Identifying the optimal spatial distribution of tracers for optical sensing of stream surface flow

Abstract. River monitoring is of particular interest for our society that is facing increasing complexity in water management. Emerging technologies have contributed to opening new avenues for improving our monitoring capabilities, but also generating new challenges for the harmonised use of devices and algorithms. In this context, optical sensing techniques for stream surface flow velocities are strongly influenced by tracer characteristics such as seeding density and level of aggregation. Therefore, a requirement is the identification of how these properties affect the accuracy of such methods. To this aim, numerical simulations were performed to consider different levels of particle aggregation, particle colour (in terms of greyscale intensity), seeding density, and background noise. Two widely used image-velocimetry algorithms were adopted: i) Particle Tracking Velocimetry (PTV), and ii) Large-Scale Particle Image Velocimetry (LSPIV). A descriptor of the seeding characteristics (based on density and aggregation) was introduced based on a newly developed metric π. This value can be approximated and used in practice as π = ν0.1 / (ρ / ρcν1) where ν, ρ, and ρcν1 are the aggregation level, the seeding density, and the converging seeding density at ν = 1, respectively. A reduction of image-velocimetry errors was systematically observed by decreasing the values of π; and therefore, the optimal frame window was defined as the one that minimises π. In addition to numerical analyses, the Basento field case study (located in southern Italy) was considered as a proof-of-concept of the proposed framework. Field results corroborated numerical findings, and an error reduction of about 15.9 and 16.1 % was calculated – using PTV and PIV, respectively – by employing the optimal frame window.

[1]  Kazuo Ohmi,et al.  Particle-tracking velocimetry with new algorithms , 2000 .

[2]  Guillaume Dramais,et al.  Performance of image-based velocimetry (LSPIV) applied to flash-flood discharge measurements in Mediterranean rivers. , 2010 .

[3]  Maurizio Porfiri,et al.  Orienting the camera and firing lasers to enhance large scale particle image velocimetry for streamflow monitoring , 2014 .

[4]  Wernher Brevis,et al.  Integrating cross-correlation and relaxation algorithms for particle tracking velocimetry , 2011 .

[5]  Salvatore Manfreda,et al.  An Evaluation of Image Velocimetry Techniques under Low Flow Conditions and High Seeding Densities Using Unmanned Aerial Systems , 2020, Remote. Sens..

[6]  Damià Vericat,et al.  Hydrological and sediment transport dynamics of flushing flows: implications for management in large Mediterranean Rivers , 2009 .

[7]  Volker Weitbrecht,et al.  Proof‐of‐concept for low‐cost and non‐contact synoptic airborne river flow measurements , 2017 .

[8]  Maurizio Porfiri,et al.  Measurements and Observations in the XXI century (MOXXI): innovation and multi-disciplinarity to sense the hydrological cycle , 2018 .

[9]  F. Tauro,et al.  Surface flows from images: ten days of observations from the Tiber River gauge-cam station , 2017 .

[10]  S. Wereley,et al.  Three-dimensional particle tracking using micro-particle image velocimetry hardware , 2008 .

[11]  R. Adrian Particle-Imaging Techniques for Experimental Fluid Mechanics , 1991 .

[12]  Cam Tropea,et al.  High-precision sub-pixel interpolation in particle image velocimetry image processing , 2005 .

[13]  Jens Grundmann,et al.  Technical Note: Flow velocity and discharge measurement in rivers using terrestrial and unmanned-aerial-vehicle imagery , 2020 .

[14]  Matthew T Perks,et al.  Technical Note: advances in flash flood monitoring using unmanned aerial vehicles (UAVs). , 2016 .

[15]  Kelly K. Caylor,et al.  Analytical expressions of variability in ecosystem structure and function obtained from three-dimensional stochastic vegetation modelling , 2013, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[16]  Peter Stansby,et al.  Unsteady surface-velocity field measurement using particle tracking velocimetry , 1995 .

