发表机构
Chalmers University of Technology（查尔姆斯理工大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究提出一种基于系综平均米氏散射闭合与后向积分的稳定太赫兹FMCW雷达反演方法，实现气固流中距离分辨固体浓度解析测量，经循环流化床实验验证，灵敏度达10^-6量级。
AI 中文摘要
本文开发了一种稳定的反演方法，用于从单站亚太赫兹调频连续波（FMCW）雷达测量中重建颗粒悬浮液中毫米级固体浓度分布。在工业颗粒流中，累积衰减使得路径积分体积散射雷达方程的直接反演变得病态。该方法通过将系综平均米氏散射闭合模型与稳定的后向积分方案相结合来解决此问题，从而获得距离分辨固体浓度的解析解，无需针对参考浓度测量进行特定案例的参数拟合。所需的距离相关系统响应通过使用电大金属球进行外部替代的绝对近场和远场校准来确定。该方法在3.1米高的循环流化床提升管中进行了评估，该提升管以环境空气和铜粉（中位直径32.6微米，密度8920千克每立方米）运行，并与由差压测量得出的固体体积分数估计值进行了对比。在产生不同轴向固体分布的三次表观气速下，雷达导出和压力导出的分布曲线吻合良好，且雷达显示出对低至约10的负六次方量级的固体体积分数的灵敏度。
英文摘要
A stable inversion method is developed to reconstruct millimeter-scale solids-concentration profiles in particulate suspensions from monostatic sub-terahertz frequency-modulated continuous-wave (FMCW) radar measurements. In industrial particulate flows, cumulative attenuation renders the direct inversion of the path-integrated volume-scattering radar equation ill-conditioned. The method resolves this by an ensemble-averaged Mie-scattering closure coupled to a stable backward-integration scheme, yielding an analytical solution for the range-resolved solids concentration without case-specific parameter fitting against reference concentration measurements. The required range-dependent system response is determined by absolute near- and far-field calibration via external substitution with an electrically large metallic sphere. The method was evaluated against solids-volume-fraction estimates derived from differential-pressure measurements in a 3.1 m-tall circulating fluidized-bed riser operated with ambient air and copper powder (median diameter 32.6 $μ$m, density 8920 kg m$^{-3}$). The radar-derived and pressure-derived profiles agreed well across three superficial gas velocities producing distinct axial solids distributions, and the radar indicates sensitivity down to solids volume fractions of order $10^{-6}$.
Comments16 pages, 8 figures. Submitted to IEEE Transactions on Instrumentation and Measurement
