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A novel hybrid ANN-GB-LR model for predicting oil and gas production rate 用于预测石油和天然气生产率的新型混合 ANN-GB-LR 模型
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-09-07 DOI: 10.1016/j.flowmeasinst.2024.102690
Riadh Al Dwood , Qingbang Meng , AL-Wesabi Ibrahim , Wahib Ali Yahya , Ahmed .G. Alareqi , Ghmdan AL-Khulaidi

The Oil and Gas Production Rate (OGPR) is one of the most significant processes that play an essential role in the oil industry. Predicting OGPR is critical for effective reservoir management and enhancing oil recovery. Traditional methods (TMs) and numerical simulations (NS) often struggle to process and analyze nonlinear, complex, and massive datasets. To avoid these challenges, artificial intelligence (AI) techniques and machine learning (ML) models have been proposed as an alternative solution due to their high efficiency and rapidity in handling complex data. In this study, a new hybrid model is developed by combining the strengths of Artificial Neural Networks (ANN) and Gradient Boosting (GB), using Linear Regression (LR) as a meta-model by stacking technique. It captures nonlinear relationships effectively and manages outliers, enhancing prediction accuracy. The novelty of this study lies in the hybrid ANN-GB-LR model's ability to integrate various machine learning techniques into a robust framework, leveraging the high learning capacity of ANN, the robust handling of outliers by GB, and the straightforward interpretability of LR. This creative combination handles the limitations of individual models and enhances the general predictive performance. The model was trained and tested using actual field data from the Halewah field in Yemen. Evaluation metrics, including Root Mean Squared Error (RMSE), Mean Absolute Error (MAE), and R-squared (R2), were utilized to evaluate and compare the hybrid model with other ML models: Random Forest (RF), XGBoost (XGB), LR, Light Gradient Boosting Machine (LGBM), GB, and K-nearest neighbors (KNN). The hybrid ANN-GB-LR model achieved superior results, with an R2 of 0.998, an RMSE of 11.06 for oil flow rate predictions, and an R2 of 0.98 and an RMSE of 172.15 for gas flow rate predictions. These results significantly surpass the other models, demonstrating the hybrid model's outstanding ability to capture complex data and provide accurate predictions. The ANN-GB-LR model surpasses Traditional Methods in predicting OGPRs. It shows a strong and reliable tool for optimizing reservoir management. This study establishes a new standard for predictive modeling in the oil industry, providing a framework for future research to apply hybrid models in handling complex datasets.

油气生产率(OGPR)是在石油工业中发挥重要作用的最重要过程之一。预测 OGPR 对于有效管理油藏和提高石油采收率至关重要。传统方法(TMs)和数值模拟(NS)往往难以处理和分析非线性、复杂和海量的数据集。为了避免这些挑战,人工智能(AI)技术和机器学习(ML)模型因其处理复杂数据的高效性和快速性而被提出作为替代解决方案。本研究结合了人工神经网络(ANN)和梯度提升(GB)的优势,通过堆叠技术使用线性回归(LR)作为元模型,开发了一种新的混合模型。它能有效捕捉非线性关系并管理异常值,从而提高预测精度。这项研究的新颖之处在于混合 ANN-GB-LR 模型能够将各种机器学习技术整合到一个稳健的框架中,充分利用了 ANN 的高学习能力、GB 对异常值的稳健处理以及 LR 的直接可解释性。这种创造性的组合处理了单个模型的局限性,提高了总体预测性能。该模型使用也门 Halewah 油田的实际现场数据进行了训练和测试。评估指标包括均方根误差(RMSE)、平均绝对误差(MAE)和 R 平方(R2),用于评估和比较混合模型与其他 ML 模型:随机森林 (RF)、XGBoost (XGB)、LR、光梯度提升机 (LGBM)、GB 和 K-nearest neighbors (KNN)。混合 ANN-GB-LR 模型取得了优异的结果,其 R2 为 0.998,石油流量预测的 RMSE 为 11.06,气体流量预测的 R2 为 0.98,RMSE 为 172.15。这些结果大大超过了其他模型,证明了混合模型捕捉复杂数据和提供精确预测的出色能力。ANN-GB-LR 模型在预测 OGPR 方面超越了传统方法。它为优化油藏管理提供了一个强大而可靠的工具。这项研究为石油行业的预测建模建立了一个新标准,为未来应用混合模型处理复杂数据集的研究提供了一个框架。
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引用次数: 0
Computation of drag coefficient for real vegetation in wetlands 计算湿地真实植被的阻力系数
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-09-04 DOI: 10.1016/j.flowmeasinst.2024.102691
Mohammad Javad Rezaei, Reza Mohammadpour, Zahra Ghadampour

