We propose an upscaled methodology for evaluating the compressive parameters of the Lattice Discrete Particle Model (LDPM) for a multiscale analysis of concrete structures. This methodology is based on mechanical and chemical models on a wide range of concrete scales. We show that the compressive mechanical parameters are related mainly to material compaction that occurs at the scale of cement paste, the scale containing porosity properties. Therefore, these compressive LDPM parameters are subsequently evaluated based on chemical and mechanical simulations at the cement paste level. Finally, the suggested methodology was verified and validated.