METHOD TO PREDICT, ILLUSTRATE, AND SELECT DRILLING PARAMETERS TO AVOID SEVERE LATERAL VIBRATIONS

A method for estimating drilling parameters for drilling a borehole in the earth includes: drilling the borehole with a drill string having a mud motor and a drill bit; constructing a mathematical model of a system including the drill string, the mud motor, and a borehole geometry; calculating a mud motor lateral excitation force imposed on the drill string by the mud motor for one or more combinations of drill string rotational speed and mud motor rotational speed; calculating lateral motion of the drill string and a force imposed on the drill string at positions along the drill string for the one or more of combinations using the model and the excitation force; selecting a range of combinations of drill string rotational speed and mud motor rotational speed that result in the force imposed upon the drill string being less than a threshold value; and displaying the range of combinations.