The flow characteristics in wetlands and vegetated channels are depend on the physical structure, density, and pattern of vegetation. Estimating average velocity in vegetated wetlands requires an accurate determination of the drag coefficient. The innovation of this research lies in calculating the drag coefficient while considering the pattern shape, plant flexural rigidity, and vegetation structure. Laboratory experiments were conducted in a rectangular flume using a parallel pattern of Eleocharis plants at three densities: low, medium, and high, with discharge rates of 18.2, 23.7, and 28.8 L/s, respectively. Comparative analysis revealed that the equation proposed by Kothyari et al. (2009) [23] is just suitable for determining the drag coefficient on rigid cylinders with a staggered pattern and it should be improved for real vegetation with different pattern. A comprehensive equation was developed for real wetland vegetation, incorporating a new pattern coefficient for pattern shape (ζpp) and correction factor (η) to consider plant flexural rigidity and vegetation structure. The results demonstrate that this equation accurately predicts the drag coefficient (RMSE = 0.127, MAE = 0.107, and R2 = 0.9059) in channels with real vegetation with parallel and staggered patterns.

湿地和植被渠道的水流特性取决于植被的物理结构、密度和形态。要估算植被湿地的平均流速,就必须准确测定阻力系数。本研究的创新之处在于在计算阻力系数的同时,考虑到图案形状、植物抗弯刚度和植被结构。在一个矩形水槽中进行了实验室实验,使用的是低密度、中密度和高密度三种密度的象鼻草平行图案,排水速率分别为 18.2、23.7 和 28.8 L/s。对比分析表明,Kothyari 等人(2009 年)[23] 提出的方程仅适用于确定交错模式刚性圆柱体上的阻力系数,对于不同模式的真实植被应加以改进。研究人员针对实际湿地植被建立了一个综合方程,其中包含一个新的图案形状系数(ζpp)和校正因子(η),以考虑植物的弯曲刚度和植被结构。结果表明,该方程能准确预测具有平行和交错图案的真实植被渠道的阻力系数(RMSE = 0.127,MAE = 0.107,R2 = 0.9059)。
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引用次数: 0
Numerical and sensitivity analysis of hydraulic characteristics of triangular labyrinth side weir 三角迷宫边堰水力特性的数值和敏感性分析
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-09-03 DOI: 10.1016/j.flowmeasinst.2024.102686
Guiying Shen , Dingye Cao , Shanshan Li , Guodong Li

Triangular labyrinth side weirs have significantly more discharge capacity than traditional nonlinear weirs, and the complex hydraulic parameter interaction mechanism has been the research focus. This study used Computational Fluid Dynamics (CFD) to analyze the side weir's flow characteristics. Then, the Bayesian optimization algorithm and Extreme Learning Machine (BELM) developed a prediction model for the side weir's discharge coefficient. Finally, Sobol's method performed a sensitivity analysis for hydraulic parameters. The results show that the main channel's streamline is evenly distributed and begins to shift when it is close to the side weir. The overflow front is increasing and secondary flow also increases. BELM's Mean Absolute Percentage Error and Root Mean Square Error are 8.793 % and 0.455 in the testing stage, respectively, declined by about 56.24 % and 32.29 % compared with ELM; Froude number Fr, weir crest angle θ and the ratio of overflow front length to weir head l/h1 are the most critical hydraulic parameters affecting the discharge coefficient, the global sensitivity coefficients are 0.4393, 0.4218 and 0.4152, respectively.

