The application of grid-characteristic method in solution of fractured formations exploration seismology direct problems (review article)

I. B. Petrov ; M. V. Muratov

Matematičeskoe modelirovanie, Tome 31 (2019) no. 4, pp. 33-56

Résumé

In the review article the papers with methods of fractured formations exploration seismology direct problems solution are considered. The fractured formations are the potential carbonate-containing collectors, which are studied actively at present time. Because of high cost of field exploration works the numerical simulation is the important part of such researches leading to decrease of financial and temporary spends. The papers of traditional modeling methods based on effective models are considered. Also, the significant part of article is about works with use of methods developed by authors to solve considered range of problems. These methods are based on use of grid-characteristic method on unstructured triangle (in 2D-case) and tetrahedral (in 3D-case) meshes. The grid-characteristic numerical method describes the dynamical processes in exploration seismology problems the most exactly, because it takes into consideration the nature of wave processes. The used approach lets to make the correct computational algorithms on boundaries and contact boundaries of integration area. The important part of this article is about different fracture models used in practice. Result of numerical simulation with use of developed methods from papers of the authors are also represented in the article, as the important practical conclusions based on them.

Détail

Keywords: review article, numerical simulation, grid-characteristic method, unstructured meshes, exploration seismology, fractured media.