Evaluating the Influence of Plate Boundary Friction and Mantle Viscosity on Plate Velocities

Osei Tutu A.; Sobolev S. V.; Steinberger B.; Popov A. A.; Rogozhina I.

摘要

Abstract > Lithospheric plates move over the low‐viscosity asthenosphere balancing several forces, which generate plate motions. We use a global 3‐D lithosphere‐asthenosphere model (SLIM3D) with visco‐elasto‐plastic rheology coupled to a spectral model of mantle flow at 300 km depth to quantify the influence of intra‐plate friction and asthenospheric viscosity on plate velocities. We account for the brittle‐ductile deformation at plate boundaries (yield stress) using a plate boundary friction coefficient to predict the present‐day plate motion and net rotation of the lithospheric plates. Previous modeling studies have suggested that small friction coefficients ( <mat:math display="inline" altimg="urn:x-wiley:15252027:media:ggge21498:ggge21498-math-0001" wiley:location="equation/ggge21498-math-0001.png"> <mat:mrow> <mat:mi>μ</mat:mi> <mat:mo></mat:mo> <mat:mn>0.1</mat:mn> </mat:mrow> </mat:math> , yield stress <mat:math display="inline" altimg="urn:x-wiley:15252027:media:ggge21498:ggge21498-math-0002" wiley:location="equation/ggge21498-math-0002.png"> <mat:mrow> <mat:mo>～</mat:mo> <mat:mo>?</mat:mo> <mat:mn>100</mat:mn> </mat:mrow> </mat:math> MPa) can lead to plate tectonics in models of mantle convection. Here we show that in order to match the observed present‐day plate motion and net rotation, the frictional parameter must be less than 0.05. We obtain a good fit with the magnitude and orientation of the observed plate velocities (NUVEL‐1A) in a no‐net‐rotation (NNR) reference frame with <mat:math display="inline" altimg="urn:x-wiley:15252027:media:ggge21498:ggge21498-math-0003" wiley:location="equation/ggge21498-math-0003.png"> <mat:mrow> <mat:mi>μ</mat:mi> <mat:mo></mat:mo> <mat:mn>0.05</mat:mn> </mat:mrow> </mat:math> and a minimum asthenosphere viscosity of <mat:math display="inline" altimg="urn:x-wiley:15252027:media:ggge21498:ggge21498-math-0004" wiley:location="equation/ggge21498-math-0004.png"> <mat:mrow> <mat:mo>～</mat:mo> <mat:mo>?</mat:mo> <mat:mn>5</mat:mn> <mat:mo>·</mat:mo> <mat:msup> <mat:mrow> <mat:mn>10</mat:mn> </mat:mrow> <mat:mrow> <mat:mn>19</mat:mn> </mat:mrow> </mat:msup> </mat:mrow> </mat:math> Pas to 10 20 Pas. Our estimates of net rotation (NR) of the lithosphere suggest that amplitudes <mat:math display="inline" altimg="urn:x-wiley:15252027:media:ggge21498:ggge21498-math-0005" wiley:location="equation/ggge21498-math-0005.png"> <mat:mrow> <mat:mo>～</mat:mo> <mat:mo>?</mat:mo> <mat:mn>0.1</mat:mn> <mat:mo>?</mat:mo> <mat:mn>0.2</mat:mn> </mat:mrow> </mat:math> ( <mat:math display="inline" altimg="urn:x-wiley:15252027:media:ggge21498:ggge21498-math-0006" wiley:location="equation/ggge21498-math-0006.png"> <mat:mrow> <mat:mo>°</mat:mo> </mat:mrow> </mat:math> /Ma), similar to most observation‐based estimates, can be obtained with asthenosphere viscosity cutoff values of <mat:math display="inline" altimg="urn:x-wiley:15252027:media:ggge21498:ggge21498-math-0007" wiley:location="equation/ggge21498-math-0007.png"> <mat:mrow> <mat:mo>～</mat:mo> <mat:mo>?</mat:mo> <mat:msup> <mat:mrow> </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”> <标题类型=“main”>抽象</ title> > 岩性板在低粘度的近粘度平衡几个力的情况下移动，这是产生板运动的近几种力。我们使用全球3-D岩石圈 - 哮喘的岩石圈模型（SLIM3D）与粘型塑料流变学，耦合到300公里深度的披风式流动的光谱模型，以量化板内摩擦和抑制粘度在板速度上的影响。我们考虑了使用板边界摩擦系数的板边界（屈服应力）的脆性延展变形，以预测本日板运动和岩石螺旋状板的净旋转。