A scale‐invariant property of the water retention curve in weakly heterogeneous vadose zones

Severino, Gerardo; Bartolo, Samuele De

doi:10.1002/hyp.13381

Cited by 4 publications

(3 citation statements)

References 46 publications

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“…10 shows that there is a first range with evident simple-scaling behavior, which runs from values of / equal to 0.056 up to about 0.28, and then a second range with a different trend, showing an increase of K for the remaining part. This latter behavior is in accordance with what was found by Severino and De Bartolo (2019) in a recent study concerning the water retention curves.…”

Section: Resultssupporting

confidence: 93%

Use of fractal models to define the scaling behavior of the aquifers’ parameters at the mesoscale

Fallico

Bartolo

Brunetti

et al. 2020

Stoch Environ Res Risk Assess

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We present an experimental study aiming at the identification of the hydraulic conductivity in an aquifer which was packed according to four different configurations. The conductivity was estimated by means of slug tests, whereas the other parameters were determined by the grain size analysis. Prior to the fractal we considered the dependence of the conductivity upon the porosity through a power (scaling) law which was found in a very good agreement within the range from the laboratory to the meso-scale. The dependence of the conductivity through the porosity was investigated by identifying the proper fractal model. Results obtained provide valuable indications about the behavior, among the others, of the tortuosity, a parameter playing a crucial role in the dispersion phenomena taking place in the aquifers.

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Section: Resultssupporting

confidence: 93%

Use of fractal models to define the scaling behavior of the aquifers’ parameters at the mesoscale

Fallico

Bartolo

Brunetti

et al. 2020

Stoch Environ Res Risk Assess

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“…Our approach is based on a direct scaling since analyses do not fit any specific model of

. This empirical approach is well-known in literature, see for example [ 52 ] and in other contexts as to estimate the rate of sea level rise at some selected tide gauges around the world [ 53 ], in porous media [ 54 , 55 ], and in the framework of fluid mechanics [ 56 , 57 ].…”

Section: Methodsmentioning

confidence: 99%

Direct Scaling of Measure on Vortex Shedding through a Flapping Flag Device in the Open Channel around a Cylinder at Re∼103: Taylor’s Law Approach

Bartolo

Vittorio

Francone

et al. 2021

Sensors

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The problem of vortex shedding, which occurs when an obstacle is placed in a regular flow, is governed by Reynolds and Strouhal numbers, known by dimensional analysis. The present work aims to propose a thin films-based device, consisting of an elastic piezoelectric flapping flag clamped at one end, in order to determine the frequency of vortex shedding downstream an obstacle for a flow field at Reynolds number Re∼103 in the open channel. For these values, Strouhal number obtained in such way is in accordance with the results known in literature. Moreover, the development of the voltage over time, generated by the flapping flag under the load due to flow field, shows a highly fluctuating behavior and satisfies Taylor’s law, observed in several complex systems. This provided useful information about the flow field through the constitutive law of the device.

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“…Our approach is based on a direct scaling since analyses do not fit any specific model of v(t). This empirical approach is well-known in literature, see for example [52] and in other contexts as to estimate the rate of sea level rise at some selected tide gauges around the world [53], in porous media [54,55], and in the framework of fluid mechanics [56,57].…”

Section: Direct Scaling Analysis On the Voltage Fluctuations: Taylor's Law Approachmentioning

confidence: 99%

Scaling of Measure Fluctuations on a Flapping Flag Device in the Open Channel Around a Cylinder At $Re=10^4$ : Taylor's Law Approach

Bartolo¹,

Vittorio²,

Francone³

et al. 2021

Preprint

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Experimental evidence showed how various complex systems, characterized by a fluctuation scaling, satisfy the well-known Taylor's law. The present work aims to apply for the first time Taylor's law, given its general treatment, for a flow field at $Re$ around $10^4$, since activity of each fluid particle is highly fluctuating, especially in the context of vortex shedding. In addition, the further element of innovation is the use of an innovative thin-films based device consisting of an elastic piezoelectric flapping flag that is proposed as a measuring instrument of the flow field. The oscillations of the flapping flag, due to the vortexes release downstream to an obstacle of cylindrical shape, generate an alternating piezoelectric voltage whose time history is similar to the chaotic components of the fully developed turbulent speed. Preliminary experimental results about the use of thin-films based device in a flume channel are reported together with a second order analysis on the voltage difference and a scaling law of the exponent scale.

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A scale‐invariant property of the water retention curve in weakly heterogeneous vadose zones

Cited by 4 publications

References 46 publications

Use of fractal models to define the scaling behavior of the aquifers’ parameters at the mesoscale

Use of fractal models to define the scaling behavior of the aquifers’ parameters at the mesoscale

Direct Scaling of Measure on Vortex Shedding through a Flapping Flag Device in the Open Channel around a Cylinder at Re∼103: Taylor’s Law Approach

Scaling of Measure Fluctuations on a Flapping Flag Device in the Open Channel Around a Cylinder At $Re=10^4$ : Taylor's Law Approach

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