Measurements of Particle Size Distribution Based on Mie Scattering Theory and Markov Chain Inversion Algorithm

Aerosol plays a very important role in affecting the earth-atmosphere radiation budget, and particle size distribution is an important aerosol property parameter. Therefore, it is necessary to determine the particle size distribution. However, the particle size distribution determined by the particle extinction efficiency factor according to the Mie scattering theory is an ill-conditioned integral equation, namely, the Fredholm integral equation of the first kind, which is very difficult to solve. To avoid solving such an integral equation, the BP neural network prediction model was established. In the model, the aerosol optical depth obtained by sun photometer CE-318 and kernel functions obtained by Mie scattering theory were used as the inputs of the neural network, particle size distributions collected by the aerodynamic particle sizer APS 3321 were used as the output, and the Levenberg–Marquardt algorithm with the fastest descending speed was adopted to train the model. For verifying the feasibility of the prediction model, some experiments were carried out. The results show that BP neural network has a better prediction effect than that of the RBF neural network and is an effective method to obtain the aerosol particle size distribution of the whole atmosphere column using the data of CE-318 and APS 3321.

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Experimental Research on Size Distribution of Suspended Particles in water Based on Mie Scattering Theory

IOP Conference Series Earth and Environmental Science ◽

10.1088/1755-1315/769/4/042063 ◽

2021 ◽

Vol 769 (4) ◽

pp. 042063

Author(s):

Huan Zhou ◽

Lian Li

Keyword(s):

Size Distribution ◽

Experimental Research ◽

Scattering Theory ◽

Suspended Particles ◽

Mie Scattering ◽

Water Based ◽

Mie Scattering Theory

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Application of artificial bee colony algorithm for particle size distribution measurement of suspended sediment based on focused ultrasonic sensor

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331221989115 ◽

2021 ◽

pp. 014233122198911

Author(s):

Yeming Li ◽

Yidan Xia ◽

Dailiang Xie ◽

Ya Xu ◽

Zhipeng Xu ◽

...

Keyword(s):

Particle Size ◽

Particle Size Distribution ◽

Size Distribution ◽

Suspended Sediment ◽

Artificial Bee Colony ◽

Ultrasonic Sensor ◽

Inversion Algorithm ◽

Distribution Measurement ◽

Bee Colony ◽

Particle Size Distribution Measurement

A new focused ultrasonic sensor is proposed, based on which the measurement system for particle size distribution measurement of suspended sediment is established. Compared with the traditional ultrasonic sensors, the one used in this paper is equipped with piezoelectric transducer (PZT) on an arc-shaped shell, to concentrate ultrasonic beams on one measurement point. The sensor is used to measure the particle size distribution of suspended sediment. The experiments were carried out on water-sediment mixtures with different particle size distribution. Due to multiple parameters and non-linearity of the ultrasonic attenuation model, the artificial bee colony (ABC) inversion algorithm is used to estimate particle size distribution, thus improving measurement accuracy. The particle sizes obtained by sieving method are seen as reference values. The results indicate that whether the suspended particles are subject to a unimodal distribution, uniform distribution or random distribution, the particle size distribution obtained by ABC inversion algorithm is consistent with the result obtained by the sieve method. The results demonstrate that the method has good utility and accuracy within the low concentration range.

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ESTIMATION OF PARAMETERIZATION FOR DROP SIZE DISTRIBUTION BASED ON MIE SCATTERING THEORY AND RADAR OBSERVATIONS IN SUMMER 2018

Journal of Japan Society of Civil Engineers Ser B1 (Hydraulic Engineering) ◽

10.2208/jscejhe.76.2_i_181 ◽

2020 ◽

Vol 76 (2) ◽

pp. I_181-I_186

Author(s):

Hiroki OKACHI ◽

Tomohito YAMADA

Keyword(s):

Size Distribution ◽

Scattering Theory ◽

Drop Size ◽

Mie Scattering ◽

Drop Size Distribution ◽

Radar Observations ◽

Mie Scattering Theory

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Classification Inversion Algorithm of Circular Cylinder Particle Size Distribution Based on the Light Extinction Date

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.105-107.2113 ◽

2011 ◽

Vol 105-107 ◽

pp. 2113-2116

Author(s):

Hong Tang ◽

Wen Bin Zheng

Keyword(s):

Particle Size ◽

Circular Cylinder ◽

Particle Size Distribution ◽

Size Distribution ◽

Particle System ◽

Distribution Functions ◽

Light Extinction ◽

Particle Sizing ◽

Inversion Algorithm ◽

Cylinder Particle

Particulate flow is commonly encountered in industries as well as in many other chemical and mechanical engineering applications. The accurate measurement of particle size distribution is of the utmost importance since it decides the physical and chemical characteristic of the particles. The light extinction method can be used for in-line monitoring of particle systems thus providing real time measurements of both particle size distribution and particle concentration. In light extinction particle sizing, a classification inversion algorithm is proposed for the circular cylinder particles. The measured circular cylinder particle system is inversed with different particle distribution functions and classified according to the inversion errors in the dependent model. The simulation experiments illustrate that it is feasible to use the inversion errors of object functions to inverse the circular cylinder particle size distribution in the light extinction particle sizing technique. This classing inversion algorithm can avoid the defects that the type of the size distribution must be assumed beforehand for the light extinction method.

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Simulation and Calculation of 10.6μm Laser Time Broadening and Space Broadening Characteristics in Near-Earth Dust

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.401-403.437 ◽

2013 ◽

Vol 401-403 ◽

pp. 437-440 ◽

Cited By ~ 1

Author(s):

Ni Chen Yang ◽

Hong Xia Wang ◽

You Zhang Zhu

Keyword(s):

Monte Carlo ◽

Time Delay ◽

Size Distribution ◽

Scattering Theory ◽

Mie Scattering ◽

Dust Particles ◽

Distribution Model ◽

Laser Scattering ◽

Transmission Distance ◽

Mie Scattering Theory

Based on the Mie scattering theory and the gamma size distribution model, 10.6μm laser scattering characteristics in dust particles are calculated and analyzed.On this basis,the time broadening and space broadening characteristics of the laser are analyzed by using Monte Carlo method.Transmittance change with the transmission distance are quantitative calculated and the time detention and space broadening characteristics of the laser passed through dust for different transmission distances are calculated and analyzed. The results show that the transmittance decreases with increasing transmission distance, and the transmittance is close to 0 when transmission distance is close to 200m; The time delay of 10.6μm laser is more significant with the increaseing transmission distance; The space broadening of 10.6μm laser is more obvious and the energy is more dispersed with the increaseing transmission distance.

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