Estimation of Full Moment Tensors, Including Uncertainties, for Nuclear Explosions, Volcanic Events, and Earthquakes

机译：估计全矩张于核心，包括不确定性，核爆炸，火山事件和地震

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Abstract > A seismic moment tensor is a 3 × 3 symmetric matrix that provides a compact representation of a seismic source. We develop an algorithm to estimate moment tensors and their uncertainties from observed seismic data. For a given event, the algorithm performs a grid search over the six‐dimensional space of moment tensors by generating synthetic waveforms for each moment tensor and then evaluating a misfit function between the observed and synthetic waveforms. “The” moment tensor M <sub>0</sub> for the event is then the moment tensor with minimum misfit. To describe the uncertainty associated with M <sub>0</sub> , we first convert the misfit function to a probability function. The uncertainty, or rather the confidence, is then given by the “confidence curve” <mat:math display="inline" altimg="urn:x-wiley:jgrb:media:jgrb52775:jgrb52775-math-0001" wiley:location="equation/jgrb52775-math-0001.png"> <mat:mi>??</mat:mi> <mat:mo stretchy="false">(</mat:mo> <mat:mi>V</mat:mi> <mat:mo stretchy="false">)</mat:mo> </mat:math> , where <mat:math display="inline" altimg="urn:x-wiley:jgrb:media:jgrb52775:jgrb52775-math-0002" wiley:location="equation/jgrb52775-math-0002.png"> <mat:mi>??</mat:mi> <mat:mo stretchy="false">(</mat:mo> <mat:mi>V</mat:mi> <mat:mo stretchy="false">)</mat:mo> </mat:math> is the probability that the true moment tensor for the event lies within a certain neighborhood of M that has fractional volume? V . The area under the confidence curve provides a single, abbreviated “confidence parameter” for M <sub>0</sub> . We apply the method to </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 =“JGRB52775-Abs-Abs-0001”> <标题类型=“main”>抽象</ title> >地震矩张量是3× 3个对称矩阵，其提供地震源的紧凑表示。我们开发了一种算法来估算瞬间张量及其来自观察到地震数据的不确定性。对于给定的事件，该算法通过为每个时刻张量生成合成波形，然后在观察和合成波形之间评估错入函数来执行六维张量的六维空间上的网格搜索。 “”时刻张量 m </ i> <sub> 0 </ sub>对于事件，那么那时张量最小的浪费。要描述与 m </ i> <sub> 0 </ sub>相关联的不确定性，我们首先将错误的函数转换为概率函数。 “置信曲线”<mat：数学显示=“内联”Altimg =“URN：X-Wiley：JGRB：媒体：JGRB52775：JGRB52775-Math-0001”Wiley：Location：位置=“等式/ JGRB52775-Math-0001.png”> <mat：mi> ?? </ mat：mi> <mat：mo stractry =“false”>（</ mat：mo> <mat：mi> v < / mat：mi> <mat：mo stractry =“false”>）</ mat：mo> </ mat：math>，其中<mat：math display =“内联”Altimg =“URN：X-Wiley：JGRB：媒体：JGRB52775：JGRB52775-Math-0002“Wiley：Location =”Aquation / JGRB52775-Math-0002.png“> <mat：Mi> ?? </ MAT：MI> <MAT：MO Artringy =”假“>（ </ mat：mo> <mat：mi> v </ mat：mi> <mat：mo stractry =“假”>）</ mat：mo> </ mat：math>是真实时刻张量的概率该事件在于 m </ i>的某个邻域内，具有分数卷？ v </ i>。置信度曲线下的区域为 m </ i> 0 </ sub>提供了单个缩写的“置信度参数”。我们将方法应用于 </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6期</span><b style="margin: 0 2px;">|</b><span>共21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=Alvizuri Celso&option=202" target="_blank" rel="nofollow">Alvizuri Celso;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Silwal Vipul&option=202" target="_blank" rel="nofollow">Silwal Vipul;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Krischer Lion&option=202" target="_blank" rel="nofollow">Krischer Lion;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Tape Carl&option=202" target="_blank" rel="nofollow">Tape Carl;</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>Geophysical Institute and Department of GeosciencesUniversity of Alaska FairbanksFairbanks AK USA;</p> <p>Geophysical Institute and Department of GeosciencesUniversity of Alaska FairbanksFairbanks AK USA;</p> <p>Institut für GeophysikETH ZürichZürich Switzerland;</p> <p>Geophysical Institute and Department of GeosciencesUniversity of Alaska FairbanksFairbanks AK 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=seismic moment tensor&option=203" rel="nofollow">seismic moment tensor;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=uncertainties&option=203" rel="nofollow">uncertainties;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=nuclear explosions&option=203" rel="nofollow">nuclear explosions;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=inverse problems&option=203" rel="nofollow">inverse problems;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=seismic source studies&option=203" rel="nofollow">seismic source studies;</a> </p> <div class="translation"> 机译：地震时刻张量;不确定性;核爆炸;逆问题;地震源研究; </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/0704025591805.html">Estimation of Full Moment Tensors, Including Uncertainties, for Nuclear Explosions, Volcanic Events, and Earthquakes</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Alvizuri Celso&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Alvizuri Celso,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Silwal Vipul&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Silwal Vipul,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Krischer Lion&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Krischer Lion,</a> <a href="/journal-foreign-34677/" target="_blank" rel="nofollow" class="tuijian_authcolor">Journal of geophysical research. 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href="/patent-detail/06130435297656.html">METHOD FOR LONG-RANGE FORECASTING GEOPHYSICAL EVENTS (FOR EARTHQUAKE, VOLCANIC ERUPTION) AND THE WEATHER</a> <b>[P]</b> . <span> 外国专利：  HU0600152A2 </span> <span> . 2007-07-30</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：大范围预测地球物理事件（地震，火山爆发）和天气的方法 </span> </p> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/patent-detail/06130437757961.html">METHOD FOR LONG-RANGE FORECASTING GEOPHYSICAL EVENTS (FOR EARTHQUAKE, VOLCANIC ERUPTION) AND THE WEATHER</a> <b>[P]</b> . <span> 外国专利：  HU0600152D0 </span> <span> . 2006-04-28</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：大范围预测地球物理事件（地震，火山爆发）和天气的方法 </span> </p> </li> </ul> </div> </div> </div> <div class="theme cardcommon" 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