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Rothman, Daniel H.

Publications and source records attributed to Rothman, Daniel H..

9 records
All sourcesNASA NTRSDOE OSTI
DOE OSTI2021

Physics of Channelization: Theory and Observation (Final Report)

This project investigated how the growth of erosive channels and resulting drainage networks can be influenced by the seepage of water out of the subsurface. The most significant results showed how channelization by seepage results in characteristic geometric signatures at the scale of the drainage network. These results were verified by comparing theoretical predictions to observations at a field site on the Florida Panhandle. The project's analyses of drainage networks throughout the contiguous United States suggested that seepage plays a significant role in shaping drainage systems in humid climates. Additional results concerned the shape of valley heads and the longitudinal profile of streams. Theoretical work suggested that the direction and rate of growth of streams can be predicted from symmetry arguments.

54 ENVIRONMENTAL SCIENCES↗
DOE OSTI2017

Climate's watermark in the geometry of stream networks

Branching stream networks are a ubiquitous feature of the Earth's surface, but the processes that shape them, and their dependence on the climate in which they grow, remain poorly understood. Research has mainly focused on climatic controls of channel incision rates, while the climatic influence on planform geometry has often been overlooked. In this work, we analyze nearly one million digitally mapped river junctions throughout the contiguous United States and show that branching angles vary systematically with climatic aridity. In arid landscapes, which are thought to be dominated by surface runoff erosion, junction angles average roughly 45° in the driest places. Branching angles are systematically wider in humid regions, averaging roughly 72°, which is the theoretically predicted angle for network growth in a diffusive field such as groundwater seepage. The correlation of mean junction angle with aridity is stronger than with topographic gradient, downstream concavity, or other geometric factors that have been proposed as controls of junction angles. Thus, it may be possible to identify channelization processes from stream network geometry in relict landscapes, such as those on Mars.

54 ENVIRONMENTAL SCIENCES↗
DOE OSTI2015

Path selection in the growth of rivers

Significance The complex patterns of river networks evolve from interactions between growing streams. Here we show that the principle of local symmetry, a concept originating in fracture mechanics, explains the path followed by growing streams fed by groundwater. Although path selection does not by itself imply a rate of growth, we additionally show how local symmetry may be used to infer how rates of growth scale with water flux. Our methods are applicable to other problems of unstable pattern formation, such as the growth of hierarchical crack patterns and geologic fault networks, where dynamics remain poorly understood.

54 ENVIRONMENTAL SCIENCES↗
NASA NTRS2001

Valley Network Morphology and Topographic Gradients on Mars

Data returned from the Mars Orbiter Laser Altimeter allows construction of a high precision digital elevation model. Quantitative investigations into the geomorphic properties of drainage features, similar to ones carried out on Earth, are now possible Additional information is contained in the original extended abstract.

Aharonson, Oded↗