«Proceedings of Gubkin University»

NUMERICAL MODELING OF WAVE PROPAGATION IN CONTINUOUS MEDIA WITH LINEAR DEFINING RELATIONS

UDC: 550.832.044+519.688
DOI: -

Authors:

¹ Gubkin Russian State University of Oil and Gas

Keywords: seismic waves, absorbing boundary conditions, adaptive grids, method of lines

Annotation:

The paper presents a mathematical model and the results of testing of parallel software for computer clusters, designed to simulate the propagation of seismic waves in continuous linear media. The generalized method of direct second-order accuracy in space and time allows the conditionally stable evaluation of the synthetic seismograms for absorbing media with strongly varying parameters. The developed software allows to set the boundary conditions of the free surface for any smooth topography of solids. To reduce the effect of the ref- lected waves from the fictitious boundaries energy-absorbing boundary conditions were used. The program provides for the possibility of local refining of computational grid in areas where high-frequency waves are of particular interest. In order to justify the adequacy of the mathematical and computational models these were applied to solve problems with an analytical solution.

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