Title: A clarification and extension of our model of regolith formation on hillslopes: A clarification of our model of regolith formation on hillslopes

Journal Article · · Earth Surface Processes and Landforms
DOI: https://doi.org/10.1002/esp.4426 · OSTI ID:1606500

In this paper we clarify that our weathering model from 2013 did not explicitly describe weathering of soil moving downhill along hillslopes. Additionally, we re-analyze the role of the term that we neglected that describes loss of regolith mass through mineral dissolution. We derive an equation for this term by including lateral flow of water inside the model hill. For the revised hill model, we define a dimensionless parameter that allows estimation of the effect of lateral flow on the steady-state hillslope. This parameter is equal to the ratio of averaged advective flux of dissolved species out of the hill to the rate of total denudation. The parameter also yields a criterion for the existence of a steady state regolith thickness for systems experiencing unidirectional advection at a constant velocity: for a ridge, the rate of downward flow of water (qy) must be less than the rate of upward movement of rock (E) after normalization by a small parameter, α. This parameter is equal to the equilibrium aqueous concentration divided by the concentration of the reacting mineral in the rock. Alternately, a steady state may exist for the case of both vertical and lateral flow in a hill for any value of erosion rate if the Darcy velocities decrease with depth. Subsurface flow systems play an essential role in the existence of both steady-state hillslopes and steady-state regolith thicknesses.

Research Organization:
Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Chemical Sciences, Geosciences & Biosciences Division
Grant/Contract Number:
FG02-05ER15675
OSTI ID:
1606500
Journal Information:
Earth Surface Processes and Landforms, Journal Name: Earth Surface Processes and Landforms Journal Issue: 13 Vol. 43; ISSN 0197-9337
Publisher:
WileyCopyright Statement
Country of Publication:
United States
Language:
English

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Cited By (1)

Exploring an ‘ideal hill': how lithology and transport mechanisms affect the possibility of a steady state during weathering and erosion journal March 2020