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14MeV中子在贫化铀球中造钚率的实验数据模拟分析 被引量:3
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作者 鹿心鑫 朱通华 +4 位作者 刘荣 蒋励 王玫 林菊芳 温中伟 《原子能科学技术》 EI CAS CSCD 北大核心 2011年第6期645-650,共6页
根据已开展的14 MeV中子在600 mm贫化铀球中的造钚率实验,使用MCNP5程序对实验结果及其影响因素进行数值模拟分析。结果表明:B-Ⅵ版的uresa库和endf66c库对造钚率的模拟结果与实验结果相符;管道的空腔效应、靶室结构材料和水层的屏蔽... 根据已开展的14 MeV中子在600 mm贫化铀球中的造钚率实验,使用MCNP5程序对实验结果及其影响因素进行数值模拟分析。结果表明:B-Ⅵ版的uresa库和endf66c库对造钚率的模拟结果与实验结果相符;管道的空腔效应、靶室结构材料和水层的屏蔽散射效应及大厅本底中子等因素对造钚率影响较小。 展开更多
关键词 造钚率 贫化铀球 模拟分析
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14MeV 中子在 Φ600mm 贫化铀球中造钚率测量 被引量:3
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作者 王大伦 陈素和 +3 位作者 亢武 游泳 黄卫东 张秀岩 《原子能科学技术》 EI CAS CSCD 北大核心 1997年第3期229-233,共5页
使用中子活化技术对238U(n,γ)239U反应产物239U衰变后的239Np子体的278keVγ射线的绝对测量,获得了14MeV中子在600mm贫化铀球中的造钚率。其实验测量值为2.46±0.09。278ke... 使用中子活化技术对238U(n,γ)239U反应产物239U衰变后的239Np子体的278keVγ射线的绝对测量,获得了14MeV中子在600mm贫化铀球中的造钚率。其实验测量值为2.46±0.09。278keVγ射线用高纯锗探测器测量,探测器的有效计数效率用243Am源刻度。600mm贫化铀球由7层贫化铀球壳组成,球心有一80mm源腔,总重约2.1t。 展开更多
关键词 裂变-聚变 贫化铀球 造钚率 中子活化 混合堆
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Third Order Adjoint Sensitivity and Uncertainty Analysis of an OECD/NEA Reactor Physics Benchmark: III. Response Moments 被引量:3
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作者 Ruixian Fang Dan Gabriel Cacuci 《American Journal of Computational Mathematics》 2020年第4期559-570,共12页
The (180)<sup>3</sup> third-order mixed sensitivities of the leakage response of a polyethylene-reflected plutonium (PERP) experimental benchmark with respect to the benchmark’s 180 microscopic total cros... The (180)<sup>3</sup> third-order mixed sensitivities of the leakage response of a polyethylene-reflected plutonium (PERP) experimental benchmark with respect to the benchmark’s 180 microscopic total cross sections have been computed in accompanying works [1] [2]. This work quantifies the contributions of these (180)<sup>3</sup> third-order mixed sensitivities to the PERP benchmark’s leakage response distribution moments (expected value, variance and skewness) and compares these contributions to those stemming from the corresponding first- and second-order sensitivities of the PERP benchmark’s leakage response with respect to the total cross sections. The numerical results obtained in this work reveal that the importance of the 3<sup>rd</sup>-order sensitivities can surpass the importance of the 1<sup>st</sup>- and 2<sup>nd</sup>-order sensitivities when the parameters’ uncertainties increase. In particular, for a uniform standard deviation of 10% of the microscopic total cross sections, the 3<sup>rd</sup>-order sensitivities contribute 80% to the response variance, whereas the contribution stemming from the 1st- and 2nd-order sensitivities amount only to 2% and 18%, respectively. Consequently, neglecting the 3<sup>rd</sup>-order sensitivities could cause a very large non-conservative error by under-reporting the response variance by a factor of 506%. The results obtained in this work also indicate that the effects of the 3<sup>rd</sup>-order sensitivities are to reduce the response’s skewness in parameter space, rendering the distribution of the leakage response more symmetric about its expected value. The results obtained in this work are the first such results ever published in reactor physics. Since correlations among the group-averaged microscopic total cross sections are not available, only the effects of typical standard deviations for these cross sections could be considered. Due to this lack of correlations among the cross sections, the effects of the <em>mixed</em> 3<sup>rd</sup>-order sensitivities could not be quantified exactly at this time. These effects could be quantified only when correlations among the group-averaged microscopic total cross sections would be obtained experimentally by the nuclear physics community. 展开更多
