High-Precision Flow Rate Measurement Based on Distributed Optical Fiber Acoustic Sensing

Abstract

We have numerically and experimentally investigated the flow rate measurement of the pipeline based on the optical fiber. Employing the large eddy simulation (LES) model, we have quantitatively analyzed the pressure fluctuation of the pipe wall caused by the turbulent flow in the pipeline. The simulation results have shown that the standard deviation of pressure fluctuation was quadratic with the flow rate. We have verified the theoretical model by using a distributed optical fiber acoustic sensing (DAS) system in the flow rate range from 0.61 m/s to 2.42 m/s. The experimental results were consistent with the simulation results very well. Furthermore, to improve the measuring error at the low flow rate, we have employed the composite adaptive denoising algorithm to eliminate the background noise and system noise. The final results have shown that the minimum goodness of fit was improved from 0.962 to 0.997, and the variation of the quadratic coefficient significantly decreased by 93.25%. The measured flow rate difference was only 0.84% between different sensing points in repeated experiments.

Keywords

Distributed optic fiber sensing / flow rate measurement / large eddy simulation / adaptive denoising algorithm

References

[1] ChenZ, GuoZ, MuX, LiQ, WuX, FuH Y. Packaged microbubble resonator optofluidic flow rate sensor based on Bernoulli effect. Optics Express, 2019, 272536932-36940.

[2] MartinsR S, AquinoG S, MartinsM F, RamosR. Sensitivity analysis for numerical simulations of disturbed flows aiming ultrasonic flow measurement. Measurement, 2021, 185: 110015.

[3] GeL, WangS, LiL, ChenJ, JiZ, LiuZ, et al. . Optimization of electromagnetic flow measurement system based on a new mesh electrode. Measurement, 2023, 217: 113012.

[4] WangQ, HanL, LiaoX. Experiment on a distributed fiber optic interferometric sensing system to monitor and locate urban high-density polyethylene gas pipe leakage. Journal of Optical Technology, 2021, 889536-542.

[5] HeT, SunQ, ZhangS, LiH, YanB, FanC. A dual-stage-recognition network for distributed optical fiber sensing perimeter security system. Journal of Lightwave Technology, 2022, 41131-9

[6] LiuM, YangX, SongH, ZhouF, WuY. FBG-based nonintrusive monitoring method for the impact force on 90° pipe elbow. IEEE Transactions on Instrumentation and Measurement, 2021, 70: 1-10.

[7] GouvêaP M P, MedeirosK A R, RibeiroA S, BarbosaC R H, d’AlmeidaJ R M, BragaA M B. Non-intrusive fluid flow measurement by FBG sensing of flow-induced vibrations. Advanced Photonics 2018, OSA Technical Digest, 2018BM3A.6(Online)

[8] WangK, LiuZ, LiuG, YiL, YangK, LiR, et al. . Vibration sensor approaches for the sand detection in gas-sand two phases flow. Powder Technology, 2016, 288: 221-227.

[9] AllilA S, DutraF S, DanteA, CarvalhoC C, AllilR C S B, WerneckM M. FBG-based sensor applied to flow rate measurements. IEEE Transactions on Instrumentation and Measurement, 2021, 70: 1-8.

[10] HuJ, PengH, LiuT, YaoX, WuH, LuP. A flow sensing method of power spectrum based on piezoelectric effect and vortex-induced vibrations. Measurement, 2019, 131: 473-481.

[11] EvansR P, BlotterJ D, StephensA G. Flow rate measurements using flow-induced pipe vibration. Journal of Fluids Engineering, 2004, 1262280-285.

[12] PittardM T, EvansR P, MaynesR D, BlotterJ D. Experimental and numerical investigation of turbulent flow induced pipe vibration in fully developed flow. Review of Scientific Instruments, 2004, 7572393-2401.

[13] MedeirosK A R, OliveiraF L A, BarbosaC R H, OliveiraE C. Optimization of flow rate measurement using piezoelectric accelerometers: application in water industry. Measurement, 2016, 91: 576-581.

