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CONTRIBUTION OF MACHINE LEARNING METHODS TO THE CHARACTERIZATION OF MULTIPHASE FLOWS BY IMAGE ACQUISITION AND ANALYSIS

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CONTRIBUTION OF MACHINE LEARNING METHODS TO THE CHARACTERIZATION OF MULTIPHASE FLOWS BY IMAGE ACQUISITION AND ANALYSIS

Contact: Fabrice Lamadie , Johan Debayle ††

Images of multiphase flows: liquid-liquid (a) and gas-liquid (b) with complex morphology

PHD SUBJECT: CONTEXT AND OBJECTIVES

This PhD thesis is carried out by the Laboratoire de Génie Chimique et Instrumentation (LGCI), of the Department of Research on Processes for Mining and Fuel Recycling at CEA Marcoule, and the Laboratoire Georges Friedel (LGF), a joint research unit of the CNRS, UMR 5307. It is part of the studies carried out by the CEA on the modelling of hydrometallurgical reprocessing/separation processes, and the LGF studies on the characterization of particulate systems.

Currently, process design at CEA is based on an approach involving numerous numerical and experimental developments. These experimental tests are carried out on prototypes, with phenomenological analyses based on fluid mechanics and process engineering. In fact, and even if the current process for treating nuclear fuels has been developed at the cost of numerous experimental campaigns with prototypes up to industrial scale, the development of future processes is based on an approach that makes extensive use of simulation and non- destructive experimental methods.

On the experimental level, we therefore seek to characterize as completely and as finely as possible a multiphase flow in which a transfer occurs between phases (dispersed: drops, solids or bubbles, and continuous: liquid). This requires the non-intrusive measurement of a certain number of kinetic parameters (phase velocities), dimensional parameters (granulometry and morphology of the dispersed phase) and exchanges between the phases (compositions). The

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dynamic quantities are accessible with proven laser techniques such as imaging velocimetry or particle tracking [1].

The geometrical and morphological characterization of the dispersed phase requires research and development which is precisely the subject of this PhD thesis. To this end, the two laboratories have started the development, notably through a previous thesis [2-4], of an approach combining image acquisition and processing adapted to the characterization of dense and polyphasic particle flows in process engineering devices. This exploratory work has demonstrated, among other things, the interest of direct visualization associated with image processing by stochastic geometry. To date, this approach is one of the only means of obtaining information, in particular particle volume density, at retention levels representative of process operating conditions (e.g., between 10 and 15% dispersed phase in the case of liquid-liquid extraction in pulsed column) and should be continued and developed further.

Today, due to the increasing complexity of future processes which frequently involve two or three phases and fluids with less favourable properties (viscosity, surface tension, etc.), it is necessary to move towards better detection/description of the dispersed phase (drops/bubbles/crystals) for increasingly dense populations of objects with increasingly complex shapes.

On the other hand, notably due to the rapid progress in the computational capacities of digital machines, deep learning methods by training neural networks have more and more applications in signal and image processing in particular [5]. Consequently, they constitute one of the most promising ways to overcome most of the limitations encountered today in this field.

The objective of this PhD project is therefore to explore approaches combining stochastic geometry and machine learning to characterize the geometry/morphology of the dispersed phase in multiphase flows.

In concrete terms, this doctoral thesis, which is numerically dominated, but also includes experimental aspects, should explore the contribution of these methods along two lines:

1. The improvement of image processing by stochastic geometry by exploiting the potentialities of deep learning to link model properties to these realizations. The main idea is to take advantage of the potentialities of learning methods to overcome the difficulties encountered in dense flows with particles of complex shapes (spheroids, spherical caps, ellipsoidal caps, etc.) and dispersed non-uniformly in space.

2. The interest of these methods for the recognition and classification of the nature of particles in multiphase flows with several natures of phases dispersed within a flow (typically gas/solid flows within a liquid phase).

Depending on the progress of the work, the application of these methods to other imaging techniques used by LGCI to characterize flows, notably lensless imaging [6, 7], may also be explored.