关键词 polyethylene-reflected plutonium sphere 3rd-Order Sensitivities 1st-Order 2nd-Order and 3rd-Order Uncertainty Analysis Microscopic Total Cross Sections Expected Value Variance and Skewness of Response Distribution
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Third Order Adjoint Sensitivity and Uncertainty Analysis of an OECD/NEA Reactor Physics Benchmark: II. Computed Sensitivities 被引量:3
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作者 Ruixian Fang Dan Gabriel Cacuci 《American Journal of Computational Mathematics》 2020年第4期529-558,共30页
This work presents the results of the exact computation of (180)<sup>3</sup> = 5,832,000 third-order mixed sensitivities of the leakage response of a polyethylene-reflected plutonium (PERP) experimental be... This work presents the results of the exact computation of (180)<sup>3</sup> = 5,832,000 third-order mixed sensitivities of the leakage response of a polyethylene-reflected plutonium (PERP) experimental benchmark with respect to the benchmark’s 180 microscopic total cross sections. This computation was made possible by applying the Third-Order Adjoint Sensitivity Analysis Methodology developed by Cacuci. The numerical results obtained in this work revealed that many of the 3<sup>rd</sup>-order sensitivities are significantly larger than their corresponding 1<sup>st</sup>- and 2<sup>nd</sup>-order ones, which is contrary to the widely held belief that higher-order sensitivities are all much smaller and hence less important than the first-order ones, for reactor physics systems. In particular, the largest 3<sup>rd</sup>-order relative sensitivity is the mixed sensitivity <img src="Edit_754b8437-dfdf-487d-af68-c78c637e6d4e.png" width="180" height="24" alt="" />of the PERP leakage response with respect to the lowest energy-group (30) total cross sections of <sup>1</sup>H (“isotope 6”) and <sup>239</sup>Pu (“isotope 1”). These two isotopes are shown in this work to be the two most important parameters affecting the PERP benchmark’s leakage response. By comparison, the largest 1<sup>st</sup>-order sensitivity is that of the PERP leakage response with respect to the lowest energy-group total cross section of isotope <sup>1</sup>H, having the value <img src="Edit_a5cfcc11-6a99-41ee-b844-a5ee84b454b3.png" width="100" height="24" alt="" />, while the largest 2<sup>nd</sup>-order sensitivity is <img src="Edit_05166a2b-97f7-43f1-98ff-b21368c00228.png" width="120" height="22" alt="" />. The 3<sup>rd</sup>-order sensitivity analysis presented in this work is the first ever such analysis in the field of reactor physics. The consequences of the results presented in this work on the uncertainty analysis of the PERP benchmark’s leakage response will be presented in a subsequent work. 展开更多
关键词 polyethylene-reflected plutonium sphere 1st-Order Sensitivities 2nd-Order Sensitivities 3rd-Order Sensitivities Third Order Adjoint Sensitivity Analysis Microscopic Total Cross Sections
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Third-Order Adjoint Sensitivity Analysis of an OECD/NEA Reactor Physics Benchmark: I. Mathematical Framework 被引量:2
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作者 Dan Gabriel Cacuci Ruixian Fang 《American Journal of Computational Mathematics》 2020年第4期503-528,共26页
