Abstract
In this paper, we consider the problem of constructing a numerical solution to the system of equations of an acoustic medium in a fixed domain with a boundary. Physically, it corresponds to the process of the seismic wave propagation in geological media during the procedure of the seismic exploration of hydrocarbon deposits. The system of partial differential equations under consideration is hyperbolic. To construct its numerical solution, a grid-characteristic method is used on an extended spatial stencil. This approach makes it possible to construct a higher-order approximation scheme at the internal points of the computational domain. However, it requires a careful construction of the numerical solution near the boundaries. In this paper, the approach that preserves the increased approximation order up to the boundary is proposed. The verification numerical simulations were carried out.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Доклады Российской академии наук. Математика, информатика, процессы управления
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
