Uncertainty Quantification of Buckley Leverett Equation with Oil Viscosity as Random Variable

Reservoir simulation is an important but tough task in the petroleum sector. Reservoir properties (rocks and uids) exhibit uncertainties in their values thus, quantification of uncertainty of reservoir prediction models becomes a necessity. In this paper, an application of uncertainty quantification...

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Published inJournal of Advances in Mathematics and Computer Science Vol. 39; no. 3; pp. 1 - 10
Main Authors Nwaigwe, Chinedu, Isobo, Samson, Weli, Azubuike
Format Journal Article
LanguageEnglish
Published Journal of Advances in Mathematics and Computer Science 22.02.2024
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ISSN2456-9968
2456-9968
DOI10.9734/jamcs/2024/v39i31870

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Summary:Reservoir simulation is an important but tough task in the petroleum sector. Reservoir properties (rocks and uids) exhibit uncertainties in their values thus, quantification of uncertainty of reservoir prediction models becomes a necessity. In this paper, an application of uncertainty quantification has been carried out using the Buckley Leverett model for two-phase immiscible ow in porous media considering the randomness of oil viscosity in the model. Based on the Monte Carlo method for uncertainty quantification, we use a finite volume scheme to obtain the deterministic solution. Our solutions revealed that water saturation during water ooding process for secondary oil recovery can be affected by randomness of oil viscosity.
ISSN:2456-9968
2456-9968
DOI:10.9734/jamcs/2024/v39i31870