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Integral inverse-calculation method for grain diameter measurement

A technology of particle size and equation, applied in the direction of measuring device, particle size analysis, particle and sedimentation analysis, etc., can solve problems such as error, noise, ill-posedness, etc.

Active Publication Date: 2009-05-13
安徽欧泰祺智慧水务科技有限公司
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Problems solved by technology

[0005] Since the measured value I(θ) of this algorithm is inevitably noisy, the numerical differentiation of the noisy data will not only amplify the noise, but also be an ill-posed problem, which will cause a large error

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  • Integral inverse-calculation method for grain diameter measurement
  • Integral inverse-calculation method for grain diameter measurement
  • Integral inverse-calculation method for grain diameter measurement

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Embodiment Construction

[0024] The present invention, that is, a method for integral inverse calculation of particle size measurement, comprises the following steps:

[0025] Step 1: first obtain a particle group diffraction light intensity distribution I(θ) with particle size parameter distribution f(x) by measurement;

[0026] I ( θ ) = λ 2 4 π 2 F 2 θ 2 I 0 ∫ 0 ∞ x 2 J 1 2 ( xθ ) f ( x ) dx - - - ...

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Abstract

The invention relates to a particle size measurement integral inversion arithmetic which is characterized by comprising the steps as follows: (1) particle group diffraction light distribution I(theta) with the particle size parameter distribution of f(x) is obtained by measuring; (2) an inversion expression of a double-integral form is obtained by analytic solutions of Hankel transform and Scholmilch equation; (3) the equation obtained in step (2) is carried out discretization treatment by a Gauss interpolation method; and (4) Gauss interpolation coefficient and interpolation node are substituted in a formula after the discretization treatment in step (3) to obtain the particle size distribution f(x). The integral inversion arithmetic is adopted, and internal integral is equal to a lowpass, thereby reducing the influence of noise on a measurement signal; and the new arithmetic only contains one Bessel function, so that the oscillation is reduced obviously.

Description

technical field [0001] The invention relates to an integral back calculation method for particle size measurement, which belongs to the field of particle size measurement. Background technique [0002] At present, the integral inversion algorithm for measuring particle size distribution by laser diffraction method generally adopts the Chin-Shifrin integral transformation method. Let f(x) be the mass distribution probability density function of the particle group, then [0003] xf ( x ) = - 8 π 3 F 2 λ 2 ∫ 0 ∞ J 1 ( θx ) Y 1 ( θx ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01N15/02G06F19/00G06F17/10
Inventor 曹章徐立军丁洁
Owner 安徽欧泰祺智慧水务科技有限公司
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