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干旱区地理 ›› 2003, Vol. 26 ›› Issue (4): 323-328.doi: 10.13826/j.cnki.cn65-1103/x.2003.04.005

• 资源与生态研究 • 上一篇    下一篇

地下水非稳定流中erfc(λ）、ierfc(λ）逼近公式的推求及其应用

苏里坦1,2, 宋郁东1, 古丽美拉3   

  1. 1 中国科学院新疆生态与地理研究所,乌鲁木齐 830011;
    2 河海大学水利水电工程学院,南京 210098;
    3 新疆水利水电科学研究院,乌鲁木齐 830049
  • 收稿日期:2003-04-11 修回日期:2003-10-17 出版日期:2003-04-25 发布日期:2025-12-22
  • 作者简介:苏里坦(1973–）,男,河海大学水利水电工程学院在读博士,主要从事干旱区水资源与生态环境研究,E-mail：sultan77@sina.com
  • 基金资助:
    国家重点基础研究973项目(G1999043506）

Reckoning of Erfc(λ） and Ierfc(λ） Approximation Formula in Non-Stable Groundwater Flows and Their Application in Tarim River Watershed

Sulitan1,2, SONG Yu-dong2, Gulimeila3   

  1. 1 Xinjiang Institute of Ecology and Geography,CAS,Urimqi 830011;
    2 College of Water Conserv ancy and Hydroelectric Engineering, Hohai University,Nanjing 210098;
    3 Xinjiang Research Institute of Water Resources and Hydroelectric Sciences Urimqi 830049
  • Received:2003-04-11 Revised:2003-10-17 Published:2003-04-25 Online:2025-12-22

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摘要： 对erfc(λ）和ierfc(λ）公式传统的求算手段是通过查表的方法。是在已有的erfc(λ）和ierfc(λ）不可积公式的基础上,作者初步推导了不带不可积积分的erfc(λ）和ierfc(λ）的逼近公式,亦即不需要查表也能够算出其精确结果,并引用它建立了地下水非稳定流混合模型。此外,作者通过使用可视化开发语言VisualBasic和GIS工具软件MapObjects开发了塔里木河水资源决策支持系统。最后用该决策支持系统验证了以上逼近公式的精确性和有效性,结果表明该方法具有一定的实用价值。

关键词: erfc(λ）及 ierfc(λ）逼近公式, 非稳定流, 混合模型, 渗漏, 地下水, 决策支持系统

Abstract: Tarim River is the longest continental river in China,and is essential to the oases in the watershed and of the ”Green Corridor” in its lower reaches.The research of groundwater transportation is more and more important to the ecological restoration.Based on the groundwater movement in different stages of filtration of water from the river,an one-dimensional unsteady groundwater flow model in the intermittent water infusing process is established and a new method of converting boundary conditions of the first kind and second kind eachother is introduced to solve the model.And finally applying the method to the analyses of groundwater movement in the riverside in the water infusing process at the lower parts of Tarim River.The results show the feasibility and reliability of this method.Basing on the conventional erfc(λ） and ierfc(λ） formula,a new method is introduced in this paper to determine groundwater transport parameters,which do not require integral and tableconsultation in the cause of calculation.By referring to them,a mixed model for non-stable groundwater flow was established.The author additionally developed the Decision Support System of water resources in Tarim River watershed by making use of the languages of Visual Basic and GIS.The accuracy and validity of the formula were tested through DSS at the end of this paper,suggesting certain practical value.

Key words: approximation formula of erfc(λ）and ierfc(λ）, non-stable flow, mixed model, leakage, groundwater, DSS

中图分类号: 

  • P641.74