A riverbank failure model: A case study for the segment of Tien River flowing through Sadec, Vietnam

Abstract

Riverbank erosion is a common occurrence in rivers worldwide, leading to significant impacts on shoreline protection and the lives of people residing in affected areas. Scientists, experts, and engineers have devoted considerable attention to study this phenomenon to better understand and predict the damage caused by riverbank failures. In the paper, we propose a mathematical model that combines bottom erosion and riverbank failure mechanisms. The model incorporates high-performance GPUs (Graphics Processing Units) to enhance its computational efficiency and capability. It utilizes a set of equations, such as the Reynolds equations, sediment transport equations, and bed load continuity equation, to simulate the dynamics of flow, sediment transport, and changes in the riverbed. Additionally, the model incorporates the calculation of riverbank failure using the rotational failure mechanism and determines the factor of safety (FS) to assess the stability of riverbanks and the bank failure (BW). If the FS value is less than 1, it indicates that the bank is prone to failure, and such instances are recorded. To evaluate the model's reliability, a case study is conducted on a specific segment of the Tien River in Sa Dec City, Dong Thap Province. This model serves as a crucial tool for socioeconomic planning and implementing effective measures to prevent and mitigate the impacts of riverbank failure in the local area.