**Viktoria Savatorova**

Senior Research Fellow

Department of Applied Mathematics

National Research Nuclear University «MEPhI»

Office address: Kashirskoye shosse, 31, 115409 Moscow, Russia

Phone: +7(903)233-68-75;

Visiting Faculty

Department of Mathematical Sciences

University of Nevada Las Vegas

Office address: 4505 S. Maryland Parkway, CDC, Building 9, Room 906, Mail Stop 4020

Las Vegas, NV 89154-4001

E-mail: vsavatorova@gmail.com

**EDUCATION:**

Habilitation (Doctor of Science in Physics and Mathematics),

Moscow State Mining University, Russia (2011)

Dissertation: «Mathematical modeling of the processes of heat conductivity and filtration in non-uniform media, having periodical structure».

Ph.D. Physics and Mathematics

Moscow Engineering Physics Institute, Moscow, Russia (1996)

Dissertation: «Mathematical modeling of the local phase

transitions in media with structural inhomogeneities».

Advisor: Dr. Kudryashov N.A.

M.S. Applied Physics and Mathematics with distinction

Moscow Institute of Physics and Technology, Moscow, Russia (1991)

Advisor: Dr. Rutkevich I.M.

B.S. Applied Physics and Mathematics with distinction

Moscow Institute of Physics and Technology, Moscow, Russia (1989)

**POSITIONS HELD:**

2013 Senior Research Fellow,

Department of Applied Mathematics,

National Research Nuclear University «MEPhI», Moscow, Russia

2014 Visiting Faculty,

Department of Mathematical Sciences,

University of Nevada Las Vegas, USA

2013- 2014 Visiting Research Fellow,

Institute of Scientific Computations

Department of Mathematics,

Texas A&M University, College Station, USA

2008-2013 Associate Professor,

Department of Physics,

National Research Nuclear University «MEPhI», Moscow, Russia

2005-2008 Associate Professor,

Department of Physics and Technology,

Moscow State Mining University, Moscow, Russia

1999-2005 Assistant Professor,

Department of Physics and Technology,

Moscow State Mining University, Moscow, Russia

1996-1999 Researcher & Lecturer,

Department of Physics and Technology,

Moscow State Mining University, Moscow, Russia

1993-1996 Research & Teaching assistant,

Department of Physics and Technology,

Moscow State Mining University, Moscow, Russia

1991-1993 Research assistant,

High Temperature Institute Russian Academy of Sciences, Moscow, Russia

**RESEARCH INTERESTS:**

Applied physics and mathematics, mathematical modeling of mechanical and thermodynamic processes in the heterogeneous media, multiscale modeling, materials with heterogeneous structure, geological materials, composite materials, porous media, filtration, homogenization techniques

**RESEARCH EXPERIENCE**

2013 Senior Research Fellow,

Department of Applied Mathematics,

National Research Nuclear University «MEPhI», Moscow, Russia

Mathematical and numerical methods of modeling fluid flow through porous media (oil and shale gas filtration, multiscale modeling)

2014 Visiting Faculty,

Department of Mathematical Sciences,

University of Nevada Las Vegas, USA

Mathematical and numerical methods of modeling fluid flow through porous media

2013-2014 Visiting Research Fellow,

Institute of Scientific Computations

Department of Mathematics,

Texas A&M University, College Station, USA

Multi-scale modeling of gas transport through porous media (shale gas modeling)

2008- 2013 Associate Professor

Department of Physics,

National Research Nuclear University «MEPhI», Moscow, Russia

Dissertation: «Mathematical modeling of the processes of heat conductivity and filtration in non-uniform media, having periodical structure».

Multi-scale modeling of geological, composite materials and porous structures. Developing of the models for the investigation of thermo-mechanical processes and filtration in media with structural heterogeneities.

1993-2008 Department of Physics and Technology

Moscow State Mining University, Moscow, Russia

Dissertation: «Mathematical modeling of the local phase transitions in media with structural inhomogeneities».

Applied the asymptotical averaging technique to study the problem of heat transfer in media with structural heterogeneities. Developed a method for modeling of the local phase transitions. Found an exact solution for semi-infinite media, modeling geological materials.

1991-1993 Research assistant,

High Temperature Institute Russian Academy of Sciences,

Moscow, Russia

Modeling of the processes of heat- mass exchange in structural materials.

Development of the models of state equations.

1989-1991 Graduate Research assistant,

Moscow Institute of Physics and Technology, Moscow, Russia

Using Galerkin method to solve partial differential equations.

