Systems and methods for artificial lift via a downhole positive displacement pump are disclosed herein. The methods include methods of removing a wellbore liquid from a wellbore that extends within a subterranean formation and/or methods of locating the downhole positive displacement pump within the wellbore. The systems include hydrocarbon wells that include the wellbore, a casing, a rotary electric motor, the downhole positive displacement pump, and a liquid discharge conduit, and the systems may be utilized with and/or configured to perform the methods.