MODERN COMPUTATIONAL TECHNOLOGIES OF COMPUTER MODELING PROCESSES OF UNDERGROUND HYDRODYNAMICS

The paper is devoted to developing an approach based on the synthesis of numerical methods quasiconformal mappings, summary representations and task decomposition to mathematical modeling of nonlinear quasiideal filtration processes in technogenic-deformable reservoirs of water or oil and gas, in which geometry of zones of heterogeneity determined considering the reverse influence characteristics of the process on the conductivity of environment, and to solving appropriate boundary value problems with the ability to determine the model parameters. Complex computational technology of solving boundary value problems describing mathematical models of complex nonlinear hydrodynamic underground filtration processes under conditions of mutual characteristics of the process and the environment was developed to further study these processes via computer simulation. Was put the idea of synthesis of numerical methods quasiconformal mappings, summary representations methods and method of domain decomposition by Schwarz in this approach. Developed algorithm automatically solves the problem of choice of nodes and the construction of a dynamic grid, finding the lines between the layers constant coefficient of conductivity of the medium, calculate the total flow.