论文标题

准3D近似中的系统油流型建模产生了其他术语,允许可变的横截面区域管道

Systematic Oil Flow Modeling in the Quasi-3D Approximation Yields Additional Terms that Allows for Variable Cross-Section Area Tubing

论文作者

Santos, Edval J. P.

论文摘要

提出了准3D(1D + 2D)中油流的系统模型开发。我们的方法提供了统一的建模方案。此外,还获得了其他项,从而允许沿流动方向进行管区变化。区域变化可以建模为分析功能或随机波动,因为它可能是沉积物或管道内表面粗糙度的结果。所提出的方法可用于获得分析解决方案,该解决方案可提供对审查现象的物理见解,包括验证软件工具,传感器开发和传感器位置。一个从动力学理论给出的保护定律开始,并应用横向平均技术(TAT)以形式上提取一维近似。为了证明其应用,从获得的方程式生成了稳态RAMEY的模型,Hasan的瞬态模型和简单的两相模型。

A systematic model development for oil flow in quasi-3D (1D + 2D) is presented. Our approach provides a unified modeling scheme. Besides, additional terms are obtained, which allows for tubing area variation along the flow direction. The area variation can be modeled as analytic function or random fluctuation, as it could be the result of deposits or tubing internal surface roughness. The proposed approach can be used to obtain analytic solutions which provide physical insight into the phenomena under scrutiny, including the validation of software tools, sensor development and sensor placement. One starts from conservation laws as given by kinetic theory and applies the transverse averaging technique (TAT) to extract the one-dimensional approximation in formal grounds. To demonstrate its application, the steady-state Ramey's model, the Hasan's transient model and a simple two-phase model are generated from the obtained equations.

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