# Sergei Fomin

- Professor
- California State University, Chico
- sfomin@csuch ico.edu

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## About me

Research: Participation (as a principal investigator (PI) or as a team member (TM)) in a number of research projects related to mathematical modelling of hydro‐mechanical, thermal, chemical and biological processes in application to different technological problems and natural phenomena.

Past and present research projects:

Mathematical modelling of contact melting and application of theoretical results for predicting and for improving the ice thermo‐drilling technology in Antarctica (PI). The project wassupported by the Arctic and Antarctic Institute, Russia.

Fluid flow within a medium of regular structure in application to cooling systems of electronic devices (TM). The project was supported by the leading manufacturer of radio‐electronic devices in the former USSR.

Theory of contact melting of solids with non‐linear rheology of the melt and temperature dependent physical properties in application to thermo‐drilling of rocks (PI). The project was supported by the Saint Petersburg Mining Institute.

Mathematical modelling of melting induced by the heat source of the thermite chemical reaction in application to the paraffin plug removal within oil wells (PI). The project was supported by Kazan Institute of Chemical Technology and National Science Council of Taiwan.

Contact melting of the phase‐change‐material inside the capsules of various shapes in application to thermal energy storage systems (TM). Supported by the JSPS Grant‐in Aid for Scientific Research, Japan

Mathematical modelling of rotational reactive flows of non‐Newtonian fluids in application to polymer rotational moulding (TM). Supported by the grant of Engineering and Physical Sciences Research Council of UK.

Numerical simulation of heat and fluid flows in a porous and fractured media in application to geothermal energy systems and contaminant flows (TM). Supported by the JSPS Grant‐in‐Aid for Scientific Research, Japan.

Analysis of non‐steady heat and mass transfer in the borehole and formation during drilling and production stages. Design and optimisation of the cooling system of drilling bit for deep drilling of a high‐temperature rock formation (TM). The project is supported by the JSPS Grant‐in‐Aid for

Scientific Research, Japan.

Rimming flows of non‐Newtonian fluids (PI). JSPS Grant‐in Aid for Scientific Research, Japan.

Application of differential equations with fractional derivatives for mathematical modelling of contaminant transport in a heterogeneous medium (PI). Supported by the 21st Century COE Program Grant of the International COE of Flow Dynamics from the Ministry of Education, Culture, Sports, Science and Technology, Japan.

Strengthening Underrepresented Minority Mathematics Achievement (SUMMA) Program. (Co_PI). Grant funded by MAA, Moody’s, NSF's NREUP and NSA. 2006.

Mathematical Modeling of a Coating Flow of Non‐Newtonian Fluid on a Rotating Surface, (PI), CSU Research Award for Fall 2005. (0.2 release time).

Mathematical Modeling of contaminant transport in a fractured porous aquifer. (PI) CSU Faculty Development grant (0.2 release time) for Spring 2007.

Preparation and submission to the publisher of the final version of the textbook: “Mathematical modeling of mass transport in complex media”, (PI), CSU Research Award for Fall 2007. (0.2 release time)

Mathematical Modeling of Groundwater Contamination by Radioactive Waste. (PI), CSU Research Award for Summer 2009. Summer stipend.

Mathematical Simulation of the Fractured Subsurface Reservoir Contamination by Hazardous Reactive Chemicals (PI), CSU Research Award for Fall 2012. (0.2 release time)

Research Experience for Undergraduates (REU) Program in Mathematical Modelling (PI). NSF grants for the period of 2007‐2011 and 2012‐2014.

Recent peer‐reviewed publications by Fomin S. A. (since 2001)

Book:

Sergei Fomin and Vladimir Chugunov “Mathematical Modeling of Mass Transport in Complex

Media”, COE Lecture Series, Vol. 7, Tohoku University Press, Sendai, Japan, 2007, pp. 1‐218.

Journal papers and book chapters

1. S. Fomin, J., Watterson, S. Raghunathan and E. Harkin‐Jones, “The Run‐Off Condition for Rimming Flow of a Power‐Law Fluid”, Theoretical and Computational Fluid Dynamics, Vol.15, No.2, 2001, pp. 83‐94.

2. S. Fomin and A. Wilchinsky, “Shape‐Factor Effect on Melting within an Elliptic Capsule”, International Journal of Heat and Mass Transfer, Vol. 45, No. 14, 2002, pp. 3045‐3054.

