Computation of seismic wave field kinematics in a three-dimensional heterogeneous isotropic medium

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

1 Цитирования (Scopus)

Аннотация

The goal of this study is to develop algorithms and programs to compute wave travel times and directions at the nodes of a given 3D grid. We consider a velocity model that can be described analytically or presented by defining velocity values at the nodes of a 3D regular point grid. In the latter case, the velocity model is smoothed by a spatial low-pass filtering. An algorithm of 3D shooting is developed. The algorithm can be used in case of a point source and more generally for an initial wave front position defined as a parametric surface Φ(θ, φ). In the latter case, the initial points of rays on this surface are not known beforehand. In the case of a source point, the ray direction is determined by the variables θ, φ. We consider equations for partial derivatives with respect to the variables θ, φ together with the differential ray system. The entire system is solved by a fifth-order Runge-Kutta method with step-size and precision control. With known derivatives at ray points we can use Newton's iterative method, which guarantees quadratic convergence. Moreover, with these derivatives we can calculate geometrical spreading and thus the amplitudes. Different types of velocity structures such as homogeneous, gradient, etc. and different types of surface Φ(θ, φ) are considered. The results of numerical experiments are presented.

Язык оригиналаанглийский
Название основной публикацииApplication of Mathematics in Technical and Natural Sciences
Подзаголовок основной публикации9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017
РедакторыMD Todorov
ИздательAmerican Institute of Physics Inc.
Число страниц9
Том1895
ISBN (электронное издание)9780735415799
DOI
СостояниеОпубликовано - 12 окт 2017
Событие9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017 - Albena, Varna, Болгария
Продолжительность: 21 июн 201726 июн 2017

Серия публикаций

НазваниеAIP Conference Proceedings
ИздательAMER INST PHYSICS
Том1895
ISSN (печатное издание)0094-243X

Конференция

Конференция9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017
СтранаБолгария
ГородAlbena, Varna
Период21.06.201726.06.2017

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