The widespread red-bed soft rock, characterized by its poor engineering properties as road building materials, plus the frequent large intensity earthquakes necessitates growing attention on the seismic design of cut slope in the west region of Yunnan province, China. To calculate the critical heights of the slope under seismic loading, a slope model is established and its dynamic response under seismic loading is analyzed by using Fast Lagrangian Analysis of Continua (FLAC3D)based on three-dimensional finite difference method .The reliability of the model is verified by comparing the analytical results with other relevant research results. The stability factors at different slope heights and ratios are gained; accordingly, back calculate the critical heights of the slope at different slope ratios under either the gravity loading only or combined with seismic loading, when the stability factor is equal or greater than 1.1. The above analysis helps provide seismic design guidance for the cut slopes of red soft rock in Yunnan province.

A roads ecological environmental quality index data for years is a time-series, and accurate prediction by exploring the changing rule of the time series is significant for future environmental protection. For this end, based on time series analysis, this paper firstly carries out steady analysis and random test pretreatment for the eco-environment quality index (EQI) data collected. Next, an ARMA model is established by pattern recognition, established bands and parameter estimation, and then verified by the data collected in recent years. Finally, the ARMA model is used to predict the future EQI values. This research will provide effective guidance to the eco-environmental protection along the road.