Mathematical Model of Acid Treatment of a Terrigenous Reservoir in an Oil Field

Burnashev Vladimir Fidratovich; Kaytarov Zokhidjon Dusmon ugli; Rakhimova Irodakhon Gofur qizi

Authors

Burnashev Vladimir Fidratovich Samarkand State University named after Sharof Rashidov
Kaytarov Zokhidjon Dusmon ugli Samarkand State University named after Sharof Rashidov
Rakhimova Irodakhon Gofur qizi Samarkand State University named after Sharof Rashidov

Keywords:

Breakeven, Hydraulic Fracturing, Reactant Fading, Upscaling, Well Stimulation, Capillary Pressure, Hydrocyanic Acid, Carbonate Reservoirs, Oil Production Rate, Silica Sand, Acid Reaction, Gas Production Rate, Mathematical Modeling

Abstract

The article deals with the mathematical modeling of acid treatment processes of the near-wellbore zone of terrigenous reservoirs of oil fields. The function of chemical stimulation methods is analyzed under conditions of low permeability by which the oil recovery efficiency is still not enough. The interaction mechanisms between illite minerals and HF, reaction products and their effects on the rock parameters in sandstone reservoirs have been examined in detail. The general reaction–diffusion equations for the acid consumption and the mass transfer are described and combined into a system of equations governing the non-stationary filtration processes of oil and aqueous phases. The model additionally accounts for changes in porosity and permeability, build up of reaction products and gel formation that may restrict flow characteristics. In parallel, the methodological aspects of the model have implications. The foremost limitation arises from the omission of the gas phase and transitioning to a one-dimensional problem, which may limit the ability to make accurate quantitative predictions. However, the model serves as a conceptual framework for acid treatments to help understand the coupled physicochemical processes taking place in the near-wellbore zone during treatment.

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