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Diffusion

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Towards A Prediction Of Landscape Evolution From Chemical Weathering And Soil Production, Eric Alan Jackson Jan 2017

Towards A Prediction Of Landscape Evolution From Chemical Weathering And Soil Production, Eric Alan Jackson

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The time evolution of a periodic landscape under the influence of chemical weathering and physical erosion is computed. The model used incorporates weathering and soil production as a flux limited reaction controlled by groundwater flow. Scaling of the flow rate is obtained from a percolation theoretic treatment. The erosion of the soil material produced by this process is modeled by the diffusion of elevation, as consistent with downslope soil transport proportional to the tangent of the angle of the topography, and application of the equation of continuity to surface soil transport. Three initial topographies are examined over a periods of …