This work extends to third-order previously published work on developing the adjoint sensitivity and uncertainty analysis of the numerical model of a <u>p</u>oly<u>e</u>thylene-<u>r</u... This work extends to third-order previously published work on developing the adjoint sensitivity and uncertainty analysis of the numerical model of a <u>p</u>oly<u>e</u>thylene-<u>r</u>eflected <u>p</u>lutonium (acronym: PERP) OECD/NEA reactor physics benchmark. The PERP benchmark comprises 21,976 imprecisely known (uncertain) model parameters. Previous works have used the adjoint sensitivity analysis methodology to compute exactly and efficiently all of the 21,976 first-order and (21,976)<sup>2</sup> second-order sensitivities of the PERP benchmark’s leakage response to all of the benchmark’s uncertain parameters, showing that the largest and most consequential 1<sup>st</sup>- and 2<sup>nd</sup>-order response sensitivities are with respect to the total microscopic cross sections. These results have motivated extending the previous adjoint-based derivations to third-order, leading to the derivation, in this work, of the exact mathematical expressions of the (180)<sup>3</sup> third-order sensitivities of the PERP leakage response with respect to these total microscopic cross sections. The formulas derived in this work are valid not only for the PERP benchmark but can also be used for computing the 3<sup>rd</sup>-order sensitivities of the leakage response of any nuclear system involving fissionable material and internal or external neutron sources. Subsequent works will use the adjoint-based mathematical expressions obtained in this work to compute exactly and efficiently the numerical values of these (180)<sup>3</sup> third-order sensitivities (which turned out to be very large and consequential) and use them for a third-order uncertainty analysis of the PERP benchmark’s leakage response. 展开更多
关键词 polyethylene-reflected plutonium sphere 1st-Order 2nd-Order and 3rd-Order Sensitivities 3rd-Order Adjoint Sensitivity Analysis Microscopic Total Cross Sections Expected Value Variance and Skewness of Response Distribution
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Fourth-Order Adjoint Sensitivity Analysis of an OECD/NEA Reactor Physics Benchmark: II. Mathematical Expressions and CPU-Time Comparisons for Computing 4<sup>th</sup>-Order Sensitivities 被引量:2
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作者 Dan Gabriel Cacuci Ruixian Fang 《American Journal of Computational Mathematics》 2021年第2期133-156,共24页
This work extends to fourth-order previously published work on developing the adjoint sensitivity and uncertainty analysis of the numerical model of a <u>p</u>oly<u>e</u>thylene-<u>r</... This work extends to fourth-order previously published work on developing the adjoint sensitivity and uncertainty analysis of the numerical model of a <u>p</u>oly<u>e</u>thylene-<u>r</u>eflected <u>p</u>lutonium (acronym: PERP) OECD/NEA reactor physics benchmark. Previous works showed that the third-order sensitivities of the PERP leakage response with respect to these total microscopic cross sections are far larger than the corresponding 1<sup>st</sup>-order and 2<sup>nd</sup>-order ones, thereby having the largest impact on the uncertainties induced in the PERP benchmark’s response. This finding has motivated the development of the original 4<sup>th</sup>-order formulas presented in this work, which are valid not only for the PERP benchmark but can also be used for computing the 4<sup>th</sup>-order sensitivities of response of any nuclear system involving fissionable material and internal or external neutron sources. Subsequent works will use the adjoint-based mathematical expressions obtained in this work to compute exactly and efficiently the numerical values of the largest fourth-order sensitivities of the PERP benchmark’s response to the total microscopic cross sections, and use them for a pioneering fourth-order uncertainty analysis of the PERP benchmark’s response. 展开更多
关键词 polyethylene-reflected plutonium sphere 4th-Order Adjoint Sensitivity Analysis Microscopic Total Cross Sections
