Method and apparatus for the gamma transmission analysis of multicomponent mixtures in the presence of coarse grained components

Method for determining the average density or volume percentage of at least one coarse grained component of a multicomponent mixture by gamma transmission analysis, including the steps of irradiating the mixture with gamma radiation from at least one source, detecting the transmitted radiation by means of at least one detector, and evaluating a selected relation between the transmitted and detected radiation intensities to determine the average density or volume percentage by using a first transmission equation which defines the selected relation as a function of the average density or volume percentage in homogeneous mixtures, said step of evaluating comprising transforming, in such equation, the term representative of the product of the volume percentage of the coarse grained component and the gamma radiation absorption coefficient of that component reduced by the gamma radiation absorption coefficient of the rest of the mixture, with the aid of a correction function which is derived by comparison of corresponding values in the first transmission equation and in a further transmission equation which defines the selected relation as a function of the particle sizes of the coarse grained component in order to provide a corrected determination relative to that component.

Method for determining the average density or volume percentage of at least one coarse grained component of a multicomponent mixture by gamma transmission analysis, including the steps of irradiating the mixture with gamma radiation from at least one source, detecting the transmitted radiation by means of at least one detector, and evaluating a selected relation between the transmitted and detected radiation intensities to determine the average density or volume percentage by using a first transmission equation which defines the selected relation as a function of the average density or volume percentage in homogeneous mixtures, said step of evaluating comprising transforming, in such equation, the term representative of the volume percentage of the coarse grained component with the aid of a correction function which is derived by comparison of corresponding values in the first transmission equation and in a further transmission equation which defines the selected relation as a function of the particle sizes of the coarse grained component in order to provide a corrected determination relative to that component.

Method for determining the average density or volume percentage of at least one coarse grained component of a multicomponent mixture by gamma transmission analysis, including the steps of irradiating the mixture with gamma radiation from at least one source, detecting the transmitted radiation by means of at least one detector, and evaluating a selected relation between the transmitted and detected radiation intensities to determine the average density or volume percentage by using a first transmission equation which defines the selected relation as a function of the average density or volume percentage in homogeneous mixtures, said step of evaluating comprising transforming, in such equation, the term representative of the gamma radiation absorption coefficient of the coarse grained component reduced by the gamma radiation absorption coefficient of the rest of the mixture, with the aid of a correction function which is derived by comparison of corresponding values in the first transmission equation and in a further transmission equation which defines the selected relation as a function of the particle sizes of the coarse grained component in order to provide a corrected determination relative to that component.

Method for determining the average density or volume percentage of at least one coarse grained component of a multicomponent mixture by gamma transmission analysis, including the steps of irradiating the mixture with gamma radiation from at least one source, detecting the transmitted radiation by means of at least one detector, and evaluating a selected relation between the transmitted and detected radiation intensities to determine the average density or volume percentage by using a first transmission equation which defines the selected relation as a function of the average density or volume percentage in homogeneous mixtures, said step of evaluating comprising transforming, in such equation, the term representative of the gamma radiation absorption coefficient of the coarse grained component, with the aid of a correction function which is derived by comparison of corresponding values in the first transmission equation and in a further transmission equation which defines the selected relation as a function of the particle sizes of the coarse grained component in order to provide a corrected determination relative to that component.

Apparatus for determining the average density or volume percentage of at least one coarse grained component of a multicomponent mixture by gamma transmission analysis, comprising:

• means including at least one gamma radiation source for irradiating the mixture with gamma radiation;
• means including at least one gamma radiation detector for detecting the transmitted radiation;
• and means connected to said detector for evaluating a selected relation between the transmitted and detected radiation intensities to determine the average density or volume percentage by using a first transmission equation which defines the selected relation as a function of the average density or volume percentage in homogeneous mixtures, said means for evaluating being operative to transform the values resulting from solving the first equation, or a selected term thereof, with the aid of a correction function which is derived by comparison of corresponding values in the first transmission equation and in a further transmission equation which defines the selected relation as a function of the particle sizes of the coarse grained component in order to provide a corrected determination relative to that component.