Seeing through water: diffuse image-based depth measurements in three-dimensional dam-break flows

Fuente: arXiv
Saved in:
Bibliographic Details
Main Authors: Buono, Elia, Bosio, Roberto, Cagninei, Andrea, Poggi, Davide
Format: Preprint
Published: 2026
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866917223683063808
author Buono, Elia
Bosio, Roberto
Cagninei, Andrea
Poggi, Davide
author_facet Buono, Elia
Bosio, Roberto
Cagninei, Andrea
Poggi, Davide
contents In this work we present a dedicated experimental facility and an image-based method for measuring water depth in a radially spreading dam-break wave propagating over a horizontal plane. The facility consists of a prismatic reservoir containing a known volume of water dyed with a soluble colorant and equipped with a removable vertical breach whose geometry can be varied, and a 6.4 m x 3.4 m plane that can be inclined from 0° to 30°. The plane is enclosed within a light box providing highly uniform illumination through an array of 60 LED floodlights. Wave propagation is captured by two scientific CMOS cameras mounted on the ceiling of the light box, which record the spatial and temporal evolution of the dye-induced color intensity associated with the advancing water layer. Preliminary dry calibration tests were conducted to assess the spectral compatibility between the broadband white-LED emission, the CMOS sensor sensitivity, and the absorption properties of several dyes at different concentrations. This analysis identified the dye providing the highest attenuation within the effective spectral band of the imaging system, ensuring sensitivity to very small optical path lengths. Based on this characterization, a bi-exponential model is introduced to relate the normalized gray level to the optical path length. A series of dam-break experiments with five initial reservoir levels was performed to assess statistical repeatability. The high consistency observed across the repeated tests confirms the robustness of the measurement procedure. The validity of the reconstructed depth fields is further supported by independent estimates of the water volume released from the reservoir, obtained from an array of ultrasonic level sensors and from a calibrated analytical emptying model. Together, these comparisons confirm the reliability and accuracy of the proposed methodology.
format Preprint
id arxiv_https___arxiv_org_abs_2601_18398
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Seeing through water: diffuse image-based depth measurements in three-dimensional dam-break flows
Buono, Elia
Bosio, Roberto
Cagninei, Andrea
Poggi, Davide
Fluid Dynamics
In this work we present a dedicated experimental facility and an image-based method for measuring water depth in a radially spreading dam-break wave propagating over a horizontal plane. The facility consists of a prismatic reservoir containing a known volume of water dyed with a soluble colorant and equipped with a removable vertical breach whose geometry can be varied, and a 6.4 m x 3.4 m plane that can be inclined from 0° to 30°. The plane is enclosed within a light box providing highly uniform illumination through an array of 60 LED floodlights. Wave propagation is captured by two scientific CMOS cameras mounted on the ceiling of the light box, which record the spatial and temporal evolution of the dye-induced color intensity associated with the advancing water layer. Preliminary dry calibration tests were conducted to assess the spectral compatibility between the broadband white-LED emission, the CMOS sensor sensitivity, and the absorption properties of several dyes at different concentrations. This analysis identified the dye providing the highest attenuation within the effective spectral band of the imaging system, ensuring sensitivity to very small optical path lengths. Based on this characterization, a bi-exponential model is introduced to relate the normalized gray level to the optical path length. A series of dam-break experiments with five initial reservoir levels was performed to assess statistical repeatability. The high consistency observed across the repeated tests confirms the robustness of the measurement procedure. The validity of the reconstructed depth fields is further supported by independent estimates of the water volume released from the reservoir, obtained from an array of ultrasonic level sensors and from a calibrated analytical emptying model. Together, these comparisons confirm the reliability and accuracy of the proposed methodology.
title Seeing through water: diffuse image-based depth measurements in three-dimensional dam-break flows
topic Fluid Dynamics
url https://arxiv.org/abs/2601.18398