STATE-OF-THE-ART

At present, automatic learning approaches (SVM, artificial neurons, Bayesian networks,

convolutional neural networks) [13] have shown their ability to recognize shapes present in

images. This is particularly true for convolutional neural networks specifically developed and

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studied for image segmentation, notably the U-Net model [14]. However, these processing methods remain limited in the presence of superimposed objects in images. In this case, specific approaches can be implemented [15, 16, 17]. They exploit local and specific information such as the characteristics of the center of the objects to be detected (e.g. the nucleus in the case of cells [16]) or variations in the grey levels of the image (e.g. differences in intensity in overlapping areas [15]). Their important developments and recent progress reinforce the idea that they deserve to be explored in order to address the problems of characterizing the geometry of the dispersed phase in dense multiphase flows studied by LGCI.

However, in the case of some of the applications considered in this thesis, the images being highly contrasted and close to binary, we can think that their use as is will remain delicate.

In a previous thesis [2-3] we have shown the interest of stochastic geometry [8-10] for the characterization of the geometry/morphology of the dispersed phase of dense polyphasic media. To describe it in a simplified way, the goal of these approaches is to geometrically model the population of particles by random sets in order to simulate synthetic images representative of real data. The convergence between the simulated images and the experimental acquisitions ensures that the model parameters are representative of the observed particle population. These approaches address some limitations related to the particle population density by providing, indirectly and without any individualisation step, the morphometric characteristics of the individual particles (mean area, mean perimeter, number, etc.) [11, 12]. They are based on mathematical models such as the Boolean model (well known but not generally representative of physical reality), for which there are analytical formulae (Miles formulae) that explicitly allow the parameters of any model to be fitted to the data [9].

However, in the case of more flexible random geometrical models (Matern, Quermass, Gibbs...) [11] and particularly adapted to images of polyphasic flows, a numerical optimization process is necessary to achieve this adjustment. The main difficulties of this step are the choice of the cost function and the initialization of the process in order to avoid a convergence towards local optima. In this case, learning methods could be an efficient alternative to establish these fitting relations of the model to the data. Indeed, the use of random geometric models of known parameters allows to easily simulate a large image base particularly adapted to training methods. It therefore seems conceivable to exploit these approaches to build a robust classifier linking the properties of the 3D model to the simulated images. From a real image, this classifier would allow the identification of the parameters of the underlying model and consequently the geometric/morphometric distribution of the dispersed phase. Domain adaptation techniques (transfer learning) [18] could be used for this step.

MAIN POINTS OF THE PHD WORK

Supervised by Johan Debayle (Professor at the Ecole des Mines, Saint-Etienne), the work for this thesis will essentially be carried out within the LGCI, with Fabrice Lamadie (Research Engineer at the CEA, Marcoule) as co-supervisor. Theoretical work will be carried out within the two teams according to needs; experimental tests will be carried out at LGCI, which has the skills and tools associated with them.

At the end of this thesis, the tools set up will have to allow access to the geometrical

parameters of the dispersed phase: evolution of the particle size distribution, morphology and

morphological transition, etc. The first studies will be carried out on synthetic images and on

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the basis of real images of polyphasic flows already present at the LGCI. Targeted and specific experiments will also be carried out according to the validation needs of the treatment method.

In collaboration with the teams of the two laboratories, the PhD student will have to carry out various tasks (see schedule):

1. Carry out an in-depth bibliographical study on image processing by deep learning, focusing particularly on the characterization of flows.

2. Define a deep learning method adapted to the processing of stochastic geometry images acquired on dense and complex flows.

3. To evaluate the contribution of this new approach compared to the previous work of the two teams.

4. To study the interest of these methods for the recognition and classification of the nature of particles in multiphase flows

5. To carry out data acquisition on real complex multiphase systems with high phase density dispersed and evolutionary, i.e. integrating interpenetration, coalescence or particle rupture.

