Hamiltonian Monte Carlo Inversion of Seismic Sources in Complex Media

Fichtner Andreas; Simut? Saule

摘要

Abstract >We present a probabilistic seismic point source inversion, taking into account 3‐D heterogeneous Earth structure. Our method rests on (1) reciprocity and numerical wavefield simulations in complex media and (2) Hamiltonian Monte Carlo sampling that requires only a small amount of test models to provide reliable uncertainty information on the timing, location, and mechanism of the source. Using spectral element simulations of 3‐D, viscoelastic, anisotropic wave propagation, we precompute receiver side strain tensors in time and space. This enables the fast computation of synthetic seismograms for any hypothetical source within the volume of interest, and thus a Bayesian solution of the inverse problem. To improve efficiency, we developed a variant of Hamiltonian Monte Carlo sampling. Taking advantage of easily computable derivatives, numerical examples indicate that Hamiltonian Monte Carlo can converge to the posterior probability density with orders of magnitude less samples than the derivative‐free Metropolis‐Hastings algorithm, which we use for benchmarking. Exact numbers depend on observational errors and the quality of the prior. We apply our method to the Japanese Islands region where we previously constrained 3‐D structure of the crust and upper mantle using full‐waveform inversion with a minimum period of 15?s. </abstract> </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 =“JGRB52630-Abs-Abs-0001”> <标题类型=“main”>抽象</ title> >我们提出了概率的地震点源反转，考虑到3-D异构地球结构。我们的方法依靠（1）复杂媒体的互惠和数值波场模拟，（2）Hamiltonian Monte Carlo采样，只需要少量的测试模型，以提供关于源的定时，位置和机制的可靠的不确定性信息。使用3-D的光谱元素模拟，粘弹性，各向异性波传播，我们在时间和空间中预先编译接收器侧应变张量。这使得能够在感兴趣的体积内进行任何假设源的合成地震图的快速计算，因此是逆问题的贝叶斯解。为了提高效率，我们开发了汉密尔顿蒙特卡罗采样的变种。利用易于计算的衍生品，数值示例表明HamiltonIn Monte Carlo可以收敛到后验概率密度，其样品的数量级比无衍生的Metropolis-Hastings算法，我们用于基准测试。确切的数字取决于观察错误和先前的质量。我们将我们的方法应用于日本岛屿区域，在其中我们之前使用全波形反转来限制了地壳和上部地幔的三维结构，最小为15？s。</ p> </ abstract> </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>2018年第4期</span><b style="margin: 0 2px;">|</b> <span>共16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=Fichtner Andreas&option=202" target="_blank" rel="nofollow">Fichtner Andreas;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Simut? Saule&option=202" target="_blank" rel="nofollow">Simut? Saule;</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>Institute of GeophysicsETH ZurichZurich Switzerland;</p> <p>Institute of GeophysicsETH ZurichZurich Switzerland;</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=seismology&option=203" rel="nofollow">seismology;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=seismic source&option=203" rel="nofollow">seismic source;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=inverse theory&option=203" rel="nofollow">inverse theory;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Monte Carlo methods&option=203" rel="nofollow">Monte Carlo methods;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Bayesian inference&option=203" rel="nofollow">Bayesian inference;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=moment tensor&option=203" rel="nofollow">moment tensor;</a> </p> <div class="translation"> 机译：地震学;地震源;反对理论;蒙特卡罗方法;贝叶斯推理;矩张量; 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Weber </a> <span>1991</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：用于均匀和非均匀介质和源分布的spECT成像的蒙特卡罗模拟代码。</span> </p> </li> </ul> <ul style="display: none;"> <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/academic-journal-cn_detail_thesis/0201295740912.html">中子引起的单粒子反转截面的Monte Carlo模拟计算</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=李华&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 李华</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=牛胜利&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,牛胜利</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=李原春&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,李原春</a> <span> <a href="/journal-cn-57258/" target="_blank" rel="nofollow" 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href="/academic-degree-domestic_mphd_thesis/020314540888.html">自适应的Monte Carlo方法对具有共同光滑函数类的信息基复杂性</a> <b>[A] </b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=周慧燕&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 周慧燕</a> <span> . 2012</span> </span> </div> </li> </ul> <ul style="display: none;"> <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/patent-detail/061203228571.html">一种适于研究ZnMgO/ZnO异质结中合金群散射的Monte Carlo模拟方法</a> <b>[P]</b> . <span> 中国专利： CN106682400B </span> <span> . 2019.03.12</span> </div> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/patent-detail/06120109180120.html">一种适于研究ZnMgO/ZnO异质结中合金群散射的Monte Carlo模拟方法</a> <b>[P]</b> . <span> 中国专利： CN106682400A </span> <span> . 2017-05-17</span> </div> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/patent-detail/06130438397655.html">Monte Carlo ion implantation simulation method, Monte Carlo ion implantation simulator, recording medium storing a Monte Carlo ion implantation simulation program, and semiconductor device manufacturing method</a> <b>[P]</b> . <span> 外国专利：  JP3787060B2 </span> <span> . 2006-06-21</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：蒙特卡洛离子注入模拟方法，蒙特卡洛离子注入模拟器，存储有蒙特卡洛离子注入模拟程序的记录介质以及半导体装置的制造方法 </span> </p> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/patent-detail/06130447334919.html">MONTE CARLO ION IMPLANTATION SIMULATION METHOD, MONTE CARLO ION IMPLANTATION SIMULATOR, STORAGE MEDIUM WITH MONTE CARLO ION IMPLANTATION SIMULATION PROGRAM STORED THEREON AND MANUFACTURING METHOD OF SEMICONDUCTOR DEVICE</a> <b>[P]</b> . <span> 外国专利：  JP2002093737A </span> <span> . 2002-03-29</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：蒙特卡洛离子注入仿真方法，蒙特卡洛离子注入仿真器，存储有蒙特卡洛离子注入仿真程序的存储介质以及半导体装置的制造方法 </span> </p> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/patent-detail/06130402825030.html">BEAM INVERSION BY MONTE CARLO BACK PROJECTION</a> <b>[P]</b> . <span> 外国专利：  EP2972506B1 </span> <span> . 2020-04-22</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：蒙特卡洛反投影进行光束反演 </span> </p> </li> </ul> </div> </div> </div> <div class="theme cardcommon" style="overflow: auto;display:none"> <h3 class="all_title" id="enpatent55">相关主题</h3> <ul id="subject"> </ul> </div> </div> </div> </div> <div class="right rightcon"> <div class="details_img cardcommon clearfix" style="margin-bottom: 10px;display:none;" > </div> </div> </div> <div id="thesis_get_original1" class="downloadBth" style="bottom: 19px;z-index: 999;" onclick="ywcd('0704025591645','4',7,2,1,'',this,24)" class="delivery" 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