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Department of Earth and Environmental Science
Douglas J Jerolmack
Research Interests - Thresholds, nonlinear dynamics and prediction in sediment transportResearch
in this area focuses on threshold processes in a variety of sediment
transport systems, including (from left to right in the figure): piles
of rice, river bottoms, river deltas and mountain ranges.
The presence of a threshold allows for slow storage and rapid release
of sediment, leading to complex dynamics that have important
implications for prediction, pattern formation and interpretation of
the sedimentary record. This research involves laboratory experiments
and mathematical modeling.
Large-scale fluctuations in sediment transporting systems
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Time
series of transport rate in a diverse range of sedimentary systems
exhibit fluctuations, which generally have (1) correlations across a
wide range of temporal scales, and (2) a well-defined upper limit that
we call the decorrelation time. A pile of rice is a canonical example:
grains added slowly to the pile will accumulate until the slope exceeds
some critical value, at which point the grains topple and initiate an
avalanche. These avalanches are not periodic – rather, they occur
intermittently across a wide range of time scales, and range in size
from one grain to the size of the container. (If you've never played
around with a pile of rice, you really have to try it!). This
“avalanching” phenomenon appears to be generic in geophysical systems
having many degrees of freedom (e.g., earthquakes, forest fires,
landslides), and simplified models have been used to demonstrate that
avalanching results from the dominance of a threshold process. Large-scale
variability in sediment transport rate under steady conditions has also
been observed in “real world” sediment-transporting systems such as bed
forms, braided rivers, mountain catchments and river deltas. The figure
shows time series of transport rate under steady conditions for a pile
of rice, a mathematical model of a river delta, and bed load transport
in a river. Recently, such fluctuations have been attributed to
nonlinear threshold dynamics. On the Earth’s surface these complex
systems also respond to time-varying environmental forcing that may be
natural (e.g., precipitation, sea-level cycles, plate motions) or
anthropogenic. We are currently using numerical and physical
models to examine the response of sediment transport systems with
thresholds to periodic variations in sediment (or water) supply.
Results show that sediment transport acts as a nonlinear filter that
destroys environmental signals over certain frequency ranges. This
nonlinear behavior has important implications for interpreting climate
from the stratigraphic record and predicting landscape response to
climate change.
Collaborators: Chris Paola (U. Minnesota), Liam Reinhardt (Exeter U., UK), Wonsuck Kim (U. Illinois), Pete Sadler (UC Riverside.
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Department of Earth and Environmental Science
University of Pennsylvania, 254-b Hayden Hall, 240 South 33rd Street
Philadelphia, PA 19104-6316
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