与传统的非线性堰相比,三角迷宫式边堰的泄流能力要大得多,其复杂的水力参数相互作用机制一直是研究的重点。本研究采用计算流体动力学(CFD)分析了边堰的流动特性。然后,贝叶斯优化算法和极限学习机(BELM)建立了侧堰排流系数预测模型。最后,Sobol 方法对水力参数进行了敏感性分析。结果表明,主河道的流线分布均匀,在靠近边堰时开始移动。溢流前沿在增加,次级流量也在增加。在试验阶段,BELM 的平均绝对百分误差和均方根误差分别为 8.793 % 和 0.455,与 ELM 相比分别下降了约 56.24 % 和 32.29 %;Froude 数 Fr、堰顶角 θ 和溢流前沿长度与堰顶水头之比 l/h1 是影响排泄系数的最关键水力参数,其全局灵敏度系数分别为 0.4393、0.4218 和 0.4152。
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引用次数: 0
Application of machine learning models in predicting discharge coefficient of side B-type piano key weir 机器学习模型在预测 B 型钢琴键堰侧排流系数中的应用
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-09-03 DOI: 10.1016/j.flowmeasinst.2024.102687
Yaser Mehri , Milad Mehri , Mohsen Nasrabadi

Side weir is a hydraulic structure within a channel which is usually used to discharge excess water, to divert the flow, and to regulate water surface levels in rivers and irrigation and drainage networks. In general, piano key weirs (PKW) have been used as weirs perpendicular to the flow direction in straight channels. However, the use of the PKW as a side weir in the outer arch of the channels is a new approach to enhance the weir's performance. In this study, 289 tests were first performed on the B-type rectangular side piano key weir (RSPKW) at two arc angles of 30 and 120°. Then, Fuzzy Inference System (FIS), Adaptive Neuro-Fuzzy Inference System (ANFIS), ANFIS and Teaching Learning Based Optimization (TLBO), ANFIS and Grasshopper Optimization Algorithm (GOA), Extreme Learning Machine (ELM) and Outlier Robust ELM (ORELM) models were used to predict the weir discharge coefficient. The results showed that two optimization models of TLBO and GOA increased the accuracy of the ANFIS model. The results showed that the ANFIS-GOA model has accuracy of Root Mean Squared Error (RMSE) = 0.0361, Coefficient of determination (R2) = 0.9772, and Kling Gupta coefficient (KGE) = 0.9858. The ANFIS-TLBO, ANFIS, and FIS models were ranked, respectively. Also, the results showed that ELM and ORELM models have accuracy close to ANFIS-GOA and can be a suitable alternative for complex fuzzy models. According to the statistical analysis, it was found that the parameters of the ratio of weir height to flow depth at the upstream edge of weir (P/h1), arc angle (α), and the ratio of height of the foundation to the main channel width (pd/B) had the greatest role in the development of the models, respectively.

边堰是渠道中的一种水工建筑物,通常用于排放多余的水量、分流以及调节河流和灌排网络中的水面水位。一般来说,琴键堰(PKW)被用作垂直于直河道水流方向的堰。然而,将钢琴键堰用作渠道外拱的侧堰是一种提高堰性能的新方法。在这项研究中,首先对 B 型矩形钢琴键边堰(RSPKW)在 30 和 120° 两种弧角下进行了 289 次测试。然后,使用模糊推理系统 (FIS)、自适应神经模糊推理系统 (ANFIS)、ANFIS 和基于教学学习的优化 (TLBO)、ANFIS 和蚱蜢优化算法 (GOA)、极限学习机 (ELM) 和离群稳健 ELM (ORELM) 模型来预测堰塞体的排泄系数。结果表明,TLBO 和 GOA 两种优化模型提高了 ANFIS 模型的准确性。结果表明,ANFIS-GOA 模型的精度为均方根误差(RMSE)= 0.0361,判定系数(R2)= 0.9772,Kling Gupta 系数(KGE)= 0.9858。分别对 ANFIS-TLBO、ANFIS 和 FIS 模型进行了排名。结果还显示,ELM 和 ORELM 模型的准确度接近 ANFIS-GOA,可以作为复杂模糊模型的合适替代方案。统计分析发现,堰高与上游堰边水深之比(P/h1)、弧角(α)和基础高度与主航道宽度之比(pd/B)等参数对模型的发展作用最大。
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引用次数: 0
The flow model of the overlap spool valve considering the transition between laminar and turbulent flow 考虑层流和紊流过渡的重叠式阀芯流动模型
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-09-03 DOI: 10.1016/j.flowmeasinst.2024.102689
Rui Guo , Yaobao Yin , Jing Li , Jinlin Jiang , Junyong Fu

