{"@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/1361137045989741056.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1029/2003gl018708"}},{"identifier":{"@type":"URI","@value":"https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1029%2F2003GL018708"}},{"identifier":{"@type":"URI","@value":"https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2003GL018708"}},{"identifier":{"@type":"NAID","@value":"80016526529"}}],"dc:title":[{"@value":"Numerical study on multi‐scaling earthquake rupture"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:p>A new numerical scheme using a renormalization and a 3D boundary integral equation method is proposed to simulate a multi‐scaling dynamic rupture of earthquakes: How a small earthquake grows up to a large one in spatially heterogeneous field of critical slip‐weakening distance <jats:italic>D</jats:italic><jats:sub><jats:italic>c</jats:italic></jats:sub> (fracture energy <jats:italic>G</jats:italic><jats:sub><jats:italic>c</jats:italic></jats:sub>)? We examine the case where <jats:italic>D</jats:italic><jats:sub><jats:italic>c</jats:italic></jats:sub> grows according to a hypocentral distance <jats:italic>L</jats:italic> (<jats:italic>D</jats:italic><jats:sub><jats:italic>c</jats:italic></jats:sub> ∝ <jats:italic>L</jats:italic><jats:sup>β</jats:sup>). When β = 1, we succeed to show numerically that a rupture propagates at a constant rupture speed in uniform initial stress field. This result still keeps the scaling relation of <jats:italic>G</jats:italic><jats:sub><jats:italic>c</jats:italic></jats:sub> and <jats:italic>D</jats:italic><jats:sub><jats:italic>c</jats:italic></jats:sub> inferred for earthquake size, however no scale‐dependent initial process is required. The break of the proportional relation changes rupture speed as well as slip velocity to keep the energy balance. The rupture is accelerated up to a speed even faster than the shear wave velocity (β < 1) or naturally arrested (β > 1).</jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1381137045989741057","@type":"Researcher","foaf:name":[{"@value":"Hideo Aochi"}],"jpcoar:affiliationName":[{"@value":"Institut de Radioprotection et de Sûreté Nucléaire  France"}]},{"@id":"https://cir.nii.ac.jp/crid/1381137045989741056","@type":"Researcher","foaf:name":[{"@value":"Satoshi Ide"}],"jpcoar:affiliationName":[{"@value":"Department of Earth and Planetary Science University of Tokyo  Japan"}]}],"contributor":[{"@id":"https://cir.nii.ac.jp/crid/1893679867856296835","@type":"Researcher","foaf:name":[{"@value":"The University of Tokyo (UTokyo)"}]},{"@id":"https://cir.nii.ac.jp/crid/1893679867856296836","@type":"Researcher","foaf:name":[{"@value":"Bureau d'Evaluation des Risques Sismiques pour la Sûreté des Installations Nucléaires (IRSN/DEI/SARG/BERSSIN) ; Institut de Radioprotection et de Sûreté Nucléaire (IRSN)"}]},{"@id":"https://cir.nii.ac.jp/crid/1893679867856296834","@type":"Researcher","foaf:name":[{"@value":"DEI/SARG/BERSSIN - Bureau d'Evaluation des Risques Sismiques pour la Sûreté des Installations Nucléaires (IRSN) ; Institut de Radioprotection et de Sûreté Nucléaire (IRSN)"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"00948276"},{"@type":"EISSN","@value":"19448007"}],"prism:publicationName":[{"@value":"Geophysical Research Letters"}],"dc:publisher":[{"@value":"American Geophysical Union (AGU)"}],"prism:publicationDate":"2004-01","prism:volume":"31","prism:number":"2","prism:startingPage":"L02606"},"reviewed":"false","dcterms:accessRights":"http://purl.org/coar/access_right/c_abf2","dc:rights":["http://onlinelibrary.wiley.com/termsAndConditions#vor"],"url":[{"@id":"https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1029%2F2003GL018708"},{"@id":"https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2003GL018708"}],"createdAt":"2004-01-25","modifiedAt":"2023-10-31","foaf:topic":[{"@id":"https://cir.nii.ac.jp/all?q=earthquake%20rupture","dc:title":"earthquake rupture"},{"@id":"https://cir.nii.ac.jp/all?q=Earthquake%20effects","dc:title":"Earthquake effects"},{"@id":"https://cir.nii.ac.jp/all?q=Velocity","dc:title":"Velocity"},{"@id":"https://cir.nii.ac.jp/all?q=Boundary%20integral%20equation","dc:title":"Boundary integral equation"},{"@id":"https://cir.nii.ac.jp/all?q=Shear%20flow","dc:title":"Shear flow"},{"@id":"https://cir.nii.ac.jp/all?q=Boundary%20integral%20equations","dc:title":"Boundary integral equations"},{"@id":"https://cir.nii.ac.jp/all?q=Earthquakes","dc:title":"Earthquakes"},{"@id":"https://cir.nii.ac.jp/all?q=Stresses","dc:title":"Stresses"},{"@id":"https://cir.nii.ac.jp/all?q=Initial%20stress%20field","dc:title":"Initial stress field"},{"@id":"https://cir.nii.ac.jp/all?q=Integral%20equations","dc:title":"Integral equations"},{"@id":"https://cir.nii.ac.jp/all?q=Wave%20propagation","dc:title":"Wave propagation"},{"@id":"https://cir.nii.ac.jp/all?q=Shear%20wave%20velocity","dc:title":"Shear wave velocity"},{"@id":"https://cir.nii.ac.jp/all?q=Computer%20simulation","dc:title":"Computer simulation"},{"@id":"https://cir.nii.ac.jp/all?q=fault%20propagation","dc:title":"fault propagation"},{"@id":"https://cir.nii.ac.jp/all?q=Earthquake%20rupture","dc:title":"Earthquake rupture"},{"@id":"https://cir.nii.ac.jp/all?q=Boundary%20integral%20equation%20method","dc:title":"Boundary integral equation method"},{"@id":"https://cir.nii.ac.jp/all?q=Proportional%20relation","dc:title":"Proportional relation"},{"@id":"https://cir.nii.ac.jp/all?q=Geophysics","dc:title":"Geophysics"},{"@id":"https://cir.nii.ac.jp/all?q=Shear%20waves","dc:title":"Shear waves"},{"@id":"https://cir.nii.ac.jp/all?q=Small%20earthquakes","dc:title":"Small earthquakes"},{"@id":"https://cir.nii.ac.jp/all?q=%5BSDU%5DSciences%20of%20the%20Universe%20%5Bphysics%5D","dc:title":"[SDU]Sciences of the Universe [physics]"},{"@id":"https://cir.nii.ac.jp/all?q=Waves","dc:title":"Waves"},{"@id":"https://cir.nii.ac.jp/all?q=scale%20effect","dc:title":"scale effect"},{"@id":"https://cir.nii.ac.jp/all?q=Numerical%20methods","dc:title":"Numerical methods"},{"@id":"https://cir.nii.ac.jp/all?q=Scaling%20relations","dc:title":"Scaling 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