Correct statement of control problems of gas fields development is provided by a balanced selection of technological parameters and control actions included in the model equations. The proposed approach is universal for the simulation of fluid filtration in porous media for oil and gas fields development. The proposed schema of domain (homogeneous units of reservoir) decomposition (splitting) to the superelements is a highly successful and provides a high efficiency of hierarchical chemes for parallelization of computations for solving the considered problems of simulation and control with minimal time consumption. The implementation of algorithms is focused on multiprocessor systems using parallel computing interfaces and frameworks like MPI, OpenMP, OpenCL, etc.