3. A. Wilchinsky, S. Fomin and T. Hashida, “Contact Melting Inside an Elastic Capsule”, International Journal of Heat and Mass Transfer, Vol. 45, No. 20, 2002, pp. 4097‐4106.

4. S.A. Fomin, and V.A. Chugunov, "Optimal Distribution of a Heat Source Within a Thermopenetrator", Engineering Analysis with Boundary Elements, Vol. 26, No. 7, 2002, pp. 613‐620.

5. S. Fomin, J., Watterson, S. Raghunathan and E. Harkin‐Jones, “Steady‐State Rimming Flow of the Generalized Newtonian Fluid”, Physics of Fluids, Vol.14, No. 9, 2002, pp. 3350‐3353.

6. S. Fomin, V. Chugunov, T. Hashida, S. Saito and Y. Suto, “Heat Flux on the Bore‐Face and Temperature Distribution in the Formation”, GRC Transactions, Vol. 26, 2002, pp.803‐807.

7. S. Fomin, K. Yoshida and T. Hashida, “Analysis of Thermal Effectiveness of Geothermal Multi‐ Borehole Circulating System”, GRC Transactions, Vol. 26, 2002, pp.279‐283.

8. S. Fomin, T. Hashida and J. Watterson, “Fundamentals of the Rimming Flows of the Non‐ Newtonian Fluids”, Journal of Non‐Newtonian Fluid Mechanics, Vol. 111, 2003, pp.19‐40.

9. V. Chugunov, S. Fomin, and T. Hashida, “Heat Flow Rate at a Bore‐Face and Temperature in the Surrounding a Borehole Non‐Homogeneous Media”, Int. Journal of Heat and Mass Transfer, Vol. 46, 2003, pp. 4769‐4778.

10. S. Fomin, T. Hashida, A. Shimizu, K. Matsuki and K. Sakaguchi, “Fractal Concept in Numerical Simulation of Hydraulic Fracturing of the Hot Dry Rock Geothermal Reservoir”, Hydrological Processes, Vol. 17, 2003, pp.2975‐2989.

11. S. Fomin, V. Chugunov and T. Hashida, “Analytical modeling of the formation temperature stabilization during the borehole shut‐in period”, Geophysical Journal International, Vol. 155, 2003, pp.469‐478.

12. K. Yoshida, A. Shimizu, S. Fomin and T. Hashida “Computer simulation of fluid flow in fractured media. The effect of thermal dispersion”, in Non‐destructive Testing and Computer Simulations in Science and Engineering, SPIE Proceedings Series, Vol. 5127, 2003, pp. 207‐215.

13. S. Fomin, A. Shimizu, K. Matsuki, K. Sakaguchi and T. Hashida, “Simulation of the fracture shear dilation”, in Non‐destructive Testing and Computer Simulations in Science and Engineering, SPIE Proceedings Series, Vol. 5127, 2003, pp. 216‐221.

14. S. Fomin, A. Shimizu and T. Hashida, “ Numerical Simulation of the Fracture Type Reservoir Growth”, Strength, Fracture and Complexity, Vol. 1(2), 2003, IOS Press, pp. 69‐77.

15. K. Yoshida, S. Fomin and T. Hashida, “Numerical Simulation of the Large‐Scale Geothermal Reservoir with Multiple‐Borehole‐Circulation System”, GRC Transactions, Vol. 27, 2003, pp. 747‐ 751.

16. S. Fomin, Z. Jing and T. Hashida, “The effect of thermal, chemical, hydrological and mechanical factors on water/rock interaction in HDR geothermal systems”. In: O Stephansson, J. A. Hudson and L. Jing (eds.), Coupled thermo‐hydro‐mechanical‐chemical processes in geo‐systems:

fundamentals, modeling, experiments and applications. Elsevier Geo‐Engineering Book Series, Volume 2, 2004, Elsevier, Oxford. p.649‐654.

17. S. Fomin, V. Chugunov and T. Hashida, “Mathematical modelling of borehole grouting in permafrost”. In: O. Stephansson, J. A. Hudson and L. Jing (eds.), Coupled thermo‐hydromechanical‐ chemical processes in geo‐systems: fundamentals, modeling, experiments and applications. Elsevier Geo‐Engineering Book Series, Volume 2, 2004, Elsevier, Oxford. p.773‐778.

