Patent · US Active

Alternating frequency time domain approach to calculate the forced response of drill strings

US9000941B2 · kind B2 · utility

0Cited by
5References
24Claims
0Family size

Assignee

Inventors

Key dates

Filing dateFeb 20, 2013
Grant dateApr 7, 2015
Priority date
Expiry dateSep 8, 2033

Classification

  • Technology area (CPC E)Fixed Constructions
  • CPC primaryE21B17/00
  • WIPO fieldCivil engineering
  • WIPO sectorOther fields

Abstract

A method for estimating a steady state response of a drill string in a borehole includes calculating a first displacement of the drill string in a frequency domain for a first excitation force frequency and a number of multiples of this frequency using an equation of motion of the drill string. The equation of motion has a static force component, an excitation force component, and a non-linear force component with respect to at least one of a deflection and a derivative of the deflection of the drill string. The method further includes: transforming the first displacement from the frequency domain into a time domain; calculating a non-linear force in the time domain; calculating a frequency domain coefficient derived from the calculated non-linear force in the time domain; and calculating a second displacement of the drill string in the frequency domain using the equation of motion and the frequency domain coefficient.

Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.