Scale and time effects on mathematical models for transport in the environment

Su, Ninghu (2007) Scale and time effects on mathematical models for transport in the environment. Applied Mathematics: a journal of Chinese universities, 22 (3). pp. 267-276.

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DOI: 10.1007/s11766-007-0303-5

Abstract

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.


Item ID:	1763
Item Type:	Article (Research - C1)
ISSN:	1993-0445
Keywords:	Generalised Fokker-Planck equation, GFP, Generalised Feller equation, GF, scale and time effects, transport, mathematical models
Additional Information:	Also available online from the publisher's website
Date Deposited:	17 Oct 2007
FoR Codes:	01 MATHEMATICAL SCIENCES > 0199 Other Mathematical Sciences > 019999 Mathematical Sciences not elsewhere classified @ 70% 05 ENVIRONMENTAL SCIENCES > 0599 Other Environmental Sciences > 059999 Environmental Sciences not elsewhere classified @ 30%
SEO Codes:	96 ENVIRONMENT > 9699 Other Environment > 969999 Environment not elsewhere classified @ 70% 96 ENVIRONMENT > 9606 Environmental and Natural Resource Evaluation > 960699 Environmental and Natural Resource Evaluation not elsewhere classified @ 30%
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