On a Method of Solving Non-Isothermal Two-Phase Filtration Problems

A numerical method is considered based on the numerical modelling of the problem of a nonisothermal process of nonlinear filtration of two-phase fluid, taking into account relative phase permeabilities and capillary forces. Numerical implementation of the algorithm is carried out using the finite di...

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Bibliographic Details
Published in:Proceedings of the Latvian Academy of Sciences. Section B, Natural Sciences Vol. 79; no. 3; pp. 220 - 225
Main Authors: Gasimov, Sardar, Mammadov, Rashad
Format: Journal Article
Language:English
Published: Riga Sciendo 01.09.2025
De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
Subjects:
adaptive grid
Algorithms
Cold water
conservative scheme
depletion layer
Filtration
Finite difference method
Heat transfer
high viscosity oil
Hot water
hydrophilic layer
Injection
Iterative methods
Mathematical models
non-isothermal filtration
Numerical analysis
Numerical methods
Numerical models
Oil and gas fields
Oil fields
Oil recovery
Oils & fats
Periodicity
specific heat
Temperature effects
tridiagonal matrix algorithm
Viscosity
Water flooding
Water injection
ISSN:2255-890X, 1407-009X, 2255-890X
Online Access:Get full text
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Summary:A numerical method is considered based on the numerical modelling of the problem of a nonisothermal process of nonlinear filtration of two-phase fluid, taking into account relative phase permeabilities and capillary forces. Numerical implementation of the algorithm is carried out using the finite difference method on an adaptive grid. The proposed difference-iterative method in adaptive grids can be used to find a rational method for treating the oil layer. The following issues are studied by means of numerical calculations: assessment of the efficiency of hot water injection compared to cold water injection in the development of oilfields containing medium and high viscosity oils, impact of the periodicity of hot and cold water injection on the oil recovery, impact of preliminary water saturation on the ultimate oil recovery in case of hot water injection, and assessment of the impact of thermal effect on the oil recovery from the depletion layer.
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content type line 14
ISSN:2255-890X
1407-009X
2255-890X
DOI:10.2478/prolas-2025-0015