Theoretical Study and Experimental Tests of Rock Breaking Depth under Particle Impacting
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摘要: 为了准确分析粒子冲击钻井过程中粒子对岩石的冲击作用机理，指导施工参数的优选，需要对粒子冲击破岩的深度进行理论计算。基于动态球形空腔膨胀理论，推导了粒子冲击破岩过程中粒子所受阻力与初始入射速度的关系，结合粒子运动微分方程建立了粒子冲击破岩深度的计算模型，并给出定解条件和求解方法。根据计算实例，对粒子冲击破岩深度与粒子初始入射速度的响应关系和破岩深度与破岩时间的响应关系进行了研究。粒子冲击破岩室内试验结果表明，理论计算结果与试验结果基本吻合，表明该理论模型准确可行，可用于粒子冲击破岩过程的理论分析。研究表明，无因次破岩深度随粒子初始入射速度增大呈线性增加、随破岩时间增长呈对数增加的规律。研究结果可为粒子冲击钻井技术的实际应用提供理论支撑。Abstract: To accurately analyze the mechanism of impacts of particles on rocks during partical impact drilling and to optimize hydraulic parameters, it is necessary to perform theoretical calculations of particle impacting depth. Based on dynamic spherical expansion theory, correlation between resistance and intial incident velocity was derived. From differential equations of particle motion, the calculation model for the particle impacting depth was established. In addition, definite solution conditions and relevant algorithm were clarified. Based on actual calculation, the correlation between impact depth and incident velocity and that between the impact depth and time were studied. Experimental results showed theoreticalresults match well with experimental one. So the theoretical model can be used in theoretical analyses of particle impacting processes. Research results demonstrated that the dimensionless rock breaking depth would increase linearly with the the initial incident velocity and would increase logarithmically with time. Relevant research conclusions may provide necessary theoretical support for the application of particle impact drilling techniques.
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Keywords:
- particle /
- impact /
- rock breaking depth /
- cavity expansion /
- theoretical model /
- experimental test
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