Method and apparatus for characterizing a medium using ultrasound measurements
Properties of a medium, such as its particle size distribution, are characterized using a measurement cell containing a medium between walls of the cell, with ultrasound transducers on opposite walls. Ultrasound is transmitted from the ultrasound transducers on both sides and transmission and reflection responses are detected. An ultrasound frequency dependent ratio of a Fourier transform value of a product of signals obtained from transmission responses in opposite directions and a Fourier transform value of a product of signals obtained from reflections at the transducers is computed. Preferably, the first received reflected and transmitted pulses in response to pulse excitation are used to compute the ratio. Ultrasound frequency dependent ultrasound speed and/or attenuation data of ultrasound in the medium are computed as a function of the ultrasound frequency from the ratio. This eliminates the effect of the walls.
1. A method of ultrasound reflection measurement using a measurement cell containing a medium and a first ultrasound transducer and a second ultrasound transducer on mutually opposite first and second walls of the cell respectively, the method comprising
transmitting ultrasound from the first ultrasound transducer to the second ultrasound transducer and from the second ultrasound transducer to the first ultrasound transducer, through the walls of the measurement cell and the medium between the walls, while the medium is present in the cell;
detecting a first and second reflection response, while the medium is present in the cell, using the first and second ultrasound transducer respectively in response to their own transmissions;
using the second and first ultrasound transducer to detect a first and second transmission response to the ultrasound, while the medium is present in the cell, transmitted by the first and second ultrasound transducer respectively;
computing an ultrasound frequency dependent ratio of a Fourier transform value of a product of signals obtained from the first and second transmission response and a Fourier transform value of a product of signals obtained from the first and second reflection response;
computing ultrasound frequency dependent ultrasound speed and/or attenuation data of ultrasound in the medium from said ratio as a function of the ultrasound frequency.
2. A method according to claim 1 , wherein said transmitting comprises transmitting a first ultrasound pulse from the first ultrasound transducer to the second ultrasound transducer and transmitting a second ultrasound pulse from the second ultrasound transducer to the first ultrasound transducer, a processing system obtaining the signals obtained from the first and second reflection response by extracting earliest received pulses the first and second reflection response.
3. A method according to claim 2 , wherein the processing system obtains the signals obtained from the first and second transmission response by extracting earliest received pulses the first and second transmitted response.
4. A method according to claim 1 , comprising estimating a particle size distribution of particles in the medium by using a processing system to apply an inverse modelling algorithm to the ultrasound frequency dependent ultrasound speed and/or attenuation data obtained from said ratio.
5. A method according to claim 4 , wherein the inverse modelling algorithm uses input data that depends on a derivative with respect to ultrasound frequency of the ultrasound speed represented by said ratio and/or on a derivative with respect to ultrasound frequency of the ultrasound attenuation represented by said ratio.
6. A method according to claim 5 , wherein the inverse modelling algorithm uses a forward model that predicts the derivatives of ultrasound frequency dependent ultrasound speed and attenuation dependent on the particle size distribution and a mass density of particles in the medium, the inverse modelling algorithm being used to obtain combined estimates of the particle size distribution and the mass density from the ultrasound frequency dependent ultrasound speed and/or attenuation data obtained from said ratio.
7. A method according to claim 1 , comprising growing the particles while the medium is circulated and detecting the first and second reflection response and the first and second transmission response during said growing.
8. A method according to claim 7 , comprising circulating the medium during said growing through a conduit in a probe bar that extends into the vessel, the walls being part of the conduit, the conduit running from an first opening to the vessel at an end surface of said bar to a second opening to the vessel on a side surface of said bar.
9. A non-transitory computer readable medium, comprising a computer program embodied thereon, the computer program comprising instructions for a programmable processing system that, when executed by the programmable processing system, will cause the programmable processing system to use detected ultrasound reflection and transmission response to compute ultrasound frequency dependent ultrasound speed and attenuation data according to the method of claim 1 .
10. An ultrasound measuring apparatus comprising
a first ultrasound transducer and a second ultrasound transducer;
a measurement cell for containing a medium and having a first and second wall defining an interior space between the first and second wall, the first and second ultrasound transducer being located on the first and second wall respectively, with the walls and the interior space between the transducers;
a processing system configured to
receive detected ultrasound responses from first and second ultrasound transducer, including a first and second transmission response received by the second and first transducer, while the medium is present in the cell, in response to ultrasound transmitted by the first and second ultrasound transducer respectively and a first and second reflection response received by the first and first transducer from the measurement cell, while the medium is present in the cell, in response to their own transmissions respectively; and to
compute an ultrasound frequency dependent ratio of a Fourier transform value of a product of signals obtained from the first and second transmission response and a Fourier transform value of a product of signals obtained from the first and second reflection response; and to
compute ultrasound frequency dependent ultrasound speed and/or attenuation data of ultrasound in the medium from said ratio as a function of the ultrasound frequency.
11. An ultrasound measuring apparatus according to claim 10 , wherein the first and second wall have flat surfaces facing the interior space.
12. An ultrasound measuring apparatus according to claim 10 , wherein the processing system is configured to cause the first and second ultrasound transducer to transmit ultrasound pulses, the processing system being configured to obtain the signals obtained from the first and second reflection response by extracting earliest received pulses the first and second reflection response to the transmitted pulses.
13. An ultrasound measuring apparatus according to claim 12 , wherein the processing system is configured to obtain the signals obtained from the first and second transmission response by extracting earliest received pulses the first and second transmitted response.
14. An ultrasound measuring apparatus according to claim 10 , wherein the processing system is configured to estimate a particle size distribution of particles in the medium by applying an inverse modelling algorithm to the ultrasound frequency dependent ultrasound speed and/or attenuation data obtained from said ratio.
15. An ultrasound measuring apparatus according to claim 14 , wherein the inverse modelling algorithm uses input data that depends on a derivative with respect to ultrasound frequency of the ultrasound speed represented by said ratio and/or on a derivative with respect to ultrasound frequency of the ultrasound attenuation represented by said ratio.
16. An ultrasound measuring apparatus according to claim 15 , wherein the processing system is configured to use a forward model in said inverse modelling algorithm that predicts the derivatives of the ultrasound frequency dependent ultrasound speed and attenuation dependent on the particle size distribution and a mass density of particles in the medium, the processing system is configured to use the inverse modelling algorithm to obtain combined estimates of the particle size distribution and the mass density from the ultrasound frequency dependent ultrasound speed and/or attenuation data obtained from said ratio.
17. An ultrasound measuring apparatus according to claim 10 , comprising a support structure with a channel through said support structure, part of a wall of the channel being formed by the walls of the measuring cell, the channel running from a first opening on a side surface of said support structure to a second opening in an end surface of said support structure, the end surface at the second opening forming a non-zero angle with the side surface at the first opening.
18. An ultrasound measuring apparatus according to claim 17 , wherein the support structure is a sensing bar, the first opening being located on a side surface the sensing bar and the second opening being located in a tip surface of the sensing bar.