It remains uncertain whether the flow state at the spool valve is laminar or turbulent under small openings. The annular slit flow and the damping hole flow are proposed to be equated to model the spool valve flow. The mutual transition criterion between laminar and turbulent flows is developed. The results indicate that the flow turns from transitional flow to turbulence as the valve opening increases to 5.2 μm. The flow coefficient increases linearly in transitional flow and remains constant in turbulence. Laminar flow may occur when the annular gap's length exceeds 9.45 μm. The effect of structural parameters including overlap, radial clearance, wear fillet, and temperature on flow transition is discussed. Wear on the valve port counteracts the positive overlap. Flow gain continues to rise, pressure gain increases and then falls, reaching a maximum of 5 × 1012 Pa/m. Valve performance exhibits a brief ramp-up time. The theoretical model and analysis aim to elucidate the flow characteristics and performance evolution of the spool valve.

目前还不确定在小开口情况下阀芯的流动状态是层流还是湍流。建议将环形缝隙流和阻尼孔流等同起来模拟阀芯流动。建立了层流和湍流之间的相互转换准则。结果表明,当阀瓣开口增大到 5.2 μm 时,流动从过渡流转向湍流。在过渡流中,流量系数呈线性增长,而在湍流中则保持不变。当环形间隙长度超过 9.45 μm 时,可能会出现层流。讨论了包括重叠、径向间隙、磨损圆角和温度在内的结构参数对流动过渡的影响。阀门端口的磨损抵消了正向重叠。流量增益持续上升,压力增益先上升后下降,达到最大值 5 × 1012 Pa/m。阀门性能表现出短暂的上升时间。理论模型和分析旨在阐明阀芯的流量特性和性能演变。
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引用次数: 0
Flow field torque analysis and valve plate optimization of butterfly anti-stick bleed valve 蝶形防粘放气阀的流场扭矩分析和阀板优化
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-09-03 DOI: 10.1016/j.flowmeasinst.2024.102685
Jin Zhang , Wenlong Yin , Xu Wang , Shuwei Zheng , Lijiang Pan , Fugang Zhai

The main function of the bleed valve (BV) is to release part of the air from the axial compressor to prevent the aero-engine from stalling and surging. The stuck fault of the BV seriously affects the stable operation and safety of the aero-engine. An anti-stick BV design incorporating an eccentric valve plate is proposed to mitigate the issues of valve sticking caused by contamination particles and deformation. To address the issue of large flow field torque (FFT) during the operation of the anti-stick BV, computational fluid dynamics (CFD) methods were employed to investigate the FFT across various opening angles and flow channel structures. The results indicate that the FFT is primarily induced by the asymmetry of pressure distribution at the surfaces of the valve plate. The main strategies to reduce the FFT resulting from the valve plate structure include increasing the maximum closing angle β, reducing the valve thickness, and shifting the inlet surface closer to the shaft. The optimized valve plate structure reduces the maximum FFT of the BV by 60.7 %. Experimental testing of the optimized prototype demonstrates significantly improved opening and closing characteristics.

放气阀(BV)的主要功能是释放轴流压缩机中的部分空气,防止航空发动机熄火和喘振。BV 卡死故障严重影响着航空发动机的稳定运行和安全。我们提出了一种采用偏心阀板的防卡 BV 设计,以缓解由污染颗粒和变形引起的阀门卡滞问题。为解决防粘 BV 运行过程中的大流场力矩(FFT)问题,采用计算流体动力学(CFD)方法研究了不同开口角度和流道结构下的 FFT。结果表明,FFT 主要是由阀板表面压力分布的不对称性引起的。减少由阀板结构引起的 FFT 的主要策略包括增大最大关闭角 β、减小阀板厚度以及将入口表面移近轴。优化后的阀板结构将 BV 的最大 FFT 降低了 60.7%。对优化后的原型进行的实验测试表明,其开启和关闭特性均有显著改善。
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引用次数: 0
Void fraction measurement of slug flow using electromagnetic wave phase sensor based on optimized hybrid dielectric constant 利用基于优化混合介电常数的电磁波相位传感器测量蛞蝓流的空隙率
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-09-02 DOI: 10.1016/j.flowmeasinst.2024.102684
Ning Zhao , Xiangyi Chen , Tianzhuang Ma , Fan Wang , Yajing Song , Yujiao Liang

