Calculation Model of Soil Dam Wash-Away Due to Overflow
Water flow over soil dam crest causes its fast failure. Break-through wave being formed in dam ebb side leads to drastic economic and social consequences. Accuracy in calculation of the break-through wave parameters depends on the accuracy of discharge hydrograph construction in the dam erosion site. A calculation scheme for soil dam wash-away due to overflow has been devised on the basis of the experimental data. Wash-away process is divided in two stages in accordance with the devised scheme. Wash-away of the downstream toe occurs at the first stage. The crest level from the side of up-stream edge remains constant. Intensive crest lowering is observed at the second stage. The eroding body is considered to have a shape of a round-crested weir. In such a case the washed-away massif has a form of nappe-shaped crest profile. A mathematical model has been developed on the basis of this scheme and according to this model equations of deformation and flow motion are considered simultaneously. The model is consistent in a good way with physical erosion pattern during fast flood rise and when the erosion width is known; the model is recommended for calculation of breaching sections in reserve water outlets. In general case and when the width is unlimited (three-dimensional problem) calculation formulae have one more unknown variable that is flow width within the erosion site. The paper describes peculiar features in physiccal erosion pattern for such case and a number of the known formulae for determination of the erosion have been given and analyzed in the paper. The equation which fits in a good way in the proposed mathematical model has been chosen, and it provides the possibility to adapt the model for three-dimensional erosion conditions. Calculations made in accordance with the proposed methodology make it possible to construct discharge hydrograph in the dam erosion site.