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Record Details

Record 18 of 1485
Fractal Variation with Changing Line Length: A Potential Problem for Planetary Lava Flow Identification
Offline Availability: Go to Request Form
Author and Affiliation:
Hudson, Richard K.(Black Hills State Univ., Spearfish, SD, United States)
Anderson, Steven W.(Black Hills State Univ., Spearfish, SD, United States)
McColley, Shawn(Brown Univ., Dept. of Planetary Geosciences, Providence, RI, United States)
Fink, Jonathan H.(Arizona State Univ., Dept. of Geological Sciences, Tempe, AZ, United States)
Abstract: Fractals are objects that are generally self similar at all scales. Coastlines, mountains, river systems, planetary orbits and some mathematical objects are all examples of fractals. Bruno et al. used the structured walk model of Richardson to establish that lava flows are fractals and that lava flow morphology could be determined by looking at the fractal dimension of flow margins. They determined that Hawaiian a.a flows have fractal dimensions that range from 1.05 to 1.09 and that the pahoehoe lava flows have a fractal dimension from 1.13 to 1.23. We have analyzed a number of natural and simulated lava flow margins and find that the fractal dimension varies according to the number and length of rod lengths used in the structured walk method. The potential variation we find in our analyses is sufficiently large so that unambiguous determination of lava flow morphology is problematic for some flows. We suggest that the structured walk method can provide meaningful fractal dimensions if rod lengths employed in the analysis provide a best-fit residual of greater than 0.98, as opposed to the 0.95 cutoff used in previous studies. We also find that the use of more than 4 rod lengths per analysis also reduces ambiguity in the results.
Publication Date: Jan 01, 2004
Document ID:
20040056087
(Acquired May 07, 2004)
Subject Category: LUNAR AND PLANETARY SCIENCE AND EXPLORATION
Document Type: Conference Paper
Publication Information: Lunar and Planetary Science XXXV: Mars Volcanology and Tectonics; (LPI-Contrib-1197); (SEE 20040056070)
Contract/Grant/Task Num: NAG5-11655
Financial Sponsor: NASA Goddard Space Flight Center; Greenbelt, MD, United States
Black Hills State Univ.; Spearfish, SD, United States
Organization Source: Black Hills State Univ.; Spearfish, SD, United States
Description: 2p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: Copyright; Distribution under U.S. Government purpose rights
NASA Terms: FLUID FLOW; LAVA; PLANETARY GEOLOGY; FRACTALS; GEOMORPHOLOGY; DIMENSIONAL ANALYSIS; HAWAII; RIVERS; SIMULATION; POLYETHYLENES; GLYCOLS
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