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On the Implications of A Priori Constraints in Transdimensional Bayesian Inversion for Continental Lithospheric Layering

机译：关于优先约束对大陆岩石层分层跨维贝叶斯反演的影响

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Abstract > Monte Carlo methods are powerful approaches to solve nonlinear problems and are becoming very popular in Earth sciences. One reason being that, at first glance, no constraints or explicit regularization of model parameters are required. At second glance, one might realize that regularization is done through a prior. The choice of this prior, however, is subjective, and with its choice, unintended or undesired extra information can be injected into the problem. The principal criticism of Bayesian methods is that the prior can be “tuned” in order to get the expected solution. Consequently, detractors of the Bayesian method could easily argue that the solution is influenced by the form of the prior distribution, which choice is subjective. Hence, models obtained with Monte Carlo methods are still highly debated. Here we investigate the influence of a priori constraints (i.e., fixed crustal discontinuities) on the posterior probability distributions of estimated parameters, that is, vertical polarized shear velocity V <sub>SV</sub> and radial anisotropy ξ , in a transdimensional Bayesian inversion for continental lithospheric structure. We follow upon the work of Calò et al. (2016), who jointly inverted converted phases ( P to S ) without deconvolution and surface wave dispersion data, to obtain 1‐D radial anisotropic shear wave velocity profiles in the North American craton. We aim at verifying whether the strong lithospheric layering found in the stable part of the craton is robust with respect to artifacts that might be caused by the methodology used. We test the hypothesis that the observed midlithospheric discontinuities result from (1) fixed crustal discontinuities in the reference model and (2) a fixed V </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><Abstract Type =“main”XML：Lang =“en”XML：ID =“JGRB52383-Abs-Abs-Abs-0001”> <标题类型=“main”>抽象</ title> > Monte Carlo方法是解决的强大方法非线性问题，在地球科学中变得非常受欢迎。一个原因是，首先浏览，没有必需的模型参数的约束或显式正则化。在第二眼上，可能会意识到正规化是通过先前完成的。然而，此之前的选择是主观的，并且可以选择意外或不期望的额外信息可以注入问题。对贝叶斯方法的主要批评是，以前可以是“调整”以获得预期的解决方案。因此，贝叶斯方法的批评者可以很容易地争辩说，该解决方案受到先前分配形式的影响，选择是主观的。因此，用蒙特卡罗方法获得的模型仍然高度讨论。在这里，我们研究了先验约束（即固定地壳不连续性）对估计参数的后验概率分布的影响，即垂直极化剪切速度 v </ i> <sub> sv </ sub>和径向各向异性ξ</ i>，在欧式岩石结构的转模贝叶斯反演中。我们遵循Calò等人的工作。（2016），将转化的相（ P </ i>在没有去卷积和表面波分散数据的情况下，将转化的相（ P </ i>）共同倒置（ p </ i>），以获得北方1-d径向各向异性剪切波速度谱美国克拉顿。我们的目标是验证在稳定的克拉顿稳定部分中发现的强型岩石层分层是否对于可能由所用方法引起的伪影具有鲁棒。我们测试了观察到的中型层间不连续性的假设（1）在参考模型中的固定地壳不连续性和（2）固定的 v </ i> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-34677/'>《Journal of geophysical research. Solid earth: JGR》</a> <b style="margin: 0 2px;">|</b><span>2017年第12期</span><b style="margin: 0 2px;">|</b><span>共14页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Roy C.&option=202" target="_blank" rel="nofollow">Roy C.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Romanowicz B. A.&option=202" target="_blank" rel="nofollow">Romanowicz B. A.;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Berkeley Seismological LaboratoryUniversity of CaliforniaBerkeley CA USA;</p> <p>Berkeley Seismological LaboratoryUniversity of CaliforniaBerkeley CA USA;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/163.html" title="地球物理学">地球物理学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Bayesian inversion&option=203" rel="nofollow">Bayesian inversion;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=lithospheric layering&option=203" rel="nofollow">lithospheric layering;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=midlithospheric discontinuities&option=203" rel="nofollow">midlithospheric discontinuities;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=LAB&option=203" rel="nofollow">LAB;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=North America&option=203" rel="nofollow">North America;</a> </p> <div class="translation"> 机译：贝叶斯反演;岩石层分层;中型层间不连续性;实验室;北美; </div> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li class="active" >外文文献</li> <li >中文文献</li> <li >专利</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704025590912.html">On the Implications of A Priori Constraints in Transdimensional Bayesian Inversion for Continental Lithospheric Layering</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Roy C.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Roy C.,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Romanowicz B. 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Li Chengjin</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=李承瑾&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,李承瑾</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Guo Rongwen&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,Guo Rongwen</a> <span> <a href="/conference-cn-43218/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 第十三届中国国际地球电磁学术讨论会 </a> <span> <span> . 2017</span> </span> </div> </li> <li> <div> <b>7. </b><a class="enjiyixqcontent" href="/academic-degree-domestic_mphd_thesis/020315933161.html">基于宽范围岩石物性约束的MT与重力贝叶斯联合反演</a> <b>[A] </b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=郭曼&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 郭曼</a> <span> . 2018</span> </span> </div> </li> </ul> <ul style="display: none;"> <li> <div> <b>1. </b><a class="enjiyixqcontent" 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