基于最小二乘法的二维瞬时点源的参数反演

The Parameter Inversion of Two-dimensional Instantaneous Point Source Based on Least Squares Method

水污染事故频发,及时获得污染源的相关参数对开展应急处理具有巨大的帮助。提出了一种基于最小二乘法的二维瞬时点源参数反演的新方法,并通过一个假想算例对提出的方法进行验证。首先利用二维瞬时点源的解析解产生假想算例的观测数据,然后采用提出的方法对这些观测数据进行处理,反演出了污染物排放位置及时间、排放强度、纵向离散系数等参数。对不同级别的观测数据误差对反演结果的影响进行了探究,同时也探究了监测点个数对反演结果的影响。结果表明:该方法可以同时对二维瞬时点源的源项参数和关键水动力参数进行反演;反演结果受观测数据误差影响较小;观测数据的数量也对反演结果有影响,但是影响不大;该方法可以在实际当中发挥作用。

Water pollution accidents occur frequently,and timely acquisition of relevant parameters of pollution source is needed to carry out emergency treatment.This paper presents a new method of two-dimensional instantaneous point source parameters inversion based on least square method.Firstly,the analytical solution of two-dimensional instantaneous point source is used to generate the observed data of hypothetical examples.Then the proposed method is used to process the observed data,and the parameters such as pollutant emission position and time,emission intensity and longitudinal dispersion coefficient are obtained.This paper explores the influence of observation data errors on the inversion results,as well as the influence of the number of monitoring points.The results show that the method can get the source parameters and key hydrodynamic parameters of two-dimensional instantaneous point source simultaneously.The inversion results are less affected by the errors of the observed data;the number of observation data also has an effect on the inversion results,but the effect is not significant;this method can be used in practice.