The forecast of the flow rate in a horizontal well after multistage hydraulic fracturing in conditions of nonlinear filtration of oil
https://doi.org/10.51890/2587-7399-2023-8-2-112-121
Abstract
Aim. In order to increase the forecast indicators of oil production using an analytical approach in conditions when the flow of fluid to a horizontal well cannot be described by Darcy’s linear filtration law, an estimation technique using a nonlinear filtration law has been developed.
Materials and methods. using mathematical modeling, the functional dependence of the flow rate of a horizontal well drilled in a low-permeability reservoir on the nonlinear filtration law was derived. A stable mathematical solution has been found that makes it possible to use the “gluing point” — the transition zone from linear to nonlinear flow.
Results. The article proposes a fluid filtration model that takes into account the influence of inertial forces (and, as a consequence, the change in the modulus of the fluid flow velocity) and solves a system of three nonlinear equations for three unknown functions (the pressure function in the reservoir and two components of the velocity vector). In comparison with the existing equations, the model proposed by the authors most reliably describes the dynamics of the production well in the oil field under consideration with low reservoir permeability.
Conclusion. Fluid filtration to a horizontal well in a low-permeable reservoir is accompanied by high values of surface friction between the rock skeleton and the filtered fluid, which leads to a violation of Darcy’s linear law. Most of the existing models do not take into account the nonlinearity of fluid filtration in low-permeable reservoirs, which leads to significant errors in the forecast of technological performance of the producing well, and, in particular, the flow rate of the well for oil. The developed technique allowed to increase the accuracy of predictive analytical calculations by taking into account nonlinear effects.
About the Authors
O. N. Shevchenko
St. Petersburg Institute of the Peter Great; Gazprom-neft STC LLC
Russian Federation
Russian Federation
Oksana N. Shevchenko — Chief engineer of the project
75–79 liter D, Moika River emb., 190000, Saint Petersburg
S. V. Onuchin
St. Petersburg Institute of the Peter Great; Gazprom-neft STC LLC
Russian Federation
Russian Federation
Sergey V. Onuchin — Account manager of Messoyakhaneftegaz
75–79 liter D, Moika River emb., 190000, Saint Petersburg
A. M. Zinoviev
Samara State Technical University
Russian Federation
Russian Federation
Alexey M. Zinoviev — Cand. of Sci. (Tech.), Deputy head of Academic Affairs, Associate Professor
244, Molodogvardeyskaya str., 443000, Samara
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Review
For citations:
Shevchenko O.N., Onuchin S.V., Zinoviev A.M. The forecast of the flow rate in a horizontal well after multistage hydraulic fracturing in conditions of nonlinear filtration of oil. PROneft. Professionally about Oil. 2023;8(2):112-121. (In Russ.) https://doi.org/10.51890/2587-7399-2023-8-2-112-121
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