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一类非稳定井流模型的准解析解
引用本文:常安定,李佩成. 一类非稳定井流模型的准解析解[J]. 西安理工大学学报, 2003, 19(1): 35-40
作者姓名:常安定  李佩成
作者单位:长安大学,理学院,陕西,西安,710062
摘    要:
分析一类非稳定井流模型的解析公式中函数的正交性,假定水位传导系数在小时段内为常数并通过模型的叠加运算,利用已有的解析公式及贝塞尔函数的性质,从理论上得到了水位传导系数随时间变化时该井流问题的解析公式。利用此公式进行渗流计算,可以减少由于简化模型而引起的系统误差。

关 键 词:非稳定井流模型 水位传导系数随时间变化 准解析解
文章编号:1006-4710(2003)01-0035-06
修稿时间:2002-04-27

The Guasi-Analytic Solution to a Type of Unsteady Well Flow Model
CHANG An ding,LI Pei cheng. The Guasi-Analytic Solution to a Type of Unsteady Well Flow Model[J]. Journal of Xi'an University of Technology, 2003, 19(1): 35-40
Authors:CHANG An ding  LI Pei cheng
Abstract:
The orthogonality of the functions in the analytic formulas of unsteady well flow model is analyzed. Supposing that the groundwater level conductivity is a constant within a very little time,via cumulating caculation on the mathematic models and using the properties of Bessel's function,the analytic formulas are obtained that the groundwater level conductivity is changing with the time in theory. These formulas will be used to conduct seepage flow calculation so as to reduce the system errors caused by the model simplification.
Keywords:the mathematic model of an unsteady well flow  ground water level conductivity changing with the time  guasi analytic solution  
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