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A Novel Dynamic Model for Predicting Pressure Wave Velocity in Four-Phase Fluid Flowing along the Drilling Annulus

机译：预测沿钻井环空四相流中压力波速度的新型动力学模型

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摘要

A dynamic pressure wave velocity model is presented based on momentum equation, mass-balance equation, equation of state, and small perturbation theory. Simultaneously, the drift model was used to analyze the flow characteristics of oil, gas, water, and drilling fluid multiphase flow. In addition, the dynamic model considers the gas dissolution, virtual mass force, drag force, and relative motion of the interphase as well. Finite difference and Newton-Raphson iterative are introduced to the numerical simulation of the dynamic model. The calculation results indicate that the wave velocity is more sensitive to the increase of gas influx rate than the increase of oil/water influx rate. Wave velocity decreases significantly with the increase of gas influx. Influenced by the pressure drop of four-phase fluid flowing along the annulus, wave velocity tends to increase with respect to well depth, contrary to the gradual reduction of gas void fraction at different depths with the increase of backpressure (BP). Analysis also found that the growth of angular frequency will lead to an increase of wave velocity at low range. Comparison with the calculation results without considering virtual mass force demonstrates that the calculated wave velocity is relatively bigger by using the presented model.
机译：基于动量方程，质量平衡方程，状态方程和小扰动理论，建立了动压力波速度模型。同时，使用漂移模型分析了油，气，水和钻井液的多相流的流动特性。此外，动力学模型还考虑了气体溶解，虚拟质量力，阻力和相间的相对运动。将有限差分和牛顿-拉夫逊迭代法引入到动力学模型的数值模拟中。计算结果表明，波速对油气涌入速率的增加比对油水涌入速率的增加更为敏感。随着气体涌入量的增加，波速显着下降。受沿环空流动的四相流体的压降的影响，相对于井深，波速趋于增加，这与背压（BP）的增加在不同深度的气孔分数逐渐减小相反。分析还发现，角频率的增加将导致低范围内的波速增加。与不考虑虚拟质量力的计算结果进行比较表明，使用所提出的模型计算出的波速相对较大。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第1期|134102.1-134102.17|共17页
  • 作者

    Kong Xiangwei; Lin Yuanhua; Qiu Yijie; Qi Xing;

  • 作者单位

    Daqing Normal Univ, Sch Chem & Chem Engn, Daqing 163712, Heilongjiang, Peoples R China.;

    Southwest Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploit, Chengdu 610500, Sichuan, Peoples R China.;

    Southwest Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploit, Chengdu 610500, Sichuan, Peoples R China.;

    Southwest Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploit, Chengdu 610500, Sichuan, Peoples R China.;

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