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Error Propagation in the Derivation of Noble Gas Diffusion Parameters for Minerals From Step Heating Experiments

机译：从阶梯加热实验中越野矿物扩散参数的误差传播

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Abstract > Step heating is an important tool in the derivation of thermochronologic models based on diffusive noble‐gas loss from minerals. This technique investigates noble‐gas diffusion in minerals at length scales of natural crystals. Like any scientific measurement, step heating requires realistic assessment of assumptions and uncertainties; however, uncertainties are often not presented or roughly approximated. Here we propagate errors associated with temperature, step duration, evolved gas quantity, and diffusion domain size. Other potential error sources (e.g., nonideal shapes, fractures, and zonation of aliquots) are not discussed. We provide error propagation formulas for the derivation of diffusivities and diffusion parameters for infinite plane sheet, spherical, and infinite cylinder geometry. We show that a variance in uncertainty (heteroscedasticity) in diffusivity and temperature may lead to erroneous estimates of activation energy ( E <sub> a </sub> ) and frequency factor ( D <sub>0</sub> ) and an underestimation of their uncertainties during unweighted regression. The effect becomes significant if the variance in uncertainty exceeds a factor of two to five. The effect of the difference in D <sub>0</sub> values is demagnified in the calculation of closure temperature (which calls on ln D <sub>0</sub> rather than D <sub>0</sub> ) and its uncertainty. To make this a practical resource, we provide spreadsheets with a step heating data set, diffusivity calculations with associated analytical error propagation formulas, and unweighted and weighted regression models to derive E <sub> a </sub> and D <sub>0</sub> for all three geometries. We also provide spreadsheets with Monte Carlo and numerical error propagation for plane sheet geometry. </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”> <标题类型=“main”>抽象</ title> > 步进加热是基于来自矿物质的扩散贵气体损失的热量模型推导出来的重要工具。该技术在天然晶体的长度尺度上调查矿物质中的贵族气体扩散。与任何科学测量一样，加热需要对假设和不确定性的现实评估;然而，不确定性通常不会呈现或大致近似。在这里，我们传播了与温度，步进持续时间，进化气体量和扩散域大小的误差。不讨论其他潜在的误差来源（例如，非膜状，裂缝和分区）。我们为无限平面板，球形和无限圆筒几何形状提供误差传播公式。我们表明，扩散性和温度中不确定性（异源性）的差异可能导致激活能量的错误估计（ e </ i> <sub> a </ i> </ sub> ）和频率因子（ d </ i> <sub> 0 </ sub> ）在未加权回归过程中低估了他们的不确定性。如果不确定度的方差超过两到五倍的差异，效果变得显着。差异的效果 d </ i> <sub> 0 </ sub> 在计算闭合温度（LN呼叫时）在计算中脱磁 d </ i> <sub> 0 </ sub> 而不是 d </ i> <sub> 0 </ sub> ）及其不确定性。为了使这种实用的资源提供具有步进加热数据集的电子表格，具有相关的分析误差传播公式的扩散性计算，以及无法获得的增值和加权回归模型 e </ i> <sub> a </ i> </ sub> 和 d </ i> <sub> 0 </ sub> 对于所有三个几何形状。我们还提供带蒙特卡罗的电子表格和平面板几何的数值误差传播。 </ p> </摘要> </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10期</span><b style="margin: 0 2px;">|</b><span>共15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=Ginster U.&option=202" target="_blank" rel="nofollow">Ginster U.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Reiners P. W.&option=202" target="_blank" rel="nofollow">Reiners P. W.;</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>Department of GeosciencesUniversity of ArizonaTucson AZ USA;</p> <p>Department of GeosciencesUniversity of ArizonaTucson AZ 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=step heating&option=203" rel="nofollow">step heating;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Arrhenius relationship&option=203" rel="nofollow">Arrhenius relationship;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=error propagation&option=203" rel="nofollow">error propagation;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=uncertainty&option=203" rel="nofollow">uncertainty;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=activation energy&option=203" rel="nofollow">activation energy;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=frequency factor&option=203" rel="nofollow">frequency factor;</a> </p> <div class="translation"> 机译：步进加热;Arrhenius关系;错误传播;不确定性;激活能量;频率系数; </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/0704023360367.html">Error Propagation in the Derivation of Noble Gas Diffusion Parameters for Minerals From Step Heating Experiments</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Ginster U.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Ginster U.,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Reiners P. 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