摘要
海潮及受其影响的海岸带地下水位具有复杂的周期性变化和趋势性变化。该文建立趋势项与周期项之和的数学模型来描述水位的实际变化。用线性函数拟合其趋势项,用傅立叶级数拟合其周期项,用频谱分析和最小二乘法确定周期项函数。用实测水位和计算水位的误差平方和检验拟合结果。结果表明拟合效果好。所建立的数学模型可以用来对海潮和岸边地下水位变化进行预测,预测水位总体上能较好地反映实测水位的变化特点,适宜于较短时间的预测。
Complex periodic changes and trending changes can be observed in tide and groundwater level affected by the tide in coastal aquifers. In this paper, mathematic models including a trending term and a periodic term are developed to describe the changes in the water level. The trending term can be described by using a linear function and the periodic term by a Fourier series. The spectrum analysis method and the minimum square method are used to construct the Fourier series. Fitting is verified with the sum of square of deviation of observed and computed water level until satisfactory fitting is obtained. The developed mathematical model can be used to predict the changes in tide and groundwater level in coastal aquifers. The predictive water level is thought to reflect characteristics of observed time series of tide and groundwater level near coastal area. The model is suitable in short-time prediction of water level in coastal aquifer.
出处
《勘察科学技术》
2006年第1期10-14,共5页
Site Investigation Science and Technology
基金
教育部博士学科点科学研究基金项目(20020491001)
关键词
滨海含水层
频谱分析
拟合
预测
coastal aquifer
spectrum analysis
fitting
prediction
作者简介
周训，男，1963年生，博士，教授，博士生导师，从事水文地质、环境地质的教学和科研工作。
