Patent attributes
Systems, methods, and computer-readable media are provided for simulating the coupled axial/torsional dynamics of drilling systems. An example method can include calculating a profile of a bit including cutters, the profile including a cutter layout representing cutter faces of the cutters; based on the profile of the bit, determining cutter interactions between cutters, a cutter interaction being determined when at least two cutters interact with a same surface portion; approximating a cutter geometry of each cutter using polygon approximation; based on the cutter interactions and approximated cutter geometry of each cutter, calculating an engagement surface for each cutter using polygon approximation; and based on geometric parameters associated with the engagement surface for each cutter, simulating reaction forces on the bit at a plurality of time steps corresponding to constant increments of an angular position of the bit during each revolution of the bit, the reaction forces including weight-on-bit and torque-on-bit.