Discharge rates in Ma'adim Vallis, Mars

Mathematics – Logic

Scientific paper

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Channel Flow, Elevation, Geological Surveys, Mars Surface, Photogrammetry, Planetary Geology, Water Depth, Floods, Pixels, Slopes, Viking Orbiter Spacecraft

Scientific paper

A digital elevation model (DEM) of a small part of the Martian channel Ma'adim Vallis was produced using the Frankot and Chellappa shape-from-shading algorithm. Software developed by the Dept. of Photogrammetry and Surveying at University College London uses this technique to extract slope information from the grey levels of image pixels. This technique was applied to a Viking Orbiter image of part of Ma'adim Vallis, and measurements of the channel depth and bed-slope of a channel incised into the floor of Ma'adim Vallis were made. These results were used to calculate order of magnitude estimates for discharge rates through the channel. The maximum values calculated are three orders of magnitude less than those for N. Kasei Vallis and are similar to values cited for the Missoula floods. However, when more realistic values of the water depth are used, discharge rates comparable with those for the Mississippi River result.

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