{"@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/1362262943772739968.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1029/2011jb008560"}},{"identifier":{"@type":"URI","@value":"https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1029%2F2011JB008560"}},{"identifier":{"@type":"URI","@value":"https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2011JB008560"}}],"dc:title":[{"@value":"Transdimensional inversion of receiver functions and surface wave dispersion"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:p>We present a novel method for joint inversion of receiver functions and surface wave dispersion data, using a transdimensional Bayesian formulation. This class of algorithm treats the number of model parameters (e.g. number of layers) as an unknown in the problem. The dimension of the model space is variable and a Markov chain Monte Carlo (McMC) scheme is used to provide a parsimonious solution that fully quantifies the degree of knowledge one has about seismic structure (i.e constraints on the model, resolution, and trade‐offs). The level of data noise (i.e. the covariance matrix of data errors) effectively controls the information recoverable from the data and here it naturally determines the complexity of the model (i.e. the number of model parameters). However, it is often difficult to quantify the data noise appropriately, particularly in the case of seismic waveform inversion where data errors are correlated. Here we address the issue of noise estimation using an extended Hierarchical Bayesian formulation, which allows both the variance and covariance of data noise to be treated as unknowns in the inversion. In this way it is possible to let the data infer the appropriate level of data fit. In the context of joint inversions, assessment of uncertainty for different data types becomes crucial in the evaluation of the misfit function. We show that the Hierarchical Bayes procedure is a powerful tool in this situation, because it is able to evaluate the level of information brought by different data types in the misfit, thus removing the arbitrary choice of weighting factors. After illustrating the method with synthetic tests, a real data application is shown where teleseismic receiver functions and ambient noise surface wave dispersion measurements from the WOMBAT array (South‐East Australia) are jointly inverted to provide a probabilistic 1D model of shear‐wave velocity beneath a given station.</jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1380013168749392780","@type":"Researcher","foaf:name":[{"@value":"T. Bodin"}]},{"@id":"https://cir.nii.ac.jp/crid/1382262943772739970","@type":"Researcher","foaf:name":[{"@value":"M. Sambridge"}]},{"@id":"https://cir.nii.ac.jp/crid/1382262943772739971","@type":"Researcher","foaf:name":[{"@value":"K. Gallagher"}]},{"@id":"https://cir.nii.ac.jp/crid/1382262943772739969","@type":"Researcher","foaf:name":[{"@value":"N. Rawlinson"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"01480227"}],"prism:publicationName":[{"@value":"Journal of Geophysical Research: Solid Earth"}],"dc:publisher":[{"@value":"American Geophysical Union (AGU)"}],"prism:publicationDate":"2012-02","prism:volume":"117","prism:number":"B2","prism:startingPage":"1"},"reviewed":"false","dc:rights":["http://onlinelibrary.wiley.com/termsAndConditions#vor"],"url":[{"@id":"https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1029%2F2011JB008560"},{"@id":"https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2011JB008560"}],"createdAt":"2011-12-03","modifiedAt":"2023-10-30","relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360004229807632128","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Hot Upper Mantle Beneath the Tristan da Cunha Hotspot From Probabilistic Rayleigh‐Wave Inversion and Petrological Modeling"}]},{"@id":"https://cir.nii.ac.jp/crid/1360009142745248640","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Development of a Trans‐Dimensional Fault Slip Inversion for Geodetic Data"}]},{"@id":"https://cir.nii.ac.jp/crid/1360290617401200768","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Continental Drift with Deep Cratonic Roots"}]},{"@id":"https://cir.nii.ac.jp/crid/1360290617445490944","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Overpressured