**TEACHING EXPERIENCE**

Over 20 years of teaching experience; about 15 methodological publications

2014 - present Department of Mathematical Sciences,

University of Nevada Las Vegas, USA

Visiting Faculty

2008-2013 Department of Physics,

National Research Nuclear University «MEPhI», Moscow, Russia

Associate Professor

2008 - present Graduate students» superviser

1993-2008 Department of Physics and Technology

Moscow State Mining University, Moscow, Russia

Over 15 years of teaching experience: received outstanding reviews from students.

1999-2008 Graduate students’ superviser

Undergraduate Courses Taught (up to 160 students):

- Mechanics

- Statistical Physics and Thermodynamics

- Electricity and Magnetism

- Oscillations and Waves

- Quantum Mechanics (Introduction)

- College Algebra

- Precalculus

- Calculus

- Partial Differential Equations

Graduate Courses Taught (up to 50 students):

Heterogeneous Media: Mechanics and Thermodynamics

- Moscow State Mining University: Physics of heterogeneous media, lectures for Graduate students

**HONORS & AWARDS**

• Fulbright Program, Research Grant: Development of a Modern Course «Physics of Heterogeneous Media» Based on the Experience of Scientific Research and Teaching in Universities of the United States and Russia. Texas A&M University-College Station, Department of Mechanical Engineering, College Station, TX, c/o Dr. K.R. Rajagopal, January 2010 - July 2010

• Program «Mikhail Lomonosov», Ministry of Education and Science of the Russian Federation and the German Academic Exchange Service, Research Grant «Multiscale modeling of highly heterogeneous industrial materials». Fraunhofer ITWM, Kaiserslautern, Germany, c/o Dr. Oleg Iliev, September 2011 - December 2011

**PUBLICATIONS: **

BOOK CHAPTERS

Vlasov A. N., Savatorova V. L., Talonov A. V. The modeling of physical processes in structure heterogeneous media. //Peoples» Friendship University of Russia, Moscow, 2009, 258 pp.

ARTICLES IN REFERRED JOURNALS

1. Savatorova V. L., Talonov A. V., Vlasov A. N., Volkov-Bogorodsky D. B. Multiscale modeling of gas flow through organic-rich shale // Composites: Mechanics, Computations, Applications. An International Journal. – 2016, 7(1), p. 1-26.

2. Savatorova V. L., Talonov A. V., Vlasov A. N., Volkov-Bogorodsky D. B. Brinkman»s filtration of fluid in rigid porous media: multiscale analysis and investigation of effective permeability // Composites: Mechanics, Computations, Applications. An International Journal. − 2015, 6(3), p. 239-264.

3. Akkutlu I. Y., Efendiev Y., Savatorova V. Multi-scale Asymptotic Analysis of Gas Transport in Shale Matrix//Transport in Porous Media. v. 106(2). − 2015. DOI 10.1007/s11242-014-0435-z

4. Brown D. L., Efendiev Y., Li G., Savatorova V. Homogenization of high contrast Brinkman flows// SIAM Multiscale Model. Simul. − 2015, 13(2), p. 472–490.

5. Savatorova V. L., Talonov A. V., Vlasov A. N., Volkov-Bogorodsky D. B. Averaging of the nonstationary equations of viscous substance filtration through a rigid porous medium// Composites: Mechanics, Computations, Applications. An International Journal. − 2014, 5(1), p. 35-61.

6. Brown D., Efendiev Y, Li G., Popov P., Savatorova V. Multiscale Modeling of High Contrast Brinkman Equations with Applications to Deformable Porous Media // Poromechanics V, p. 1991-1996, ASCE 2013.

7. Savatorova V. L., Talonov A. V., Vlasov A. N., Volkov-Bogorodsky D. B. Averaging of time-dependent equations of viscous fluid filtration in non-deformable porous medium // Composite mechanics and design. − 2013. − v. 19. − № 4. − p. 535-555.

8. Savatorova V. L., Vlasov A. N. Modeling of viscous fluid filtration in porous media with cylindrical symmetry//Composites: Mechanics, Computations, Applications. An International Journal. − 2013, 4(1), p. 75-96.

9. Kudryashov N. A., Kochanov M. B., Savatorova V. L. Approximate self-similar solutions for the boundary value problem arising in modeling of gas flow in porous media with pressure dependent permeability // Applied Mathematical Modelling. − 2013, v. 37, issue 7, p. 5563-5573.

