Comparison of two time-marching schemes for dynamic rupture simulation with a space-domain BIEM
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- Material Type
- 記事
- Title
- Author/Editor
- Hiroyuki NodaDye S. K. SatoYuuki Kurihara
- Publication, Distribution, etc.
- Publication Date
- 2020-06-01
- Publication Date (W3CDTF)
- 2020-06-01
- Periodical title
- EPS : Earth, Planets and Space
- No. or year of volume/issue
- 72(76)
- Volume
- 72(76)
- ISSN (Periodical Title)
- 1880-5981
- ISSN-L (Periodical Title)
- 1343-8832
- Text Language Code
- eng
- DOI
- 10.1186/s40623-020-01202-5
- Persistent ID (NDL)
- info:ndljp/pid/11520530
- Collection
- Collection (Materials For Handicapped People:1)
- Collection (particular)
- 国立国会図書館デジタルコレクション > 電子書籍・電子雑誌 > その他
- Acquisition Basis
- オンライン資料収集制度
- Date Accepted (W3CDTF)
- 2020-08-03T12:00:21+09:00
- Date Captured (W3CDTF)
- 2020-08-03
- Format (IMT)
- application/pdf
- Access Restrictions
- 国立国会図書館内限定公開
- Service for the Digitized Contents Transmission Service
- 図書館・個人送信対象外
- Availability of remote photoduplication service
- 可
- Periodical Title (URI)
- Periodical Title (Persistent ID (NDL))
- info:ndljp/pid/11467692
- Data Provider (Database)
- 国立国会図書館 : 国立国会図書館デジタルコレクション
- Summary, etc.
- The boundary integral equation method (BIEM) is one of the important numerical techniques used to simulate geophysical phenomena including dynamic propagation, nucleation, and sequence of earthquake ruptures. We studied the stability and convergence of two time-marching schemes numerically for 2-D problems in Mode I, II, and III conditions. One was a conventional method based on piecewise-constant spatiotemporal distribution of the rate of displacement gap V (CM), and the other was a slightly modified scheme from a predictor–corrector method previously applied to a spectral BIEM (NL). In the stability analysis, we simulated behavior of a traction-free fault under uncorrelated random distributions of initial traction. The growth rate of the perturbation is negative in a parameter regime of complex shape with CM, which has two numerical parameters, and the intersection for all the modes is very restricted as reported previously. In contrast, NL has only one parameter and yields simpler and a wide parameter regime of stability, conceivably allowing more flexible meshing on the fault. In the convergence analysis in which a smooth problem was solved, CM resulted in a numerical error scaled as Δx1 while NL led to the scaling of Δx2 typically or of Δx1.5 under certain conditions in Mode II problems. NL requires negligible additional computational costs and modification of the code is quite straightforward relative to CM. Therefore, we conclude that NL is a useful time-marching scheme that has wide applicability in simulations of earthquake ruptures although the reason for the rather complicated convergence behavior and verification of the findings here to more general conditions deserve further study.
- DOI
- 10.1186/s40623-020-01202-5
- Access Restrictions
- インターネット公開
- Rights (production)
- © The Author(s) 2020. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
- Related Material (URI)
- Is Referenced By
- Displacements and stress associated with localized and distributed inelastic deformation with piecewise-constant elastic variations
- References
- Fully dynamic earthquake sequence simulation of a fault in a viscoelastic medium using a spectral boundary integral equation method: does interseismic stress relaxation promote aseismic transients?Proposal of Extended Boundary Integral Equation Method for Rupture Dynamics Interacting With Medium InterfacesSimulation of spontaneous rupture based on a combined boundary integral equation method and finite element method approach: SH and P-SV casesA numerical method for elastic and viscoelastic dynamic fracture problems in homogeneous and bimaterial systemsSurface deformation due to shear and tensile faults in a half-spaceFast Computation of Quasi-Dynamic Earthquake Cycle Simulation with Hierarchical MatricesA new BIEM for rupture dynamics in half-space and its application to the 2008 Iwate-Miyagi Nairiku earthquakeEarthquake nucleation on faults with rate-and state-dependent strengthDynamic Rupture Simulation Reproduces Spontaneous Multifault Rupture and Arrest During the 2016 <i>M</i><sub>w</sub> 7.9 Kaikoura EarthquakeA Barnes-Hut scheme for simulating fault slipDynamic modelling of the flat 2-D crack by a semi-analytic BIEM schemeRupture dynamics of a planar fault in a 3D elastic medium: Rate- and slip-weakening frictionA spectral method for three-dimensional elastodynamic fracture problemsDynamic faulting under rate-dependent frictionSlip instability and state variable friction lawsNon-hypersingular boundary integral equations for two-dimensional non-planar crack analysisEffects of prestress state and rupture velocity on dynamic fault branchingA numerical study of two-dimensional spontaneous rupture propagationThree‐dimensional earthquake sequence simulations with evolving temperature and pore pressure due to shear heating: Effect of heterogeneous hydraulic diffusivityElastodynamic analysis for slow tectonic loading with spontaneous rupture episodes on faults with rate‐ and state‐dependent frictionThree‐dimensional boundary integral modeling of spontaneous earthquake sequences and aseismic slipDynamic plane-strain shear rupture with a slip-weakening friction law calculated by a boundary integral methodDynamic evolution of a fault system through interactions between fault segmentsRate and state dependent friction and the stability of sliding between elastically deformable solidsApparent Critical Slip Displacement Caused By the Existence of A Fault ZoneSeismic cycle on a strike-slip fault with rate- and state-dependent strength in an elastic layer overlying a viscoelastic half-space
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- 国立情報学研究所 : CiNii Research
- Original Data Provider (Database)
- 学術機関リポジトリデータベース雑誌記事索引データベースCrossrefCiNii Articles科学研究費助成事業データベースCrossref
- Bibliographic ID (NDL)
- 11520530
- NAID
- 120006956723