6. To synthesize the results obtained: techniques and models, inputs for processes, valorization of the results obtained through publications in scientific journals, international and national conferences.

SCHEDULE

(T0 : thesis starting date) T0+6 T0+12 T0+18 T0+24 T0+30 T0+36 (1) Bibliographical study

(2) Coupling deep learning methods and stochastic geometry for complex flow characterization (3) Evaluation of the contribution of

the studied processes at the LGCI and the LGF

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Study of the interest of these methods for the recognition and

classification of the nature of particles in multiphase flows (5) Data acquisition on real

polyphasic and scalable systems.

(6) Acquisition of dissolution and/or precipitation data on real

systems

(7) Global synthesis and thesis

writing

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CONTACT

Fabrice Lamadie (CEA/DEN/DMRC/SA2I/LGCI) CEA / Marcoule

30207 Bagnols-sur-Cèze Cedex Tel : +(33) 466-796-597 Mèl : fabrice.lamadie@cea.fr

††Johan Debayle (ENSM-SE) 158 cours Fauriel, CS 62362 42023 Saint-Etienne Cedex 2 Tel : +(33) 534-323-637 Mèl : debayle@emse.fr

Bibliography

[1] Charton, Couerbe, Lamadie (2019), " Multiphase flow in subcritical geometry: a combined numerical and experimental study", Progress in Nuclear Energy.

[2] de Langlard (2019), “La géométrie aléatoire pour la caractérisation de populations denses de particules:

application aux écoulements diphasiques”, thèse de doctorat.

[3] de Langlard, Lamadie, Charton and Debayle (2018): “A 3D stochastic model for geometrical characterization of particles in two-phase flow applications“, Image Analysis and Stereology.

[4] de Langlard, Al-Saddik, Charton, Debayle, Lamadie (2018): “An Efficiency Improved Recognition Algorithm for Highly Overlapping Ellipses: Application to Dense Bubbly Flows”, Pattern Recognition Letters.

[5] LeCun, Bengio, Hinton (2015): “Deep learning”, Nature.

[6] Sentis, Bruel, Charton, Onofri, Lamadie (2017), “Digital in-line holography for the characterization of flowing particles in astigmatic optical system”s, Optics and Lasers in Engineering.

[7] Yevick, Hannel, Grier (2014), “Machine-learning approach to holographic particle characterization”, Optics Express.

[8] Chiu, Stoyan, Kendall and Mecke (2013), “Stochastic geometry and its applications”, 2013.

[9] Molchanov (1997) “Statistics of the Boolean Model for Practitioners and Mathematicians”, Wiley.

[10] Michielsen and Raedt (2001),”Integral geometry morphological image analysis”, Physical Reports.

[11] Schneider and Weil (2008), “Stochastic and Integral Geometry”, Springer.

[12] Berchtold. (2008), “Modelling of Random Porous Media using Minkowski Functionals”, PhD Thesis, ETH Zurich.

[13] Bishop (2006), “Pattern Recognition and Machine Learning”, Springer.

[14] Ronneberger, Fischer , Brox (2015), “U-Net: Convolutional Networks for Biomedical Image Segmentation”, proceedings of MICCAI 2015.

[15] Hu, Karnowski, Fadely, Pommier (2017), “Image Segmentation to Distinguish Between Overlapping Human Chromosomes”, Proceedings of the Neural Information Processing Systems Workshop.

[16] Lu, Carneiro, Bradley, Ushizima, Nosrati, Bianchi, Carneiro, Hamarneh (2017), “Evaluation of three algorithms for the segmentation of overlapping cervical cells,” IEEE journal of biomedical and health informatics.

[17] Böhm, Ucker, Jager, Ronneberger Falk (2018), “ISOODL: Instance segmentation of overlapping biological objects using deep learning”, International Symposium on Biomedical Imaging.

[18] Ben-David, Blitzer, Crammer, Kulesza, Pereira, Wortman Vaughan (2010), “A theory of learning from

different domains”, Machine Learning Journal.

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