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O modelo direto e dado pela expressao" /> <meta name="robots" content="noindex" /> <title>Inversão de dados de sísmica de refração profunda a partir da curva tempo-distância</title> <link rel="canonical" href="https://www.academia.edu/67115799/Invers%C3%A3o_de_dados_de_s%C3%ADsmica_de_refra%C3%A7%C3%A3o_profunda_a_partir_da_curva_tempo_dist%C3%A2ncia" /> <script async src="https://www.googletagmanager.com/gtag/js?id=G-5VKX33P2DS"></script> <script> window.dataLayer = window.dataLayer || []; function gtag(){dataLayer.push(arguments);} gtag('js', new Date()); gtag('config', 'G-5VKX33P2DS', { cookie_domain: 'academia.edu', send_page_view: false, }); gtag('event', 'page_view', { 'controller': "single_work", 'action': "show", 'controller_action': 'single_work#show', 'logged_in': 'false', 'edge': 'unknown', // Send nil if there is no A/B test bucket, in case some records get logged // with missing data - that way we can distinguish between the two cases. // ab_test_bucket should be of the form <ab_test_name>:<bucket> 'ab_test_bucket': null, }) </script> <script> var $controller_name = 'single_work'; var $action_name = "show"; var $rails_env = 'production'; var $app_rev = 'dc2ad41da5d7ea682babd20f90650302fb0a3a36'; var $domain = 'academia.edu'; var $app_host = "academia.edu"; var $asset_host = "academia-assets.com"; var $start_time = new Date().getTime(); var $recaptcha_key = "6LdxlRMTAAAAADnu_zyLhLg0YF9uACwz78shpjJB"; var $recaptcha_invisible_key = "6Lf3KHUUAAAAACggoMpmGJdQDtiyrjVlvGJ6BbAj"; var $disableClientRecordHit = false; </script> <script> window.require = { config: function() { return function() {} } } </script> <script> window.Aedu = window.Aedu || {}; window.Aedu.hit_data = null; window.Aedu.serverRenderTime = new Date(1739712908000); window.Aedu.timeDifference = new Date().getTime() - 1739712908000; </script> <script type="application/ld+json">{"@context":"https://schema.org","@type":"ScholarlyArticle","abstract":"O trabalho em pauta tem como objetivo o modelamento da crosta, atraves da inversao de dados de refracao sismica profunda, segundo camadas planas horizontais lateralmente homogeneas, sobre um semi-espaco. O modelo direto e dado pela expressao analitica da curva tempo-distância como uma funcao que depende da distância fonte estacao e do vetor de parâmetros velocidades e espessuras de cada camada, calculado segundo as trajetorias do raio sismico, regidas pela Lei de Snell. O calculo dos tempos de chegada por este procedimento exige a utilizacao de um modelo cujas velocidades sejam crescente com a profundidade, de modo que a ocorrencia da camada de baixa velocidade (CBV) e contornada pela reparametrizacao do modelo, levando-se em conta o fato de que o topo da CBV funciona apenas como um refletor do raio sismico, e nao como refrator. A metodologia de inversao utilizada tem em vista nao so a determinacao das solucoes possiveis, mas tambem a realizacao de uma analise sobre as causas responsaveis pela ambiguidade do problema. A regiao de pesquisa das provaveis solucoes e vinculada segundo limites superiores e inferiores para cada parâmetro procurado e pelo estabelecimento de limites superiores para os valores de distâncias criticas, calculadas a partir do vetor de parâmetros. O processo de inversao e feito utilizando-se uma tecnica de otimizacao do ajuste de curvas atraves da busca direta no espaco dos parâmetros, denominado COMPLEX. Esta tecnica apresenta a vantagem de poder ser utiliada com qualquer funcao objeto e ser bastante pratica na obtencao de multiplas solucoes do problema. Devido a curva tempo-distância corresponder ao caso de uma multi-funcao, o algoritmo foi adaptado de modo a minimizar simultaneamente varias funcoes objeto, com vinculos nos parâmetros. A inversao e feita de modo a se obter um conjunto de solucoes representativas do universo existente. Por sua vez, a analise da ambiguidade e realizada pela analise fatorial modo-Q, atraves da qual e possivel se caracterizar as propriedades comuns existentes no elenco das solucoes