Mathematical modeling is actively used to create and optimize various technologies, including in the field of energy transition, which includes the creation of energy-efficient and environmentally friendly technologies for underground storage of carbon dioxide and hydrocarbon (HC) production. A significant number of technologies in these areas include multiphase and/or multicomponent flows. Their mathematical description requires the development of adequate multidisciplinary models within the framework of modern mechanics of multiphase media, geomechanics and chemistry. The engineering application of applied mathematical models requires a balance between their complexity/accuracy and the calculation time. This can be achieved by combining the fundamentals of mechanics and modern numerical methods, as well as using machine learning methods to create surrogate models of physical processes based on calculations of mechanistic models.

The main activity of the laboratory is the creation and numerical (software) implementation of new mathematical models describing multiphase flows and geomechanical processes in the technological processes of energy transition and oilfield services. The laboratory staff has extensive experience in carrying out applied research projects (more than 15 completed projects over the past 5 years). The scientific experience and qualifications of the laboratory staff are confirmed by scientific publications in leading Russian and foreign journals on fluid- and geomechanics. Patents for inventions have been created based on the results of the completed industrial research.

Key topics of completed research projects in energy transition and oilfield services areas (more than 15 for the period from 2017 to 2023):

• Prediction of the injection rate decline in flooding wells, considering a rock clogging by solid particles;
• Modeling of enhanced oil recovery during flooding of reservoirs with low-mineralized water;
• Development of a model describing fracture cleanup (flowback), creation a technology for effective well start-up;
• Development and numerical implementation of models describing multiphase flows in wells during drilling and cementing;
• Development and numerical implementation of a proppant transport model in hydraulic fractures, considering viscoplastic and viscoelastic rheology of hydraulic fracturing fluids in the presence of heat exchange with rock formation;
• Development of a coupled fluid- and geomechanical model to evaluate geomechanical risks accompanying the injection carbon dioxide into an underground reservoir for long-term storage.