Mathematical modeling of the amplitude of saturated soil densities on field deformation

Abstract

Landslide-induced surge waves pose significant threats to infrastructure, ecosystems, and human life in mountainous regions characterized by heavy rainfall and terrain instability. This study aims to develop a mathematical model using soil with different densities to generate varying-amplitude waves that describe the dynamics of landslide wave propagation, providing an adequate basis for mitigating the risk of landslides. The objective of this study is to develop a mathematical model to describe the dynamics of a landslide wave propagation. Experimental data are computed using the Runge-Kutta method built into MATLAB to simulate the model's current and future dynamics. The mathematical model is used to simulate and analyze landslide wave propagation phenomena in affected areas. Experimentation results showed that different soil densities generated a maximum amplitude of 0.86m at an incline angle of 500 with other decline angles like 33.20, and 24.20 that gradually decayed to 0. 45m at the far field with a slope of 19.20. These results showed precise prediction of amplitude waves at different zones on the landscape, thereby providing a reliable framework for understanding landslide surge mechanics, recommending its use in early warning systems, infrastructure planning, and necessitating the implementation of control strategies along the same region.