AN ALGEBRAIC METHOD OF BOREHOLE TRAJECTORY DESIGN WITH DEFINED BOREHOLE DIRECTION

doi:10.3863/j.issn.1674-5086.2009.05.035

西南石油大学学报(自然科学版) ›› 2009, Vol. 31 ›› Issue (5): 158-162.DOI: 10.3863/j.issn.1674-5086.2009.05.035

• 石油机械工程及其它 • Previous Articles Next Articles

AN ALGEBRAIC METHOD OF BOREHOLE TRAJECTORY DESIGN WITH DEFINED BOREHOLE DIRECTION

LU Gang

Exploration and Development Research Institute，Liaohe Oilfield Company，CNPC，Panjin Liaoning 124010，China

Received:1900-01-01 Revised:1900-01-01 Online:2009-10-20 Published:2009-10-20

Abstract

Abstract: The borehole trajectory design to be drilled well with defined direction needs to solve a set of 7-element nonlinear equations.To the generally used numerical iterative process，there are many intrinsic disadvantages.A new method，algebraic method，is presented to simplify the primitive equations into a set of 3-element polynomial equations，and is further resolved into solving all the positive real numbers of a 10-degree polynomial equation and a set of 2-element linear algebraic equations.The computer realization of algebraic method is provided.It is fast in computation speed and requires little memory.The algebraic method has similar mathematical nature with analytical method，and can give judgment for whether a problem has solution and correctly solving all the solutions when a problem has multiple solutions.The method can be applied to solve the problems in trajectory design of directional and horizontal wells，thereby its theoretical importance and application future are proved.

Key words: arc, borehole trajectory, drilling design, algebraic equation, mathematical mechanization

CLC Number:

TE22

LU Gang. AN ALGEBRAIC METHOD OF BOREHOLE TRAJECTORY DESIGN WITH DEFINED BOREHOLE DIRECTION[J]. 西南石油大学学报(自然科学版), 2009, 31(5): 158-162.

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AN ALGEBRAIC METHOD OF BOREHOLE TRAJECTORY DESIGN WITH DEFINED BOREHOLE DIRECTION

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