Evolution of tracer mark in oil reservoirs with hydraulic fracture

About the authors:

Aleksandr I. Filippov, Dr. Sci. (Tech.), Professor, Chief Researcher, Sterlitamak Branch of Ufa University of Science and Technology, Sterlitamak, Russia; filippovai1949@mail.ru, https://orcid.org/0000-0002-0964-9805

Alfred Ya. Davletbaev, Cand. Sci. (Phys.-Math.), Associate Professor, Department of Applied Physics, Institute of Physics and Technology, Ufa University of Science and Technology, Ufa, Russia; davletbaevay@rambler.ru

Rafael R. Gareev, Cand. Sci. (Tech.) Degree Seeking Applicant, Ufa University of Science and Technology, Ufa, Russia; garrafrad@mail.ru

Abstract:

The results of the development of micro- and macromodels of the process of convective-diffusion evolution of the tracer mark in natural reservoirs are presented and the relationship between them is described. Equations for the concentration (density) of a tracer during solution movement in a hydraulic fracture and the surrounding porous medium are constructed taking into account local chemical equilibrium. Solutions have been found to problems on the tracer concentration field with and without taking into account the contribution of diffusion processes. The results of computational experiments on modeling the velocity fields of the mark and the concentration of the tracer substance during flow of the carrier fluid in a hydraulic fracture are discussed.
It is shown that deposition of the tracer substance onto the skeleton at the leading edge and washing away at the rear leads to a decrease in the speed of the tag, and this speed decreases with increasing Henry’s coefficient. The use of a combination of characteristics methods and the Green’s function made it possible to clarify the contribution of convective and diffusion processes to the evolution of the tracer mark. The results obtained provide new opportunities for the development of methods for interpreting the results of tracer studies.

References:

Bikmetova, A. R., Asalkhuzina, G. F., Davletbaev, A. Ya., Shtinov, V. A., Makeev, G. A., Miroshnichenko, V. P., Schutsky, G. A., & Sergeichev, A. V. (2022). Estimating parameters in the horizontal wells with multistage fracturing using reservoir modeling and tracer analysis. Oil Industry, (11), 118–121. https://doi.org/10.24887/0028-2448-2022-11-118-121 [In Russian]

Gilmanov, A. Ya., Fedorov, K. M., & Shevelev, A. P. (2020). Integral model of steam-assisted gravity drainage. Izvestiya Rossiyskoy akademii nauk. Mekhanika zhidkosti i gaza, (6), 74–84. https://doi.org/10.31857/S0568528120060055 [In Russian] (English version: Fluid Dynamics, 55(6), 793–803. https://doi.org/10.1134/S0015462820060051)

Maltsev, V. V., Asmandiyarov, R. N., Baikov, V. A., Usmanov, T. S., & Davletbaev, A. Ya.(2012). Testing of auto hydraulic-fracturing growth of the linear oilfield development system of Priobskoye oil field. Oil Industry, (5), 70–73. [In Russian]

Nigmatulin, R. I. (1987). Dynamics of Multiphase Systems (Vol. 1, 2). Nauka. [In Russian]

Filippov, A. I. (2016). Fundamentals of the Theory of Transfer of Radioactive Solutions in a Porous Medium. Sterlitamak Branch of Ufa University of Science and Technology. [In Russian]

Khabibullin, I. L., & Khasanova, R. Z. (2023). Simulation of the indicator liquid flow in a formation with hydraulic fracturing. Journal of Engineering Physics and Thermophysics, 96(6), 1520–1526. [In Russian]

Estévez, E. A. P., Mesa, R. F., & Pavlyukevich, N. V. (2022). Nonstationary diffusion in hydrolytic degradation of a porous polymeric matrix. Journal of Engineering Physics and Thermophysics, 95(6), 1615–1623. https://doi.org/10.1007/s10891-022-02630-8

Goldobin, D. S., & Krauzin, P. V. (2015). Formation of bubbly horizon in liquid-saturated porous medium by surface temperature oscillation. Physical Review E, 92(6), Article 063032. https://doi.org/10.1103/PhysRevE.92.063032

Mikhaylov, P. N., Filippov, A. I., & Mikhaylov, A. P. (2013). Filtration of radioactive solutions in jointy layers. In H. Nakajima (Ed.), Mass Transfer — Advances in Sustainable Energy and Environment Oriented Numerical Modeling. IntechOpen. https://doi.org/10.5772/56042