Soil erosion in the boundary layer flow along a slope: a theoretical study

被引:28
作者
Brivois, Olivier
Bonelli, Stephane
Borghi, Roland
机构
[1] Irstea, F-13182 Aix En Provence 5, France
[2] CNRS, UPR 7051, Lab Mecan & Acoust, F-13402 Marseille, France
[3] EGIM, IMT, Technopole Chateau Gombert, F-13451 Marseille, France
关键词
erosion modelling; turbulent two-phase flow; boundary layer;
D O I
10.1016/j.euromechflu.2007.03.006
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
To better understand the phenomena involved in hydraulic erosion of soils, the influence of the eroded mass flow rate on the velocity field of the water flow is investigated by an original theoretical model. We consider the situation of a turbulent two-phase fluid flow over an erodable solid medium, with both turbulent stresses and turbulent particles diffusion in the flow. In the reference frame linked to the ground surface, the flow can be considered as a quasi-steady state and modelled by the boundary layer equations with addition of mass injection from the ground to account for erosion. To solve completely the problem, the prescription of a local erosion criterion is necessary to evaluate the local eroded mass flow rate. We consider here a purely mechanical process: the eroded flow rate is proportional to the difference between the tangential stress induced by the flow and a critical value characteristic of the soil. In this theoretical frame, we can study the influence of several parameters, as the slope of the ground or the sediments density. One of the main results obtained is the existence for a given set of the parameters of a critical slope angle separating two different erosion regimes. (c) 2007 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:707 / 719
页数:13
相关论文
共 25 条
  • [11] Prandtl's mixing length concept modified for equilibrium sediment-laden flows
    Kovacs, AE
    [J]. JOURNAL OF HYDRAULIC ENGINEERING-ASCE, 1998, 124 (08): : 803 - 812
  • [12] Removing the marching breakdown of the boundary-layer equations for mixed convection above a horizontal plate
    Lagrée, PY
    [J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2001, 44 (17) : 3359 - 3372
  • [13] Erosion and sedimentation of a bump in fluvial flow
    Lagrée, PY
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE, 2000, 328 (12): : 869 - 874
  • [14] NIGMATULIN RI, 1999, DYNAMICS MULTIPHASE
  • [15] Partheniades E., 1965, J Hydraul Eng Div ASCE, V91, P105139, DOI 10.1061/JYCEAJ.0001165
  • [16] Raudkivi A.J., 1998, Loose Boundary Hydraulics
  • [17] SAVIOLI JC, 2000, TURBULENCE SEDIMENT
  • [18] SCHLICHTING H, 1979, BOUNDARY LAYER THERO
  • [19] Singh V.P., 1996, DAM BREACH MODELLING
  • [20] ANALYSIS OF GRADUAL EARTH-DAM FAILURE
    SINGH, VP
    SCARLATOS, PD
    [J]. JOURNAL OF HYDRAULIC ENGINEERING-ASCE, 1988, 114 (01): : 21 - 42