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Numerical simulation of the pressing of polycrystalline diamond compact cutter into the rock based on arbitrary Lagrangian-Eulerian algorithm
Alexandria Engineering Journal ( IF 6.2 ) Pub Date : 2020-04-21 , DOI: 10.1016/j.aej.2020.03.010
Yijin Zeng , Lianzhong Sun , Kai Wei , Yuezhi Wang , Feifei Zhang , Xiaofeng Ran

For the polycrystalline diamond compact (PDC) bit, the first step of rock breaking is to press the bit into the rock. However, it is very difficult to theorize the pressing process, due to the complex structure of cutting tooth, the large deformation of the rock, and the nonlinearity of the cutter-rock contact. To solve the problem, this paper takes the parabolic Mohr strength criterion as the judging condition of rock failure, and establishes a numerical simulation program for the pressing process based on the arbitrary Lagrange-Eulerian (ALE) method and the general contact algorithm. The proposed program can adjust the mesh of the rock automatically, preventing the grid distortion caused by rock deformation and contact nonlinearity. The finite-element model created by the ALE method was analyzed by explicit dynamic algorithm, and the stress and strain fields of the PDC cutter were obtained by solving the model. In addition, the author analyzed how the weight on the bit (WOB) is affected by the diameter and back rake angle of the PDC cutter, as well as the friction coefficient between cutter and rock. The results show that the WOB increases with the increase of PDC cutter diameter, the WOB increases with the increase of dip angle in the range of 0–30°, and the WOB increases with the increase of friction coefficient. The established program fully reveals the interaction between PDC cutter and rock in the pressing process, facilitating further analysis on the rock-break mechanism of the PDC bit.



中文翻译:

基于任意拉格朗日-欧拉算法的多晶金刚石压片机压入岩石的数值模拟

对于多晶金刚石压块(PDC)钻头,岩石破碎的第一步是将钻头压入岩石。但是,由于切削齿的结构复杂,岩石变形大以及刀具与岩石接触的非线性,很难对推压过程进行理论化。为了解决该问题,本文以抛物线莫尔强度准则作为岩石破坏的判别条件,并建立了基于任意拉格朗日-欧拉(ALE)法和通用接触算法的压制过程数值模拟程序。所提出的程序可以自动调整岩石的网格,防止由于岩石变形和接触非线性引起的网格变形。通过显式动态算法分析了ALE方法创建的有限元模型,通过求解模型获得了PDC刀具的应力场和应变场。此外,作者分析了PDC刀具的直径和后倾角以及刀具与岩石之间的摩擦系数如何影响钻头(WOB)的重量。结果表明,WOB随PDC刀具直径的增加而增加,WOB随倾角的增加在0-30°范围内增加,而WOB随摩擦系数的增加而增加。建立的程序充分揭示了PDC刀具与岩石在压制过程中的相互作用,从而有助于进一步分析PDC钻头的破碎机理。作者分析了PDC刀具的直径和后倾角以及刀具与岩石之间的摩擦系数如何影响钻头(WOB)的重量。结果表明,WOB随PDC刀具直径的增加而增加,WOB随倾角的增加在0–30°范围内增加,WOB随摩擦系数的增加而增加。建立的程序充分揭示了PDC刀具与岩石在压制过程中的相互作用,从而有助于进一步分析PDC钻头的破碎机理。作者分析了PDC刀具的直径和后倾角以及刀具与岩石之间的摩擦系数如何影响钻头(WOB)的重量。结果表明,WOB随PDC刀具直径的增加而增加,WOB随倾角的增加在0–30°范围内增加,WOB随摩擦系数的增加而增加。建立的程序充分揭示了PDC刀具与岩石在压制过程中的相互作用,从而有助于进一步分析PDC钻头的破碎机理。WOB随摩擦系数的增加而增加。建立的程序充分揭示了PDC刀具与岩石在压制过程中的相互作用,从而有助于进一步分析PDC钻头的破碎机理。WOB随摩擦系数的增加而增加。建立的程序充分揭示了PDC刀具与岩石在压制过程中的相互作用,从而有助于进一步分析PDC钻头的破碎机理。

更新日期:2020-04-21
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