- Код статьи
- S3034533S0044466925020081-1
- DOI
- 10.7868/S303453325020081
- Тип публикации
- Статья
- Статус публикации
- Опубликовано
- Авторы
- Том/ Выпуск
- Том 65 / Номер выпуска 2
- Страницы
- 222-234
- Аннотация
- В данной работе рассматривается пример совместного использования сеточно-характеристического метода на регулярных структурированных расчетных сетках и разрывного метода Галеркина на тетраэдральных сетках для решения трехмерной прямой задачи распространения упругих волн в геологической среде, состоящей из четырех слоев, представляемых в виде линейно-упругой среды, с разными параметрами и произвольными криволинейными границами. Для сшивки численных методов используется специальный алгоритм, учитывающий особенности перехода от нерегулярной тетраэдральной расчетной сетки к регулярной структурированной расчетной сетки в трехмерном пространстве. Приведен сравнительный анализ сходимости полученного комбинированного метода с сеточно-характеристическим методом на криволинейных структурированных расчетных сетках в зависимости от изменения шага по пространственным направлениям. Получено волновое поле модуля скорости распространения возмущения от источника. Библ. 32. Фиг. 14. Табл. 3.
- Ключевые слова
- численное моделирование сеточно-характеристический метод разрывный метод Галеркина расчетные сетки сейсморазведка сейсмическая топография
- Дата публикации
- 01.02.2025
- Год выхода
- 2025
- Всего подписок
- 0
- Всего просмотров
- 71
Библиография
- 1. Moidaki M. New shear wave splitting measurements using broadband seismic data recorded by the BX seismological network in Botswana // Data in Brief. 2023. V. 48. Art. № 109078.
- 2. Li H., Gao R., Huang X., Wang H., Guo X., Liang H., Tan X., Liu X., Yang Z. Triassic convergence and tectonic evolution of the West Qinling orogen: Constraints from reflection-seismology imaging // Gondwana Research. 2023. V. 122. P. 1–10.
- 3. Cai Y., Wu J., Liu Y., Gao S. Advances in seismological methods for characterizing fault zone structure // Earthquake Science. 2024. V. 37. № 2. P. 122–138.
- 4. Emetere M.E. Modified satellite remote sensing technique for hydrocarbon deposit detection // J. of Petroleum Science and Engng. 2019. V. 181. Art. № 106228.
- 5. Li D., Qi L. Full wave seismic exploration technology // Petroleum Exploration and Development. 2022. V. 49. № 3. P. 586–595.
- 6. Li X., Zhang Z., Ren Q., Liu H., Xue F. Numerical simulation of seismic wave in elastic and viscoelastic TTI media // Earthquake Science. 2020. V. 33. № 3. P. 116–129.
- 7. Mao Q., Huang J., Mu X., Yang J., Zhang Y. Accurate simulations of pure-viscoacoustic wave propagation in tilted transversely isotropic media // Petroleum Science. 2024. V. 21. P. 866–884.
- 8. Benito J.J., Urena F., Gavete L., Salete E., Urena M. Implementations with generalized finite differences of the displacements and velocity-stress formulations of seismic wave propagation problem // Appl. Math. Modelling. 2017. V. 52. P. 1–14.
- 9. Kolman R., Okrouhlik M., Berezovski A., Gabriel D., Kopacka J., Plesek J. B-spline based finite element method in one-dimensional discontinuous elastic wave propagation // Appl. Math. Modelling. 2017. V. 46. P. 382–395.
- 10. Davoodi M., Pourdeilami A., Jahankhah H., Jafari M.K. Application of perfectly matched layer to soil-foundation interaction analysis // J. of Rock Mechanics and Geotechnical Engng. 2018. V. 10. № 4. P. 753–768.
- 11. He X., Li J., Huang X., Zhou Y. Solving elastic wave equations in 2D transversely isotropic media by a weighted Runge-Kutta discontinuous Galerkin method // Petroleum Science. 2023. V. 20. № 2. P. 827–839.
- 12. Duan W. Time domain numerical modelling of guided wave excitation in fluid-filled pipes // Finite Elements in Analysis and Design. 2022. V. 210. Art. № 103813.
- 13. Antonietti P.F., Mazzieri I., Migliorini F. A discontinuous Galerkin Time Integration Scheme for Second Order Differential Equations With Applications to Seismic Wave Propagation Problems // Comput. & Math. with Applications. 2023. 134. P. 87–100.
