Matt
Hoek
Advisor: Dr. Brian Watson
SLU Festival of Science 2001 Poster Presentation
Scaling Analysis of Mid-Ocean Ridge Lava Flows
During the Spring of 1999, a team of scientists
from the Lamont-Doherty Earth Observatory conducted a research cruise along
the East Pacific Rise (17 28’ S latitude). The scientists on the
cruise were assisted by the underwater robot ABE, which stands for Autonomous
Benthic Explorer. ABE gathered a high-resolution data set as it tracked
along the sea floor of the Rise, accurately mapping the topography of the
bottom to within 10 centimeters.In addition to gathering navigation, latitude,
longitude, heading, depth, and altitude data, ABE also took pictures of
the lava flows on the sea floor with a camera mounted on its flotation
device.
The goal of this analysis
was to determine the multifractal and scaling properties of the lava’s
visual reflectance field and to compare them to those of a similar study
(Laferrière and Gaonac’h, 1999) conducted on reflectance
fields of volcanoes at Mt. Etna and Mauna Loa. While these two volcanoes
are traditional cone volcanoes, the source of lava at the East Pacific
Rise is a three kilometer fissure in the ocean floor. There are several
differences between the volcanoes at Mt. Etna and Mauna Loa and the mid-ocean
ridge of the East Pacific Rise. Because the ridge is about 2700 meters
below sea level, the lava that floods out of the fissure is under extremely
high pressure. The lava is also quickly cooled by the surrounding
seawater, which is at a temperature of 2°C. Because the
lava in our photos is produced by different flow mechanisms than the lava
of Mt. Etna and Mauna Loa, we were interested to see how our results would
compare to those of the 1999 study.
We first examined the scaling properties
of several types of lava flows by performing Fast Fourier Transforms (FFT)
on the digital images. Our results were similar to the small-scale
results from the study of Laferrière. Preliminary results
showed some interesting differences in the spectrum based on flow type.
For example, the talus morphology spectrum has an anomalous structure that
we tentatively identify with the two-stage formation process of talus.
We also conducted a multifractal analysis of the images. For each
lava type, we hoped to find typical values of the universal multifractal
parameters a
and C1, where a
measures the degree of multifractality and C1 measures the sparseness
of the field. The results of the multifractal analysis will be presented
at the festival.