[14] DuY, ShangY, WangC, YiJ, SunM, YangJ, et al. . Intrusive and non-intrusive microflow measurement based on distributed optical fiber acoustic sensing. Measurement, 2023, 210: 112513.

[15] LiT, FanC, LiH, HeT, QiaoW, ShiZ. Nonintrusive distributed flow rate sensing system based on flow-induced vibrations detection. IEEE Transactions on Instrumentation and Measurement, 2021, 70: 1-8

[16] YanB, LiH, ZhangK, XiaoX, HeT, FanC. Quantitative identification and localization for pipeline microleakage by fiber distributed acoustic sensor. Journal of Lightwave Technology, 2023, 41165460-5467.

[17] LiT, QiaoW, LiH, SunQ, YanZ, LiuD. Distributed acoustic sensor based sand content detection in solid-liquid two-phase flow. 2020 Asia Communications and Photonics Conference, 20201-3

[18] LiF, WangP, HeC, LiY. Dynamic delayed detached-eddy simulation and acoustic analogy analysis of unsteady flow through a sudden expansion pipe. Journal of Visualization, 2022, 255999-1015.

[19] YoungD F, MunsonB R, OkiishiT H, HuebschW WA Brief Introduction to Fluid Mechanics, 2001New YorkWiley

[20] ChristopherS, YuanS, PeiJ, ChengG, WangY. Study of flow induced noise in vertical inline pump using lighthill analogy. the 3rd International Conference on Design, Analysis, Manufacturing and Simulation, 201801010

[21] ShangY, LiuX, WangC, SunB, LiG, ZhaoW, et al. . Research of optical fiber fluid flow monitoring system using flow-induced pipe vibration in the oil production. Advanced Materials Research, 2012, 616–618: 996-999.

[22] ThomsonW TTheory of Vibration with Applications, 1993EnglewoodPrentice-Hall.

[23] FinnemoreE J, FranziniJ BFluid Mechanics With Engineering Applications, 2001BostonMcGraw-Hill

[24] LiY, LiuZ, XuY, ZhangN. Large eddy simulation of the flow field in centrifugal fan and numerical prediction of noise in pipe. Chinese Journal of Ship Research, 2019, 14447-55

[25] ZhangZ, YuanH, FuM, ChenT, GaoY, FengG. Theoretical investigation on the characteristics of leak noise for natural gas pipelines. Journal of Theoretical and Computational Acoustics, 2020, 2832050005.

[26] KongK, JungS, JeongT, KohD. 1D-3D coupling algorithm for unsteady gas flow analysis in pipe systems. Journal of Mechanical Science and Technology, 2019, 33: 4521-4528.

[27] PopeS BTurbulent Flows, 2000New YorkCambridge University Press.

[28] LalanneCRandom Vibration, 2002Boca RatonCRC

[29] CaugheyT K, StumpfH J. Transient response of a dynamic system under random excitation. Journal of Applied Mechanics, 1961, 284563-566.

[30] LiH, SunQ, LiuT, FanC, HeT, YanZ. Ultra-high sensitive quasi-distributed acoustic sensor based on coherent OTDR and cylindrical transducer. Journal of Lightwave Technology, 2020, 384929-938.

[31] XiaoC, LongJ, JiangL, YanG, RaoY. Review of sensitivity-enhanced optical fiber and cable used in distributed acoustic fiber sensing. 2022 Asia Communications and Photonics Conference, 2022359-363.

[32] SagautPLarge Eddy Simulation for Incompressible Flows an Introduction, 2006HeidelbergSpringer Berlin

[33] KottapalliS, HirschbergA, AnantharamanV, SmeuldersD M J, WatersonN, NakibogluG. Hydrodynamic and acoustic pressure fluctuations in water pipes due to an orifice: comparison of measurements with large eddy simulations. Journal of Sound and Vibration, 2022, 529: 116882.

[34] HaykinSAdaptive Filter Theory, 2002Upper Saddle RiverPrentice-Hall

[35] ZhangT, ZhangY O, OuyangH. Structural vibration and fluid-borne noise induced by turbulent flow through a 90° piping elbow with/without a guide vane. International Journal of Pressure Vessels and Piping, 2015, 125: 66-77.

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