A system for removing wellbore liquids from a wellbore, the wellbore traversing a subterranean formation and having a tubular that extends within at least a portion of the wellbore. The system includes a positive-displacement solid state pump comprising a fluid chamber, an inlet and an outlet port, each in fluid communication with the fluid chamber, at least one solid state actuator, a first one-way check valve positioned between the inlet port and the fluid chamber, and/or a second one-way check valve positioned between the outlet port and the fluid chamber, the at least one solid state actuator configured to operate at or near its resonance frequency, the solid state pump positioned within the wellbore; and means for powering the solid state pump. A method for removing fluids from a subterranean well is also provided.