University of Tabriz Computational Methods for Differential Equations 2345-3982 13 3 2025 07 01 Flow of gas-condensate system in a time-dependent deformable reservoir with rock creep effect in the well Bottomhole zone 828 838 18743 10.22034/cmde.2024.62354.2745 EN Fikret A. Aliev Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan. Mahammad Jamalbayov SOCAR Oil Gas Scientific Research Project Institute, Baku, Azerbaijan. Nargiz Alizadeh Military Institute named after Heydar Aliyev, Baku, Azerbaijan. Nazile Hajiyeva Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan. Davood Ahmadian Faculty of Mathematics, Statistics and Computer Science, University of Tabriz, Tabriz, Iran. Journal Article 2024 07 05  The problem of ow of a gas-condensate system to a draining from a time-dependent deformable formation is considered in the case where the laws of compressibility of reservoir rocks in the bottomhole zone and in the part of the reservoir remote from the well differ. Using the idea of a binary representation of a gas-condensate system, a semi-analytical solution to the considered problem is obtained, an algorithm is proposed for calculating the main indicators of depletion of a gas-condensate reservoir, for the case when near the well (inner zone) the formation undergoes creep, and in the distant part of the reservoir (outer zone) elastic deformation occurs. Based on this algorithm, a computer simulator of the considered process created. The results of a study of the influence of the noted factor on the main indicators of the depletion process of gas-condensate deposits represented by time-dependent (relaxing) reservoirs showed that taking into account the rheological characteristics of the reservoir in the well bottom-hole zone significantly refines the forecasting of the main development indicators. It has been established that when the creep effect of formation rocks in the near-wellbore zone is taken into account, the maximum difference in the current values of formation pressures reaches up to 12.53%. It corresponds to a gas recovery factor value of 0.55. https://cmde.tabrizu.ac.ir/article_18743_bd49c015a85204d7fbbb03db016cfb5d.pdf