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JOURNALS // Mathematical notes of NEFU // Archive

Mathematical notes of NEFU, 2022 Volume 29, Issue 4, Pages 95–112 (Mi svfu371)

This article is cited in 1 paper

Mathematical modeling

Determining the optimal location of a multilateral fishbone well, taking into account the peculiarities of the Srednebotuobinskoye oil and gas condensate eld using hydrodynamic modeling

K. O. Tomskiy, M. S. Ivanova, N. S. Oshchepkov, N. G. Sokolov

Mirnyi Polytechnic Institute (branch of the North-Eastern Federal University in Mirnyi)

Abstract: The main purpose of using digital hydrodynamic modeling is to predict the state of an oil or gas reservoir and determine ways to increase the ultimate oil recovery. The simulated physical system is described by the corresponding mathematical equations. Mathematical models are based on non-linear partial differential equations with appropriate initial and boundary conditions. The equations describing the mathematical model of the reservoir are almost always so complex that they cannot be solved analytically. The paper presents the main fundamental di erential equations used in the modeling of hydrocarbon reservoirs. Using the hydrodynamic simulator Tempest More(Roxar), calculations were carried out to determine the optimal location of a multilateral fishbone well using the example of the geologically complex Srednebotuobinskoye oil and gas condensate eld (SBNGKM), located on the territory of the Republic of Sakha(Yakutia). To date, the most branched well in the Russian Federation has been drilled at the SBNGKM. The main object of eld development is the Botuobinsky horizon, in which about 3/4 of the geological reserves of the reservoir are concentrated in a thinoil rim with an average oil-saturated layer thickness of 10 m with an extensive gas cap.The development of the SBNGKM is carried out by horizontal and multilateral wells,called " sh skeleton" and "birch leaf" due to their design features. Thanks to the use ofsuch wells, it is possible to reduce the drawdown on the reservoir, thereby preventing gas breakthroughs into wells in conditions of a thin oil rim. In the work, calculations were made of the technological parameters of the development of the SBNGKM at di erent locations of the multilateral horizontal well along the oil-saturated thickness, conclusions were drawn about the optimal well drilling, the need for an individual approach was determined when drilling the well, taking into account the change in the thickness of the oil-saturated layer and gas cap in the eld, as well as the presence of zones with high viscosity oil.

Keywords: hydrodynamic modeling, non-linear differential equations, Srednebotuobinskoye oil and gas condensate field, multilateral well, cumulative oil production, oil flow rate, gas cap, gas-oil ratio, bottom water, thin oil rim, inclined oil-water contact.

UDC: 550.8.053

Received: 14.07.2022
Accepted: 29.11.2022

DOI: 10.25587/SVFU.2023.68.12.008



© Steklov Math. Inst. of RAS, 2024