倾斜岸河流和水库水面污染带下的污染物质量浓度分布

Pollutant concentration distribution due to water surface pollution zone in river and reservoir with sloped-bank

基于静止水体中横向和垂向扩散系数不相等的瞬时线源二维扩散的解析解,推导出水面有限宽瞬时污染源二维扩散的质量浓度分布计算公式。在顺直倾斜岸坡大宽度深水情况下,基于横向和垂向扩散系数不相等的角形域映射原理,推导出倾斜岸水面瞬时污染带下角形域中二维扩散污染物质量浓度分布的理论公式。计算与分析结果表明,在简化条件下该公式与理论解完全一致,角形域倾角对污染物的质量浓度分布影响较大,角形域内质量浓度分布具有随倾角参数为奇、偶数而不同的特性,计算点距离岸坡顶点越近,角形域倾角对污染物质量浓度分布的影响越大;横坐标越大,影响越小;水深越大,影响也越小。

Based on the analytical solution of two-dimensional diffusion of the instantaneous line source in static water with different diffusion coefficients in transverse and vertical directions, a calculation formula for concentration distribution of two-dimensional diffusion of the instantaneous line source was determined for the condition of a finite-width water surface. A theory formula to describe two-dimensional diffusion concentration distribution caused by the instantaneous surface pollution source in an angular field was deduced based on mapping theory of an angular field with different diffusion coefficients in transverse and vertical directions. The theory formula is suitable for the river and reservoir, which are wide and deep enough with a straight sloped-bank. The calculation and analysis results show that the theory formula is in accordance with the theoretical solution under some simplified assumptions. The slope of the angular field has a strong influence on pollution concentration distribution, showing dual features based on the parity of the slope coefficient. From the spatial point of view, the sloped bank effect on the distribution is more obvious near the vertex. The influence of the slope of the angular field decreases as abscissa values and the water depth increase.