The goal of tomography is to reconstruct a spatially-varying image function s(x,m), where x is position and m is a finite-length vector of parameters. Many reconstruction methods minimize the total L2 error E ≡ eTe, ...The goal of tomography is to reconstruct a spatially-varying image function s(x,m), where x is position and m is a finite-length vector of parameters. Many reconstruction methods minimize the total L2 error E ≡ eTe, where individual errors ei quantify misfit between predictions and observations, to quantify goodness of fit. So-called adjoint state methods allow the gradient ∂E/∂mi to be computed extremely efficiently from an adjoint field, facilitating image reconstruction by gradient-descent methods. We examine the structure of the differential equation for the adjoint field under the ray approximation and find that it has the same form as the transport equation, whose solution involves the well-known geometrical spreading function R Consequently, as R is routinely tabulated as part of a ray calculation, no extra work is needed to compute the adjoint field, permitting a rapid calculation of the gradient?∂E/∂mi.展开更多
介绍JMCT(J Monte Carlo Transport)软件的多群中子伴随输运功能以及基于伴随通量的自动源偏倚抽样功能.对某商用压水堆屏蔽模型的模拟计算表明,采用自动源偏倚后,JMCT的模拟结果与实验值符合较好,比MCNP程序采用几何重要性方法的计算...介绍JMCT(J Monte Carlo Transport)软件的多群中子伴随输运功能以及基于伴随通量的自动源偏倚抽样功能.对某商用压水堆屏蔽模型的模拟计算表明,采用自动源偏倚后,JMCT的模拟结果与实验值符合较好,比MCNP程序采用几何重要性方法的计算效率大幅提高.展开更多
通过堆外探测器空间响应函数与反应堆功率分布的内积可得到探测器电流。因此,获得堆外探测器的空间响应函数对堆外探测器电流信号的刻度和修正具有重要意义。本文利用二维输运计算程序DORT和基于ENDF/B-Ⅶ.1制作的多群数据库MATXS-47,...通过堆外探测器空间响应函数与反应堆功率分布的内积可得到探测器电流。因此,获得堆外探测器的空间响应函数对堆外探测器电流信号的刻度和修正具有重要意义。本文利用二维输运计算程序DORT和基于ENDF/B-Ⅶ.1制作的多群数据库MATXS-47,采用求解共轭中子输运方程的方法对压水堆核电厂Indian Point 2的堆外探测器径向空间响应函数进行了计算,计算结果与文献值吻合,表明本文所采用的响应函数计算方法是正确的。展开更多
文摘The goal of tomography is to reconstruct a spatially-varying image function s(x,m), where x is position and m is a finite-length vector of parameters. Many reconstruction methods minimize the total L2 error E ≡ eTe, where individual errors ei quantify misfit between predictions and observations, to quantify goodness of fit. So-called adjoint state methods allow the gradient ∂E/∂mi to be computed extremely efficiently from an adjoint field, facilitating image reconstruction by gradient-descent methods. We examine the structure of the differential equation for the adjoint field under the ray approximation and find that it has the same form as the transport equation, whose solution involves the well-known geometrical spreading function R Consequently, as R is routinely tabulated as part of a ray calculation, no extra work is needed to compute the adjoint field, permitting a rapid calculation of the gradient?∂E/∂mi.
文摘通过堆外探测器空间响应函数与反应堆功率分布的内积可得到探测器电流。因此,获得堆外探测器的空间响应函数对堆外探测器电流信号的刻度和修正具有重要意义。本文利用二维输运计算程序DORT和基于ENDF/B-Ⅶ.1制作的多群数据库MATXS-47,采用求解共轭中子输运方程的方法对压水堆核电厂Indian Point 2的堆外探测器径向空间响应函数进行了计算,计算结果与文献值吻合,表明本文所采用的响应函数计算方法是正确的。