The void fraction is one of the basic parameters to study the gas-liquid two-phase flow, which has great significance to the transportation of oil pipelines and the design of nuclear reactor cooling towers. However, due to the complex and variable nature of gas-liquid two-phase flow, accurately measurement of the void fraction has remained a challenging task in both scientific research and industrial applications. According to the principle of electromagnetic wave propagation, a coaxial line phase sensor was designed, a hybrid dielectric constant model based on the homogeneous flow was established and a void fraction based on hybrid dielectric constant model was proposed. The experiments were carried out on the high-precision gas-liquid two-phase flow simulation experimental setup at Hebei University, China (70 data points), and the void fraction model was inspected and verified. Five typical hybrid dielectric constant correlations were compared. Introducing the frequency weight, optimizing the hybrid dielectric constant model based on the Series – Parallel correlation, a new void fraction prediction correlation of slug flow was proposed and evaluated. The results indicated that the mean absolute percentage error (MAPE) of the new void fraction correlation is 1.02 % and the all of the relative errors are within ±5 % error band.

空隙率是研究气液两相流的基本参数之一,对石油管道运输和核反应堆冷却塔设计具有重要意义。然而,由于气液两相流的复杂性和多变性,准确测量空隙率一直是科学研究和工业应用中的一项艰巨任务。根据电磁波传播原理,设计了同轴线相位传感器,建立了基于均相流的混合介电常数模型,并提出了基于混合介电常数模型的空隙率测量方法。在河北大学的高精度气液两相流模拟实验装置上进行了实验(70 个数据点),检验并验证了空隙率模型。比较了五种典型的混合介电常数相关性。引入频率权重,在串并联相关的基础上优化混合介电常数模型,提出并评估了一种新的弹流空隙率预测相关方法。结果表明,新的空隙率相关性的平均绝对百分比误差(MAPE)为 1.02%,所有相对误差均在±5%误差范围内。
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引用次数: 0
Physical constraint flow field reconstruction method for immersion scan-step flow 浸入式扫描步流的物理约束流场重建方法
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-08-31 DOI: 10.1016/j.flowmeasinst.2024.102682
Binpeng Zhan, Jialu Li, Weiting Liu, Liang Hu, Xin Fu

The lithography immersion flow field is highly sensitive to minor variations due to the precision demands of lithography. The scanning flow induces pressure fluctuations on the lens surface, subsequently impacting the quality of exposure. Previous measurement methods have encountered sparse distribution measurements on the lens surface due to limitations in sensor size and flow field dimensions. In this manuscript, the authors propose a modal fusion flow field reconstruction method, effectively integrating sensor-based experimental methods and equation-based computational methods. This method achieves high-resolution measurements of stress distribution and velocity distribution. Initially, a simulation of the flow field under operational conditions is conducted to acquire a dataset, followed by decomposing the dataset into modes to establish a modal library. Throughout the measurement process, the modal library is dynamically restructured based on sensor signal using a sparse representation method to forecast the flow field, and subsequently, the flow field is corrected in accordance with the Navier-Stokes equation.

