Analytical model of non-isothermal filtration of gasified oil in a reservoir with a hydraulic fracture

About the authors:

Filyus F. Davletshin, Cand. Sci. (Phys.-Math.), Senior Lecturer, Department of Geophysics, Ufa University of Science and Technology, Ufa, Russia; felix8047@mail.ru, https://orcid.org/0000-0002-7532-1437
Ramil F. Sharafutdinov, Dr. Sci. (Phys.-Math.), Professor, Professor of the Department of Geophysics, Ufa University of Science and Technology, Ufa, Russia; gframil@inbox.ru, https://orcid.org/0000-0001-6980-8364

Abstract:

The efficiency of developing low-permeability reservoirs is largely determined by the accurate estimation of the geometry of fractures created during hydraulic fracturing. Although downhole thermometry is a promising diagnostic method, its informativeness during oil production is often limited by small temperature signals and the complexity of their interpretation. This work investigates the influence of reservoir oil degassing on the temperature field in a hydraulic fracture and assesses the potential of using this effect to determine fracture parameters. Using analytical modeling based on the heat balance equation, which accounts for key thermodynamic effects and phase transitions in a bilinear flow approximation, the dynamics of bottom-hole temperature during the production of gas-saturated oil were analyzed. The calculations showed that the endothermic effect of degassing dominates other thermal effects, leading to significant fluid cooling. The most important result is the established dependency of the degree of this cooling on the fracture width: narrower fractures, characterized by a larger pressure drop, demonstrate more intense degassing and, consequently, a lower bottom-hole temperature. Thus, the degassing process enhances the temperature signal related to fracture geometry. This indicates the fundamental possibility and increased informativeness of using thermometry data to estimate hydraulic fracture width when developing fields with gas-saturated oil, turning the degassing effect into a useful diagnostic factor.

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