[17]  R. Adrian Twenty years of particle image velocimetry , 2005 .

[18]  Salvatore Grimaldi,et al.  PTV-Stream: A simplified particle tracking velocimetry framework for stream surface flow monitoring , 2019, CATENA.

[19]  Salvatore Grimaldi,et al.  Ice dices for monitoring stream surface velocity , 2017 .

[20]  S. Manfreda,et al.  A Theoretically Derived Probability Distribution of Scour , 2018, Water.

[21]  Pavlos Vlachos,et al.  A multi-parametric particle-pairing algorithm for particle tracking in single and multiphase flows , 2011 .

[22]  T. Moramarco,et al.  Potential advantages of flow-area rating curves compared to classic stage-discharge-relations , 2020, Journal of Hydrology.

[23]  Anton Kruger,et al.  Large-scale particle image velocimetry for flow analysis in hydraulic engineering applications , 1998 .

[24]  Salvatore Manfreda,et al.  Metrics for the Quantification of Seeding Characteristics to Enhance Image Velocimetry Performance in Rivers , 2020, Remote. Sens..

[25]  Flavia Tauro,et al.  Streamflow Observations From Cameras: Large‐Scale Particle Image Velocimetry or Particle Tracking Velocimetry? , 2017 .

[26]  B. Efron Double Exponential Families and Their Use in Generalized Linear Regression , 1986 .

[27]  Salvatore Manfreda,et al.  An ecohydrological framework to explain shifts in vegetation organization across climatological gradients , 2014 .

[28]  Maurizio Porfiri,et al.  Large-Scale Particle Image Velocimetry From an Unmanned Aerial Vehicle , 2015, IEEE/ASME Transactions on Mechatronics.

[29]  William Thielicke,et al.  PIVlab – Towards User-friendly, Affordable and Accurate Digital Particle Image Velocimetry in MATLAB , 2014 .

[30]  Jérôme Le Coz,et al.  Towards harmonisation of image velocimetry techniques for river surface velocity observations , 2019, Earth System Science Data.

[31]  M. Owe Long-term streamflow observations in relation to basin development , 1985 .

[32]  Markus Raffel,et al.  Particle Image Velocimetry: A Practical Guide , 2002 .

[33]  S. Manfreda,et al.  Exploring the optimal experimental setup for surface flow velocity measurements using PTV , 2018, Environmental Monitoring and Assessment.

[34]  Karl-Heinrich Anders,et al.  Drone-Based Optical Measurements of Heterogeneous Surface Velocity Fields around Fish Passages at Hydropower Dams , 2020, Remote. Sens..

[35]  Andrea Petroselli,et al.  A novel permanent gauge-cam station for surface-flow observations on the Tiber River , 2016 .

[36]  David Pairman,et al.  A relaxation labeling technique for computing sea surface velocities from sea surface temperature , 1995, IEEE Trans. Geosci. Remote. Sens..

[37]  S. Manfreda On the derivation of flow rating curves in data-scarce environments , 2018, Journal of Hydrology.

[38]  M. Fiorentino,et al.  BRISENT: An entropy-based model for bridge-pier scour estimation under complex hydraulic scenarios , 2017 .

[39]  John R. Post,et al.  Instream flow needs in streams and rivers: the importance of understanding ecological dynamics , 2006 .

[40]  Marian Muste,et al.  Large‐scale particle image velocimetry for measurements in riverine environments , 2008 .

[41]  C. Young,et al.  Application of an Automated Discharge Imaging System and LSPIV during Typhoon Events in Taiwan , 2018 .

[42]  Andreas Scheidegger,et al.  Urban overland runoff velocity measurement with consumer-grade surveillance cameras and surface structure image velocimetry , 2018, Journal of Hydrology.

[43]  Wen-Cheng Liu,et al.  Development and Application of an Automated River-Estuary Discharge Imaging System , 2012 .