Modeling of wave field, which has been excited of deep or superficial source in horizontally layered half-space
Journal Title: Геодинаміка - Year 2017, Vol 22, Issue 1
Abstract
Purpose. The aim is to conduct mathematical modeling of disturbances and seismic wave field propagation in horizontally layered isotropic elastic half-space; summarizing the results obtained in the case of absorbing media; numerical implementation of the method of calculation of seismic waves in horizontally layered medium with absorption, perturbed point source in a simple force that depends on time; build sustainable programs and algorithms for numerical calculations for synthetic seismograms; and conducting numerical experiments for verification of results. Methodology. The method comprises administering primary wave fields, perturbed idle power on or within horizontally layered isotropic elastic half-space with absorption. It is based on the use of integrals Bessellya-Mellin, matrix Thomson-Haskell method and its modifications. Results. The effective and sustainable method of calculating synthetic seismograms for stratified horizontally layered isotropic medium with absorption was carried out. The method takes into account the availability of the free surface, the presence of a point source in a simple force placed on or within half-space interference phenomena associated with tonkosharuvatistyu. To increase the stability calculation of the wave field the transition was made from the characteristic matrix of fourth order matrix to sixth order. The modeling of the phenomenon of resonance in horizontal layered half-space was caused by the presence of low speeds in the upper layer. Originality. After entering primary wave field perturbations idle power on or within the horizontally-layered half-space, the developed numerical and analytical approach to modeling of waves in horizontally layered isotropic elastic media was imperfect. Algorithms and software were used for the calculation of synthetic seismograms at the free surface of environments. Practical significance. The practical significance of the developed method is the ability to analytically and numerically explore the wave processes occurring in layered media. The calculation of synthetic seismograms and allocating them to different types of waves allow analysis and accurate interpretation of the wave pattern that is recorded during seismic observations
Authors and Affiliations
R. M. Pak
Modeling of wave field, which has been excited of deep or superficial source in horizontally layered half-space
Purpose. The aim is to conduct mathematical modeling of disturbances and seismic wave field propagation in horizontally layered isotropic elastic half-space; summarizing the results obtained in the case of absorbing medi...
One option of constructing three-dimensional distribution of the mass and its derivatives for a spherical planet Earth
Purpose. To build a three-dimensional function of the mass distribution of the Earth's interior according to the parameters (Stokes constant to the second order inclusive) of the external gravitational field of the Earth...
Balanced cross section of the Ukrainian Carpathians along Berehomet–Burkut
The presented balanced and restored geological sections demonstrate modern structure of the South–Western part of the Ukrainian Carpathians and quantitative parameters of the sedimentation basin development during the Lo...
Seismicity, geology, seismotectonics and geodynamics of Tereblya-Ritska HPS area (Ukrainian Transcarpathians)
Purpose. The aim of the work is to conduct the complex analysis of seismicity, geology, seismotectonics and difference scale geodynamic processes in the Tereblya-Rika hydro power station (HPS) area in the Ukrainian Trans...
Pokuttia deep fault and its influence on tectonics and the oil- and gas-bearing of the south-eastern segment of the Carpathians
Objective. The objective of this study is to analyze the influence of the Pokuttia deep fault on tectonics and the oil- and gas-bearing structures in the south-eastern part of the Ukrainian Carpathians. Methodology. It...