Reproduction of complicated scale form in pipe systems from hydrodynamic perspectives

M. Iwata, H. Mikada, J. Takekawa
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Abstract

Scale precipitation seriously damages all equipment in oil, gas and geothermal power plants. There have been lots of predictive analyses on scale growth from chemical perspectives based on reaction kinetics. However, the formation process of scale is very complex and there are some phenomena which cannot be explained by simple chemical considerations. One of them is the local scale deposition at the joint of piping structure, and its visualization was attempted by the lattice Boltzmann method (LBM) for a microscopic analysis on silica particle motion in a flow of geothermal fluid based on fluid dynamics. The Brownian motion and re-entrainment of fine particles have, however, not been taken into account in the dynamics and there remained the instability in the calculation at the early stage of scale growth in the overall macroscopic analysis. Although the previous work was a novel approach, it is clear that the completeness in the dynamics to silica particles has to be considered in the physical analysis of scaling phenomena. We therefore have introduced more elaborative calculation over the spatial scale from micrometers to millimeters with the Brownian random motion to dynamically describe the behavior of silica particles under the distribution in the sizes in fluid for both the adhesion to and the exfoliation from the wall surface. In study, result of new elaborative calculation to show how the Brownian motion influences the kinematic behavior of silica particles that lead us to a new expression of the scale deposition rate as a function of flow velocity. Next, as in the previous study, visualize a time sequence of the scale shape in a pipe with the macroscopic analysis using LBM coupled with the microscopic calculation. At this in order to increase the stability of the crystal growth, introduced a calculation that automatically complements the due to random scale
从流体力学角度再现管道系统中复杂的尺度形式
水垢沉淀严重破坏了石油、天然气和地热发电厂的所有设备。从化学角度出发,已有许多基于反应动力学的水垢生长预测分析。然而,水垢的形成过程非常复杂,有些现象是不能用简单的化学方法来解释的。其中一种是管道结构连接处的局部尺度沉积,采用晶格玻尔兹曼方法(LBM)对地热流体流动中二氧化硅颗粒的运动进行了基于流体动力学的微观分析,试图将其可视化。然而,在动力学中没有考虑布朗运动和细颗粒的再夹带,在整体宏观分析中,在尺度增长初期的计算中仍然存在不稳定性。虽然以前的工作是一种新颖的方法,但很明显,在结垢现象的物理分析中,必须考虑二氧化硅颗粒动力学的完整性。因此,我们引入了从微米到毫米的空间尺度上的更精细的布朗随机运动计算,以动态描述二氧化硅颗粒在不同尺寸的流体分布下对壁面的粘附和脱落行为。在研究中,新的详细计算结果显示布朗运动如何影响二氧化硅颗粒的运动行为,从而使我们得到了一个新的以流速为函数的垢沉积速率表达式。接下来,与之前的研究一样,使用LBM结合微观计算的宏观分析可视化管道中尺度形状的时间序列。在此为了增加晶体生长的稳定性,引入了一种自动补充由于随机尺度的计算方法
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