- 14. Chen K., Liu L., Xu L., Hu F., Yang Y., Zuo J., Zhang L., Zhao Y. Linearized waveform inversion for vertical transversely isotropic elastic media: Methodology and multi-parameter crosstalk analysis // Petroleum Science. 2024. V. 21. № 1. P. 252–271.
- 15. Li X., Koene E., Manen D., Robertsson J., Curtis A. Elastic immersive wavefield modelling // J. of Comput. Physics. 2022. V. 451. Art. № 110826.
- 16. Benito J.J., Urena F., Urena M., Salete E., Gavete L. A new meshless approach to deal with interfaces in seismic problems // Appl. Math. Modelling. 2018. V. 58. P. 447–458.
- 17. Tavelli M., Dumbser M., Charrier D.E., Rannabauer L., Weinzier T., Bader M. A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography // J. of Comput. Physics. 2019. V. 386. P. 158–189.
- 18. Tavelli M., Dumbser M. Arbitrary high order accurate space–time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity // J. of Comput. Physics. 2018. V. 366. P. 386–414.
- 19. Lisitsa V. Dispersion analysis of discontinuous Galerkin method on triangular mesh for elastic wave equation // Appl. Math. Modelling. 2016. V. 40. № 7–8. P. 5077–5095.
- 20. Kozhemyachenko A.A., Favorskaya A.V. Grid convergence analysis of grid-characteristic method on Chimera meshes in ultrasonic nondestructive testing of railroad rail // Comput. Math. and Math. Phys. 2023. V. 63. № 10. P. 1886–1903.
- 21. Khokhlov N.I., Favorskaya A., Furgailo V. Grid-Characteristic Method on overlapping curvilinear meshes formodeling elastic waves Scattering on Geological Fractures // Minerals. 2022. V. 12. № 12. Art. № 1597.
- 22. Gao L., Keyes D. Combining finite element and finite difference methods for isotropic elastic wave simulations in an energy-conserving manner // J. of Comput. Phys. V. 378. P. 665–685.
- 23. Lisitsa, V., Tcheverda V., Botter C. Combination of the discontinuous Galerkin method with finite differences for simulation of seismic wave propagation // J. of Comput. Phys. 2016. V. 311. № 15. P. 142–157.
- 24. Huang J., Hu T., Jianyong S., Li. Y., Yu Z., Liu L. A new hybrid method based on discontinious Galerkin method and staggered-grid method for scalar wavefield modeling with rough topography // Geophysical Prospecting. 2021. V. 70. № 3. P. 441–458.
- 25. Kozhemyachenko A., Favorskaya A., Pesnya E., Stetsyuk V. Modification of the Grid-Characteristic Method on Chimera Meshes for 3D Problems of Railway Non-destructive Testing // Lobachevskii Journal of Mathematics. 2023. V. 44. № 1. P. 376–386.
- 26. Favorskaya A.V., Petrov I.B. Combination of grid-characteristic method on regular computational meshes with discontinuous Galerkin method for simulation of elastic wave propagation. 2021. V. 42. № 7. P. 1652–1660.
- 27. Walshaw C., Cross M. Parallel optimisation algorithms for multilevel mesh partitioning // Parallel Computing. 2000. V. 26. № 12. P. 1635–1660.
- 28. Borrell R., Cajas J. C., Mira D., Taha A., Koric S., Vazquez M., Houzeaux G. Parallel mesh partitioning based on space filling curves // Computers & Fluids. 2018. V. 173. P. 264–272.
- 29. Horne W. J., Mahesh K. A massively-parallel, unstructured overset method for mesh connectivity // J. of Comput. Phys. 2019. V. 376. P. 585–596.
- 30. Khokhlov N., Favorskaya A., Stetsyuk V., Mitskovets I. Grid-characteristic method using Chimera meshes for simulation of elastic waves scattering on geological fractured zones // J. of Comput. Phys. 2021. V. 446. Art.№ 110637.
- 31. Favorskaya A.V., Khokhlov N.I., Petrov I.B. Grid-characteristic method on joint structured regular and curved grids for modeling coupled elastic and acoustic wave phenomena in objects of complex shape // Lobachevskii Journal of Mathematics. 2020. V. 41. № 4. P. 512–525.
- 32. Khokhlov N. I., Favorskaya A., Furgailo V. Grid-characteristic method on overlapping curvilinear meshes for modeling elastic waves scattering on geological fractures // Minerals. 2022. V. 12. № 12. Art. № 1597.
