COLIN PETER STARK2023-09-232023-09-231994-01-0101480227https://scholars.lib.ntu.edu.tw/handle/123456789/635702The pattern of erosion of a plateau along an escarpment may be modeled using cluster growth techniques, recently popularized in models of drainage network evolution. If erosion on the scarp takes place in discrete events at rates subject to local substrate strength, the whole range of behavior is described by a combination of three cluster growth mechanisms: invasion percolation, Eden growth and diffusion-limited aggregation (DLA). These model the relative importance of preexisting substrate strength, background weathering, and seepage weathering and erosion respectively. The rate of seepage processes is determined by the efflux of groundwater at the plateau margin, which in turn is determined by the pressure field in the plateau aquifer. This study presents a model which combines all three growth mechanisms for the first time. Mixed growth processes create clusters with different scaling properties and morphologies over distinct length scale ranges, and this is demonstrable in natural examples of plateau erosion. -from Authorjournal article10.1029/94jb006102-s2.0-0028569445https://api.elsevier.com/content/abstract/scopus_id/0028569445