1. Gradual, Incremental Hillslope Transport:
Creep
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2. Schedule Conversion of Rock to Regolith on Hillslopes
Soil Transport by Creep on Hillslopes
Mass Balance derivation of hillslope profile using Kirkby relation
MATLAB numerical example
Creep process descriptions
Coupled Production and transport
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3. Convex Hillslopes
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4. 12/6/2018

5. Terms for discussion
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6. Lecture done largely on the board using notes from Anderson’s Little Book of Geomorphology.
he_little_book_010708_print.pdf
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7. Here are many of the equations from the discussion on the board
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8. Closure through Kirkby, 1971
Creep: assume m = 0, n = 1
(W is in negative z direction)
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9. Good questions from Claudio:
-we posit that flux should increase with distance, but the kirkby relation assumes that m = 0, effectively making the flux insensitive to distance and only slope, n and k. Is kirkby still the right way to close these equations?
-Next time…do I want to get into the new, non-linear flux equns?
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10. MATLAB Numerical Example
Kirkby relation for flux
Numerical solution
FTFS, FTCS methods
Available Variables
Initial Conditions
Boundary Conditions
Some outcomes
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11. Input Parameters
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12. Initial Conditions (profile)
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13. Boundary Condition 1: Constant exit slope. All material carried away.
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14. Boundary Condition 2: Lowering at constant rate. Like stream incision.
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15. Boundary Condition 3: No flux across last node
Boundary Condition 3: No flux across last node. All material accumulates.
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16. Initial Conditions: Can vary the initial geometry of the surface.
Initial Condition: Linear slope, flat base (moraine or ridgeline)
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17. Initial Conditions: Can vary the initial geometry of the surface.
Initial Condition: Fault Scarp with flat base
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18. Approach to Equilibrium: Can monitor progress toward balance
Y-axis is the ratio of dz/dt (erosion rate at ridgeline) to E (erosion rate at outlet)
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19. Given more time:
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