以前的建模研究表明小摩擦系数（ <mat：数学显示=“内联”Altimg =“URN：X-Wiley：15252027：媒体：GGGE21498：GGGE21498-Math-0001”Wiley：Location =“等式/ GGGE21498-Math-0001.png”> <MAT：MROW> <MAT：MI>μ</ MAT：MI> <mat：mo>＆ </ mat：mo> <MAT：MN> 0.1 </ MAT：MN> </ mat：MROW> </ mat：math> ，屈服压力 <mat：数学显示=“内联”Altimg =“URN：X-Wiley：15252027：媒体：GGGE21498：GGGE21498-Math-0002”Wiley：location =“等式/ ggge21498-math-0002.png”> <MAT：MROW> <mat：mo>〜</ mat：mo> <mat：mo>？</ mat：mo> <MAT：MN> 100 </ MAT：Mn> </ mat：MROW> </ mat：math> MPA）可以导致板块对流模型中的板构造。在这里，我们表明，为了匹配观察到的本日板运动和净旋转，摩擦参数必须小于0.05。我们在无净旋转（NNR）参考框架中，通过观察板速度（NUVEL-1A）的幅度和取向获得良好的拟合 <mat：数学显示=“内联”Altimg =“URN：X-Wiley：15252027：媒体：GGGE21498：GGGE21498-Math-0003”Wiley：Location =“等式/ GGGE21498-Math-0003.png”> <MAT：MROW> <MAT：MI>μ</ MAT：MI> <mat：mo>＆ </ mat：mo> <MAT：MN> 0.05 </ mat：Mn> </ mat：MROW> </ mat：math> 和最小的哮喘剧烈粘度 <mat：数学显示=“内联”Altimg =“URN：X-Wiley：15252027：媒体：GGGE21498：GGGE21498-Math-0004”Wiley：Location =“等式/ GGGE21498-Math-0004.png”> <MAT：MROW> <mat：mo>〜</ mat：mo> <mat：mo>？</ mat：mo> <MAT：MN> 5 </ MAT：MN> <MAT：MO>·</ MAT：MO> <mat：msup> <MAT：MROW> <MAT：MN> 10 </ MAT：Mn> </ mat：MROW> <MAT：MROW> <MAT：MN> 19 </ MAT：MN> </ mat：MROW> </ mat：msup> </ mat：MROW> </ mat：math> PA到10 20 </ sup> PAS。我们对岩石圈净旋转（NR）的估计表明幅度 <mat：数学显示=“内联”Altimg =“URN：X-Wiley：15252027：媒体：GGGE21498：GGGE21498-Math-0005”Wiley：Location =“等式/ GGGE21498-Math-0005.png”> <MAT：MROW> <mat：mo>〜</ mat：mo> <mat：mo>？</ mat：mo> <MAT：MN> 0.1 </ MAT：MN> <mat：mo>？</ mat：mo> <MAT：Mn> 0.2 </ mat：Mn> </ mat：MROW> </ mat：math> （ <MAT：数学显示=“内联”Altimg =“URN：X-Wiley：15252027：媒体：GGGE21498：GGGE21498-Math-0006”Wiley：Location =“等式/ GGGE21498-Math-0006.png”> <MAT：MROW> <mat：mo>°</ mat：mo> </ mat：MROW> </ mat：math> / ma）类似于基于大多数基于观察的估计，可以通过哮喘粘度截止值获得 <mat：数学显示=“内联”Altimg =“URN：X-Wiley：15252027：媒体：GGGE21498：GGGE21498-Math-0007”Wiley：Location =“等式/ GGGE21498-Math-0007.png”> <MAT：MROW> <mat：mo>〜</ mat：mo> <mat：mo>？</ mat：mo> <mat：msup> <MAT：MROW> </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-23285/'>《Geochemistry, geophysics, geosystems》</a> <b style="margin: 0 2px;">|</b><span>2018年第3期</span><b style="margin: 0 2px;">|</b><span>共25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=Osei Tutu A.&option=202" target="_blank" rel="nofollow">Osei Tutu A.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Sobolev S. V.&option=202" target="_blank" rel="nofollow">Sobolev S. V.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Steinberger B.&option=202" target="_blank" rel="nofollow">Steinberger B.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Popov A. A.&option=202" target="_blank" rel="nofollow">Popov A. A.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Rogozhina I.&option=202" target="_blank" rel="nofollow">Rogozhina I.;</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>GFZ German Research Centre for GeosciencesPotsdam Germany;</p> <p>GFZ German Research Centre for GeosciencesPotsdam Germany;</p> <p>GFZ German Research Centre for GeosciencesPotsdam Germany;</p> <p>Institute of GeosciencesJohann Gutenberg UniversityMainz Germany;</p> <p>GFZ German Research Centre for GeosciencesPotsdam Germany;</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=lithosphere‐asthenosphere coupling with mantle convection&option=203" rel="nofollow">lithosphere‐asthenosphere coupling with mantle convection;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=upper mantle rheology&option=203" rel="nofollow">upper mantle rheology;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=lithosphere net rotation&option=203" rel="nofollow">lithosphere net rotation;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=plate