Asymmetric contouring of elastomer liner on lobes in a Moineau style power section stator

A subterranean drilling motor comprising:

• a rotor having a plurality of rotor lobes on a helical outer surface of the rotor;
• a stator including a helical cavity component, the helical cavity component providing an internal helical cavity and including a plurality of internal stator lobes;
• the rotor deployable in the helical cavity of the stator such that the rotor lobes are in a rotational interference fit with the stator lobes, rotation of the rotor in a predetermined direction causing the rotor lobes to (i) contact the stator lobes on a loaded side thereof as the interference fit is encountered, and (ii) pass by the stator lobes on a non-loaded side thereof as the interference fit is completed;
• the stator lobes including a reinforcement material and a resilient liner, the liner disposed to engage an outer surface of the rotor;
• the liner having a non-uniform thickness such that the liner is thicker on the loaded sides of the lobes than on the non-loaded sides of the lobes.

A stator for use in a Moineau style power section, the stator comprising:

• a helical cavity component, the helical cavity component providing an internal helical cavity, the helical cavity component including a plurality of internal lobes;
• the helical cavity component further including an outer reinforcement material, a transition layer, and an inner resilient liner, the liner presented to the helical cavity, the transition layer interposed between the reinforcement material and the liner;
• the transition layer being less resilient than the liner and more resilient than the reinforcement material;
• the liner including a non uniform thickness such that, when viewed in circular cross section, the thickness of the liner on one side of each of the lobes is greater than the thickness of the liner on an opposing side of each of the lobes.