Hydrocracking theory and technology

Title : Hydrocracking theory and technology

Abstract:

I develop a the mathematical framework for the catalytic hydrocracking of heavy materials, targeting vacuum residues sourced from petroleum and coal origins. The systematic valorization of these complicated heavy fractions revolves around essential industrial chemical goals, such as dramatically reducing medium viscosity, decreasing fraction boiling regimes, ensuring successful metal removal, uniforming underlying molecular contaminants, and elevating the total hydrogen-to-carbon ratio. Drawing upon early established examples of metal-catalyzed hydrocracking setups, this study simulates these complicated multi-phase chemical pathways using a precise mathematical setup rooted completely within the characteristics of Markov chains.

Departing markedly from conventional modeling procedures outlined in prior works, this study implements a Galerkin approach for the transition probability matrix. This particular operator is formulated from the fundamental matrix characterizing the chemical refining system itself. This specific mathematical architecture offers an unparalleled benefit for precisely capturing the continuous time-varying progression of both the inherent eigenvalues and the process Mean First Passage Times. This preferred probability operator form is clearly distinct from and non-equivalent to earlier classical structures. By modifying how the temporal progression of the constituent state vectors is mathematically formulated, this methodology generates considerably enhanced stability. For example, implementing this distinct Galerkin approach to the standard Alberty Case II system rigorously demonstrates that unphysical computational fluctuations are entirely suppressed.

The general organization of the work starts with an examination of MacDonald hydrocracking models prior to broadening into an exhaustive procedural analysis. The methodlogies of the Passage Times are used. This preferred probability operator form is clearly distinct from and non-equivalent to earlier classical structures. By modifying how the temporal progression of the constituent state vectors is mathematically formulated, this methodology generates considerably enhanced stability. For example, implementing this distinct Galerkin approach to the standard Alberty Case II system rigorously demonstrates that unphysical computational fluctuations are entirely suppressed.

Biography:

Prof. Orchidea Maria Lecian graduated in Theoretical Physics at Sapienza University of Rome and ICRA- International Center for Relativistic Astrophysics in 2005 and completed her International Relativistic Astrophysics Phd at Sapienza University and ICRA. She was post-doctoral Fellow at IHES (Bures-sur-Yvette, France), AEI-MPI (Potsdam-Golm, Germany) and Sapienza University of Rome. She has taken part in intensive research programmes at AEI-MPI (Potsdam-Golm, Germany) and The Fields Institute for Research in Mathematical Sciences (Toronto, Canada). She has been researcher for  SAIA- NS'P (The National Scholarship Programme of the Slovak Republic- National Stipendium Program) as Research grantee and appointed Erasmus Lecturer at Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics, Department of Theoretical Physics and Physics Education- KTFDF.

She has been Assistant Professor at Sapienza University of Rome and is Professor at Sapienza University of Rome. She is wasVisiting Professor at Kursk State University, Chair of Algebra, Geometry and Didactics of Mathematics Theory within the Programme Education in Russia for Foreign Nationals of the Ministry of Science and Higher Education of the Russian Federation in 2022-2023. She has contributed in national conferences and international conferences. She is member of several Research Consortia. She is author of research papers, conference papers, review papers, invited papers and two books. She is reviewer and editorial-board member of several Journals.