Features of physical and mathematical modeling of oil and water filtration at different crimping pressures

Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy


Release:

2021. Vol. 7. № 4 (28)

Title: 
Features of physical and mathematical modeling of oil and water filtration at different crimping pressures


For citation: Zagorovskiy M. A., Stepanov S. V., Gilmanov Ya. I., Zagorovskiy A. A., Zaitsev A. I. 2021. “Features of physical and mathematical modeling of oil and water filtration at different crimping pressures”. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, vol. 7, no. 4 (28), pp. 93-110. DOI: 10.21684/2411-7978-2021-7-4-93-110

About the authors:

Mikhail A. Zagorovskiy, Master Student, Department of Fundamental Mathematics and Mechanics, University of Tyumen; Specialist, Tyumen Petroleum Research Center; mazagorovskiy2@tnnc.rosneft.ru

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

Yan I. Gilmanov, Cand. Sci. (Geol.-Mineral.), Expert, Tyumen Petroleum Research Center; yigilmanov@tnnc.rosneft.ru

Alexei A. Zagorovskiy, Laboratory Head, Tyumen Petroleum Research Center; aazagorovskiy@tnnc.rosneft.ru

Alexei I. Zaitsev, Lead Specialist, Tyumen Petroleum Research Center; aizaitsev2@tnnc.rosneft.ru

Abstract:

The article discusses the features and results of physical and mathematical modeling of filtration experiments on terrigenous and carbonate rock core samples at different crimping pressures. Such studies are necessary to understand the effect of rock pressure on the reservoir properties and relative phase permeability (RP) of reservoir rocks, including from the standpoint of the Digital Core technology, since core tomography is usually performed under atmospheric conditions and data on rock properties are required for reservoir conditions.

The article discusses the features and results of physical and mathematical modeling of filtration experiments on terrigenous and carbonate rock core samples at different crimping pressures. Such studies are necessary to understand the effect of rock pressure on the reservoir properties and relative phase permeability (RP) of reservoir rocks, including from the standpoint of the Digital Core technology, since core tomography is usually performed under atmospheric conditions and data on rock properties are required for reservoir conditions.

The laboratory study of the relative permeability was carried out on composite core models by the method of stationary filtration at crimping pressures of 10 and 20 MPa. Mathematical modeling of filtration experiments was performed in the Eclipse simulator. The distribution of porosity in the hydrodynamic models of the core was set based on data from computed tomography of the core. The distribution of other rock properties (permeability, residual saturations, RPP values at residual saturations) was calculated using generalized dependencies.

It is shown that for terrigenous and carbonate rocks, an increase in pressure leads to different behavior of the RPP functions and fluid mobility. The results of laboratory studies are interpreted from the point of view of processes at the micro level, based on the formation of the nature of the flow and the associated water saturation during deformation of the void space. It is also shown that filtration experiments on core at different rock pressures can be simulated on a hydrodynamic simulator, but at the same time, the study of patterns in the change in model parameters with a change in pressure depends on the presence of patterns in the behavior of rock properties based on the results of physical modeling.

References:

  1. Baikov V. A., Konovalova S. I., Mikhailov S. P. 2021. “Petrophysical modeling of complexly constructed terrigenous reservoir”. Territory “Oil and Gas”, no. 11, p. 37. [In Russian]

  2. Ivanov V. A., Khramova V. G., Diyarov D. O. 1974. Structure of the pore space of oil and gas reservoirs”. Moscow: Nedra. 57 p. [In Russian]

  3. Practical guide to creating hydrodynamic models. 2012. Moscow-Ijevsk: Institute of computer researches. P. 112. [In Russian]

  4. Stepanov S. V., Patrakov D. V., Vasiliev V. V., Shabarov A. B., Shatalov A. V. 2018. “Digital core analysis: problems and perspectives”. Oil Industry, no. 2, pp. 18-22. DOI: 10.24887/0028-2448-2018-2-18-22 [In Russian]

  5. Adenutsi C. D., Li Z., Xu Z., Sun L. 2019. “Influence of net confining stress on NMR T2 distribution and two-phase relative permeability”. Journal of Petroleum Science and Engineering, vol. 178, pp. 766-777. DOI: 10.1016/j.petrol.2019.03.083

  6. Al-Quraisji A., Khairy M. 2005. “Pore pressure versus confining pressure and their effect on oil-water relative permeability curves”. Journal of Petroleum Science and Engineering, vol. 48, pp. 120-126. DOI: 10.1016/j.petrol.2005.04.006

  7. Jenei B. 2017. Numerical modelling and automated history matching in SCAL for improved data quality: Master thesis. Leoben: University of Leoben.

  8. Lian P. Q., Cheng L. S., Ma C. Y. 2012. “The Characteristics of Relative Permeability Curves in Naturally Fractured Carbonate Reservoirs”. Journal of Canadian Petroleum Technology, vol. 51, no. 2, pp. 137-142. DOI: 10.2118/154814-PA

  9. Lomeland F., Ebeltoft E., Thomas W. H. 2005. “A new versatile relative permeability correlation”. International Symposium of the Society of Core Analysis, Toronto, Canada. Paper Number: SCA2005-32.

  10. Mostaghimi P. 2012. Transport Phenomena Modelled on Pore-Space Images: Ph. D. diss. London: Imperial College London. P. 84. DOI: 10.2118/171216-MS

  11. Shandrygin A. N. 2014. “Digital Core Analysis for Flow Process Evaluation is Myth or Reality?”. Paper presented at the SPE Russian Oil and Gas Exploration and Technical Conference and Exhibition, Moscow, Russia. Paper Number: SPE-171216-MS.