A drainage basin scale model for earthflow-prone landscapes over geomorphic timescales
Abstract
Landscape evolution models can be informative tools for understanding how sediment transport processes, regulated by tectonic and climatic forcing, interact to control fundamental landscape characteristics such as relief, channel network organization, and hillslope form. Many studies have proposed simple mathematical geomorphic transport laws for modeling hillslope and fluvial processes, and these models are capable of generating synthetic landscapes similar to many of those observed in nature. However, deep-seated mass movements dominate the topographic development of many tectonically active landscapes, yet few compelling transport laws exist for accurately describing these processes at the drainage basin scale. Specifically, several detailed field and theoretical studies describe the mechanics of deep-seated earthflows, such as those found throughout the northern California coast ranges, but these studies are often restricted to a single earthflow site. Here, we generalize earthflow behavior to larger spatial and geomorphically significant temporal scales using a mathematical model to determine how interactions between earthflow, weathering, hillslope, and fluvial processes control sediment flux and topographic form. The model couples the evolution of the land surface with the evolution of a weathered zone driven by fluctuations in the groundwater table. The lower boundary of this weathered zone sets the potential failure plane for earthflows, which occur once the shear stress on this plane exceeds a threshold value. Earthflows deform downslope with a non-Newtonian viscous rheology while gullying, modeled with a stream power equation, and soil creep, modeled with a diffusion equation, continuously act on the land surface. To compare the intensities of these different processes, we define a characteristic timescale for each modeled process, and demonstrate how the ratios of these timescales control the steady-state topographic characteristics of the simulated landscapes. As changes in earthflow rheological properties or thickening of the weathered zone increase the intensity of earthflow processes, relief decreases, hillslopes become more planar, and fluvial incision is inhibited at low drainage areas. The model also predicts that earthflows make their most significant contribution to long term lowering of the land surface at mid- and upper-slope locations. Fluvial processes dominate at high drainage area hillslope toes, and soil creep dominates at highly convex ridgelines. We find the predictions of our model in agreement with the following general observations of earthflow prone terrain, drawn from analysis of a 1m resolution LiDAR digital elevation model of terrain adjacent to the main stem of the Eel River, northern California: (1) hillslope profiles tend to be slightly convex at the foot, broadly concave through the mid-slope, and highly convex at the ridgeline, (2) gully incision of earthflow transport zones and toes may be important in delivering sediment from hillslopes to high order streams, and (3) as with shallow landsliding, magnitude-frequency distributions of active earthflows tend to be heavy tailed.
- Publication:
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AGU Fall Meeting Abstracts
- Pub Date:
- December 2009
- Bibcode:
- 2009AGUFMEP43C0670B
- Keywords:
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- 1810 HYDROLOGY / Debris flow and landslides;
- 1826 HYDROLOGY / Geomorphology: hillslope