A Proposal For The Application Of Fractal
Geometry In Describing The Geometrical
Structures Of Water Supply Networks
Author(s)
D. Kowalski, B. Kowalska & P. Suchorab
Abstract
The paper presents the problem of describing a water supply network as a
complex geometrical structure. The authors suggest that many problems
connected with the design and various aspects of exploitation of water supply
networks may result from the lack of a universal language of their description.
As a solution, the authors propose using the theory of fractal geometry. In the
authors’ opinion, it allows us to unify the description of branched as well as
looped water networks, including their size and complexity degree. The practical
application of that theory requires us to verify whether the geometrical structures
of water supply networks meet the formal conditions of fractal sets. Such
estimation has been done on the basis of three model networks with various
geometrical structures. The considerations and analysis presented in the paper
seem to give the affirmative answer to the question raised in the study. As a
result of the work done the authors have elaborated the iterative formula which
allows the description of the flat geometrical structures of branched and looped
water networks. The formula is based on tree-like structures and several
assumptions of their application.
Keywords: water supply, network, geometrical structures, description.
Keywords
water supply, network, geometrical structures, description.
Related Book
Other papers in this volume
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