Volume estimation method of typical crescent dune based on approximate two-dimensional function deconstruction.

This paper takes a typical crescent-shaped sand dune in the Taklamakan Desert, the largest desert in China, as the object of study. The mathematical model of the crescent-shaped dune is established by the integral method through two calculation methods of quadratic and catenary functions. We have deconstructed a two-dimensional top view of the crescent-shaped dune volume and proposed a formula for calculating the volume of the crescent-shaped dune. Methodological guidance is provided for the field measurement and estimation of the volumetric shape of crescent-shaped sand dunes. The purpose of this study is to estimate the volume of crescent dunes by using the basic survey tool and simple function integration method. This paper proposes two methods for estimating the volume of the same dune using elementary functions. After calculation, the dune volume to be studied is about 14,000m³, and the difference between the above two calculation methods is about 630m³. This method is different from the previous use of computer scanning to obtain the volume parameter information. Instead, it focuses on the reality that the field survey cannot use the large-calculate computer, and reduces the calculation steps and difficulties. It is an effective new method for field survey and estimation of crescent dune volume. It also provides a feasible algorithm for monitoring sediment transport in crescent dunes by real-time video. [ABSTRACT FROM AUTHOR]