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Diffusion models of slope development
Author(s) -
Trofimov A. M.,
Moskovkin V. M.
Publication year - 1984
Publication title -
earth surface processes and landforms
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.294
H-Index - 127
eISSN - 1096-9837
pISSN - 0197-9337
DOI - 10.1002/esp.3290090505
Subject(s) - geology , diffusion , quadratic equation , development (topology) , slope stability , base (topology) , geotechnical engineering , geometry , mathematics , mathematical analysis , thermodynamics , physics
This paper represents a systematic investigation of slope evolution diffusion models and has the following sections: (1) The model of slope development with linear coefficient k = k 0 x ; (2) The model of slope development with quadratic coefficient in x ; (3) Slope development model with vertical lowering of base level (downcutting); (4) Slope development model with the base level a horizontal variable (undercutting); (5) Steady‐state regime of undercut slopes; (6) Model of a pediment and scree slope formation. The comparison is made between mathematical and classical methods of slope evolution analysis.