Author:
Gubaidullin Amir A.,Boldyreva Olga Yu.,Dudko Dina N.
Abstract
A new approach to the numerical study of arbitrary waveform impulses in a layered porous and fractured-porous medium in a two-dimensional formulation has been developed. Layers can have different characteristics and contain fractures. A computer implementation of the mathematical model based on the finite-difference MacCormack method has been completed. A number of test calculations have been carried out confirming the reliability of the numerical solutions obtained. The possibility of using the proposed approach to solve problems of wave dynamics is shown.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference16 articles.
1. Khasanov, M.K., Rafikova, G.R., and Musakaev, N.G. (2020). Mathematical Model of Carbon Dioxide Injection into a Porous Reservoir Saturated with Methane and its Gas Hydrate. Energies, 13.
2. Musakaev, N.G., and Khasanov, M.K. (2020). Solution of the Problem of Natural Gas Storages Creating in Gas Hydrate State in Porous Reservoirs. Mathematics, 8.
3. Waves in a porous medium with a gas hydrate containing layer;Gubaidullin;J. Appl. Mech. Tech. Phys.,2020
4. Numerical study of the impact of a shock wave on an obstacle shielded by a layer of porous powdery medium;Kutushev;J. Appl. Mech. Tech. Phys.,1993
5. Applying the TVD scheme to calculate two-phase flows with different velocities and pressures of the components;Zhilin;Math. Model. Comput. Simul.,2008