The anchor is commonly applied to enhance the seismic stability of a slope. Presently, the seismic permanent displacement of slope is widely estimated with a constant yield acceleration based on Newmark sliding block method, which is not a realistic scenario. Besides, the soil slope is mostly inhomogeneous and anisotropic, where a circular slip surface is not quite suitable for slope stability analysis. To overcome the shortcomings of estimation method of earthquake-induced displacement, a point-to-point strategy is applied to generate the instant discrete failure mechanism of inhomogeneous and anisotropic anchored slope to determine the time-dependent yield acceleration by limit analysis. The recursive formulas of slope and anchor parameters versus seismic displacement at tiny time interval are established to predict the dynamic behavior of slope. The seismic displacement at tiny time interval is estimated by Newmark sliding block method, and the total earthquakeinduced displacement is subsequently determined. The anchor axial force increases significantly during seismic excitation, which causes a time-dependent characteristic of yield acceleration. Moreover, the effect of inhomogeneity and anisotropy is investigated. The slope becomes more vulnerable to earthquake while the inhomogeneity of unit weight is considered. An increment in inhomogeneous factor or a decrement in anisotropic factor of friction angle or cohesion causes the stability of anchored slope to increase.

There is an increasing demand for innovative low-carbon alternatives to effectively improve soil properties to promote sustainability and achieve carbon neutrality. However, both the bio-carbonation of reactive magnesia cement (RMC) and enzymatically induced carbonate precipitation (EICP) had limitations, including inadequate strength and solidification inhomogeneity despite demonstrated effective for sand solidification. Therefore, the combination bio-carbonation of RMC and EICP was proposed to address their respective drawbacks. In addition to the combined treatment, other treatment methods (e.g., pure RMC hydration, bio-carbonation, and EICP) were also utilized to compare treatment effects under different treatment conditions (e.g., varying RMC contents, urea concentrations, and treatment cycles). Results showed that the combined treatment could effectively address the issue of insufficient precipitation resulting from low RMC concentrations or excessive CO2 levels, thereby both reducing the permeability of treated sand and enhancing its strength to improve the overall treatment efficacy. With one treatment cycle, the combined treated sample with 20 % RMC and 3 M urea concentration exhibited a higher strength, while the sample with 15 % RMC had better solidification effects after two treatment cycles. Compared to the bio-carbonation treatment, the combined treatment resulted in higher proportions of artinite, while obtaining lower proportions of nesquehonite, demonstrating an influence of calcium addition on the mineralogy of magnesium precipitates. The combined treatment can achieve both strength enhancement and homogenization of solidification as a low-carbon and highly efficient solidification method, showcasing significant application potential in geotechnical engineering and material engineering fields.