Towards the presence of regularities between the function of interfacial interaction and the filtration capacity properties

About the authors:

Sergei V. Stepanov, Senior Expert, Tyumen Petroleum Research Center, Tyumen, Russia; Dr. Sci. (Tech.), Professor, Tyumen Petroleum Research Center Specialized Department, School of Natural Sciences, University of Tyumen, Tyumen, Russia; svstepanov@tnnc.rosneft.ru

Aleksandr B. Shabarov, Dr. Sci. (Tech.), Professor, Honored Scientist of the Russian Federation, Professor, Department of Applied and Technical Physics, School of Natural Science, University of Tyumen, Tyumen, Russia; a.b.shabarov@utmn.ru, https://orcid.org/0000-0002-5374-8704

Abstract:

This paper discusses the results of identifying possible regularities between the parameters describing the function of interfacial interaction and filtration capacity properties of rocks. The studies have employed real laboratory data, forming four clusters. The capillary pressure curve data and relative phase permeability data were obtained on the same core samples.

The authors describe the factors determining the interphase interaction during multiphase fluid flow in a porous medium. On this basis, a method for calculating discrete values of the interfacial interaction function based on the results of laboratory studies of relative phase permeability is proposed. For the approximation of the interfacial interaction function, the four-parametric formula following from derivative of Buckley — Leverett function at assignment of relative phase permeability functions by means of Corey functions is substantiated.

The authors suggest two variants of interphase interaction function formulation. They prove that for the first variant, there is a stable dependence only for one parameter, and for the second variant — with three parameters. Thus, one of the parameters in all cases has appeared close to one.

The results show that the error of the detected dependencies on the deviation of the parameters has a linear dependence, and for both variants of the interfacial interaction function, the ranking of the parameters is different according to their influence on the error. Using a test sample, the authors show that the dependencies obtained allow determining the parameters of the interphase interaction function with an acceptable error.

References:

1. Altunin A. Е., Sokolov S. V., Stepanov S. V., Cheremisin N. A., Shabarov A. B. 2013. “Calculation method of relative phase permeabilities based on the solution of generalized Bernoulli equations for the system of pore channels”. Neftepromyslovoe delo, no. 8, pp. 40-46. [In Russian]

2. Akhmetov A. T., Sametov S. P. 2010. “The features of dispersion flow from microdroplets of water in microchannels”. Pisma v zhurnal tekhnicheskoy fiziki, vol. 36, no. 22, pp. 21‑28. [In Russian]

3. Basniev K. S., Kochina I. N., Maksimov V. M. 1993. Underground Hydromechanics. Moscow: Nedra. 416 pp. [In Russian]

4. Bembel G. S., Stepanov S. V. 2015. “Mathematical modeling of the check two-phase flow in the system of capillary channels’. Avtomatizatsiya, telemekhanizatsiya i svyaz v neftyanoy promyshlennosti, no. 6, pp. 30-38. [In Russian]

5. Collins R. 1964. Fluid Flow through Porous Materials. Moscow: Mir. 350 pp. [In Russian]

6. Stepanov S. V., Shabarov A. B., Bembel G. S. 2016. “Computer technology for determination of interphase interaction function based on flow simulation in capillary cluster”. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, vol. 2, no. 1, pp. 63-71. DOI: 10.21684/2411-7978-2016-2-1-63-71 [In Russian]

7. Shabarov A. B., Shatalov A. V. 2016. “Pressure drops in water-oil mixture flow in porous channels”. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, vol. 2, no. 2, pp. 50-72. DOI: 10.21684/2411-7978-2016-2-2-50-72 [In Russian]

8. Byrnes A. P., Bhattacharya S. 2006. “Influence of initial and residual oil saturation and relative permeability on recovery from transition zone reservoirs in shallow shelf carbonates”. Paper presented at the SPE/DOE Symposium on Improved Oil Recovery (April, Tulsa, Oklahoma, USA). Paper Number: SPE-99736-MS. DOI: 10.2118/99736-MS

9. Pentland C., Al-Mansoori S., Iglauer S., Bijeljic B., Blunt M. 2008. “Measurement of non-wetting phase trapping in sand packs”. Paper presented at the SPE Annual Technical Conference and Exhibition (September, Denver, Colorado, USA). Paper Number: SPE-115697-MS. DOI: 10.2118/99736-MS