基于加权非负最小二乘的颗粒粒径反演方法研究  

Research on Particle Size Distribution Inversion Method Based on Weighted Non-Negative Least Squares

作　　者：岳朴杰 张世玮 孟磊 宁翔 俞天阳 YUE Pujie;ZHANG Shiwei;MENG Lei;NING Xiang;YU Tianyang(Datang Environment Industry Group Co.,Ltd.Beijing,100097,China;Key Laboratory of Shanghai for Power Engineering Multi-phase and Heat Transfer,University of Shanghai for Science and Technology,Shanghai 200093,China)

机构地区：[1]大唐环境产业集团股份有限公司,北京100097 [2]上海理工大学上海市动力工程多相流动与传热重点实验室,上海200093

出　　处：《测试技术学报》2023年第6期461-467,共7页Journal of Test and Measurement Technology

基　　金：自然科学基金资助项目(51776129);大唐环境产业集团股份有限公司项目(CDTHT20210145029)。

摘　　要：针对超声衰减谱法的颗粒粒径测量,为减小实验超声衰减谱的测量误差对反演结果的影响,提出了一种基于最优正则化的加权非负最小二乘OrtWtls反演算法。基于McClements和BLBL模型预测,引入加权矩阵对衰减谱粗大误差进行修正。结果表明,信噪比分别为10 dB和20 dB含噪超声衰减谱反演得到的粒径分布体积中位径与设定直径的相对误差小于5%,且多次测量的标准差小于1μm。用提出的OrtWtls算法对质量浓度为10%和20%的石灰石浆液实验超声衰减谱进行反演计算,与图像法的相对误差分别为7.71%和9.64%,证明了OrtWtls算法求解颗粒粒径分布的可行性。In order to reduce the influence of measurement error of experimental ultrasonic attenuation spectrum on inversion results,a weighted non-negative least squares OrtWtls inversion algorithm based on optimal regularization was proposed for particle size distribution measurement by ultrasonic attenuation spectrum.Based on the prediction of McClements and BLBL model,the weighted matrix was introduced to correct the coarse error of the attenuation spectrum.The results show that the relative error between the volume median diameter of particle size distribution and the set diameter is less than 5%,and the standard deviation of multiple measurements is less than 1μm for the ultrasonic attenuation spectrum with noise ratio of 10 dB and 20 dB respectively.The proposed OrtWtls algorithm was used to invert the experimental ultrasonic attenuation spectrum of limestone grout with mass concentrations of 10%and 20%,the relative errors compared with the image method were 7.71%and 9.64%,which proves that the OrtWtls algorithm is feasible to calculate particle size distribution.

关 键 词：加权最小二乘 超声衰减谱 粒径分布 反演算法 

分 类 号：TB52[理学—物理]