Determination of drill bit rate of penetration from surface...

E - Fixed Constructions – 21 – B

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E21B 45/00 (2006.01)

Patent

CA 2130460

A method of determining the rate of penetration .DELTA.d of a drill bit at the end of a drill string while drilling a well, compris-ing: (a) measuring the vertical displacement S of the drill string at the surface, (b) determining a state space description of S com-prising a state space measurement equation (I) and a state evolution equation (II), wherein S and .DELTA.d are as previously defined, .DELTA. is the difference operator for time .tau. between adjacent samples k and k + 1, .LAMBDA. is the drill string compliance, p is the noise term as-sociated with the surface displacement measurement, r is the noise term associated with fluctuations in the state, and h is the hookload, and (c) applying a Kalman filter to said equations to obtain an estimate of the state parameters including .DELTA.d.

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