Hydrodynamic modeling of laboratory experiments related to oil displacement with thermopolymer solution

About the authors:

Anatoliy V. Stepanov, Expert, Tyumen Petroleum Research Center, Tyumen, Russia; Cand. Sci. (Phys.-Math.), Associate Professor, Specialized Department of Tyumen Petroleum Research Center, Higher School of Engineering EG, Industrial University of Tyumen, Tyumen, Russia; avstepanov5@tnnc.rosneft.ru

Irina A. Zubareva, Specialist, Tyumen Petroleum Research Center, Tyumen, Russia; iazubareva-tnk@tnnc.rosneft.ru

Volgin Evgeniy R., Chief Specialist, Rosneft Oil Company (Moscow); ervolgin@rosneft.ru

Abstract:

Microscaled modeling of laboratory experiments, which needs adaptation a number of parameters of numerical model of a composite kern building, uses for the applying results of flowing laboratory experiments in sector and full hydrodynamic models of occurrences. Adaptation of parameters of numerical kern model shall be carried out at reproduction measured variables of flowing experiments. Moreover, there are uncertainties of filtration and capacitance properties related to heterogeneity of kern samples and instability of heated polymer’ displacement front. Iteration algorithm is developed and implemented in this article. Algorithm provides adapting of series synthetic hydrodynamic models of laboratory experiments. At the first adapting step the whole range of uncertainties of a series of laboratory experiments is taken into account. Minimization of number of variable parameters and model’ adaptation error realizes on all iteration steps. To increase the reliability of adaptation, the spectrum of 1D models is supplements with synthetic 3D models with stochastic distribution of heterogeneity in porosity and permeability. This process allows take processes of filtration in polymer adsorption conditions and heterogeneity of collector properties into account more fully while modeling. In addition, it can help to specify variable parameters with scaling on different numerical grids. Developed algorithm tested on heated polymer’ displacement experiments, determination of the relative phase permeability as a function of temperature. Decreased uncertainties of variable parameters, which are relative phase permeability as a function of concentration of polymer solution, residual resistance factor, dependence of the viscosity of the polymer solution on the shear rate, is the results of method’s application. Then these results transfers to the adaptation process of sector and full hydrodynamic models.

References:

1. Zakirov S. N., Nikolaev V. A., Zakirov E. S., Indrupskiy I. M., Rassokhin A. S. 2010. “Unconventional results and interpretation of displacement experiments for oils with increased viscosity using different displacing agents”. Georesources, Geoenergy, Geopolitics, no. 2 (2), p. 23. [In Russian]

2. Kanevskaya R. D. 2003. Mathematical modeling of hydrodynamic processes of hydrocarbon deposits development. Moscow; Izhevsk: Institute of computer science. 140 p. [In Russian]

3. Kotyakhov F. I. 1997. Physics of oil and gas collectors. Moscow: Nedra. 287 p. [In Russian]

4. Orlov D. M., Ryzhov A. E., Perunova T. A. 2013. “Method for determining relative permeabilities from data on unsteady filtration by combined physical and computer modeling”. Journal of Applied Mechanics and Technical Physics, vol. 54, no. 5, pp. 789‑797. DOI: 10.1134/S002189441305012X [In Russian]

5. OST 39-195-86. 1986. Oil. Method for determining the oil displacement coefficient by water in laboratory conditions. Мoscow. 20 p. [In Russian]

6. Plokhotnikov S. P., Bogomolova O. I., Plokhotnikov D. S., Boomolov V. A., Plokhotnikova O. R., Nursubin M. S. 2013. “Mathematical modeling of non-isothermal two-phase filtration with modified relative phase permeabilities”. Kazan Technological University Herald, vol. 16, no. 21, pp. 122-124. [In Russian]

7. RD 39-8148311-206-85. 1985. Guidelines for the design and technical and economic analysis of the development of oil fields using the method of polymer impact on the formation. Мoscow. 209 p. [In Russian]

8. Khiznyak G. P., Balueva N. Y., Mordvinov V. A., Yushkov I. R. 2006. “Results of laboratory studies on polimer displacement of oil”. Perm State Technical University Herald. Geology. Oil and gas gambling, vol. 5, no. 1, pp. 122-125. [In Russian]

9. Ahmad Ali Manzoor. 2020. “Modeling and simulation of polymer flooding with time‑varying injection pressure”. ACS Omega, vol. 5, no. 10, pp. 5258-5269. DOI: 10.1021/acsomega.9b04319

10. Potcharaporn Pongthunya. 2013. Upscaling in polymer flooded reservoirs: PhD thesis. Imperial College London. 233 p.