10. Savatorova V. L., Talonov A. V., Vlasov A. N. Homogenization of thermoelasticity processes in composite materials with periodic structure of heterogeneities // ZAMM Z. Angew. Math. Mech. − 2013, v. 93, № 8, p. 575-596(2013) DOI 10.1002/zamm.201200032

11. Savatorova V. L., Talonov A. V., Vlasov A. N., Volkov-Bogorodsky D. B. Transient flow of compressible barotropic fluid in rigid porous medium // Composite mechanics and design (special issue: Proceedings of the IV All-Russian symposium «Composite mechanics and design», Moscow, Institute of Applied Mechanics of Russian Academy of Sciences, December 4-6). − 2012. − v. 1, p. 214-230.

12. Savatorova V. L., Talonov A. V., Vlasov A. N., Volkov-Bogorodsky D. B. Multiscale modeling of thermoelastic properties of composites with periodic structure of heterogeneities // Materials Physics and Mechanics. − 2012, v. 13, p. 130-142.

13. Savatorova V. L., Talonov A. V., Vlasov A. N., Volkov-Bogorodsky D. B. Homogenization of nonlinear heat conductivity equation for modeling of conductive heat transfer in layered materials // Composite mechanics and design (special issue: Proceedings of All-Russian Conference «Mechanics of nano- structured materials and systems», Moscow, December 13-15). − 2011. − v. 2. − p. 77-88.

14. Savatorova V. L., Rajagopal K. R. Homogenization of a generalization of Brinkman»s equation for the flow of a fluid with pressure dependent viscosity through a rigid porous solid // ZAMM Z. Angew. Math. Mech. − 2011, v. 91, № 8, p. 630-648.

15. Savatorova V. L., Talonov A. V., Vlasov A. N. Averaging of Brinkman»s filtration equations in layered porous media.// Composite mechanics and design. − 2010. − v.16. − № 4. − p. 483-502.

16. Savatorova V. L., Beliy A. A. Mathematical modeling of heat transfer in heterogeneous media with periodic structure // Mining information-analytic newsletter. Preprint. − 2010. − № 9. – 98 p.

17. Savatorova V. L. Mathematical modeling of the filtration of fluid through porous medium with periodic structure // GIAB. Preprint. − 2010.− № 9. – 61 p.

18. Savatorova V. L. Homogenization of the filtration equations in incompressible medium with periodic pores» structure // Herald of the Pacific state university. −2010. − № 4 (19). − p. 53-60.

19. Savatorova V. L. Solution of coupled problems of heat conductivity and filtration in layered heterogeneous medium // Scientific-technical journal of the Saint-Petersburg state polytechnic university. − 2010. − № 4 (109). – p.76-86.

20. Savatorova V. L., Talonov A. V., Vlasov A. N., Volkov-Bogorodsky D. B. Mathematical simulation of heat transfer in a periodic medium with cylindrical inclusions separated from the matrix by a thin contact layer //Herald of the Nizhny Novgorod university named after N. I. Lobachevsky. − 2010. − № 6. − p. 178-185.

21. Savatorova V. L., Talonov A. V., Shirochin D. L. Propagation of melting front in structurally heterogeneous media having phase transitions of inhomogeneities // ZAMM Z. Angew. Math. Mech. − 2010, v. 90, № 4, p. 309-322.

22. Vlasov A. N., Savatorova V. L., Talonov A. V. Averaging of the heat conduction equations with account for the convective mechanism of heat transfer. //Composites: Mechanics, Computations, Applications. An International Journal. − 2010, v. 1, № 2, p. 1-21.

23. Balueva M. A., Blohin D. I., Savatorova V. L., Talonov A. V., Sheinin V. I. The modeling of influence of micro cracks in loaded geological materials on variations in temperature. //Journal of Mining Science. − 2009, № 6, p. 55-60.

24. Vlasov A. N., Savatorova V. L., Talonov A. V. Homogenization of heat transfer equations, considering convective mechanism of heat transfer // Composite mechanics and design. − 2009. − v. 15. − № 1. − p. 17-31.

25. Savatorova V. L., Talonov A. V. Investigation of phase transitions in media with structural inhomogeneity // .Acta mechanika. − 2004. − № 9.

26. Savatorova V. L., Talonov A. V. The influence of the field of tension on processes of local phase transition in media with structural inhomogeneity // The problems of the strength of elements and constructions under the loading. Saratov. SSTU, 2003. − p. 149-156.

27. Uhov S. B., Vlasov A. N., Lisin L. D., Merzliakov V. P., Savatorova V. L. Ice melting in frozen soils due to local tensions // Earth Cryosphera. − 1997. − v. 1. − № 3. − p. 35-38.

