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割离井法渗流模型的数值解
引用本文:刘元会,常安定,邓秋霞. 割离井法渗流模型的数值解[J]. 西安科技大学学报, 2006, 26(1): 70-73
作者姓名:刘元会  常安定  邓秋霞
作者单位:长安大学,陕西,西安,710064
基金项目:长安大学校科研和校改项目
摘    要:割离井法渗流模型的解析解已经求得,其解析解虽然比较精确,但是解析解表达式过于复杂、计算难度很大,不便于在实际中应用,因而影响了割离井渗流模型的应用和割离井法的推广。笔者以无上、下补给、井内定水位、均质含水层中的割离井渗流模型为例,详细给出了求解割离井渗流模型数值解有限差分格式的建立,用追赶法对其进行求解,并把求得的数值解与解析解比较,进行了误差分析。

关 键 词:割离井渗流模型  有限差分法  追赶法  数值解
文章编号:1672-9315(2006)01-0070-04
修稿时间:2005-03-01

The numerical solution of the seepage model for "Divide-well"
LIU Yuan-hui,CHANG An-ding,DENG Qiu-xia. The numerical solution of the seepage model for "Divide-well"[J]. JOurnal of XI’an University of Science and Technology, 2006, 26(1): 70-73
Authors:LIU Yuan-hui  CHANG An-ding  DENG Qiu-xia
Abstract:To find an effective method,to compute the numerical solution of a series of mathematical seepage models for the Divide-well,implicit difference equations for one seepage model for the Divide-well are constructed using the finite difference method.And difference equations are solved using the pursuit method.Through the program with the Matlab language,the numerical solution of the seepage model for the aquifer of symmetrical medium are computed,without upper and lower supply,and with a fixed water level in well.The comparison between the numerical solution and the analytical solution.Absolute errors are analyzed.
Keywords:seepage models of Divide-well  finite difference method  pursuit method  numerical solution  
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