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首页> 外文期刊>Mathematical Problems in Engineering >Mathematical Modeling Applied to Drilling Engineering: An Application of Bourgoyne and Young ROP Model to a Presalt Case Study
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Mathematical Modeling Applied to Drilling Engineering: An Application of Bourgoyne and Young ROP Model to a Presalt Case Study

机译：数学建模在钻井工程中的应用：Bourgoyne和Young ROP模型在盐下案例研究中的应用

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摘要

Several mathematical ROP models were developed in the last five decades in the petroleum industry, departing from rather simple but less reliable R-W-N (drilling rate, weight on bit, and rotary speed) formulations until the arrival to more comprehensive and complete approaches such as the Bourgoyne and Young ROP model (BYM) widely used in the petroleum industry. The paper emphasizes the BYM formulation, how it is applied in terms of ROP modeling, identifies the main drilling parameters driving each subfunction, and introduces how they were developed; the paper is also addressing the normalization factors and modeling coefficients which have significant influence on the model. The present work details three simulations aiming to understand the approach by applying the formulation in a presalt layer and how some modification of the main method may impact the modeling of the fitting process. The simulation runs show that the relative error measures can be seen as the most reliable fitting verification on top of R-squared. Applying normalization factors and by allowing a more wide range of applicable drillability coefficients, the regression could allow better fitting of the simulation to real data from 54% to 73%, which is an improvement of about 20%.
机译：在过去的五十年中，石油行业开发了几种数学ROP模型，从相当简单但可靠性不高的RWN（钻速，钻头重量和转速）公式出发，直到出现了更全面和完整的方法（如Bourgoyne）。以及在石油工业中广泛使用的Young ROP模型（BYM）。本文着重介绍了BYM公式，如何在ROP建模方面应用它，确定驱动每个子功能的主要钻井参数，并介绍了它们的开发方式。本文还讨论了对模型有重大影响的归一化因子和建模系数。本工作详细介绍了三个模拟，旨在通过在预盐层中应用配方来理解该方法，以及对主要方法的某些修改如何影响拟合过程的建模。仿真运行表明，相对误差度量可以看作是R平方之上最可靠的拟合验证。应用归一化因子并通过允许更大范围的适用可钻性系数，回归可以使模拟更好地拟合实际数据，从54％到73％，这大约提高了20％。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第20期|631290.1-631290.9|共9页
  • 作者

    Nascimento Andreas; Kutas David Tamas; Elmgerbi Asad; Thonhauser Gerhard; Mathias Mauro Hugo;

  • 作者单位

    Univ Estadual Paulista UNESP, Fac Engn, Dept Mecan ANP PRH48, BR-12516410 Guaratingueta, SP, Brazil;

    Montanuniv Leoben MUL, Dept Petr Engn, Chair Drilling & Complet Engn CDC, A-8700 Leoben, Austria;

    Montanuniv Leoben MUL, Dept Petr Engn, Chair Drilling & Complet Engn CDC, A-8700 Leoben, Austria;

    Montanuniv Leoben MUL, Dept Petr Engn, Chair Drilling & Complet Engn CDC, A-8700 Leoben, Austria;

    Univ Estadual Paulista UNESP, Fac Engn, Dept Mecan ANP PRH48, BR-12516410 Guaratingueta, SP, Brazil;

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