28. Vlasov A. N., Merzliakov V. P., Savatorova V. L., Talonov A. V., Uhov S. B. Local phase transitions and filtration as processes, predetermining the reology of frozen soils. // The Reports of Academy of Sciences/ Earth Science Section. − 1996. − v. 349. − № 6.− p. 758-760.

29. Vlasov A. N., Savatorova V. L., Talonov A. V. Local phase transitions in heterogeneous medium under the influence of external tension // Composite mechanics and design.-1996. − v. 2. − № 2. − p. 125-137.

30. Uhov S. B., Vlasov A. N., Merzliakov V. P., Savatorova V. L., Talonov A. V. Several processes, predetermining reological behaviour of frozen soils under the external tension // Base, foundations and mechanics of soils. − 1996. − № 2. − p. 14-19.

31. Vlasov A. N., Savatorova V. L., Talonov A. V. Analytical methods of investigation of phase transitions in media with heterogeneous structure // Composite mechanics and design. − 1995. − v. 1. − № 2.

32. .Vlasov A. N., Savatorova V. L., Talonov A. V. Asymptotical averaging in problems of phase transitions and heat transfer in media, consisting of layers of different materials. // Applied Mathematics and Theoretical Physics. − 1995. − v. 36. − № 5. − p. 155-163.

CONFERENCE PROCEEDINGS

1. Savatorova V., Talonov A., Vlasov A., Volkov-Bogorodsky D. Multi scale averaging of equations describing transport of gas phase in a porous medium // Proceedings of the Conference «Mechanics of composite materials and structures, complex and heterogeneous media», Moscow, Institute of Applied Mechanics of Russian Academy of Sciences, December 15-17, 2015, p. 544-545.

2. Savatorova V. L., Kossovich E. L., Talonov A. V. A Multi-scale Approach to Modeling of Gas Transport in Shales // Proceedings of the SIAM Conference on Mathematics & Computational Issues in the Geosciences, Stanford, California USA, June 29 - July 2, 2015, p. 89.

3. Kossovich E. L., Talonov A. V., Savatorova V. L. Multi-scale Asymptotic Analysis of Gas Transport in Porous Media//Proceedings of the 7th International Conference on Porous Media, Padova, 18th - 21st May, 2015.

4. Savatorova V. L., Efendiev Y., Akkutlu I. Y. Modeling of gas transport in organic-rich recourse shales // Proceedings of AMS conference. Spring Western Sectional Meeting, University of Nevada Las Vegas, April 18-19, 2015, p. 87.

5. Savatorova V. L. Moscow school of mathematics: history of the origin, the heyday and the disintegration of the legendary Luzitania // Proceedings of AMS conference. Spring Western Sectional Meeting, University of Nevada Las Vegas, April 18-19, 2015, p. 60.

6. Kossovich E., Talonov A., SavatorovaV., Safonov R. Determination of mechanical properties of chitosan matrix bionanocomposites with help of multiscale hybrid methods of molecular modeling //Proceedings of the 4th Conference « Methods of mathematical physics and mathematical modeling of physical processes», Scientific Session of the NRNU «MEPhI», February, 18-21, 2015.

7. Kossovich E., Talonov A., Savatorova V. Modeling of gas transport in nano- and microporous heterogeneous media // Proceedings of the 4th Conference «Methods of mathematical physics and mathematical modeling of physical processes», Scientific Session of the NRNU «MEPhI», February, 18-21, 2015.

8. Savatorova V., Talonov A., Vlasov A. Rheology of shales: Three-scale model of gas phase transport in a porous media// Proceedings of the Conference «Mechanics of nano- structured materials and heterogeneous systems», Moscow, Institute of Applied Mechanics of Russian Academy of Sciences, December 23, 2014, p. 8-17.

9. SavatorovaV. L., Talonov A. V. Mathematical modeling of the transport of gase phase in kerogen//Proceedings of the 3nd Conference « Methods of mathematical physics and mathematical modeling of physical processes», Scientific Session of the NRNU «MEPhI», January, 27-February, 1, 2014, p.231.

10. Savatorova V. L., Talonov A. V., Vlasov A. N., Volkov-Bogorodsky D. B. Rheology of shales: transport of gas phase in kerogen nanopores // Proceedings of the 2nd Conference «Mechanics of nano- structured materials and systems». Moscow, Institute of Applied Mechanics of Russian Academy of Sciences, December 17-19, 2013.

