Abstract
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.
Highlights
For over 150 years, different drilling fluids such as drilling muds, drill-in fluids, spacers and washers, cement slurries and fracturing fluids have been used in the drilling practice
The knowledge of a fluid rheological model is crucial since the accuracy of fitting a rheological model to the actual property of fluid minimises errors of values being calculated, including the nature of the fluid flow, fluid flow resistance in the circulatory system, diameters of drilling or extending tool nozzles, mechanical and hydraulic parameters of the drilling technology, particle sedimentation and the effectiveness of cuttings removal, injection radius and the technology of its application, power consumption during mixing, mixing efficiency and issues relating to thermal conductivity during flow and mixing
The measurements were made in the Drilling Fluids Laboratory in the Department
Summary
For over 150 years, different drilling fluids such as drilling muds, drill-in fluids, spacers and washers, cement slurries and fracturing fluids have been used in the drilling practice. In order to describe cause and effect relations occurring between rheological parameters of a fluid and the technology of its use, rheological models are developed. The knowledge of a fluid rheological model is crucial since the accuracy of fitting a rheological model to the actual property of fluid minimises errors of values being calculated, including the nature of the fluid flow, fluid flow resistance in the circulatory system, diameters of drilling or extending tool nozzles, mechanical and hydraulic parameters of the drilling technology, particle sedimentation and the effectiveness of cuttings removal, injection radius and the technology of its application (stream of flow volume, pressure and time of injection performance), power consumption during mixing, mixing efficiency and issues relating to thermal conductivity during flow and mixing
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