analisadas. Os testes com dados sinteticos e reais foram feitos tendo como aproximacao inicial ao processo de inversao, os valores de velocidades e espessuras calculados diretamente da interpretacao visual do sismograma. Para a realizacao dos primeiros, utilizou-se sismogramas calculados pelo metodo da refletividade, segundo diferentes modelos. Por sua vez, os testes com dados reais foram realizados utilizando-se dados extraidos de um dos sismogramas coletados pelo projeto Lithospheric Seismic Profile in Britain (LISPB), na regiao norte da Gra-Bretanha. Em todos os testes foi verificado que a geometria do modelo possui um maior peso na ambiguidade do problema, enquanto os parâmetros fisicos apresentam apenas suaves variacoes, no conjunto das solucoes obtidas. ABSTRACT Inversion of deep seismic refraction data through time-distance curve ¾ The aim of this thesis is to obtain crustal model through the inversion of deep seismic refraction data considering lateraly homogeneous horizontal plain layers over a half-space. The direct model is given by analytic expression for the travel-time curve, as a function that depends on the source-station distance and on the array of parameters, formed by velocity and thickness of each layer. The expression is obtained from the trajectory of the seismic ray by Snell\u0026amp;amp;amp;#39;s Law. The calculation of the arrival time for seismic refraction by this method takes into account a model with velocities increasing with depth. The occurrence of low velocity layers (LVL) are solved as a model reparametrization, taking into account the fact that top boundary of the low velocity layer is only a reflector, and not a refractor of seismic waves. The inversion method is used to solve for the possible solutions, and also to perform an analysis about the ambiguity of the problem. The search region of probable solutions is constrained by high and lower limits of each parameter considered, and by high limits of each critical distance, calculated using the array of parameters. The inversion process used is an optimization technique for curve fitting corresponding to a direct search in the parameter space, called COMPLEX. This technique presents the advantage of using any objective function, and as being practical in obtaining different solutions for the problem. As the travel-time curve is a multi-function, the algorithm was adapted to minimize several objective functions simultaneously, with constraints. The inversion process is formulated to obtain a representative group of solutions of the problem. Afterwards, the analysis of ambiguity is made by Q-mode factor analysis, through which is possible to find the common properties of the group of solutions. Tests with synthetic and real data were made having as initial approximation to the inversion process the velocity and thickness values calculated by the straightforward visual interpretation of the…","author":[{"@context":"https://schema.org","@type":"Person","name":"João Carlos Ribeiro Cruz","url":"https://independent.academia.edu/Jo%C3%A3oCarlosRibeiroCruz"}],"contributor":[],"dateCreated":"2022-01-04","dateModified":"2023-01-10","headline":"Inversão de dados de sísmica de refração profunda a partir da curva tempo-distância","image":"https://a.academia-assets.com/images/blank-paper.jpg","inLanguage":"pt","keywords":["Physics"],"publication":"Revista Brasileira de Geofísica","publisher":{"@context":"https://schema.org","@type":"Organization","name":"FapUNIFESP (SciELO)"},"sourceOrganization":[{"@context":"https://schema.org","@type":"EducationalOrganization","name":null}],"thumbnailUrl":"https://a.academia-assets.com/images/blank-paper.jpg","url":"https://www.academia.edu/67115799/Invers%C3%A3o_de_dados_de_s%C3%ADsmica_de_refra%C3%A7%C3%A3o_profunda_a_partir_da_curva_tempo_dist%C3%A2ncia"}</script><style type="text/css">@media(max-width: 567px){:root{--token-mode: Rebrand;--dropshadow: 0 2px 4px 0 #22223340;--primary-brand: #0645b1;--error-dark: #b60000;--success-dark: #05b01c;--inactive-fill: #ebebee;--hover: #0c3b8d;--pressed: #082f75;--button-primary-fill-inactive: #ebebee;--button-primary-fill: #0645b1;--button-primary-text: #ffffff;--button-primary-fill-hover: #0c3b8d;--button-primary-fill-press: #082f75;--button-primary-icon: #ffffff;--button-primary-fill-inverse: #ffffff;--button-primary-text-inverse: #082f75;--button-primary-icon-inverse: #0645b1;--button-primary-fill-inverse-hover: #cddaef;--button-primary-stroke-inverse-pressed: 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O modelo direto e dado pela expressao analitica da curva tempo-distância como uma funcao que depende da distância fonte estacao e do vetor de parâmetros velocidades e espessuras de cada camada, calculado segundo as trajetorias do raio sismico, regidas pela Lei de Snell. O calculo dos tempos de chegada por este procedimento exige a utilizacao de um modelo cujas velocidades sejam crescente com a profundidade, de modo que a ocorrencia da camada de baixa velocidade (CBV) e contornada pela reparametrizacao do modelo, levando-se em conta o fato de que o topo da CBV funciona apenas como um refletor do raio sismico, e nao como refrator. A metodologia de inversao utilizada tem em vista nao so a determinacao das solucoes possiveis, mas tambem a realizacao de uma analise sobre as causas responsaveis pela ambiguidade do problema. A regiao de pesquisa das provaveis solucoes e vinculada segundo limites superiores e inferiores para cada parâmetro procurado e pelo estabelecimento de limites superiores para os valores de distâncias criticas, calculadas a partir do vetor de parâmetros. O processo de inversao e feito utilizando-se uma tecnica de otimizacao do ajuste de curvas atraves da busca direta no espaco dos parâmetros, denominado COMPLEX. Esta tecnica apresenta a vantagem de poder ser utiliada com qualquer funcao objeto e ser bastante pratica na obtencao de multiplas solucoes do problema. Devido a curva tempo-distância corresponder ao caso de uma multi-funcao, o algoritmo foi adaptado de modo a minimizar simultaneamente varias funcoes objeto, com vinculos nos parâmetros. A inversao e feita de modo a se obter um conjunto de solucoes representativas do universo existente. Por sua vez, a analise da ambiguidade e realizada pela analise fatorial modo-Q, atraves da qual e possivel se caracterizar as propriedades comuns existentes no elenco das solucoes analisadas. Os testes com dados sinteticos e reais foram feitos tendo como aproximacao inicial ao processo de inversao, os valores de velocidades e espessuras calculados diretamente da interpretacao visual do sismograma. Para a realizacao dos primeiros, utilizou-se sismogramas calculados pelo metodo da refletividade, segundo diferentes modelos. Por sua vez, os testes com dados reais foram realizados utilizando-se dados extraidos de um dos sismogramas coletados pelo projeto Lithospheric Seismic Profile in Britain (LISPB), na regiao norte da Gra-Bretanha. Em todos os testes foi verificado que a geometria do modelo possui um maior peso na ambiguidade do problema, enquanto os parâmetros fisicos apresentam apenas suaves variacoes, no conjunto das solucoes obtidas. ABSTRACT Inversion of deep seismic refraction data through time-distance curve ¾ The aim of this thesis is to obtain crustal model through the inversion of deep seismic refraction data considering lateraly homogeneous horizontal plain layers over a half-space. The direct model is given by analytic expression for the travel-time curve, as a function that depends on the source-station distance and on the array of parameters, formed by velocity and thickness of each layer. The expression is obtained from the trajectory of the seismic ray by Snell\u0026#39;s Law. The calculation of the arrival time for seismic refraction by this method takes into account a model with velocities increasing with depth. The occurrence of low velocity layers (LVL) are solved as a model reparametrization, taking into account the fact that top boundary of the low velocity layer is only a reflector, and not a refractor of seismic waves. The inversion method is used to solve for