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Cross-Sectional Erosion Analysis Using Updated Surfaces and Lateral Diffusivity Methods

This study explores the erosion process through a detailed analysis of various lowering rates dependent on specific heights and positions. It employs a mathematical update function to refine initial surfaces and applies a partial differential equation (PDE) approach to simulate lateral diffusivity in soil. The key equation utilized is L(soil) = (Pc * Vc) / (Ps * As * T), with an emphasis on the diffusivity constant developed by Heismath (1997). Two examples are provided, demonstrating effective methods for calculating erosion dynamics in meters.

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Cross-Sectional Erosion Analysis Using Updated Surfaces and Lateral Diffusivity Methods

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  1. Cross-Sectional Erosion EPS 109 Aaron Yang

  2. Equations/Methods • Compared/related various lowering rates, dependant on heights/position • Updated initial surfaces with an update function • L(soil) = (Pc*Vc)/(Ps*As*T) • Used PDE in order to simulate lateral diffusivity • D*((z2(i+1)-2*z2(i)+z2(i-1))/((1)^2) • Diffusivity constant based on Heismath (1997)

  3. Example 1 Run with ErosionProject.m All units in meters

  4. Example 2 Faster exaggerated lateral diffusivity for soil

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