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从第一类积分方程的反演求解入手,推导出适合于岩石核磁共振弛豫时间多指数反演的两种算法:奇异值分解(singular value decomposition)方法和变换反演算法.对算法的具体实现过程进行了详细的论述,从理论和实例处理两方面分析讨论了两种算法的优缺点.从解的自由度的角度,讨论解的分辨率及最优反演模型的选取原则:SVD算法适合于信噪比较高的数据反演,变换反演算法适应于较低信噪比的数据反演.在进行岩石核磁共振信号的多指数反演处理时,应优先选用变换反演算法,只有当原始数据的信噪比SNR≥80时,可选用SVD反演算法.为保证T2反演结果的真实性,T2布点数应在30~50个之间.[KG*2]研究内容对核磁共振岩心分析和核磁共振测井工作具有重要参考价值. 相似文献
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提出了一个基于模块计算机的磁共振谱仪的控制接口,它建立了核磁共振成像谱仪与上位计算机之间的通信,实现了控制谱仪、上传和下载、数据处理等功能,具备较高的传输速度,以及较好的实时性. 该接口以硬件模块的方式集成到谱仪上,通过千兆和百兆以太网连接上位机,接收下传至谱仪的序列;用中断机制和直接内存存取(DMA)方式实现与谱仪的数据传输,并将处理采集到的回波数据并上传到上位机. 控制接口的设计采用模块计算机Computer-On-Module(COM)的设计思路,以高性能的处理器为嵌入式平台,在Linux操作系统下开发驱动程序和应用程序. 实验证明,该模块具有数据处理速度快、传输速率高,成本低,体积紧凑,扩展性强等特点,是实现磁共振谱仪高性能的控制接口的理想方案. 相似文献
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Beginning from the first kind of integral equation, two kinds of methods, i.e. Singular Value Decomposition (SVD) and transform
that are fit for the inversion calculation of NMR multi-relaxation data from rock, have been derived. The mathematical processing
was discussed in detail. The advantage and disadvantage of the two methods have been compared in theory and application. From
the view of the degree of freedom of the inversion solution, we discussed the resolution of the solution of NMR relaxation
inversion and the selection of optimal inversion modeling. Results showed that SVD method is fit for the inversion of NMR
relaxation data with a higher signal to noise ratio and transform inversion method is more flexible and can be used in NMR
data with a lower signal to noise ratio. It is advisable that transform inversion method be selected for the multi-relaxation
inversion of rock NMR data. SVD method can be used when the signal to noise ratio is better than 80. In order to ensure the
accuracy, the number of T2 points should be varied from 30 to 50. The results of the research are useful for NMR core analysis and the interpretation
of NMR logging data. 相似文献
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多孔介质体元内随机运动的核磁共振成像是一种透视流体微观无规则运动的方法.在多孔介质中,存在两种无规则运动.一种是分于扩散.它是由于分子的布朗运动引起的;另一种是弥散,它是由多孔介质中毛管网络的复杂结构造成的.多孔介质中的液体弥散和分子扩散会在成像体无内产生相位分散.这种相位分散致使回波信号发生衰减.采用适当的梯度脉冲.可以从这种信号衰减中获得视扩散系数(ADC)的分布图像.本文作者在4.7T高场超导核磁共振成像系统上.采用特制的高梯度线圈获得了扩散和机扩散系数分布的图像.在水和丙酮模型中获得了扩散系教图像,其扩散系数值与标准值相符.在人体肾结石中获得了扩散系数分布图像,在不同流速下,获得了多孔介质中的视扩散系数分布图像.并分析了视扩散系数与速度的关系.在多孔介质中定量确定扩散系数和机扩散系数及其空间分布将会极大地提高核磁共振成像技术在渗流力学研究中的应用能力. 相似文献
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本文在Hilbert空间中证明了右可逆的连续渐近非扩张型半群的遍历保核收缩存在定理,并讨论了可控的连续渐近非扩张型半群的遍历收敛定理 相似文献
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运用集中紧性方法和Ekeland变分原理研究R^2中二阶渐近周期奇异Hamilton系统ue (1 g(t))V‘u(t,u)=0的极小问题,并证明该系统具有两条非平凡同宿轨道。 相似文献
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Multi-objective optimization of gradient coil for benchtop magnetic resonance imaging system with high-resolution 下载免费PDF全文
Significant high magnetic gradient field strength is essential to obtaining high-resolution images in a benchtop mag- netic resonance imaging (BT-MRI) system with permanent magnet. Extending minimum wire spacing and maximum wire width of gradient coils is one of the key solutions to minimize the maximum current density so as to reduce the local heating and generate higher magnetic field gradient strength. However, maximum current density is hard to optimize together with field linearity, stored magnetic energy, and power dissipation by the traditional target field method. In this paper, a new multi-objective method is proposed to optimize the maximum current density, field linearity, stored magnetic energy, and power dissipation in MRI gradient coils. The simulation and experimental results show that the minimum wire spacings are improved by 159% and 62% for the transverse and longitudinal gradient coil respectively. The maximum wire width increases from 0.5 mm to 1.5 mm. Maximum gradient field strengths of 157 mT/m and 405 mT/m for transverse and lon- gitudinal coil are achieved, respectively. The experimental results in BT-MRI instrument demonstrate that the MRI images with in-plane resolution of 50 ~tm can be obtained by using the designed coils. 相似文献