The results of modeling the filtration of an indicator liquid (aqueous solution of an indicator) in a hydraulically fractured low-permeability formation with account for diffusion and convective mass transfer through the side walls of the fracture are presented. Simulation of filtration–diffusion processes is of great importance for the implementation of tracer studies in oil production, as well as for some processes of hydrogeology and ecology (control of the injection of industrial waste into formations), chemical and membrane technologies. The problem is solved using the Laplace integral transform method. An analysis of the obtained solutions was carried out, which makes it possible to determine the main qualitative characteristic features of the diffusion and filtration processes under consideration.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 96, No. 6, pp. 1520–1526, November–December, 2023
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Khabibullin, I.L., Khasanova, R.Z. Simulation of the Indicator Liquid Flow in a Formation with Hydraulic Fracturing. J Eng Phys Thermophy 96, 1508–1515 (2023). https://doi.org/10.1007/s10891-023-02820-y
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DOI: https://doi.org/10.1007/s10891-023-02820-y