Method and system for analyzing a drill string stuck pipe event

A method comprising:

• receiving a plurality of drilling parameters from a drilling operation, wherein the plurality of drilling parameters includes a cuttings bed height and a friction factor between a drill string and a wellbore;
• simulating an estimated cuttings bed length, wherein simulating the estimated cuttings bed length includes:
• generating a seed for the estimated cuttings bed length;
• applying the plurality of drilling parameters and the seed for the estimated cuttings bed length to a friction model comprising a function of the cuttings bed height to determine a comprehensive friction factor;
• applying the comprehensive friction factor to the plurality of drilling parameters to determine a required torque of the drill string;
• comparing the required torque to a maximum allowed torque;
• comparing the required torque to known, historical or experimental values;
• and
• updating the seed for the estimated cuttings bed length based in response to determining that the required torque and the known, historical or experimental values do not converge;
• and
• repeating the applying the plurality of drilling parameters and the seed for the estimated cuttings bed length, applying the comprehensive friction factor, comparing the required torque to known, historical or experimental values and updating the seed until a convergence between the required torque the known, historical or experimental values and the maximum allowed torque is detected;
• providing an indication of a stuck pipe event, the indication based on the convergence of the required torque, the known, historical or experimental values the maximum allowed torque;
• and
• adjusting at least one of the plurality of drilling parameters in response to the indication of the stuck pipe event.

A non-transitory computer-readable medium storing a program that, when executed by a processor, causes the processor to:

• receive a plurality of drilling parameters from a drilling operation, wherein the plurality of drilling parameters includes a cuttings bed height and a friction factor between a drill string and a wellbore;
• simulate an estimated cuttings bed length, wherein the estimated cuttings bed length is simulated by:
• generating a seed for the estimated cuttings bed length;
• applying the plurality of drilling parameters and the seed for the estimated cuttings bed length to a friction model comprising a function of the cuttings bed height to determine a comprehensive friction factor;
• applying the comprehensive friction factor to the plurality of drilling parameters to determine a required hook load of the drill string;
• comparing the required hook load to a maximum allowed hook load;
• comparing the required hook load to known, historical or experimental values;
• and
• updating the seed for the estimated cuttings bed length in response to determining that the required hook load and the known, historical or experimental values do not converge;
• and
• repeating the applying the plurality of drilling parameters and the seed for the estimated cuttings bed length, applying the comprehensive friction factor, comparing the required hook load to known, historical or experimental values and updating the seed until a convergence between the required hook load, the known, historical or experimental values and the maximum allowed hook load is detected;
• provide an indication of a stuck pipe event, the indication based on the convergence of the required hook load, the known, historical or experimental value and the maximum allowed hook load;
• and
• wherein, when executed by a processor, the computer-readable medium causes the processor to adjust at least one of the plurality of drilling parameters in response to the indication of the stuck pipe event.