the possible solutions, and also to perform an analysis about the ambiguity of the problem. The search region of probable solutions is constrained by high and lower limits of each parameter considered, and by high limits of each critical distance, calculated using the array of parameters. The inversion process used is an optimization technique for curve fitting corresponding to a direct search in the parameter space, called COMPLEX. This technique presents the advantage of using any objective function, and as being practical in obtaining different solutions for the problem. As the travel-time curve is a multi-function, the algorithm was adapted to minimize several objective functions simultaneously, with constraints. The inversion process is formulated to obtain a representative group of solutions of the problem. Afterwards, the analysis of ambiguity is made by Q-mode factor analysis, through which is possible to find the common properties of the group of solutions. Tests with synthetic and real data were made having as initial approximation to the inversion process the velocity and thickness values calculated by the straightforward visual interpretation of the seismograms. For the…","publication_name":"Revista Brasileira de Geofísica"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":null,"language":"pt","title":"Inversão de dados de sísmica de refração profunda a partir da curva tempo-distância","broadcastable":false,"draft":null,"has_indexable_attachment":false,"indexable":true}}["work"]; window.loswp.workCoauthors = [12143756]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "grid"; window.loswp.fullPageMobileSutdModalVariant = "full_page_mobile_sutd_modal"; window.loswp.useOptimizedScribd4genScript = false; window.loginModal = {}; window.loginModal.appleClientId = 'edu.academia.applesignon'; window.userInChina = "false";</script><script defer="" src="https://accounts.google.com/gsi/client"></script><div class="loswp-grid--container"><div data-auto_select="false" data-client_id="331998490334-rsn3chp12mbkiqhl6e7lu2q0mlbu0f1b" data-landing_url="https://www.academia.edu/67115799/Invers%C3%A3o_de_dados_de_s%C3%ADsmica_de_refra%C3%A7%C3%A3o_profunda_a_partir_da_curva_tempo_dist%C3%A2ncia" data-login_uri="https://www.academia.edu/registrations/google_one_tap" data-moment_callback="onGoogleOneTapEvent" id="g_id_onload"></div><div class="above-fold js-swp-splash-above-fold"><div class="work-card--container js-swp-control-work-card" data-entity-id="67115799"><div class="work-cover--wrapper"><div class="work-cover--container"><div class="work-cover--no-attachment-container js-swp-splash-paper-cover"><div class="work-cover--file-icon-wrapper"><img alt="paper cover icon" src="//a.academia-assets.com/images/single_work_splash/adobe.icon.svg" /></div><div class="work-cover--title js-swp-splash-paper-cover-page-title">Inversão de dados de sísmica de refração profunda a partir da curva tempo-distância</div><br /><div style="margin-top: 170px"><button class="work-cover--request-pdf-button js-request-pdf-button"><svg style="width: 14px; margin-right: 8px;" aria-hidden="true" focusable="false" data-prefix="fas" data-icon="envelope" class="svg-inline--fa fa-envelope fa-w-16" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"><path fill="currentColor" d="M502.3 190.8c3.9-3.1 9.7-.2 9.7 4.7V400c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V195.6c0-5 5.7-7.8 9.7-4.7 22.4 17.4 52.1 39.5 154.1 113.6 21.1 15.4 56.7 47.8 92.2 47.6 35.7.3 72-32.8 92.3-47.6 102-74.1 131.6-96.3 154-113.7zM256 320c23.2.4 56.6-29.2 73.4-41.4 132.7-96.3 142.8-104.7 173.4-128.7 5.8-4.5 9.2-11.5 9.2-18.9v-19c0-26.5-21.5-48-48-48H48C21.5 64 0 85.5 0 112v19c0 7.4 3.4 14.3 9.2 18.9 30.6 23.9 40.7 32.4 173.4 128.7 16.8 12.2 50.2 41.8 73.4 41.4z"></path></svg>Request PDF</button></div></div></div></div><div class="work-card--content"><h1 class="work-card--title">Inversão de dados de sísmica de refração profunda a partir da curva tempo-distância</h1><div class="work-card--pub-info">Revista Brasileira de Geofísica</div><a class="js-profile-link