Mathematical model of slope evolution due to viscous-plastic movement of debris mantle

Abstract

Some results are given of mathematical modeling of slope processes. A model is developed which describes slope profile evolution through time, taking into consideration rock weathering and viscous-plastic movement, the latter depending on the loose mantle thickness. Slope evolution has been calculated (using computer) for different states of the base level and rates of weathering, ground viscousity being continuous of changing along the slope profile. The results of modeling show that under condition of constant base level the slope evolution may be either down-wearing or parallel retreat together with summit lowering, which depends on rock weathering features and loose mantle humidity.