydraulic fluid in the hydraulic power unit. 4. The method of claim 1, further comprising moving the corresponding piston assembly within each corresponding pumping cylinder from the bottom dead center to the top dead center at a first velocity magnitude and moving the corresponding piston assembly from the top dead center to the bottom dead center at a second velocity magnitude. 5. The method of claim 4, wherein the first velocity magnitude is different from the second velocity magnitude. 6. The method of claim 4, wherein the first velocity magnitude is equal to the second velocity magnitude. 7. The method of claim 1, further comprising moving the corresponding piston assembly within each corresponding pumping cylinder from the bottom dead center to the top dead center in a first time duration and moving the corresponding piston assembly from the top dead center to the bottom dead center in a second time duration. 8. The method of claim 7, wherein the first time duration is different from the second time duration. 9. The method of claim 7, wherein the first time duration is equal to the second time duration. 10. The method of claim 1, further comprising obtaining the same piston displacement during each stroke of the corresponding piston assembly within each corresponding pumping cylinder. 11. The method of claim 1, wherein the first trapezoidal velocity profile is different from the second trapezoidal velocity profile. 12. The method of claim 1, wherein the first trapezoidal velocity profile is same as the second trapezoidal velocity profile. 13. The method of claim 1, wherein a first time duration is associated with the first trapezoidal velocity profile, and a second time duration is associated with the second trapezoidal velocity profile. 14. The method of claim 1, further comprising controlling the corresponding trapezoidal velocity profile with respect to the corresponding piston assembly based on movement of the one or more remaining piston assemblies. 15. The method of claim 1, wherein the controlling activation of the hydraulic power unit comprises operating the hydraulic power unit as a closed-loop system. 16. The method of claim 1, wherein the controlling activation of the hydraulic power unit comprises operating the hydraulic power unit as an open-loop system.