基于土壤重金属污染评价的数学模型

Mathematic Model for Evaluation of Soil Heavy Metal Pollution

本文采用离散插值、多元非线性回归分析、有限差分法等方法,建立了一种针对土壤中重金属污染程度评价的数学模型,模型包含重金属污染的主要原因、重金属污染源的查证。采用指数函数和多项式拟合建立其数学空间理论模型,结合实际物理扩散方式,得到污染物的传播特征模型;再通过离散插值得到污染物浓度峰值的仿真点位置坐标,进而利用多元非线性回归的方法,对仿真点附近区域内的采集数据实现拟合,定位各个污染源。

In this study, mathematic models for evaluation of soil heavy metal pollution were established by adopting the methods of discrete interpolation, multivariate nonlinear regression and finite difference. The models involved the main factors affecting the heavy metal pollution and verification of the pollution sources. The mathematical space theory model was built by fitting the exponential function and polynomial and then the model of pollutants spreading was obtained by considering real physical diffusion ; the coordinate of the simulated pollutant concentration peak was obtained by using discrete interpolation; then the data collected around the simulated points were fitted for positioning the pollution source by using multivariate nonlinear regression.