Intersection solution method for drill bit design

Details Intersection solution method for drill bit design Intersection solution method for drill bit design

E - Fixed Constructions

21

B

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E21B 10/16 (2006.01) E21B 10/42 (2006.01) E21B 10/46 (2006.01) E21B 10/56 (2006.01)

Patent

CA 2036021

-20- INTERSECTION SOLUTION METHOD FOR DRILL BIT DESIGN ABSTRACT OF THE DISCLOSURE A process for distributing cutters along the profile of a drill bit and a drill bit produced by such a process is provided by which at least during one stage of bit design the cutters are distributed in a manner providing that each cutter traces a path of predetermined area. Two methods for determining that area are presented. The cutter distribution process provides for accurate cutter placement by taking into account each cutter's radial distance from the center line, respective placement along the profile, and intersection with other cutters. The placement of each cutter element along a conventional bit profile is determined by defining the bit profile in terms of a continuous line of alternately facing acute isosceles triangles the legs of which are equal to the cutter radius. The development of this geometry is achieved by the mathematical solution of the intersections of circles with lines and of circles with circles.

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