A Mathematical Model of Soil Erosion and Deposition Processes: I. Theory for a Plane Land Element

摘要: The paper describes a new mathematical model of soil erosion and deposition on plane land element. makes use an approximate analytic theory runoff assuming kinematic flow. Rates the following simultaneously occurring erosion/deposition processes are represented mathematically: rainfall detachment, sediment deposition, entrainment by overland concept stream power is used in representing process. form analysis reduces first- order partial differential equation expressing conservation mass to ordinary equation, which can thus be solved analytically. This solution gives concentration at any time as function distance down terms four defined factors, slope land, two separate cover rates. product water flux position plane.