{"title":"Numerical Modeling of Unsteady Oil Leakage from a Damaged Reservoir into the Water","authors":"I. V. Morenko","doi":"10.1134/S0015462824604480","DOIUrl":null,"url":null,"abstract":"<p>The time-dependent problem of oil outflow from a defected reservoir into water is considered. The mathematical model of the joint flow of three immiscible phases (water, oil, and air) includes the continuity and Navier–Stokes equations, together with the equation for determining the interphase surface location. The problem is solved using the finite volume method. The velocity of the oil outflow from the tank, the fluid velocity profile in the orifice section, and the orifice size effect on the drop of oil level are determined. Different variants of filling the ballast space of a tanker are estimated from the standpoint of minimizing the negative effect of the petroleum products spill on the surrounding medium. It is shown that in the emergency case the presence of ballast space filled with water reduces considerably the volume of the oil seepage into the water.</p>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":"60 2","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2025-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fluid Dynamics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0015462824604480","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
The time-dependent problem of oil outflow from a defected reservoir into water is considered. The mathematical model of the joint flow of three immiscible phases (water, oil, and air) includes the continuity and Navier–Stokes equations, together with the equation for determining the interphase surface location. The problem is solved using the finite volume method. The velocity of the oil outflow from the tank, the fluid velocity profile in the orifice section, and the orifice size effect on the drop of oil level are determined. Different variants of filling the ballast space of a tanker are estimated from the standpoint of minimizing the negative effect of the petroleum products spill on the surrounding medium. It is shown that in the emergency case the presence of ballast space filled with water reduces considerably the volume of the oil seepage into the water.
期刊介绍：
Fluid Dynamics is an international peer reviewed journal that publishes theoretical, computational, and experimental research on aeromechanics, hydrodynamics, plasma dynamics, underground hydrodynamics, and biomechanics of continuous media. Special attention is given to new trends developing at the leading edge of science, such as theory and application of multi-phase flows, chemically reactive flows, liquid and gas flows in electromagnetic fields, new hydrodynamical methods of increasing oil output, new approaches to the description of turbulent flows, etc.
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