Modeling and simulation of drill strings with adaptive systems

A non-transient computer program product for predicting behavior of a drill string assembly, the computer program product including a tangible storage medium readable by a processing circuit and storing instructions for execution by the processing circuit for performing a method comprising:

• generating a mathematical representation of a characteristic of at least one of a plurality of components of a drill bit, the plurality of components including at least one moveable cutter;
• at least one moveable rubbing element;
• at least one rubbing element;
• and at least one moveable gage pad;
• simulating one or more operating conditions incident on the mathematical representation, and simulating an interaction between the plurality of components and an earth formation;
• and
• predicting physical responses of the mathematical representation to the one or more operating conditions.

A system for estimating a behavior of a drilling assembly during a drilling operation, the system comprising:

• a drilling assembly including at least an adaptive drill bit connected to a drill string, the drilling assembly configured to be disposed in a borehole;
• a plurality of sensors operatively associated with the drilling assembly;
• and
• a processor in communication with the plurality of sensors, the processor configured to:
• generate a mathematical representation of a characteristic of at least one of a plurality of components of a drill bit, the plurality of components including at least one moveable cutter;
• at least one moveable rubbing element;
• at least one rubbing element;
• and at least one moveable gage pad;
• simulate one or more operating conditions incident on the mathematical representation, and simulating an interaction between the plurality of components and an earth formation;
• and
• predict physical responses of the mathematical representation to the one or more operating conditions.