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PROCCEDINGS OF THE 2006 ESRI INTERNATIONAL USER CONFERENCE
San Diego, California
August 7-11, 2006 Copyright © 2006 ESRI
Fractal Generation of Artificial Sewer Networks
for Hydrologic Simulations
Indrani Ghosh
1
, Ferdi L. Hellweger
2*
and Todd G. Fritch
3
Abstract
Simulating urban hydrology using actual sewer networks can be tedious and even practically impossible
for large and/or old areas, especially when considering high spatial resolution requirements of physically-
based models. Therefore, the rapid generation of artificial networks is of considerable interest, especially
for city-scale analyses. Fractals are scale-independent, self-similar geometric shapes, and fractal trees are
fractals consisting of a network of connecting lines. This paper presents a new public-domain application
for generating artificial sewer networks using the dendritic and space-filling ‘Tokunaga’ fractal tree
geometry (Artificial Network Generator, ANGel). Options include varying the number of generations,
clipping to a drainage basin, irregularization, and expansion (densification) of an existing network.
Output consists of line, point and area shapefiles with various attributes (e.g. flow length) and a statistics
(e.g. Horton’s bifurcation ratio) file. An application of the program to the Faneuil Brook sub-basin in
Boston is presented. Artificial sewer networks generated using the program are compared to the actual
network in terms of various hydrologic statistics and travel time distributions.
1. Introduction
The urban landscape is a complex environmental system that reflects the dynamic and intense alteration
of natural environmental processes by human activity. Urbanization radically changes flow paths and the
quantity and quality of waters that flow through the drainage network and into receiving water bodies
such as wetlands, rivers, lakes and estuaries. While urban hydrology (considered here as water and
associated biogeochemical cycles in the urban environment) can be a highly dynamic and intermittent
process, the cumulative effects of its impacts on receiving waters are very significant. It is important to
better understand the role of short-term (e.g., spatially distributed intermittent rainfall acting on movable
material collected in the atmosphere or on the surface since the last storm), and long-term (e.g., the
geometry and density of the storm sewer network, or the specific arrangement of land uses and storage
elements) dynamic processes of the urban hydrologic system. Urbanization is a dominant global
phenomenon and there is an urgent need to advance the science of urban hydrology.
1
PhD Student, Civil & Environmental Engineering Department, 400 Snell Engineering Center, Northeastern University, Boston,
MA 02115.
2
Assistant Professor, Civil & Environmental Engineering Department, 400 Snell Engineering Center, Northeastern
University, Boston, MA 02115.
3
Academic Specialist, Director Geographic Information Systems, Department of Earth and
Environmental Sciences, 70 Holmes Hall, Northeastern University, Boston, MA 02115. *Corresponding author. Tel.: (617) 373-
3992; fax: (617) 373-4419. E-mail address: ferdi@coe.neu.edu