{"id":2342,"date":"2019-03-06T17:01:35","date_gmt":"2019-03-06T08:01:35","guid":{"rendered":"http:\/\/www.eri.u-tokyo.ac.jp\/en\/?p=2342"},"modified":"2019-03-08T10:02:36","modified_gmt":"2019-03-08T01:02:36","slug":"beyond-receiver-functions-greens-function-estimation-by-transdimensional-inversion-and-its-application-to-obs-data","status":"publish","type":"post","link":"https:\/\/www.eri.u-tokyo.ac.jp\/en\/research\/2342\/","title":{"rendered":"Beyond Receiver Functions: Green&#8217;s Function Estimation by Transdimensional Inversion and Its Application to OBS Data"},"content":{"rendered":"<p style=\"text-align: center\">Takeshi Akuhara<sup>1<\/sup>\u00a0, Michael G. Bostock<sup>2<\/sup>\u00a0, Alexandre P. Plourde<sup>2<\/sup>, and Masanao Shinohara<sup>1<\/sup><\/p>\n<p style=\"text-align: center\"><sup>1<\/sup>Earthquake Research Institute, The University of Tokyo, Tokyo, Japan,\u00a0<sup>2<\/sup>Earth, Ocean and Atmospheric Sciences, The<br \/>\nUniversity of British Columbia, Vancouver, British Columbia, Canada<\/p>\n<p style=\"text-align: center\">JGR: Solid Earth\u3000First published:\u00a024 January 2019\u00a0<a href=\"https:\/\/doi.org\/10.1029\/2018JB016499\">https:\/\/doi.org\/10.1029\/2018JB016499<\/a><\/p>\n<p><strong>Abstract <\/strong><br \/>\nReceiver functions, calculated by deconvolving P (or vertical) component records of teleseismic waveforms from the corresponding SV (or radial) components, have been widely used to obtain receiver\u2010side Green&#8217;s functions in an approximate form. Conventional receiver function methods, however, often fail due to numerical instability of the deconvolution and strong multiples on the P components. These problems become severe when analyzing in high frequency and using data from ocean bottom seismometers (OBSs).<br \/>\nWe present a novel technique to estimate Green&#8217;s functions of receiver\u2010side structure from teleseismic P waveforms. In this method, two components of Green&#8217;s functions, which are assumed to form a series of pulses, are directly related in a single equation without explicit deconvolution. Based on the equation, we construct posterior probability distributions regarding the number of pulses, their timing, and amplitudes within a transdimensional Bayesian framework. A reversible\u2010jump Markov chain Monte Carlo method is used for this purpose, and we further utilize a parallel tempering method to achieve rapid convergence.<br \/>\nSynthetic tests and application to an OBS installed at the Yamato Basin, the Sea of Japan, show that the proposed method can estimate radial\u2010component Green&#8217;s functions more accurately than conventional receiver function methods. We suggest that the high\u2010frequency Green&#8217;s functions estimated by the new method can be used to reveal fine\u2010scale (in order ~100 m) structure of the seafloor sediment.<\/p>\n<figure id=\"attachment_2343\" aria-describedby=\"caption-attachment-2343\" style=\"width: 300px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/www.eri.u-tokyo.ac.jp\/en\/wp-content\/uploads\/sites\/2\/2019\/03\/1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-2343\" src=\"http:\/\/www.eri.u-tokyo.ac.jp\/en\/wp-content\/uploads\/sites\/2\/2019\/03\/1-300x171.png\" alt=\"\" width=\"300\" height=\"171\" srcset=\"https:\/\/www.eri.u-tokyo.ac.jp\/en\/wp-content\/uploads\/sites\/2\/2019\/03\/1-300x171.png 300w, https:\/\/www.eri.u-tokyo.ac.jp\/en\/wp-content\/uploads\/sites\/2\/2019\/03\/1-768x439.png 768w, https:\/\/www.eri.u-tokyo.ac.jp\/en\/wp-content\/uploads\/sites\/2\/2019\/03\/1-1024x585.png 1024w, https:\/\/www.eri.u-tokyo.ac.jp\/en\/wp-content\/uploads\/sites\/2\/2019\/03\/1-1200x685.png 1200w, https:\/\/www.eri.u-tokyo.ac.jp\/en\/wp-content\/uploads\/sites\/2\/2019\/03\/1-500x286.png 500w, https:\/\/www.eri.u-tokyo.ac.jp\/en\/wp-content\/uploads\/sites\/2\/2019\/03\/1.png 1551w\" sizes=\"(max-width: 300px) 85vw, 300px\" \/><\/a><figcaption id=\"caption-attachment-2343\" class=\"wp-caption-text\">Comparison of R component Green&#8217;s functions estimated using different methods, a damped spectral division(top), the iterative deconvolution (middle), and the proposed method (bottom). Black and red traces represent calculated and true Green&#8217;s functions, respectively.<\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Takeshi Akuhara1\u00a0, Michael G. Bostock2\u00a0, Alexandre P. Plourde2, and Masanao Shinohara1 1Earthquake Research In &hellip; <a href=\"https:\/\/www.eri.u-tokyo.ac.jp\/en\/research\/2342\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Beyond Receiver Functions: Green&#8217;s Function Estimation by Transdimensional Inversion and Its Application to OBS Data&#8221;<\/span><\/a><\/p>\n","protected":false},"author":9,"featured_media":2343,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-2342","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-research"],"_links":{"self":[{"href":"https:\/\/www.eri.u-tokyo.ac.jp\/en\/wp-json\/wp\/v2\/posts\/2342"}],"collection":[{"href":"https:\/\/www.eri.u-tokyo.ac.jp\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.eri.u-tokyo.ac.jp\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.eri.u-tokyo.ac.jp\/en\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/www.eri.u-tokyo.ac.jp\/en\/wp-json\/wp\/v2\/comments?post=2342"}],"version-history":[{"count":4,"href":"https:\/\/www.eri.u-tokyo.ac.jp\/en\/wp-json\/wp\/v2\/posts\/2342\/revisions"}],"predecessor-version":[{"id":2347,"href":"https:\/\/www.eri.u-tokyo.ac.jp\/en\/wp-json\/wp\/v2\/posts\/2342\/revisions\/2347"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.eri.u-tokyo.ac.jp\/en\/wp-json\/wp\/v2\/media\/2343"}],"wp:attachment":[{"href":"https:\/\/www.eri.u-tokyo.ac.jp\/en\/wp-json\/wp\/v2\/media?parent=2342"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.eri.u-tokyo.ac.jp\/en\/wp-json\/wp\/v2\/categories?post=2342"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.eri.u-tokyo.ac.jp\/en\/wp-json\/wp\/v2\/tags?post=2342"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}