motion&option=203" rel="nofollow">plate motion;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=plate boundary friction&option=203" rel="nofollow">plate boundary friction;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=water content in asthenosphere&option=203" rel="nofollow">water content in asthenosphere;</a> </p> <div class="translation"> 机译：岩石圈 - 哮喘圈耦合与地幔对流;上部地幔流变学;岩石圈净旋转;板式运动;板边界摩擦;近腔间含水量; </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/0704023360749.html">Evaluating the Influence of Plate Boundary Friction and Mantle Viscosity on Plate Velocities</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Osei Tutu A.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Osei Tutu A.,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Sobolev S. 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class="tuijian_auth tuijian_authcolor"> . 李娜</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=南黄河&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,南黄河</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=何冰&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,何冰</a> <span> <a href="/journal-cn-8158/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 轻合金加工技术 </a> </span> <span> . 2017</span><span>,第010期</span> </span> </div> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/academic-journal-cn_journal-beijing-information-science-technology-university_thesis/020127684858.html">一种基于速度衰减的锥板粘度测量方法</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=文明&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 文明</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=祝连庆&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,祝连庆</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=董明利&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,董明利</a> <span> <a href="/journal-cn-7399/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 北京信息科技大学学报（自然科学版） </a> </span> <span> . 2005</span><span>,第001期</span> </span> </div> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/academic-journal-cn_detail_thesis/0201295365939.html">具有摩擦支承边界的非线性板,梁结构的阻尼特性分析</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=任勇生&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 任勇生</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=刁朴&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,刁朴</a> <span> <a href="/journal-cn-57102/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 工程力学 </a> </span> <span> . 1996</span><span>,第A02期</span> </span> </div> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/academic-journal-cn_journal-jilin-forestry-university_thesis/0201298400313.html">亚麻屑碎料板密度对板芯层升温速度的影响</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=杨庚&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 杨庚</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=张士成&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,张士成</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=沈玉英&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,沈玉英</a> <span> <a href="/journal-cn-50110/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 吉林林学院学报 </a> </span> <span> . 1995</span><span>,第4期</span> </span> </div> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/academic-journal-cn_mechanical-science-technology-aerospace-engineering_thesis/0201224647122.html">摩擦圆辊直径与摩擦包角对板成形摩擦系数测量的影响</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=徐岩&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 徐岩</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=李泷杲&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,李泷杲</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=高霖&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,高霖</a> <span> <a href="/journal-cn-8240/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 机械科学与技术 </a> </span> <span> . 