Earth formation crushing model

A non-transitory, computer-readable medium storing instructions operable when executed to cause at least one processor to perform operations comprising:

• receiving an Earth formation characteristic and a cutter characteristic of a cutter of an Earth drill bit;
• determining a cutting characteristic at an interface between the Earth formation and the cutter based on the Earth formation characteristic and the cutter characteristic using an Earth formation crushing model comprising an empirical determination of stress at the interface in a first of three mutually perpendicular axes and determinations of stress in the remaining two mutually perpendicular axes that are mathematical functions based on the empirical determination of stress;
• and
• outputting the determined cutting characteristic.

A system comprising:

• memory for storing data;
• and
• one or more processors operable to perform operations comprising:
• receiving an Earth formation characteristic and a cutter characteristic of a cutter of an Earth drill bit;
• determining a cutting characteristic at an interface between the Earth formation and the cutter based on the Earth formation characteristic and the cutter characteristic using an Earth formation crushing model comprising an empirical determination of stress at the interface in a first of three mutually perpendicular axes and determinations of stress in the remaining two mutually perpendicular axes that are mathematical functions based on the empirical determination of stress;
• and
• outputting the determined cutting characteristic.