Soil improvement techniques have been developed experimentally and empirically from various geotechnical standpoints based on physical, chemical, and biological findings. The traditional microbiological perspectives consider microbially induced soil cementation as an environment-friendly soil improvement technique. In particular, microbially induced carbonate precipitation (MICP) is recognised as an effective method with applications in real geotechnical problems. Traditionally, highly active species with carbonate-precipitating and their optimum environmental conditions have been identified through laboratory experiments and field surveys. Recently, numerical simulations considering microbial metabolic reactions have been tried for elucidating MICP. However, the mathematical and numerical evaluation of the relationship between bacterial growth and MICP requires further investigation. This study proposed a novel numerical simulation scheme for evaluating the effects of bacterial growth on stress distribution in soil micro- and macro-structure. In particular, this scheme utilised a reaction–diffusion system to determine bacterial growth and MICP in micro-structures. Further, stress and strain distributions in multi-scale structures were evaluated by a homogenisation method. Consequently, the simulation results of the calcium carbonate precipitation were 0.85–4.5 μmol/mm³ at 10.3 h. Evidently, the model values are reasonably consistent with the experimental data. Further, the homogenisation simulations indicated that soil stabilisation could be attributed to the formation of a novel skeleton structure comprising soil particles and calcium carbonate-filled soil pores.

土壤改良技术已经基于各种物理，化学和生物学的发现，从各种岩土工程的角度通过实验和经验方法得到了发展。传统的微生物学观点认为，微生物诱导的土壤胶结是一种环境友好的土壤改良技术。特别是，微生物诱导的碳酸盐沉淀（MICP）被认为是一种有效的方法，可应用于实际的岩土工程问题中。传统上，已经通过实验室实验和现场调查确定了具有碳酸盐沉淀的高活性物种及其最佳环境条件。最近，已经尝试了考虑微生物代谢反应的数值模拟来阐明MICP。然而，关于细菌生长与MICP之间关系的数学和数值评估需要进一步研究。这项研究提出了一种新的数值模拟方案，用于评估细菌生长对土壤微观和宏观结构中应力分布的影响。特别是，该方案利用反应扩散系统确定细菌在微结构中的生长和MICP。此外，通过均质化方法评估了多尺度结构中的应力和应变分布。因此，碳酸钙沉淀的模拟结果为0.85–4.5μmol/ mm 该方案利用反应扩散系统确定细菌在微结构中的生长和MICP。此外，通过均质化方法评估了多尺度结构中的应力和应变分布。因此，碳酸钙沉淀的模拟结果为0.85–4.5μmol/ mm 该方案利用反应扩散系统确定细菌在微结构中的生长和MICP。此外，通过均质化方法评估了多尺度结构中的应力和应变分布。因此，碳酸钙沉淀的模拟结果为0.85–4.5μmol/ mm³在10.3小时。显然，模型值与实验数据合理地一致。此外，均质化模拟表明土壤稳定可以归因于新型骨架结构的形成，该骨架结构包括土壤颗粒和碳酸钙填充的土壤孔隙。