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The problem of acid treatment in carbonate reservoirs at different scales is considered. The problem of two-phase multicomponent Darcy flow through a porous medium with chemical reactions is solved at the core scale. The regimes of acid injection into the core that lead to the wormholing phenomena are investigated. The present study makes it possible to determine the wormhole growth rate at various reaction kinetics parameters and injection rates and for various permeability distributions. The dependences obtained are used in the large-scale model of fracture acidizing in a reservoir (FAR) that also includes the model of two-phase multicomponent flow with chemical reactions through a porous medium and the model of acid transport through a fracture. Additional contribution of wormholes to the conductivity is simulated. Based on the model proposed, a series of calculations of fracture acidizing in a reservoir is carried out, the effect of taking into account the wormholes in the large-scale model proposed is investigated, and the influence of the constitutive parameters of the process considered such as the fracture length, the reservoir permeability, and the solution injection rate on the effectiveness of treatment estimated in terms of the production ability of well after treatment is studied.
Fluid Dynamics – Springer Journals
Published: Apr 1, 2022
Keywords: acid treatment; fracture acidizing; multiscale simulation; reaction kinetics; wormholes
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