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Mathematical models for 3D analysis of rotary steering bottom hole assembly with small deflection

LI Zi-feng 1 ZHAO Jin-hai 2 LI Jing-yuan 1 2糤T5”BX](1.Petroleum Engineering Institute,Yanshan University,Qinhuandao 066004,China; (1.Petroleum Engineering Institute,Yanshan University,Qinhuandao 066004,China; 2.Drilling Technology Research Institute of Shengli Petroleum Administration Bureau,Dongying 257017,China)  
A kind of rotary steering stabilizer used in a common rotary bottom hole assembly to control well path was developed.In order to develop and use this kind of bottom assembly,the mathematical models for 3D mechanical analysis of bottom hole assembly (BHA) with small deflection were proposed.The mathematical models include (1) differential equations; (2) boundary conditions of drill bit, stabilizer,bend angle, diameter change, tangent point and borehole wall; (3) models for calculating lateral forces and deflection angles of bit; (4) models for determining navigation ability and navigattion parameters. As an example, a given rotary steering bottom hole assembly was studied.
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