Estimating network effect in geocenter motion: Theory

机译：估算地理位置运动中的网络效应：理论

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Abstract > Geophysical models and their interpretations of several processes of interest, such as sea level rise, postseismic relaxation, and glacial isostatic adjustment, are intertwined with the need to realize the International Terrestrial Reference Frame. However, this realization needs to take into account the geocenter motion, that is, the motion of the center of figure of the Earth surface, due to, for example, deformation of the surface by earthquakes or hydrological loading effects. Usually, there is also a discrepancy, known as the network effect, between the theoretically convenient center of figure and the physically accessible center of network frames, because of unavoidable factors such as uneven station distribution, lack of stations in the oceans, disparity in the coverage between the two hemispheres, and the existence of tectonically deforming zones. Here we develop a method to estimate the magnitude of the network effect, that is, the error introduced by the incomplete sampling of the Earth surface, in measuring the geocenter motion, for a network of space geodetic stations of a fixed size N . For this purpose, we use, as our proposed estimate, the standard deviations of the changes in Helmert parameters measured by a random network of the same size <fi>N</fi> . We show that our estimate scales as <mat:math display="inline" altimg="urn:x-wiley:jgrb:media:jgrb52244:jgrb52244-math-0001" wiley:location="equation/jgrb52244-math-0001.png"> <mat:mn>1</mat:mn> <mat:mo>/</mat:mo> <mat:msqrt> <mat:mrow> <mat:mi>N</mat:mi> </mat:mrow> </mat:msqrt> </mat:math> and give an explicit formula for it in terms of the vector spherical harmonics expansion of the displacement field. In a complementary paper we a </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：ID =“JGRB52244-Abs-Abs-Abs-0001”> <标题类型=“main”>抽象</ title> >地球物理模型及其对几个兴趣进程的解释，如海平面崛起，后发后，冰川等静电调整，与实现国际陆地参考框架的需要交织在一起。然而，这种实现需要考虑地理位置运动，即地球表面的形象中心的运动，这是由于例如地震或水文载荷效应的变形。通常，也存在差异，称为网络效果，在理论上方便的数字中心和物理上可访问的网络帧中心之间，因为不可避免的因素，如不平衡的站点分布，海洋中缺乏车站，差距两个半球之间的覆盖范围，以及构造变形区域的存在。在这里，我们开发一种方法来估计网络效果的幅度，即由地球表面的不完全采样引入的误差，用于测量地理位置运动，用于固定尺寸 n的空间大地电台网络</ i>。为此目的，我们使用的是我们所提出的估计，通过相同大小的随机网络测量的Helmert参数的变化的标准偏差<fi> n </ fi>。我们展示我们的估算量表为<mat：数学显示=“内联”Altimg =“URN：X-Wiley：JGRB：媒体：JGRB52244：JGRB52244-Math-0001”Wiley：Location =“等式/ JGRB52244-Math-0001。 PNG“> <MAT：MN> 1 </ MAT：Mn> <MAT：MO> / </ MAT：MO> <MAT：MSQRT> <MAT：MROW> <MAT：MI> N </ MAT：MI> < / MAT：MROW> </ MAT：MSQRT> </ MAT：MATH>，并在位移场的矢量球面谐波扩展方面给出明确的公式。在一个互补的纸上我们 </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10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=Zannat Umma Jamila&option=202" target="_blank" rel="nofollow">Zannat Umma Jamila;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Tregoning Paul&option=202" target="_blank" rel="nofollow">Tregoning Paul;</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>Research School of Earth SciencesAustralian National UniversityCanberra ACT Australia;</p> <p>Research School of Earth SciencesAustralian National UniversityCanberra ACT Australia;</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=network effect&option=203" rel="nofollow">network effect;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=geocenter motion&option=203" rel="nofollow">geocenter motion;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=geodesy&option=203" rel="nofollow">geodesy;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=reference frame&option=203" rel="nofollow">reference frame;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=coseismic deformation&option=203" rel="nofollow">coseismic deformation;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=hydrological loading&option=203" rel="nofollow">hydrological loading;</a> </p> <div class="translation"> 机译：网络效果;地理传播运动;大地测量;参考框架;电影变形;水文载荷; </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/0704020651552.html">Estimating network effect in geocenter motion: Theory</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Zannat Umma Jamila&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Zannat Umma Jamila,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Tregoning Paul&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Tregoning Paul </a> <a href="/journal-foreign-34656/" target="_blank" rel="nofollow" class="tuijian_authcolor">Journal of Geophysical Research. 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