Concentrated Leak Erosion

Benahmed, Nadia; Chevalier, Christophe; Bonelli, Stéphane

doi:10.1002/9781118577165.ch4

Cited by 23 publications

(28 citation statements)

References 33 publications

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“…Integrating the Navier/Stokes equations with erosion concerning Eq. ( 26), Bonelli et al [10] showed that the radius increase factor…”

Section: Likelihood Function and Definition Of Prior Distributionmentioning

confidence: 99%

“…We refer to the case shown in Figure 2, where the transversal section of an earth dam is in the condition of absence of a filter or inability to stop the continuation of the erosion process. Such a section is geometrically defined by the total height dam H , the widths of the In this content, Bonelli et al [10] proposed a formulation to obtain a closed form expression of ( ) R t , by means of the simplifying assumptions that constant pressure drop and both the head and the momentum loss factors, α and β, are stationary during the pipe enlargement. Accordingly, it is possible to show that the initiation of the erosion occurs when the initial radius of the pipe is higher than a critical value c R depending on the critical shear stress c  by means of the relation…”

Section: Likelihood Function and Definition Of Prior Distributionmentioning

confidence: 99%

“…is the additional set of parameters of such a model, (  is a parameter used to correct for the bias of the approximated formulation of Bonelli et al [10] in Eq. ( 28),   r is a normal random variable with zero mean and unit variance and   r is the standard deviation of the model error…”

Section: Probabilistic Model Formulationmentioning

confidence: 99%

“…Jet Erosion Test (JET) [4][5][6] and Hole Erosion Test (HET) [7][8][9][10] are among the most recent experimental test procedures for determination of critical shear stress and the coefficient of erosion, which has proved to be a successful test for a number of soils. However, these tests can be time-consuming and difficult to perform compared to most common geotechnical investigations.…”

Section: Introductionmentioning

confidence: 99%

“…Andreini et al [11] proposed also fragility curves indicating the conditional probability of erosion initiation, without addressing the evolution of the pipe enlargement in an embankment. Such an evolution requires the definition of a proper analytical formulation of the hole radius increase versus time [10].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Probabilistic models for the erosion rate in embankments and reliability analysis of earth dams

Andreini

Gardoni

Pagliara

et al. 2019

Reliability Engineering & System Safety

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Probabilistic models for the concentrated leak erosion of earthen water retaining structures are presented. The models predict the values of the critical shear stress, the coefficient of erosion and the pipe radius enlargement, starting from other measurable soil properties and the geometrical dimensions of the embankment. The models account for both the non-cohesive and cohesive contributions to the erosion behavior. A Bayesian approach is used for the treatment of the unknown parameters. An importance sampling simulation is adopted to calibrate the models and estimate the posterior distribution of the unknown model parameters using laboratory and in situ experimental data. The new proposed probabilistic model for the pipe radius is then used to develop fragility curves that capture the pipe enlargement as a function of time for a given earth dam.

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“…Integrating the Navier/Stokes equations with erosion concerning Eq. ( 26), Bonelli et al [10] showed that the radius increase factor…”

Section: Likelihood Function and Definition Of Prior Distributionmentioning

confidence: 99%

Section: Likelihood Function and Definition Of Prior Distributionmentioning

confidence: 99%

Section: Probabilistic Model Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Probabilistic models for the erosion rate in embankments and reliability analysis of earth dams

Andreini

Gardoni

Pagliara

et al. 2019

Reliability Engineering & System Safety

View full text Add to dashboard Cite

show abstract

Internal erosion in granular media: direct numerical simulations and energy interpretation

Sibille

Lominé

Poullain

et al. 2014

Hydrological Processes

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Internal erosion in soils is characterized by a first step of detachment of solid particles from the granular skeleton under the action of a water seepage; then the detached particles are transported with the water flow. For some erosion processes, as suffusion, transported particles may finally be redeposited within the interstitial space of the soil itself acting as a filter. This paper focuses on the analysis and the description of the two first steps of particle detachment and transport in the cases of erosion by suffusion and piping erosion. The analysis is mainly based on direct numerical simulations performed with a fully coupled discrete element-lattice Boltzmann method (DE-LB method). Inter-particle interactions occurring in the solid granular phase are described with the discrete element method, whereas dynamics of the water flow is solved with the lattice Boltzmann method. Simulation results show that internal erosion of the solid phase can be described either from the hydraulic shear stress or from the power expended by the water seepage.The latter description based on the flow power is finally compared with experimental results from laboratory tests.

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Experimental investigation of microstructural changes in soils eroded by suffusion using X-ray tomography

et al. 2019

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Internal erosion is a complex phenomenon which represents one of the main risks to the safety of earthen hydraulic structures such as embankment dams, dikes or levees. Its occurrence may cause instability and failure of these structures with consequences that can be dramatic. The specific mode of erosion by suffusion is the one characterized by seepage flow induced erosion and the subsequent migration of the finest soil particles through the surrounding soil matrix mostly constituted of large grains. Such a phenomenon can lead to a modification of the initial microstructure and, hence, to a change in the physical, hydraulic and mechanical properties of the soil.A direct comparison of the mechanical behaviour of soil before and after erosion is often used to investigate the impact of internal erosion on soil strength (shear strength at peak and critical state) using triaxial tests.However, the obtained results are somehow contradictory, as for instance in Chang's study [1], where it is concluded that the drained strength of eroded soil decreases compared to non-eroded soil while both Xiao and Shwiyhat [2] and Ke and Takahashi [3] have come to the opposite conclusion. A plausible explanation of these contradictions might be attributed to the rather heterogeneous nature of the suffusion process and to the way the coarse and fine grains are rearranged afterwards leading to a heterogeneous soil structure, a point that, for now, is not taken into account, nor even mentioned, in the existing analyses.In the present study, x-ray computed tomography (x-ray CT) is used to follow the microstructure evolution of a granular soil during a suffusion test, and therefore, to capture the induced micro-structural changes. The images obtained from x-ray CT reveal indeed that fine particles erosion is obviously not homogeneous, highlighting the existence of preferential flow paths that lead to a heterogeneous sample in terms of fine particles, void ratio and inter-granular void ratio distribution.

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Concentrated Leak Erosion

Cited by 23 publications

References 33 publications

Probabilistic models for the erosion rate in embankments and reliability analysis of earth dams

Probabilistic models for the erosion rate in embankments and reliability analysis of earth dams

Internal erosion in granular media: direct numerical simulations and energy interpretation

Experimental investigation of microstructural changes in soils eroded by suffusion using X-ray tomography

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