SCALE AND TIME EFFECTS ON MATHEMATICAL MODELS FOR TRANSPORT IN THE ENVIRONMENT--《Applied Mathematics:A Journal of Chinese Universities(Series B)》2007年03期

《Applied Mathematics:A Journal of Chinese Universities(Series B)》2007年03期

SCALE AND TIME EFFECTS ON MATHEMATICAL MODELS FOR TRANSPORT IN THE ENVIRONMENT

　　<正>The purpose of this paper is to analyse mathematical models used in environmental modelling.Following a brief survey of the development in modelling scale-and time-dependent dispersion processes in the environment,this paper compares three similarity solutions,one of which is a solution of the generalized Feller equation(GF)with fractal parameters,and the other two for the newly-developed generalized Fokker-Planck equation(GFP).The three solutions are derived with parameters having physical significance.Data from field experiments are used to verify the solutions.The analyses indicate that the solutions of both GF and GFP represent the physically meaningful natural processes,and simulate the realistic shapes of tracer breakthrough curves.
【基金】：Supported by the NNSF of China(30570426);Fok Ying Tung Education Foundation(101004);the Youth Foundation of Educational Department of Hunan Province in China(05B007).
【分类号】：O242.1
【DOI】：CNKI:SUN:GXYY.0.2007-03-005
【正文快照】：
　　91 Introduetion In this Paper we diseuss the issue of seale and time effeets eneountered in material transPort Proeesses in the environment.These two effeets eome into Play when mathematieal models are used tosimulateP场sieal proeesses of material movemen…

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SCALE AND TIME EFFECTS ON MATHEMATICAL MODELS FOR TRANSPORT IN THE ENVIRONMENT

Su Ninghu School of Mathematics and Computational Science;Xiangtan University;Hunan 411105;China; School of Earth and Environmental Sciences;James Cook University;Cairns;Queensland 4870;Australia; Department of Natural Resources and Water;Mareeba;Queensland 4880;Australia.

　The purpose of this paper is to analyse mathematical models used in environmental modelling.Following a brief survey of the development in modelling scale-and time-dependent dispersion processes in the environment,this paper compares three similarity solutions,one of which is a solution of the generalized Feller equation(GF)with fractal parameters,and the other two for the newly-developed generalized Fokker-Planck equation(GFP).The three solutions are derived with parameters having physical significance.Data from field experiments are used to verify the solutions.The analyses indicate that the solutions of both GF and GFP represent the physically meaningful natural processes,and simulate the realistic shapes of tracer breakthrough curves.
【Keyword】：mathematical model;environmental modelling;generalized Feller equation;generalized FokkerFlanck equation.

	【参考文献】		共（49）篇
	【参考文献】		共（49）篇

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