Abstract
The material balance model in the form of an analytical capacitive-resistive model (CRM) is increasingly used for the mathematical modeling of oil fields’ development. The CRM model initially does not take into account the change in the well productivity index, which significantly reduces the applicability of the material balance method for wells that are undergoing production stimulation activities. This paper proposes a modification of the CRM model, which takes into account the nonstationarity of the productivity index. On the example of test calculations, it is shown that the modified CRM model allows us to reproduce the dynamics of the well fluid flow rate with significant changes in the productivity index.
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Shevtsov, N.O., Stepanov, S.V. Development of the Material Balance Model to Account for Changes in the Well Productivity Index. Math Models Comput Simul 14, 691–699 (2022). https://doi.org/10.1134/S2070048222050131
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DOI: https://doi.org/10.1134/S2070048222050131