Bacterial microorganisms play a crucial role in human production and daily life. Quantitatively predicting the mechanical behavior of microbial biochemical reactions is essential for developing new biotechnologies. During the microbial life cycle, the growth and detachment of bio-porous materials are key physical processes governing microbial systems. Constructing mathematical and mechanical models to describe these processes is critical for advancing biotechnological developments, particularly in promoting microbial-induced calcium carbonate precipitation (MICP). MICP is an innovative, environmentally friendly self-healing geotechnical technique, representing the forefront of "green" engineering solutions.

Modeling the microbial life cycle requires accounting for reactive mass transport and fluid-structure interactions. The challenge lies not only in developing validated mathematical models for these complex processes but also in numerically solving the resulting coupled models, which demands high-precision computational methods. In this study, we present several recently developed bacterial models and their corresponding numerical simulation approaches. The focus is on advanced numerical methods, including the space-time finite element method (STFE), smoothed particle hydrodynamics (SPH), and the lattice Boltzmann method (LBM). Additionally, we demonstrate an engineering application case of pore-scale modeling for MICP technology.