18. S. Fomin and T. Hashida “Advances in mathematical modelling of hydraulic stimulation of a subterranean fractured reservoir”, in Non‐destructive Testing and Computer Simulations in Science and Engineering, SPIE Proceedings Series, Vol. 5831, 2005, pp. 148‐154.

19. S. Fomin, T. Hashida, V. Chugunov and A.V. Kuznetsov, “A borehole temperature during drilling in a fractured rock formation”, Int. Journal of Heat and Mass Transfer, vol. 48, 2005, pp. 385‐ 394

20. S. Fomin, V. Chugunov and T. Hashida, “The effect of non‐Fickian diffusion into surrounding rocks on contaminant transport in fractured porous aquifer”, Proceedings of Royal Society A, vol. 461, 2005, pp. 2923‐2939.

21. K. Yoshida, S. Fomin and T. Hashida, “Numerical analysis for unsteady‐state growth behaviour of hydraulically induced reservoirs”, GRC Transactions, Vol. 29, 2005, pp. 197‐200.

22. S. Fomin, “Three Regimes of Non‐Newtonian Rimming Flow”, ASME Journal of Fluids Engineering, v. 128, 2006, 107‐112

23. S. Fomin, V. Chugunov and T. Hashida, “Assessment of Stimulated Area Growth During High‐ Pressure Stimulation of Fractured Subsurface Reservoir”, Transport in Porous Media, vol. 63,

2006, pp. 99–125.

24. S. Fomin, V. Chugunov and T. Hashida , “Simulation of contaminant transport in a fractured porous aquifer”, Journal of Fluids Engineering, vol.129, 2007, pp.1157‐1163.

25. T. Hashida, R. Chiba, S. Fomin “Mega‐Scale Fluid Flow in Complex Subsurface Fracture Systems”, COE Lecture Series, Vol. 9, Chapter 7, Tohoku University Press, Sendai, Japan, 2008, pp. 241‐261.

26. Ryuichi Chiba, Takashi Okaze, Sergei Fomin, Vladimir Chugunov, Yuichi Niibori, Hisao Fukunaga, and Toshiyuki Hashida, “ Numerical Simulations of the Anomalous Solute Transport in a Fractured Porous Aquifer”, GRC Transactions, Vol. 32, 2008, pp. 441‐443.

27. Ana Suzuki, Ryuichi Chiba, Takashi Okaze, Yuichi Niibori, Hisao Fukunaga, Sergei Fomin, Vladimir Chugunov, and Toshiyuki Hashida, “ Characterizing non_Fickian Transport in Fractured Rock Masses Using Fractional Derivative‐Based Method”, GRC Transactions, Vol. 34, 2010, pp.

1179‐1184.

28. S. Fomin, V. Chugunov, T. Hashida, "Application of Fractional Differential Equations for Modeling the Anomalous Diffusion of Contaminant from Fracture into Porous Rock Matrix with Bordering Alteration Zone", Transport in Porous Media, vol. 81, 2010, pp.187–205.

29. S.Fomin, K. Kilpatrick, and R. Hubbard, “Rimming Flow of a Power‐Law Fluid: Qualitative Analysis of the Mathematical Model and Analytical Solutions” Applied Mathematics and Computation, vol. 216, 2010, pp. 2169–2176.

30. S. Fomin, J. Debrunner, A. Mazurenko, and B. Nelson, “Steady State Visco‐Elastic Rimming Flow”, Applied Mathematical Modeling, vol.35, 2011, pp.1846–1860

31. Sergei A. Fomin, Vladimir A. Chugunov, Toshiyuki Hashida, “Non‐Fickian mass transport in fractured porous media” Advances in Water Resources, vol. 34, 2011, pp. 205–214.

32. S.Fomin, V. Chugunov and T. Hashida, "Mathematical modeling of Anomalous Diffusion in Porous Media", Fractional Differential Calculus, 2011, vol.1, pp. 1‐28.

33. Anna Suzuki, Hiroshi Makita, Yuichi Niibori, Sergei A. Fomin, Vladimir A. Chugunov, Toshiyuki Hashida, “Characterization of Tracer Responses Using Fractional Derivative –Based Mathematical Model and Its Application to Prediction of Mass Transport in Fractured Reservoirs”, GRC Transactions, Vol. 36, 2012, pp. 1391‐1396

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### Educational Background

1982 – Ph.D., Kazan Federal University, Russia (Physics & Mathematics)