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:

Assoc. Prof. Dr. Orchidea Maria Lecian graduated in Thoeretical Physics at Sapienza University of Rome and ICRA, where sha also defended her PhD Thesis in Relativistic Astrphysics. She was poast-doctoral fellow at IHES, Bures-sur-Yvette, and iat Sapienza Univeristy of Rome. She participated in several intensive-research programs at Centre Emil Borel, Paris, at AEI-MPI Golm, at The Fields Institute for Research in Mathematical Sciences, Toronto, and at UPO in Vercelli.

She has been International Reserarcher and appointed Erasmus Lecturer at Comenius University, Bratislava as SAIA NS'P Fellow. She was Assistant professor at Sapienza Unviersity of Rome, and she was Visiting Professor at Kursk State Unviersity, Russia, with the Programme Education in Russia of the Russian Federtion. She has been Associate Professor at Sapienza University of Rome. She is memeber of diverse research consortia. She was awarded several scientific prizes. She has particpated in several national confrences and international ones. She is author of research papers, conference papers, review papers, invited papers, six books, encyclopedia entries and one book-chapter. She has participated as editor and as reviewer in several international Journals.