射孔井筒中支撑剂动态模型

IF 3.6 2区 工程技术 Q1 MECHANICS International Journal of Multiphase Flow Pub Date : 2023-06-22 DOI:10.1016/j.ijmultiphaseflow.2023.104552
E.V. Dontsov
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引用次数: 2

摘要

本文提出了一种模拟水平射孔井筒中含颗粒浆液行为的模型,目的是量化射孔间的流体和颗粒分布。影响结果的主要现象有两个。首先是井筒横截面内颗粒的不均匀分布及其沿流动方向的变化。第二种现象与颗粒从井筒转向射孔的能力有关。因此,本文首先单独考虑这两种现象,然后将它们结合起来解决射孔井筒中的整体流动问题。建立了计算井筒内颗粒和速度分布的数学模型。该模型是根据各种流速、颗粒直径、管径和颗粒体积分数的实验室数据进行校准的。它预测了粒子和速度剖面的稳态解,并捕获了从给定状态到稳态解的时间过渡。确定了量化后一种解的关键无量纲参数,称为无量纲引力。当它很小时,颗粒完全悬浮,溶液均匀。同时,当上述参数较大时,则溶液具有强不均匀性,近似于流床状态。建立了粒子车削问题的数学模型,并根据现有的实验和计算数据进行了标定。影响结果的关键参数是车削效率。当效率接近于1时,大多数跟随流体流线进入射孔的颗粒都能够进入孔内。同时,零效率对应于没有颗粒进入射孔的情况。将这两个子问题的解决方案结合起来,形成射孔井筒的模型。将结果与一系列射孔井的实验室和现场规模实验进行了比较(未校准)。并与已有的计算结果进行了比较。此外,针对无量纲重力和车削效率所定义的参数空间进行了比较。这样的描述可以解释在不同测试中观察到的看似矛盾的结果,还可以突出射孔方向起重要作用的参数。
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A model for proppant dynamics in a perforated wellbore

This paper presents a model to simulate behavior of particle-laden slurry in a horizontal perforated wellbore with the goal of quantifying fluid and particle distribution between the perforations. There are two primary phenomena that influence the result. The first one is the non-uniform particle distribution within the wellbore’s cross-section and how it changes along the flow. The second phenomenon is related to the ability of particles to turn from the wellbore to a perforation. Consequently, the paper considers both of these phenomena independently at first, and then they are combined to address the whole problem of flow in a perforated wellbore. A mathematical model for calculating the particle and velocity profiles within the wellbore is developed. The model is calibrated against available laboratory data for various flow velocities, particle diameters, pipe diameters, and particle volume fractions. It predicts a steady-state solution for the particle and velocity profiles, as well as it captures the transition in time from a given state to the steady-state solution. The key dimensionless parameter that quantifies the latter solution is identified and is called dimensionless gravity. When it is small, the particles are fully suspended and the solution is uniform. At the same time, when the aforementioned parameter is large, then the solution is strongly non-uniform and resembles a flowing bed state. A mathematical model for the problem of particle turning is developed and is calibrated against available experimental and computational data. The key parameter affecting the result is called turning efficiency. When the efficiency is close to one, then most of the particles that follow the fluid streamlines going into the perforation are able enter the hole. At the same time, zero efficiency corresponds to the case of no particles entering the perforation. Solutions for the both sub-problems are combined to develop a model for the perforated wellbore. Results are compared (not calibrated) to a series of laboratory and field scale experiments for perforated wellbores. Comparison with the available computational results is presented as well. In addition, the comparison is presented in view of the parametric space defined by the dimensionless gravity and turning efficiency. Such a description allows to explain seemingly contradictory results observed in different tests and also allows to highlight parameters for which perforation orientation plays a significant role.

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来源期刊
CiteScore
7.30
自引率
10.50%
发文量
244
审稿时长
4 months
期刊介绍: The International Journal of Multiphase Flow publishes analytical, numerical and experimental articles of lasting interest. The scope of the journal includes all aspects of mass, momentum and energy exchange phenomena among different phases such as occur in disperse flows, gas–liquid and liquid–liquid flows, flows in porous media, boiling, granular flows and others. The journal publishes full papers, brief communications and conference announcements.
期刊最新文献
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