work-card--single-author" data-has-card-for-user="12143756" href="https://independent.academia.edu/Jo%C3%A3oCarlosRibeiroCruz?swp=tc-au-67115799"><div class="work-card--single-author-photo"><img class="Avatar--circle s65 Avatar--circle s65 Avatar--xxxs" alt="João Carlos Ribeiro Cruz" shape="circle" border="0" onerror="if (this.src != '//a.academia-assets.com/images/s65_no_pic.png') this.src = '//a.academia-assets.com/images/s65_no_pic.png';" width="65" height="65" src="https://0.academia-photos.com/12143756/3483678/165479866/s65_jo_o_carlos_ribeiro.cruz.jpg" /></div><div class="work-card--author-name-wrapper" style="max-width: 125px; font-weight: 500; color: #4b4b4b;"><div class="u-textTruncate"><span itemprop="author">J. Cruz</span></div></div></a><script data-card-contents-for-user="12143756" type="text/json">{"id":12143756,"first_name":"João Carlos Ribeiro","middle_initials":null,"last_name":"Cruz","page_name":"JoãoCarlosRibeiroCruz","domain_name":"independent","created_at":"2014-05-18T04:50:08.703-07:00","display_name":"João Carlos Ribeiro Cruz","url":"https://independent.academia.edu/Jo%C3%A3oCarlosRibeiroCruz","photo":"https://0.academia-photos.com/12143756/3483678/165479866/s65_jo_o_carlos_ribeiro.cruz.jpg","has_photo":true,"interests":[{"id":337022,"name":"EDP não linear","url":"https://www.academia.edu/Documents/in/EDP_nao_linear"},{"id":361665,"name":"Equações Diferenciais Parciais","url":"https://www.academia.edu/Documents/in/Equa%C3%A7%C3%B5es_Diferenciais_Parciais"},{"id":361668,"name":"Equação Diferencial Parcial Não Linear","url":"https://www.academia.edu/Documents/in/Equacao_Diferencial_Parcial_Nao_Linear"},{"id":337016,"name":"transformada de Legendre","url":"https://www.academia.edu/Documents/in/transformada_de_Legendre"}]}</script><div class="work-card--no-attachment-details"><div style="font-weight: 700; font-size: 14px;">Abstract</div><div class="work-card--abstract js-swp-splash-abstract">O trabalho em pauta tem como objetivo o modelamento da crosta, atraves da inversao de dados de refracao sismica profunda, segundo camadas planas horizontais lateralmente homogeneas, sobre um semi-espaco. O modelo direto e dado pela expressao analitica da curva tempo-distância como uma funcao que depende da distância fonte estacao e do vetor de parâmetros velocidades e espessuras de cada camada, calculado segundo as trajetorias do raio sismico, regidas pela Lei de Snell. O calculo dos tempos de chegada por este procedimento exige a utilizacao de um modelo cujas velocidades sejam crescente com a profundidade, de modo que a ocorrencia da camada de baixa velocidade (CBV) e contornada pela reparametrizacao do modelo, levando-se em conta o fato de que o topo da CBV funciona apenas como um refletor do raio sismico, e nao como refrator. A metodologia de inversao utilizada tem em vista nao so a determinacao das solucoes possiveis, mas tambem a realizacao de uma analise sobre as causas responsaveis pela ambiguidade do problema. A regiao de pesquisa das provaveis solucoes e vinculada segundo limites superiores e inferiores para cada parâmetro procurado e pelo estabelecimento de limites superiores para os valores de distâncias criticas, calculadas a partir do vetor de parâmetros. O processo de inversao e feito utilizando-se uma tecnica de otimizacao do ajuste de curvas atraves da busca direta no espaco dos parâmetros, denominado COMPLEX. Esta tecnica apresenta a vantagem de poder ser utiliada com qualquer funcao objeto e ser bastante pratica na obtencao de multiplas solucoes do problema. Devido a curva tempo-distância corresponder ao caso de uma multi-funcao, o algoritmo foi adaptado de modo a minimizar simultaneamente varias funcoes objeto, com vinculos nos parâmetros. A inversao e feita de modo a se obter um conjunto de solucoes representativas do universo existente. Por sua vez, a analise da ambiguidade e realizada pela analise fatorial modo-Q, atraves da qual e possivel se caracterizar as propriedades comuns existentes no elenco das solucoes analisadas. Os testes com dados sinteticos e reais foram