Inversion Method of Bubble Group Size Distribution Parameters in Water Based on Nonlinear Parameter Measurement
A size distribution and parameter measurement technology, applied in measurement devices, particle size analysis, particle and sedimentation analysis, etc., can solve the problems of difficult inversion, unable to obtain transfer matrix, etc., achieve high experimental value and application value, simple calculation, Accurate results
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[0063] Example parameters are set as follows: water medium density ρ 0 =1000kg / m 3 , the speed of sound in water c 0 = 1500m / s, the length R of the mixed medium sample = 1m. That is to say, the hydrophone is placed 1m away from the transmitting transducer. The assumed bubble radius distribution obeys the power exponential distribution N(R 0 ) = R 0 -4 .
[0064] Considering that the radius range of the bubble is 15-500μm, the number of radius points N=1000; the excitation frequency range is 0.1-1000kHz, the number of frequency points M=1000; the damping coefficient δ=0.1; the specific heat ratio γ=1.4; the hydrostatic pressure P 0 =1.088×10 5 . Solve Equation (2) and establish Equation (3) (4) to get the nonlinear coefficient vector β. Construct the transfer matrix K according to formula (5), and get it by least squares inversion Inversion effect such as figure 2 shown.
[0065] Similarly, changing the assumed bubble size distribution N(R 0 ) obeys a Gaussian di...
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