The invention uses the continuous inclination, direction and tool-face information supplied from either an MWD tool and/or a rotary steerable drilling system, and/or other downhole equipment, e.g., the at-bit inclination measurement (AIM), to give a prediction of the tendency of a rotary, steerable, or rotary steerable system. These measurements are used with a finite element mathematical model of the drilling process to continually calibrate in real-time the drilling parameters that are not obtainable from measurements, and to refine the subsequent tendency prediction in real-time. The continuous data will be used in conjunction with the accepted survey measurements (which occur less frequently than the continuous inclination and direction measurements) so that the optimum slide and rotation ratio between well sections can be selected, and drilling targets can be more accurately hit.

A method of predicting the walk rate of a design of rotary drag-type drill bit of the kind where the leading face of the bit body is formed with a central depression, or cone, comprises the steps of: calculating the cone volume V.sub.cone of the bit; calculating that ratio ##EQU1## of the total torque generated by the cutters on the bit which is attributable to those cutters which are mounted in said cone; calculating a Walk Factor ##EQU2## and then determining the predicted walk rate W of the bit from a graph, or other database, relating previously established values of F for other drill bits to the respective walk rates W for those drill bits.

A method for the improvement of performances involves a drilling model wherein the model takes account of the effects of the destruction of a rock (2) by a cutter (1) fastened to a bit body (3) driven in rotation and the effects of the removal of rock cuttings by a fluid, by calculating a material balance from the production of cuttings by the cutter that has penetrated the rock by a depth .delta., a bed of cutting of thickness l, a fluid strip of thickness h between the bed of cuttings and body (3), the fluid strip having a cuttings concentration c.

A drill bit with dropping tendencies includes an active region, a passive region, a biased mass distribution, an uneven torque generation, and an imbalance force vector directed toward the middle of the active region. Cutting elements in the active region of the drill bit may be more aggressive than those in the passive region through manipulation of, e.g., backrake angle, blade length, cutter sizes, blade angles and bit profile. The imbalance force vector may be achieved by manipulation of bit geometric parameters such as cutter radial position, angular position, longitudinal position, and rake angle.

A method of forming a PDC drilling bit including the steps of imposing a side drilling direction on the bit, determining a total bit side force acting on the bit, computing a walk angle between the total side force and the side drilling direction, and modifying a configuration of cutters on the profile of the bit so as to change the walk angle to a desired angle. The step of determining a total side force includes the steps of determining a normal side force of the bit, computing a total cutter friction force, and combining the normal side force and the total cutter friction force so as to produce a total side force. The total cutter friction force is obtained by summing single cutter forces perpendicular to a direction of cut of the bit. The step of imposing a side drilling direction includes measuring a normal side force applied to the bit. The modification of the bit can be carried out by increasing or reducing the aggressiveness of the cutters facing outwardly on an outer surface of the bit or by replacing cutters on the bit with low friction pads.