2008</span><span>,第003期</span> </span> </div> </li> <li> <div> <b>6. </b><a class="enjiyixqcontent" href="/academic-conference-cn_meeting-34945_thesis/020221211196.html">具有摩擦支承边界的非线性板、梁结构的阻尼特性分析</a> <b>[C]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=任勇生&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 任勇生</a> <span> <a href="/conference-cn-34945/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 第五届全国结构工程学术会议 </a> <span> <span> . 1996</span> </span> </div> </li> <li> <div> <b>7. </b><a class="enjiyixqcontent" href="/academic-degree-domestic_mphd_thesis/02031166865.html">边界温度对二维梯度材料板冷却瞬态应力场影响</a> <b>[A] </b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=杨佳佳&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 杨佳佳</a> <span> . 2015</span> </span> </div> </li> </ul> <ul style="display: none;"> <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/patent-detail/061204080106.html">一种掩膜板微尘影响评估方法和系统</a> <b>[P]</b> . <span> 中国专利： CN107632495B </span> <span> . 2020.11.03</span> </div> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/patent-detail/06120110139428.html">一种掩膜板微尘影响评估方法和系统</a> <b>[P]</b> . <span> 中国专利： CN107632495A </span> <span> . 2018-01-26</span> </div> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/patent-detail/06130424291164.html">Coolant inlet connecting piece for heat exchanger, has baffle plates, fastening bars and guiding bar fixed at boundary wall for influencing flow of coolant into channel, and fastening bars arranged radially within boundary wall</a> <b>[P]</b> . <span> 外国专利：  DE102010012192A1 </span> <span> . 2011-09-22</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：用于热交换器的冷却剂入口连接件，具有挡板，固定杆和导向杆，其固定在边界壁上以影响冷却剂向通道的流动，并且固定杆径向地布置在边界壁内 </span> </p> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/patent-detail/06130429278600.html">Brake system for vehicle e.g. passenger car, has electro-rheological or magneto-rheological component influencing viscosity of hydraulic fluid, where electro-rheological valve has plate condenser or cylinder condenser</a> <b>[P]</b> . <span> 外国专利：  DE102007034320A1 </span> <span> . 2009-01-29</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：车辆制动系统乘用车，具有影响液压油粘度的电流变或磁变成分，其中电流变阀具有板式冷凝器或气缸式冷凝器 </span> </p> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/patent-detail/06130419133043.html">Friction lining for clutch plate, has several projections, and passage recesses for fluid flow between the projections, and an element for influencing fluid flow between the projections, which is provided in the passage recesses</a> <b>[P]</b> . <span> 外国专利：  DE102012219788A1 </span> <span> . 2013-05-23</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：用于离合器片的摩擦衬片具有多个突起，以及用于在突起之间进行流体流动的通道凹部，以及用于影响突起之间的流体流动的元件，该元件设置在通道凹部中。 </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('0704023360749','4',7,2,1,'',this,24)" class="delivery" prompt="010401" title="通过人工服务将文献原文发送至邮箱" >获取原文</div> <div class="journalsub-pop-up" style="display: none"> <div class="journal-sub"> <h2>期刊订阅</h2> <img src="https://cdn.zhangqiaokeyan.com/img/loginclose.png" alt="关闭" onclick="$('.journalsub-pop-up').hide()"> <p class="pardon">抱歉，该期刊暂不可订阅，敬请期待！</p> <p class="current">目前支持订阅全部北京大学中文核心（2020）期刊目录。</p> <div style="display: flex;margin-top: 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