Mechanistic modeling for particle size measurement by ultrasonic technique and inverse calculation of particle size distribution;

The permeability parts of aquifer are set up by using cluster analysis and fuzzy comprehensive judgment and the rank relationship of permeability coefficient of every part of aquifer is given and the way to enhance the precision of inverse calculation of permeability is described.

The water quality multi parameter identification and inverse algorithm;

Combined with the inverse algorithm of the optimum regulation technique,the particle size distributions of sediment under different volumetric concentrations are obtained according to the attenuation prediction of Coupled-phase model plus Bouguer-Lambert-Beer-Law scattering model and experimental attenuation spectrum at frequency ranges from 2MHz to 7MHz.

Some problems on the Philip-Twomey-NNLS inverse algorithm used widely in particle sizing were discussed, and a new method is presented to optimize the parameter y.

This means the inversion algorithm of the paper has a good value in actual applications.

An autoconvolution algorithm is established for the processing of the optical projection data of the pendulum wire, and an algebraic inversion algorithm is given for the extraction of the coordinates of the pendulum wire from the multidirectional projection data.

The principle of general case inversion algorithms is presented.