**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.

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