Underthrust Sediment in the Nankai Trough Forearc Inferred From Transdimensional Inversion of High‐Frequency Teleseismic Waveforms"}]},{"@id":"https://cir.nii.ac.jp/crid/1360290617901423744","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Unexpected Consequences of Transverse Isotropy"}]},{"@id":"https://cir.nii.ac.jp/crid/1360567182088824448","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"High resolution 3-D crustal structure beneath NE China from joint inversion of ambient noise and receiver functions using NECESSArray data"}]},{"@id":"https://cir.nii.ac.jp/crid/1360567183245703296","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Beyond Receiver Functions: Green's Function Estimation by Transdimensional Inversion and Its Application to OBS Data"}]},{"@id":"https://cir.nii.ac.jp/crid/1360572092853909120","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Upper-mantle discontinuities beneath Australia from transdimensional Bayesian inversions using multimode surface waves and receiver functions"}]},{"@id":"https://cir.nii.ac.jp/crid/1360576118691375232","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Sedimentary Structure Derived From Multi‐Mode Ambient Noise Tomography With Dense OBS Network at the Japan Trench"}]},{"@id":"https://cir.nii.ac.jp/crid/1360576118698362240","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Effect of fault discretization on geodetic source inversion and usefulness of the trans-dimensional inversion approach"}]},{"@id":"https://cir.nii.ac.jp/crid/1360580229797981056","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Multimode dispersion measurement of surface waves extracted by multicomponent ambient noise cross-correlation functions"}]},{"@id":"https://cir.nii.ac.jp/crid/1360584339753519360","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Shallow Low‐Velocity Layer in the Hyuga‐Nada Accretionary Prism and Its Hydrological Implications: Insights From a Passive Seismic Array"}]},{"@id":"https://cir.nii.ac.jp/crid/1360865815502217088","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Ambient noise multimode surface wave tomography"}]},{"@id":"https://cir.nii.ac.jp/crid/1390012711622892672","@type":"Article","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Estimation of the Sedimentary Basin Structure of the Southeastern Part of the Ishikari Lowland, Hokkaido, Inferred from Receiver Function"},{"@language":"ja","@value":"レシーバー関数による石狩低地帯南東部の堆積層構造の推定"}]},{"@id":"https://cir.nii.ac.jp/crid/2051433317034590208","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Lithosphere–asthenosphere boundary beneath the Sea of Japan from transdimensional inversion of S-receiver functions"}]}],"dataSourceIdentifier":[{"@type":"CROSSREF","@value":"10.1029/2011jb008560"},{"@type":"CROSSREF","@value":"10.1002/2017gc007347_references_DOI_XrEilLYAfzZbzE6WfxR9q6oXBZF"},{"@type":"CROSSREF","@value":"10.1029/2020jb020991_references_DOI_XrEilLYAfzZbzE6WfxR9q6oXBZF"},{"@type":"CROSSREF","@value":"10.1186/s40623-021-01501-5_references_DOI_XrEilLYAfzZbzE6WfxR9q6oXBZF"},{"@type":"CROSSREF","@value":"10.1146/annurev-earth-091620-113028_references_DOI_XrEilLYAfzZbzE6WfxR9q6oXBZF"},{"@type":"CROSSREF","@value":"10.1029/2020gl088280_references_DOI_XrEilLYAfzZbzE6WfxR9q6oXBZF"},{"@type":"CROSSREF","@value":"10.1785/0120200205_references_DOI_XrEilLYAfzZbzE6WfxR9q6oXBZF"},{"@type":"CROSSREF","@value":"10.1093/gji/ggab515_references_DOI_XrEilLYAfzZbzE6WfxR9q6oXBZF"},{"@type":"CROSSREF","@value":"10.1029/2018jb016499_references_DOI_XrEilLYAfzZbzE6WfxR9q6oXBZF"},{"@type":"CROSSREF","@value":"10.1093/gji/ggaa442_references_DOI_XrEilLYAfzZbzE6WfxR9q6oXBZF"},{"@type":"CROSSREF","@value":"10.1029/2021jb021789_references_DOI_XrEilLYAfzZbzE6WfxR9q6oXBZF"},{"@type":"CROSSREF","@value":"10.1093/gji/ggac225_references_DOI_XrEilLYAfzZbzE6WfxR9q6oXBZF"},{"@type":"CROSSREF","@value":"10.1029/2022jb026298_references_DOI_XrEilLYAfzZbzE6WfxR9q6oXBZF"},{"@type":"CROSSREF","@value":"10.4294/zisin.2022-1_references_DOI_XrEilLYAfzZbzE6WfxR9q6oXBZF"},{"@type":"CROSSREF","@value":"10.1186/s40645-023-00605-8_references_DOI_XrEilLYAfzZbzE6WfxR9q6oXBZF"},{"@type":"CROSSREF","@value":"10.1016/j.epsl.2015.01.044_references_DOI_XrEilLYAfzZbzE6WfxR9q6oXBZF"}]}