title: Comparative Analysis of Mathematical Models of Capillary Imbibition on Experimental Data
metadata.name: dc.contributor.author
metadata.value: Tsykunov, Oleg Igorevich
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-12-02T13:15:37Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-12-02T13:15:37Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-03
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu35.2024.108
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/48043
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper, a comparative analysis of various approaches to modeling the process of capillary imbibition in oil-saturated rocks is carried out. Today, the permeability of developed oil fields is decreasing, due to which capillary processes begin to make a significant contribution to filtration. Therefore, the issue of reservoir-scale imbibition modeling is becoming increasingly relevant. Capillary imbibition is a process of spontaneous filtration of a liquid into a porous medium under the action of capillary forces. The aim of the study is to analyze approaches to the mathematical description of this process. To do this, one-dimensional models of single-phase imbibition by Handy, Lee and Horn, Benavente and Kai are considered, the Schmid one-dimensional two-phase imbibition equation is solved, and the ability of the filtration model in the tNavigator software package to predict imbibition is checked. For verification, real experiments on core are simulated. Based on the simulation results, conclusions are drawn that single-phase models have an increased error due to the interaction of water with the second phase and non-physical values of free parameters, which is why it is not recommended to scale them to large rock volumes. The two-phase model does not consider gravity, due to which the error increases at the last stages of vertical imbibition, so this approach must be modified to consider gravitational forces in the imbibition equation. A numerical one-dimensional experiment on a hydrodynamic simulator using the proposed core modeling technique showed the best convergence with experimental data with an error of 1 to 4%, which is why it is recommended for modeling capillary processes on the scale of a well.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Differential Equations and Control Processes;Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: Capillary imbibition
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: hydrodynamics
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: oil
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: capillary imbibition model
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Comparative Analysis of Mathematical Models of Capillary Imbibition on Experimental Data
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 24108-jdecp-tsukanov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/48043/1/24108-jdecp-tsukanov.pdf
resources.format: Adobe PDF
resources.size: 1,14 MB