Selection of a Suitable Rheological Model for Drilling Fluid Using Applied Numerical Methods

The accuracy of fitting the rheological model to the properties of actual drilling fluid minimises the errors of the calculated technological parameters applied while drilling oil wells. This article presents the methodology of selecting the optimum drilling fluid rheological model. Apart from class...

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Main Authors: Rafał Wiśniowski, Krzysztof Skrzypaszek, Tomasz Małachowski
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/13/12/3192
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author Rafał Wiśniowski
Krzysztof Skrzypaszek
Tomasz Małachowski
author_facet Rafał Wiśniowski
Krzysztof Skrzypaszek
Tomasz Małachowski
author_sort Rafał Wiśniowski
collection DOAJ
description The accuracy of fitting the rheological model to the properties of actual drilling fluid minimises the errors of the calculated technological parameters applied while drilling oil wells. This article presents the methodology of selecting the optimum drilling fluid rheological model. Apart from classical rheological models, i.e., the Newtonian, Bingham Plastic, Casson, Ostwald de Waele and Herschel–Bulkley models, it has been proposed to consider the Vom Berg and Hahn-Eyring models, which have not been applied to describe drilling fluids so far. In the process of determining rheological parameters for the Bingham Plastic, Casson, Ostwald de Waele and Newtonian models, it is proposed to use a linear regression method. In the case of the Herschel–Bulkley, Vom Berg and Hahn-Eyring models, it is suggested to use a non-linear regression method. Based on theoretical considerations and mathematical relations developed in the Department of Drilling and Geoengineering, Drilling, Oil and Gas Faculty, at AGH University of Science and Technology, an original computer program called Rheosolution was developed, which enables automation of the process of determining the optimum drilling fluid rheological model. Some examples show the practical application of the method of selecting the optimum drilling fluid rheological model. Taking into account data from actual measurements of drilling fluid properties, it has been proven that the Vom Berg and Hahn-Eyring rheological models are best fitted to the description of drilling fluid rheological parameters.
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spelling doaj.art-f2ee896dbda24f5fbd6269ea3ed6f09d2023-11-20T04:23:47ZengMDPI AGEnergies1996-10732020-06-011312319210.3390/en13123192Selection of a Suitable Rheological Model for Drilling Fluid Using Applied Numerical MethodsRafał Wiśniowski0Krzysztof Skrzypaszek1Tomasz Małachowski2Department of Drilling and Geoengineering, Faculty of Drilling Oil and Gas, AGH University of Science and Technology, Mickiewicza 30 Av., 30–059 Kraków, PolandDepartment of Drilling and Geoengineering, Faculty of Drilling Oil and Gas, AGH University of Science and Technology, Mickiewicza 30 Av., 30–059 Kraków, PolandDepartment of Drilling and Geoengineering, Faculty of Drilling Oil and Gas, AGH University of Science and Technology, Mickiewicza 30 Av., 30–059 Kraków, PolandThe accuracy of fitting the rheological model to the properties of actual drilling fluid minimises the errors of the calculated technological parameters applied while drilling oil wells. This article presents the methodology of selecting the optimum drilling fluid rheological model. Apart from classical rheological models, i.e., the Newtonian, Bingham Plastic, Casson, Ostwald de Waele and Herschel–Bulkley models, it has been proposed to consider the Vom Berg and Hahn-Eyring models, which have not been applied to describe drilling fluids so far. In the process of determining rheological parameters for the Bingham Plastic, Casson, Ostwald de Waele and Newtonian models, it is proposed to use a linear regression method. In the case of the Herschel–Bulkley, Vom Berg and Hahn-Eyring models, it is suggested to use a non-linear regression method. Based on theoretical considerations and mathematical relations developed in the Department of Drilling and Geoengineering, Drilling, Oil and Gas Faculty, at AGH University of Science and Technology, an original computer program called Rheosolution was developed, which enables automation of the process of determining the optimum drilling fluid rheological model. Some examples show the practical application of the method of selecting the optimum drilling fluid rheological model. Taking into account data from actual measurements of drilling fluid properties, it has been proven that the Vom Berg and Hahn-Eyring rheological models are best fitted to the description of drilling fluid rheological parameters.https://www.mdpi.com/1996-1073/13/12/3192drillingdrilling fluidsrheologyrheological modelnumerical methods
spellingShingle Rafał Wiśniowski
Krzysztof Skrzypaszek
Tomasz Małachowski
Selection of a Suitable Rheological Model for Drilling Fluid Using Applied Numerical Methods
Energies
drilling
drilling fluids
rheology
rheological model
numerical methods
title Selection of a Suitable Rheological Model for Drilling Fluid Using Applied Numerical Methods
title_full Selection of a Suitable Rheological Model for Drilling Fluid Using Applied Numerical Methods
title_fullStr Selection of a Suitable Rheological Model for Drilling Fluid Using Applied Numerical Methods
title_full_unstemmed Selection of a Suitable Rheological Model for Drilling Fluid Using Applied Numerical Methods
title_short Selection of a Suitable Rheological Model for Drilling Fluid Using Applied Numerical Methods
title_sort selection of a suitable rheological model for drilling fluid using applied numerical methods
topic drilling
drilling fluids
rheology
rheological model
numerical methods
url https://www.mdpi.com/1996-1073/13/12/3192
work_keys_str_mv AT rafałwisniowski selectionofasuitablerheologicalmodelfordrillingfluidusingappliednumericalmethods
AT krzysztofskrzypaszek selectionofasuitablerheologicalmodelfordrillingfluidusingappliednumericalmethods
AT tomaszmałachowski selectionofasuitablerheologicalmodelfordrillingfluidusingappliednumericalmethods