{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1363388844161815808.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1029/2017jb015225"}},{"identifier":{"@type":"URI","@value":"https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1029%2F2017JB015225"}},{"identifier":{"@type":"URI","@value":"https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2017JB015225"}}],"dc:title":[{"@value":"An Invariant Rate‐ and State‐Dependent Friction Formulation for Viscoeastoplastic Earthquake Cycle Simulations"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:title>Abstract</jats:title><jats:p>We present a 2‐D numerical modeling approach for simulating a wide slip spectrum in a viscoelastoplastic continuum. The key new model component is an invariant reformulation of the classical rate‐ and state‐dependent friction equations, which is designed for earthquake simulations along spontaneously evolving faults. Here we describe the methodology and demonstrate that it is accurate and stable in a setup consisting of a mature strike‐slip fault zone. We show that the nucleation and propagation of an earthquake are well resolved, as supported by a good agreement with various analytical approximations, including those of the nucleation and cohesive zone lengths. Results generally converge with respect to grid size, time step, and other numerical parameters. The convergence rate with respect to grid size depends on the internodal averaging scheme, is influenced by wave reflections, and deteriorates for inclined faults. The simulated slip spectrum, ranging from stable sliding at the loading rate to periodic aseismic slip to periodic seismic slip as a function of nucleation size, is in general agreement with the literature. In this simple setup, dynamic pressure does not play a significant role. By analyzing the role of viscous deformation, we identify and confirm by our simulations a theoretical viscosity threshold below which earthquakes cannot nucleate. This threshold is shown to depend on the reference strength of rate‐ and state‐dependent friction and the loading strain rate, which is in agreement with previous work on the brittle‐ductile transition.</jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1383388844161815808","@type":"Researcher","foaf:name":[{"@value":"Robert Herrendörfer"}],"jpcoar:affiliationName":[{"@value":"Geophysical Fluid Dynamics, Institute of Geophysics, Department of Earth Sciences ETH Zurich  Zurich Switzerland"},{"@value":"Seismology and Wave Physics, Institute of Geophysics, Department of Earth Sciences ETH Zurich  Zurich Switzerland"}]},{"@id":"https://cir.nii.ac.jp/crid/1383388844161815809","@type":"Researcher","foaf:name":[{"@value":"Taras Gerya"}],"jpcoar:affiliationName":[{"@value":"Geophysical Fluid Dynamics, Institute of Geophysics, Department of Earth Sciences ETH Zurich  Zurich Switzerland"}]},{"@id":"https://cir.nii.ac.jp/crid/1383388844161815810","@type":"Researcher","foaf:name":[{"@value":"Ylona van Dinther"}],"jpcoar:affiliationName":[{"@value":"Seismology and Wave Physics, Institute of Geophysics, Department of Earth Sciences ETH Zurich  Zurich Switzerland"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"21699313"},{"@type":"EISSN","@value":"21699356"}],"prism:publicationName":[{"@value":"Journal of Geophysical Research: Solid Earth"}],"dc:publisher":[{"@value":"American Geophysical Union (AGU)"}],"prism:publicationDate":"2018-06","prism:volume":"123","prism:number":"6","prism:startingPage":"5018","prism:endingPage":"5051"},"reviewed":"false","dc:rights":["http://onlinelibrary.wiley.com/termsAndConditions#vor"],"url":[{"@id":"https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1029%2F2017JB015225"},{"@id":"https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2017JB015225"}],"createdAt":"2018-05-17","modifiedAt":"2023-09-09","relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360857593724550144","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Community‐Driven Code Comparisons for Three‐Dimensional Dynamic Modeling of Sequences of Earthquakes and Aseismic Slip"}]},{"@id":"https://cir.nii.ac.jp/crid/1390001277392978688","@type":"Article","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Modeling Deformation and Stress States in the Island-arc Crust Considering Heterogeneous Rheological Structure"},{"@language":"ja","@value":"不均質レオロジー構造を考慮した島弧地殻における変形と応力場のモデル化"},{"@language":"ja-Kana","@value":"フキンシツ レオロジー コウゾウ オ コウリョ シタ トウコ チカク ニ オケル ヘンケイ ト オウリョクジョウ ノ モデルカ"}]},{"@id":"https://cir.nii.ac.jp/crid/2051996266990213504","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"MCMC inversion of the transient and steady-state creep flow law parameters of dunite under dry and wet conditions"}]}],"dataSourceIdentifier":[{"@type":"CROSSREF","@value":"10.1029/2017jb015225"},{"@type":"CROSSREF","@value":"10.1186/s40623-021-01543-9_references_DOI_OTv8hmV1SgukZjdMYa9iXiNoTPb"},{"@type":"CROSSREF","@value":"10.5026/jgeography.128.813_references_DOI_OTv8hmV1SgukZjdMYa9iXiNoTPb"},{"@type":"CROSSREF","@value":"10.1029/2021jb023519_references_DOI_4wRR73wiJ5h7kLrCNR599FaI18"}]}