关键词: PDC钻头, 理论研究, 质量检验, 测绘, 数学模型

Abstract: On analyzing the arrangement of cutters in a PDC bit,two coordinate systems are built which are bit's space circular cylindrical coordinate system(OREH) and outter's space position coordinate system(OXYZ),three outter's angles(φ,β,γ) are defined.On this basis,the PDC bit's five-point survey theory is developed,and a series of formulas are derived,applying PDC bits' geometry and analytic space geometry.The five-point survey theory is used to calculate PDC cutter's position parameter and direction parameter in arbitrary five survey points' coordinate.Arbitrary three points of them are not collinear for the goal of examining and surveying PDC bit and testing the situation software.

Key words: PDC bit, theoretical study, quality check, survey, mathematical model