feitos tendo como aproximacao inicial ao processo de inversao, os valores de velocidades e espessuras calculados diretamente da interpretacao visual do sismograma. Para a realizacao dos primeiros, utilizou-se sismogramas calculados pelo metodo da refletividade, segundo diferentes modelos. Por sua vez, os testes com dados reais foram realizados utilizando-se dados extraidos de um dos sismogramas coletados pelo projeto Lithospheric Seismic Profile in Britain (LISPB), na regiao norte da Gra-Bretanha. Em todos os testes foi verificado que a geometria do modelo possui um maior peso na ambiguidade do problema, enquanto os parâmetros fisicos apresentam apenas suaves variacoes, no conjunto das solucoes obtidas. ABSTRACT Inversion of deep seismic refraction data through time-distance curve ¾ The aim of this thesis is to obtain crustal model through the inversion of deep seismic refraction data considering lateraly homogeneous horizontal plain layers over a half-space. The direct model is given by analytic expression for the travel-time curve, as a function that depends on the source-station distance and on the array of parameters, formed by velocity and thickness of each layer. The expression is obtained from the trajectory of the seismic ray by Snell&#39;s Law. The calculation of the arrival time for seismic refraction by this method takes into account a model with velocities increasing with depth. The occurrence of low velocity layers (LVL) are solved as a model reparametrization, taking into account the fact that top boundary of the low velocity layer is only a reflector, and not a refractor of seismic waves. The inversion method is used to solve for the possible solutions, and also to perform an analysis about the ambiguity of the problem. The search region of probable solutions is constrained by high and lower limits of each parameter considered, and by high limits of each critical distance, calculated using the array of parameters. The inversion process used is an optimization technique for curve fitting corresponding to a direct search in the parameter space, called COMPLEX. This technique presents the advantage of using any objective function, and as being practical in obtaining different solutions for the problem. As the travel-time curve is a multi-function, the algorithm was adapted to minimize several objective functions simultaneously, with constraints. The inversion process is formulated to obtain a representative group of solutions of the problem. Afterwards, the analysis of ambiguity is made by Q-mode factor analysis, through which is possible to find the common properties of the group of solutions. Tests with synthetic and real data were made having as initial approximation to the inversion process the velocity and thickness values calculated by the straightforward visual interpretation of the seismograms. For the…</div></div><div class="request-upload--container"><p class="request-upload--title">João Carlos Ribeiro Cruz hasn't uploaded this paper.</p><div class="request-upload--info-text"><svg aria-hidden="true" focusable="false" data-prefix="fas" data-icon="info-circle" class="request-upload--info-icon svg-inline--fa fa-info-circle fa-w-16" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"><path fill="currentColor" d="M256 8C119.043 8 8 119.083 8 256c0 136.997 111.043 248 248 248s248-111.003 248-248C504 119.083 392.957 8 256 8zm0 110c23.196 0 42 18.804 42 42s-18.804 42-42 42-42-18.804-42-42 18.804-42 42-42zm56 254c0 6.627-5.373 12-12 12h-88c-6.627 0-12-5.373-12-12v-24c0-6.627 5.373-12 12-12h12v-64h-12c-6.627 0-12-5.373-12-12v-24c0-6.627 5.373-12 12-12h64c6.627 0 12 5.373 12 12v100h12c6.627 0 12 5.373 12 12v24z"></path></svg><p class="no-margin hide-on-small-mobile">Let João Carlos Ribeiro know you want this paper to be uploaded.</p><p class="no-margin hide-above-small-mobile">Ask for this paper to be uploaded.</p></div><button class="work-cover--request-pdf-button small js-request-pdf-button hide-on-desktop"><svg style="width: 14px; 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