由于光刻技术对精确度的要求,光刻浸入流场对细微变化非常敏感。扫描流动会引起透镜表面的压力波动,进而影响曝光质量。由于传感器尺寸和流场尺寸的限制,以往的测量方法对透镜表面的分布测量较为稀疏。在本手稿中,作者提出了一种模态融合流场重建方法,有效地整合了基于传感器的实验方法和基于方程的计算方法。该方法实现了应力分布和速度分布的高分辨率测量。首先,对运行条件下的流场进行模拟,获取数据集,然后将数据集分解为各种模态,建立模态库。在整个测量过程中,使用稀疏表示法根据传感器信号动态重组模态库,预测流场,然后根据纳维-斯托克斯方程校正流场。
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引用次数: 0
Experimental study of oil-water two-phase flow patterns in a vertical large diameter pipe 垂直大直径管道中油水两相流模式的实验研究
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-08-31 DOI: 10.1016/j.flowmeasinst.2024.102681
Landi Bai, Ningde Jin, Jiachen Zhang, Lei Ouyang, Chun Wang

The flow structure and the phase inversion have great influence on the flow measurement in vertical upward oil-water two-phase flow. This paper attempts to investigate the flow patterns in oil-water flows through a vertical upward large pipe with the designed mini-conductance array probes measurement system and the vertical multi-electrode array (VMEA) measurement system. According to the output waveform of the mini-conductance array probes, the oil-in-water flow, transition flow and water-in-oil flow can be identified effectively. The fluctuating signals of the VMEA is processed by the recurrence plot and the time-frequency representation, the results show that the VMEA conductance signal with average measurement characteristics can realize an effective identification of the above three flow patterns, which has a good agreement with the results of the mini-conductance array probes. Finally, via comparing with previous published flow pattern transition boundary models in different pipe diameters, it is founded that the boundary line of the transition to oil-in-water based on the kinematic wave-based model and the observation-based model in the same diameter pipe are consistent with our experimental data. And the pipe diameter affects the flow pattern transition, compared with the boundary in small diameter pipe, the phase inversion requires a larger oil velocity, and the transition zone becomes narrower in large diameter pipe.

流动结构和相位反转对垂直向上油水两相流的流动测量有很大影响。本文试图利用所设计的微型电导阵列探头测量系统和垂直多电极阵列(VMEA)测量系统研究油水两相流在垂直向上大型管道中的流动模式。根据微型电导阵列探头的输出波形,可以有效识别水包油流、过渡流和油包水流。通过递推图和时频表示法处理 VMEA 的波动信号,结果表明具有平均测量特性的 VMEA 电导信号可实现对上述三种流态的有效识别,这与微型电导阵列探头的结果具有很好的一致性。最后,通过与之前已发表的不同管道直径下的流型过渡边界模型进行比较,发现基于运动波的模型和基于观测的模型在同直径管道中向油包水过渡的边界线与我们的实验数据是一致的。而管道直径会影响流型过渡,与小直径管道的边界相比,相位反转需要更大的油速,大直径管道的过渡区变得更窄。
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引用次数: 0
Development of multi-view 3D reconstruction system for bubble flow measurement 开发用于气泡流动测量的多视角三维重建系统
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-08-31 DOI: 10.1016/j.flowmeasinst.2024.102680
Miki Saito, Taizo Kanai

This work introduces the development of bubble measurement method utilizing a three-dimensional (3D) reconstruction technique from multi-view images. Multiple synchronized cameras were positioned around a water container, and calibration was performed to obtain external and internal camera parameters. Images of bubbles emerging from a nozzle were captured, and a machine learning technique was used to extract bubble silhouettes as foreground probability distributions, enabling the extraction of bubbles from images obtained with a simple lighting setup. These distributions were then projected onto a 3D voxel space using the visual hull method. It was confirmed that the method can successfully capture bubble generation, detachment, and rise behaviors, offering insights into understanding bubble dynamics and potential applications in 3D computational fluid dynamics validation.

这项工作介绍了利用多视角图像三维(3D)重建技术开发的气泡测量方法。在水容器周围安装了多个同步相机,并进行了校准以获得外部和内部相机参数。捕捉从喷嘴冒出气泡的图像,并使用机器学习技术提取气泡轮廓作为前景概率分布,从而能够从使用简单照明装置获得的图像中提取气泡。然后,利用视觉全图法将这些分布投射到三维体素空间。结果证实,该方法能成功捕捉气泡的生成、脱离和上升行为,为理解气泡动力学提供了见解,并有可能应用于三维计算流体动力学验证。
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引用次数: 0
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Flow Measurement and Instrumentation
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