11. Brown D., Li G., Efendiev Y., Savatorova V. Multiscale modeling of High Contrast Brinkman Equations with Applications to Deformable Porous Media // Proceedings of the 5th Biot Conference on Poromechanics, 10-12 July, 2013, Viene.

12. Savatorova V. L., Talonov A. V., Vlasov A. N. Homogenization in case of transient motion of a fluid through a porous medium.// Proceedings of the SIAM Conference on Mathematics & Computational Issues in the Geosciences, Department of Mathematics University of Padova, Italy, June 17-20, 2013, p.79.

13. Brown D., Li G., Efendiev Y., Savatorova V. Homogenization of High-Contrast Brinkman Flows // Proceedings of the 5th International Conference on Porous Media, Czech Technical University in Prague, 22nd-24th. May, 2013.

14. Savatorova V. L., Talonov A. V., Vlasov A. N., Volkov-Bogorodsky D. B. Upscaling in case of transient motion of a compressible fluid through a porous medium // Proceedings of the 5th International Conference on Porous Media, Czech Technical University in Prague-22nd-24th May, 2013.

MEMBERSHIPS IN PROFESSIONAL SOCIETIES

- Russian Academy of Natural Sciences, academician

- Society for Industrial and Applied Mathematics, member

- SIAM Activity Group on Geosciences, Flow in Porous Media and Geophysics (SIAG Geosciences), member

- American Mathematical Society, member

- Interpore, International Society for Porous Media, member

OTHER PROFESSIONAL ACTIVITIES

• Member of the «Up-to-date Mathematical Problems» Seminar, National Research Nuclear University «MEPhI», Moscow, Russia.

• Member of the Seven Professors» «Nonlinear Mathematical Models» Seminar, National Research Nuclear University «MEPhI», Moscow, Russia.

• Member of the scientific research Seminar under the guidance of academician Shemiakhin E.I, MSU, Moscow, Russia.

• Organizer of the «Mathematical Modeling of Physics Processes» Seminar Series at Physics Department, Moscow State Mining University, Moscow, Russia, 2006-2008.

• Qualifying Examination Committee, Moscow State Mining University, Moscow, Russia, 2005-2008.

• A member of the three-person panel that selects participants of the Cargill Global Scholars Program in Russia

FUNDED RESEARCH PROGRAMS

• «Modeling of mass transfer in porous materials based on advanced multi-scale methods of description of the properties of heterogeneous media», $125,000. Sponsor: Russian Foundation for Basic Research № 15-05-05960 as Co-PI (2015-2017).

• Federal target program «Research on priority directions of scientific-technological complex of Russia». Project # 2014-14-576-0051-25 «Scientific and methodological development of methods for monitoring and prediction of risks of spontaneous combustion of coal and loss of its quality during storage and transport. Reduction of anthropogenic impact on the environment», $838,000 (2014-2017), as co-PI.

• Program «Research and development on priority directions of scientific-technological complex of Russia for 2007-2013» in the framework of the Russian-American Presidential Commission and / or performing joint research with NSF. The theme: «The development of mathematical models, methods and software systems for the description of the filtration and thermal conductivity in inhomogeneous media with complex structure in order to implement applications in geophysics and development of new materials in cooperation with the University of Texas (TAMU) (2012-2013), as co-PI.

• «Multiscale modeling of highly heterogeneous industrial materials». «Mikhail Lomonosov II»- Programme: Research Grants and Research Stays for Doctoral Candidates and Young University Teachers from the Natural Sciences and Engineering, Target group B:-Research stays for postdoctoral university teachers (15.09.2011 to 15.12.2011), as PI.

• United States-Russia Program: «Improving Research and Educational Activities in Higher Education», Sponsor: US Department of Education and Russian Ministry of Education and Science, $332,000 funded as Co-PI ( from 2010-2013)

• «Establishing of the laws governing changing of morphologic and structural characteristics of Russian coals with the aim to ensure environmental safety in coalfields» exploitation». Project P1437. Research personnel and research and educational personnel of innovative Russia (2009 – 2013), as Co-PI.

• «The complex usage of termomechanical and acoustic emission effects for investigation of processes of geomaterials deformation and fracture», Sponsor: Russian Foundation for Basic Research №10–05–00687–а, as Co-PI

• United States-Russia Program: «Improving Research and Educational Activities in Higher Education», Sponsor: US Department of Education and Russian Ministry of Education and Science, $400,000 funded as Co-PI ( from 2006-2009)

• «Local phase transitions and moisture percolation as key processes in rheology of frozen soils», Sponsor: Russian Foundation for Basic Research № 96-05-65295 as Co-PI.