Mathematical Modeling of Seismic Wave Kinematics in Complex MediaстатьяИсследовательская статья
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из перечня ВАК
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 17 апреля 2024 г.
Аннотация:This paper presents a variational method for mathematical modeling of seismic wave kinematicsdeveloped by the Seismometry and Geoacoustics Chair at the Department of Geology, Moscow State University, for studying the kinematics of seismic waves of different types in 2D isotropic (gradient and layered)media. The problem of determining the paths of seismic rays was solved by integrating a system of differentialequations with given initial conditions using the Runge–Kutta method. An algorithm to verify the accuracyand correctness of the solutions was studied and tested on a number of theoretical models of inhomogeneousmedia. The thus-developed ray tracing method was used to study the effect of the velocity gradient and of thegeometry of seismic boundaries on the kinematics of reflected waves in multilayer media. Based on the resultsof mathematical modeling of the kinematics of reflected waves, conclusions were drawn about the limits ofapplicability of simplified models of horizontally layered media, which often approximate complex inhomogeneous media