SoDA project: A simulation of soil surface degradation by rainfall

Valette, Gilles; Prévost, Stéphanie; Lucas, Laurent; Léonard, Joël

doi:10.1016/j.cag.2006.03.016

Cited by 40 publications

(19 citation statements)

References 31 publications

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“…Other water flow models have been developed, e.g. to simulate the growth of small rills in response to hillslope erosion (Favis-Mortlock 1998), to measure soil erosion at microscopic scales in SoDa (Valette et al 2006), or to simulate basin responses using a wave approximation for in-channel flows . Coulthard et al (2007) and Van de Wiel et al (2007) recently introduce a gradually varied CA for catchment evolution modelling that includes sediment transport dynamics.…”

Section: Methodsmentioning

confidence: 99%

A flash flood hazard assessment in dry valleys (northern France) by cellular automata modelling

et al. 2014

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This paper presents an application of a cellular automaton-based run-off model (RUICELLS) to a series of small dry valleys in the Seine-Maritime department, northern France, to better assess their susceptibility to flash flood. These muddy floods shortly follow high rainfall (50-100 mm in less than 6 h) and occur in very small areas (\20 km 2 ). A surge generally rushes down through the main valley just a few minutes after rains have peaked. Previous events (n = 69, in the period 1983-2005) have occasionally threatened human lives and have caused significant damage to property and infrastructure. Nonetheless, given the variation among the valleys and the infrequency of events, these floods have not been numerous enough to permit a statistical analysis. Instead, we numerically simulate the possible future flash floods using RUICELLS, a cellular automaton model driven by a set of three deterministic hydrological rules. Simulations have been conducted for 148 basins, each subject to 16 different rainfall scenarios (2.368 simulations in total) to (1) estimate the peak flow discharges (Q), the specific peak flows (Q s ), and the lag times (T) of the flash floods and (2) 123Nat Hazards (2015) 75:2905-2929 DOI 10.1007/s11069-014-1470 warnings and increased vigilance. Our simulations indicate that the number of basins susceptible to flash flooding greatly increases with the higher rainfall intensity, the distribution of sensitive crops (sugar beet, corn, maize, and flax) and the basin morphology. Several small basins could also induce by convergence a bigger flood in the downstream humid valleys. The location of the highest simulated discharges is aligned with observed events, and this comparison provides an evaluation of the modelling performance and of the credibility of the results.

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Section: Methodsmentioning

confidence: 99%

A flash flood hazard assessment in dry valleys (northern France) by cellular automata modelling

et al. 2014

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“…To our knowledge, validation of computer simulations has not yet been accomplished, though it has been attempted with some success by the SODA project. Valette et al (2006) presented work in which they take a sample of soil and model it as an extended cellular automaton on a grid, where each cell of the grid has many possible states, ranging from surface to sediment. Rain is randomly applied to the surface, and each surface cell's states is recalculated, allowing some cells to be detached from the surface and travel with the water.…”

Section: Validationmentioning

confidence: 99%

Centrifuge modeling of transverse cracking in dam core

2010

Physical Modelling in Geotechnics, Two Volume Set

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Research is being done to study the details and progress of soil erosion on levees and dams, including the formation and progression of rills and gullies on the slopes, and eventually to final breaching. These detailed observations of erosion differ from the typical predictions of only the maximum erosion or scour depths, for example around submerged bridge piers. Computer simulations and geotechnical centrifuge modelling will, in the future, be validated using these observations. For testing, single layer sand models were utilized, and will be followed by clayey and mixed soils, and increased number of layers. The computer simulations will incorporate 3-D Navier-Stokes fluid simulations, and a novel segmented height field extended to allow soil undercuts was developed. The primary intent of the research is to study small-scale erosion on earthen embankments and, ultimately, develop novel and robust erosion software, validated by physical modelling.Figure 1: A levee that was overtopped for several hours during the Katrina hurricane but did not fail. The dramatic gouging/scooping on the lower portions of the levee is due to increased water flow at the base of the levee and the nonhomogeneous nature of the embankment.

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“…Since their conceptualization by von Neumann [31] more than 60 years ago, cellular automata (CA) have proven their usefulness in applied sciences as adequate modeling tools in numerous scientific fields, such as epidemiology [21,33], demography [7,8,15], microbiology [23,24], traffic engineering [9], hydrology and geology [10,12,13,22,29], and numerous others [1,18,20,25], while in exact sciences much attention has been given to the complex spatio-temporal dynamics of these intrinsically simple discrete dynamical systems [6,26,[35][36][37]. In contrast to continuous dynamical systems such as ordinary and partial differential equations (ODE and PDE) that often allow to investigate the system's stability properties without having to solve the ODE or PDE, adequate conclusions about a CA's dynamical properties can mostly only be drawn from extensive computer simulations [17,35,37], except for the class of additive CA [34].…”

Section: Introductionmentioning

confidence: 99%

Towards Generalized Measures Grasping CA Dynamics

Baetens

Baets

2010

Lecture Notes in Computer Science

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Abstract. In this paper we conceive Lyapunov exponents, measuring the rate of separation between two initially close configurations, and Jacobians, expressing the sensitivity of a CA's transition function to its inputs, for cellular automata (CA) based upon irregular tessellations of the n-dimensional Euclidean space. Further, we establish a relationship between both that enables us to derive a mean-field approximation of the upper bound of an irregular CA's maximum Lyapunov exponent. The soundness and usability of these measures is illustrated for a family of 2-state irregular totalistic CA.

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SoDA project: A simulation of soil surface degradation by rainfall

Cited by 40 publications

References 31 publications

A flash flood hazard assessment in dry valleys (northern France) by cellular automata modelling

A flash flood hazard assessment in dry valleys (northern France) by cellular automata modelling

Centrifuge modeling of transverse cracking in dam core

Towards Generalized Measures Grasping CA Dynamics

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