The ATLAS MPhM is a collection of digital formation models of oil and gas-saturated reservoirs. It is intended for most realistic modeling that includes changes in fluid-saturated rock properties in the borehole environment, and describes the processes of the formation fluid replacement with mud filtrate, taking into account changes in the geomechanical parameters and evolution of the spatial distribution of electric resistivity. The ATLAS software organization uses a scalable "cloud" of computing agents for high-performance scientific calculations.