Modeling of dynamics of oil droplet in a capillary with narrowing

About the authors:

Amir A. Gubaidullin, Dr. Sci. (Phys.-Math.), Professor, Сhief Researcher, Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences; eLibrary AuthorID, ORCID, Web of Science ResearcherID, Scopus AuthorID, a.a.gubaidullin@yandex.ru

Aleksei Yu. Maksimov, Lead Engineer, CompMechLab® LLC, Peter the Great St. Petersburg Polytechnic University; eLibrary AuthorID, ORCID, maksimov@compmechlab.ru

Abstract:

The use of external vibration impact is one of the methods of enhanced oil recovery. Despite the fact that the methods of the interventions on fluid saturated porous medium have been studied in a large number of both theoretical and experimental works, a number of issues remain open. For example, the mechanism for mobilizing oil droplets, entrapped in the capillaries of the porous medium is still poorly understood. Mathematical modeling can be used to clarify this mechanism. Equations of hydrodynamics can be taken for a mathematical model. Along with this one can consider a simplified approach in which the equation of the droplet motion is issued under a constant pressure gradient and vibration force. In this paper, on the basis of this approach the dynamics of the droplet trapped in a narrowing capillary has been numerically investigated under vibration impact. The eigen frequencies of the droplets have been calculated in dependence on external static pressure difference. Dependence of the amplitude of mobilization impact on its frequency has been defined. The analysis of the effect on this amplitude of the droplet viscosity and of the vibration wave shape has been carried out.

References:

1. Svalov, A.M. Research methods for technological blow and wavw impact on production reservoirs. Neftjanoe hozjajstvo — Oil Industry. 1999. № 11. Pp. 26-27. (in Russian).

2. Simkin, Je.M. Physical grounds for seismic and vibroseismic methods to increase oil recovery. Neftjanoe hozjajstvo — Oil Industry. 1999. № 7. Pp. 22-24. (in Russian).

3. Ganiev, R.F., Ukrainskij, L.E. Nelinejnaja volnovaja mehanika i tehnologii. RHD [Non-linear wave mechanics and techniques. RCD]. 2008. 712 p. (in Russian).

4. Ahmetov, A.T., Gubajdullin, A.A., Dudko, D.N. Pressure impulse impact on phase permeability of natural samples and features of their distribution in saturated porous media Izvestiya vuzov. Neft' i gaz — Izvestiya vuzov. Oil and gas. 1999. № 1. Pp. 30-34. (in Russian).

5. Dyblenko, V.P., Kamalov, R.N., Sharifullin, R.Ja., Tufanov, I.A. Povyshenie produktivnosti i reanimacija skvazhin s primeneniem vibrovolnovogo vozdejstvija [Well production and recovery improvement by vibrowave impact]. M.: Nedra, 2000. 381 p. (in Russian).

6. Gubajdullin, A.A., Konev, S.A. Residual oil involvement in filtration by acoustic field Vestnik Tjumenskogo gosudarstvennogo universiteta — Tyumen State University Herald. 2011. № 7. Pp. 20-24. (in Russian).

7. Beresnev, I. A. Theory of vibratory mobilization of nonwetting fluids entrapped in pore constrictions. GEOPHYSICS. 2006. Vol. 71. № 6. Pp. 47-56.

8. Beresnev, I. A., and Deng, W. Viscosity effects in vibratory mobilization of residual oil. GEOPHYSICS. 2010. Vol. 75. № 4. Pp. 79–85.

9. Beresnev, I., Gaul, W. and Vigil, R.D. Direct pore-level observation of permeability increase in two-phase flow by shaking. GEOPHYSICAL RESEARCH LETTERS. 2011. Vol. 38, L20302.

10. Zheltov, Ju.P. Mehanika neftegazonosnogo plasta [Oil and gas reservoir mechanics]. M.: Nedra, 1975. 216 p. (in Russian).