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Parallel Numerical Simulation of Sonic Log for 3D Heterogeneous TTI Media Full article

Conference Суперкомпьютерные дни в России 2023
25-26 Sep 2023 , Москва
Source Supercomputing : 9th Russian Supercomputing Days, RuSCDays 2023, Moscow, Russia, September 25–26, 2023, Revised Selected Papers
Compilation, Springer Cham. Switzerland.2023. 318 c. ISBN 978-3-031-49432-1.
Journal Lecture Notes in Computer Science
ISSN: 0302-9743 , E-ISSN: 1611-3349
Output data Year: 2023, Volume: 14388, Pages: 163-176 Pages count : 15 DOI: 10.1007/978-3-031-49432-1_13
Tags Sonic log · tilted transverse isotropy · multiaxial perfectly matched layer · finite-difference scheme · parallel computations
Authors Cheverda Vladimir 1 , Kostin Victor 1 , Lisitsa Vadim 2,3 , Reshetova Galina 1,2,3
Affiliations
1 Sobolev Institute of Mathematics
2 Trofimuk Institute of Petroleum Geology and Geophysics
3 Institute of Computational Mathematics and Mathematical Geophysics

Funding (3)

1 Russian Science Foundation 22-11-00104
2 Russian Science Foundation 22-11-00004
3 Russian Science Foundation 20-11-20112

Abstract: The paper presents an approach to the numerical simulation of sonic logging for arbitrary Tilted Transversely Isotropic (TTI) heterogeneous surrounding media. The simulation is based on the Lebedev’s f inite difference scheme. In order to take into account the sharpest interface of the problem, namely the interface between the fluid-filled borehole and the surrounding media, the analysis and simulation are performed in a cylindrical coordinate system. The use of this particular coordinate system causes two mathematical peculiarities: azimuth inflation of the mesh cells and singularity at the vertical axis r = 0. To solve these problems, local azimuth mesh refinement and interpolation at r = 0 are used, which are presented and verified in the paper. Another important factor in constructing an efficient and reliable method for the numerical simulation of the sonic log is the limitation of the computational domain. The use of the standard PML method for anisotropic media often leads to numerical instability. Therefore, its modification, known as MPML, is used here. The numerical simulation of acoustic wave fields in realistic borehole models requires the use of high performance computing systems with parallel architecture. For this purpose, we apply the spatial decomposition of the computational domain and organise the computations using MPI. The results of numerical experiments are presented and discussed.
Cite: Cheverda V. , Kostin V. , Lisitsa V. , Reshetova G.
Parallel Numerical Simulation of Sonic Log for 3D Heterogeneous TTI Media
In compilation Supercomputing : 9th Russian Supercomputing Days, RuSCDays 2023, Moscow, Russia, September 25–26, 2023, Revised Selected Papers. – Springer Cham., 2023. – Т.Part I. – C.163-176. – ISBN 978-3-031-49432-1. DOI: 10.1007/978-3-031-49432-1_13 Scopus OpenAlex
Dates:
Published print: Dec 1, 2023
Published online: Jan 5, 2024
Identifiers:
Scopus: 2-s2.0-85182589181
OpenAlex: W4390594632
Citing: Пока нет цитирований
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