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Fourth-Order Adjoint Sensitivity Analysis of an OECD/NEA Reactor Physics Benchmark: I. Mathematical Expressions and CPU-Time Comparisons for Computing 1<sup>st</sup>-, 2<sup>nd</sup>- and 3<sup>rd</sup>-Order Sensitivities 被引量:2
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作者 Dan Gabriel Cacuci Ruixian Fang 《American Journal of Computational Mathematics》 2021年第2期94-132,共39页
This work extends to fourth-order previously published work on developing the adjoint sensitivity and uncertainty analysis of the numerical model of a <u>p</u>oly<u>e</u>thylene-<u>r</... This work extends to fourth-order previously published work on developing the adjoint sensitivity and uncertainty analysis of the numerical model of a <u>p</u>oly<u>e</u>thylene-<u>r</u>eflected <u>p</u>lutonium (acronym: PERP) OECD/NEA reactor physics benchmark. The PERP benchmark comprises 7477 imprecisely known (uncertain) model parameters which have nonzero values. These parameters are as follows: 180 microscopic total cross sections;7101 microscopic scattering sections;60 microscopic fission cross sections;60 parameters that characterize the average number of neutrons per fission;60 parameters that characterize the fission spectrum;10 parameters that characterize the fission source;and 6 parameters that characterize the isotope number densities. Previous works have used the adjoint sensitivity analysis methodology to compute exactly and efficiently all of the 7477 first-order and 27,956,503 second-order sensitivities of the PERP benchmark’s leakage response to all of the benchmark’s uncertain parameters. These works showed that largest response sensitivities involve the total microscopic cross sections, which motivated the recent computation of all of the (180)<sup>3</sup> third-order sensitivities of the PERP leakage response with respect to these total microscopic cross sections. It turned out that some of these 3<sup>rd</sup>-order cross sections were far larger than the corresponding 2<sup>nd</sup>-order ones, thereby having the largest impact on the uncertainties induced in the PERP benchmark’s response. This finding has motivated the development of the original 4<sup>th</sup>-order formulas presented in this work, which are valid not only for the PERP benchmark but can also be used for computing the 4<sup>th</sup>-order sensitivities of response of any nuclear system involving fissionable material and internal or external neutron sources. Subsequent works will use the adjoint-based mathematical expressions obtained in this work to compute exactly and efficiently the numerical values of the largest fourth-order sensitivities of the PERP benchmark’s response to the total microscopic cross section and use them for a pioneering fourth-order uncertainty analysis of the PERP benchmark’s response. 展开更多
关键词 polyethylene-reflected plutonium sphere Benchmark 1st-Order 2nd-Order 3rd-Order Forward Sensitivity Analysis FINITE-DIFFERENCES 1st-Order 2nd-Order 3rd-Order Adjoint Sensitivity Analysis Cross Sections
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PuO_2颗粒对自发α射线的能量自吸收效应评估研究
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作者 罗文 祝小惠 +1 位作者 宋英明 朱志超 《原子核物理评论》 CAS CSCD 北大核心 2016年第3期326-329,共4页
构建PuO_2颗粒状α发射体的球体几何模型,采用蒙特卡罗和射程经验公式模拟计算α射线在PuO_2颗粒中的射程能量关系式及α射线从PuO_2颗粒表面出射的能谱分布,研究因PuO_2颗粒对自发α射线的能量自吸收效应导致的对人体内照射剂量评估的... 构建PuO_2颗粒状α发射体的球体几何模型,采用蒙特卡罗和射程经验公式模拟计算α射线在PuO_2颗粒中的射程能量关系式及α射线从PuO_2颗粒表面出射的能谱分布,研究因PuO_2颗粒对自发α射线的能量自吸收效应导致的对人体内照射剂量评估的影响。研究结果表明,PuO_2粒径越大,其对自发α射线的能量自吸收效应越明显,内照射剂量的修正效果越好;当PuO_2粒径在2μm以上时,内照射剂量的修正效果大于5%。本研究的结果对吸入放射性物质所致人体内照射剂量的准确估算有重要的参考价值,并可应用于放射性核素肿瘤治疗等领域的微剂量学研究。 展开更多
关键词 PuO2颗粒 球体模型 自吸收效应 照射剂量
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